hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Lagrange's four-square theorem
Lagrange's four-square theorem, also known as Bachet's conjecture, states that every nonnegative integer can be represented as a sum of four non-negative integer squares. That is, the squares form an additive basis of order four:
 
where the four numbers  are integers. For illustration, 3, 31, and 310 can be represented as the sum of four squares as follows:

This theorem was proven by Joseph-Louis Lagrange in 1770. It is a special case of the Fermat polygonal number theorem.

On-Line Encyclopedia of Integer Sequences
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the intellectual property and hosting of the OEIS to the OEIS Foundation in 2009, and is its chairman.

OEIS records information on integer sequences of interest to both professional and amateur mathematicians, and is widely cited. As of November 2025, it contains over 390,000 sequences, and is growing by approximately 30 entries per day.

Each entry contains the leading terms of the sequence, keywords, mathematical motivations, literature links, and more, including the option to generate a graph or play a musical representation of the sequence. The database is searchable by keyword, by subsequence, or by any of 16 fields. There is also an advanced search function called SuperSeeker which runs a large number of different algorithms to identify sequences related to the input.
Carol Vita
Carol Vita is a Republican former New Hampshire state representative from the Strafford 3rd District. In 2011 she endorsed Republican presidential candidate Ron Paul.

Vita was a sponsor for a lawsuit to have Barack Obama dropped from the New Hampshire Presidential race in 2012, claiming that Obama was not born in the United States.

Strafford County, New Hampshire
Strafford County is a county in the U.S. state of New Hampshire. As of the 2020 census, the population was 130,889. Its county seat is Dover. Strafford County was one of the five original counties identified for New Hampshire in 1769. It was named after William Wentworth, 2nd Earl of Strafford in the mistaken belief that he was the ancestor of governor John Wentworth – although they were distantly related, William had no descendants. The county was organized at Dover in 1771. In 1840, the size of the original county was reduced with the creation of Belknap County.

Strafford County constitutes a portion of the Boston-Cambridge-Newton, MA-NH Metropolitan Statistical Area as well as of the greater Boston-Worcester-Providence, MA-RI-NH-CT Combined Statistical Area. It is estimated to be New Hampshire's county with the highest percentage growth over the 2010–2019 period.
Philip J. Lang
Philip J. Lang (17 April 1911, in New York – 22 February 1986, in Branford, Connecticut) was an American musical arranger, orchestrator and composer of band music, as well as a musical educator. He is credited for writing the orchestral arrangements (orchestrations) for over 50 Broadway theatre shows, including many landmark productions, such as Li'l Abner (1956), Hello, Dolly! (1964), Mame (1966), George M (1968), Annie (1977) and 42nd Street (1980). Together with Robert Russell Bennett, he orchestrated the record-breaking productions of Lerner and Loewe's My Fair Lady (1956) and Camelot (1960).  Russell Bennett, the dean of musical orchestrators, remarked that the original arrangements Lang had prepared for Annie Get Your Gun (1946), which utilized a modern technique of orchestral scoring, were beautifully done.

Lerner and Loewe
Lerner and Loewe is the partnership between lyricist and librettist Alan Jay Lerner and composer Frederick Loewe. Spanning three decades and nine musicals from 1942 to 1960 and again from 1970 to 1972, the pair are known for being behind the creation of critical on stage successes such as My Fair Lady, Brigadoon, and Camelot along with the musical film Gigi.
Richard Hellaby
Richard Hellaby (5 January 1849 – 20 June 1902) was a New Zealand butcher and businessman. He was born in Thurvaston, Derbyshire, England on 5 January 1849. He died at age 53 and was buried at Purewa Cemetery in the Auckland suburb of Meadowbank. After his death, his wife Amy Hellaby took over the running of the business.

Purewa Cemetery
Purewa Cemetery is a privately run cemetery located in Auckland, New Zealand, on the southern banks of the Pourewa Creek. Established on part of the grounds of the St John's Theological College in 1889, the Purewa is one of the few privately run cemeteries in Auckland. It occupies a site of 45 ha (110 acres) and contains two chapels and a crematorium. Notable burials at the cemetery include Prime Minister Robert Muldoon and actor Kevin Smith, and figures including Sir Edmund Hillary and broadcaster Paul Holmes have been cremated at the cemetery.
2013 Bet-at-home Cup Kitzbühel – Doubles
František Čermák and Julian Knowle were the defending champions but decided not to participate together. Knowle teamed up with Leonardo Mayer, but lost in the first round to Daniel Brands and Michal Mertiňák.  Čermák played alongside Lukáš Dlouhý, but lost in the final to Martin Emmrich and Christopher Kas, 4–6, 3–6.

Julian Knowle
Julian Knowle (born 29 April 1974) is an Austrian former  professional tennis player. Being a born left-hander, Knowle was one of the few on the ATP Tour who played his forehand, backhand, and even volleys double-handed. He was Austria's most successful doubles player in history by reaching world No. 6 in the ATP doubles rankings in January 2008, before being matched by Jürgen Melzer, who reached No. 6 in September 2010, and overtaken only by Alexander Peya, who reached No. 3 in August 2013.
Lent Bumps 2013
The Lent Bumps 2013 was a series of rowing races at Cambridge University from Tuesday 26 February 2013 to Saturday 2 March 2013. The event was run as a bumps race and was the 126th set of races in the series of Lent Bumps which have been held annually in late February or early March since 1887. See Lent Bumps for the format of the races. 121 crews took part (69 men's crews and 52 women's crews), with nearly 1100 participants in total.

Churchill College Boat Club
Churchill College Boat Club is the rowing club for members of Churchill College, Cambridge.

The club colours are pink and brown, chosen because they were the horse-racing colours of Sir Winston Churchill. In recent years, the club has become famous for its lurid pink racing shells. The men's 1st VIII started the trend in 2002, with the women taking delivery of their own in 2006. The trend has continued to the extent that the club now has a pink double scull. The women also sport pink splash-tops and lycra in the summer months.

Churchill College shares a boat house, known as "Combined", with Selwyn, King's and The Leys School. The boat house is the furthest downstream of all the College boathouses, which is a natural advantage for early morning outings.
2015 Tour de Pologne
The 2015 Tour de Pologne was the 72nd edition of the Tour de Pologne stage race. It took place from 2 to 8 August and was the twentieth race of the 2015 UCI World Tour. It was won by the Spanish cyclist Jon Izagirre.

Metropolis GZM
The Metropolis GZM (Polish: Metropolia GZM, formally in Polish Górnośląsko-Zagłębiowska Metropolia (Upper Silesian-Dąbrowa Basin Metropolis)) is a metropolitan association (Polish: związek metropolitalny) composed of 41 contiguous gminas, with a total population of over 2 million, covering most of the Katowice metropolitan area in the Silesian Voivodeship of Poland. The seat of metropolitan administration is Katowice, the largest member city and the voivodeship capital.
Chile–Venezuela relations
Chile–Venezuela relations are the diplomatic relations between the Republic of Chile and the Bolivarian Republic of Venezuela. Both nations are members of the Community of Latin American and Caribbean States, Group of 77, Latin American Integration Association, Organization of American States, Organization of Ibero-American States and the United Nations.

Organization of Ibero-American States
The Organization of Ibero-American States (Spanish: Organización de Estados Iberoamericanos, Portuguese: Organização de Estados Iberoamericanos, Catalan: Organització d'Estats Iberoamericans; abbreviated as OEI), formally the Organization of Ibero-American States for Education, Science and Culture, is an international organization made up of 23 member states of Iberophone nations in Europe and the Americas, as well as one member in Africa. The OEI's membership is composed of all of the sovereign states of Ibero-America and the Iberian Peninsula, as well as Equatorial Guinea. All members are Portuguese and Spanish speaking nations, in addition to Andorra, which is predominantly Catalan speaking, though the organization does not include all the Iberophone nations of the world.
Aşağı Qışlaq
Aşağı Qışlaq (also Ashagy Gyshlag and Alimammad-Gyshlag ) is a village and municipality in the Shahbuz District of Nakhchivan, Azerbaijan. It is located one kilometer from the Yevlakh-Lachin-Nakhchivan highway and twelve kilometers north-east of the district center. The main sectors of industry for the village include gardening and animal husbandry. There is a secondary school, a library, a communications branch, a club, and a medical center in the village. It has a population of 917.

Shahbuz District
Shahbuz District (Azerbaijani: Şahbuz rayonu) is one of the 7 districts of the Nakhchivan Autonomous Republic of Azerbaijan. The district borders the districts of Julfa, Babek, and the Syunik and Vayots Dzor provinces of Armenia. Its capital and largest city is Shahbuz. As of 2020, the district had a population of 25,300.
Mohali
Mohali, officially Sahibzada Ajit Singh Nagar or  Ajitgarh, is a planned city in the Mohali district in Punjab, India, which is an administrative and a commercial hub lying south-west of Chandigarh. It is the headquarters of the Mohali district and one of the six Municipal Corporations of the State. It is officially named after Sahibzada Ajit Singh, the eldest son of Guru Gobind Singh.

Mohali has developed rapidly as an IT hub of the state of Punjab, and has thus grown in importance. 
The Government of Punjab has initiated significant infrastructure and recreation projects in attempts to increase the standard of living in Mohali. Roads have been built to create networks between Mohali and Chandigarh International Airport to boost its international connectivity.

Mohali was earlier a part of the Rupnagar district and was carved out and made a part of a separate district in 2006.

Rupnagar district
Rupnagar district is one of twenty-three districts in the state of Punjab, India. The city of Rupnagar is said to have been founded by a Raja called Rokeshar, who ruled during the 11th century and named it after his son Rup Sen. It is also the site of an ancient town of the Indus Valley civilization. The major cities in Rupnagar District are Morinda, Nangal and Anandpur Sahib. Morinda is also known as Baghwāla "[The City] of Gardens." Morinda is located on the Chandigarh-Ludhiana Highway. The Nangal dam, part of Bhakra Dam in Himachal Pradesh, lies in the border of Rupnagar district and Bilaspur district of Himachal Pradesh. Dadhi is one of the most important villages of the district, particularly because of Gurudwara Sri Hargobindsar Sahib. It is bordered by Bilaspur, Una and Solan districts of Himachal Pradesh and Hoshiarpur, Mohali, Ludhiana, Fategarh Sahib and Shahid Bhagat Singh Nagar districts of Punjab.
Are (surname)
Are (Chinese: 阿熱; pinyin: Ārè), also rendered as Aro and Aje, is a Chinese surname with origins in the Western Regions. The Biographies of the Huigu from the New Book of Tang stated:

The Xiajiasi claimed to be descendants of Li Ling......The Xiajiasi are what were in ancient times the Kingdom of Jiankun [(堅昆)]......As their ruler was known as Are, they took the surname of Are.

The ruling house of the Yenisei Kyrgyz Khaganate bore the surname Are. Yenisei Kyrgyz khagans claimed descent from the Han dynasty general Li Ling.

Uyghur Khaganate
The Uyghur Khaganate, Khanate, or Empire, self defined as the Toquz Oghuz ("Nine Tribes") and known to the Tang Chinese as the Jiuxing  was a Turkic empire that existed for about a century between the mid 8th and 9th centuries. It was a tribal confederation under the Uyghur nobility.
Diplomat pudding
Diplomat pudding (French: Diplomate au Bavarois) is a cold dessert prepared in a mold.  There are two methods of preparation.  The more common method uses ladyfingers soaked in rum or Kirsch flavored syrup, layered with candied fruit, apricot jam, and an egg custard or Bavarian cream.  This is then refrigerated, then later removed from the mold and coated with a fruit sauce or custard cream.

In the second method of preparation, the ladyfingers are replaced with stale brioche soaked in milk, and the entire pudding is cooked in a bain-marie before the refrigeration process.

Bain-marie
A bain-marie (English: /ˌbænməˈriː/ BAN-mə-REE, French: [bɛ̃ maʁi]), also known as a water bath or double boiler, a type of heated bath, is a piece of equipment used in science, industry, and cooking to heat materials gently or to keep materials warm over a period of time. A bain-marie is also used to melt ingredients for cooking.
Hits: Greatest and Others
Hits: Greatest and Others was a 1973 compilation Vanguard put together at the end of Joan Baez' association with their label.  In addition to her hit cover of The Band's "The Night They Drove Old Dixie Down", songs by the Beatles and Kris Kristofferson were also included.  Unlike previous compilations, this one skipped over most of Baez' earlier traditional material almost entirely, in favor of her more recent singer-songwriter material and covers.

Vanguard Records
Vanguard Recording Society is an American record label set up in 1950 by brothers Maynard and Seymour Solomon in New York City. It was primarily a classical label during its peak in the 1950s and 1960s, but also has a catalogue of recordings by a number of pivotal jazz, folk, and blues musicians. The Bach Guild was a subsidiary label.

The label was acquired by Concord Bicycle Music in April 2015.
Bjarne Bogen
Bjarne Bogen (born 18 January 1951) is a Norwegian immunologist, inventor and physician. He is widely known for his research on DNA vaccines, autoimmune disorders and cancer immunology. In recognition of his contributions, he was appointed Knight 1st Class of the Royal Norwegian Order of St. Olav in October 2025.

Cancer immunology
Cancer immunology (immuno-oncology) is an interdisciplinary branch of biology and a sub-discipline of immunology that is concerned with understanding the role of the immune system in the progression and development of cancer; the most well known application is cancer immunotherapy, which utilises the immune system as a treatment for cancer. Cancer immunosurveillance and immunoediting are based on protection against development of tumors in animal systems and (ii) identification of targets for immune recognition of human cancer.
Flow On
"Flow On (New Symphony)" is the fifth and final single released from the Lords of the Underground's debut album, Here Come the Lords. The original song was produced by Marley Marl and featured verses from the group's affiliates, Kid Deleon and Sah-B, while Pete Rock contributed a remix of the song. "Flow On" peaked at 36 on the Hot Rap Singles and sampled "Float On" by The Floaters.

Marley Marl
Marlon Lu'Ree Williams (born September 30, 1962), better known by his stage name Marley Marl, is an American DJ, record producer, rapper and record label founder, primarily operating in hip-hop music. Marlon grew up in Queensbridge housing projects located in Queens, New York. He performed in local talent shows during the early days of rap music, further fueling his interest.

He was also featured on Eric B. & Rakim's "Paid in Full" from their debut album, which was also recorded in his studio. 
He is credited with influencing a number of hip hop icons such as Biggie Smalls, RZA, DJ Premier, Madlib, and Pete Rock. Producer Madlib stated in an interview that Marley was the first producer who inspired him to make beats. Vibe magazine wrote that he, "forever changed the sound of hip-hop with his unique beat barrages."
Knoellia
Knoellia is a genus of Gram positive, aerobic, non-endosporeforming bacteria. Species in this genus are mesophilic and have cells that are irregular rods or coccoid.

The genus was first proposed in 2002. The type species K. sinensis was first isolated from cave soil in Guilin, China. The genus is named after Hans Knöll, a German physician and microbiologist, and a "pioneer in antibiotic research.  Other members of this genus have been initially isolated from soil, air, and pig manure. K. remsis was originally classified in the genus Tetrasphaera, but was reclassified into Knoellia in 2018.

Species from this genus produce white or cream-colored colonies on R2A agar, expect for K. flava, which produces yellow colonies. All species are mesophilic; optimum growth is between 28 and 35 °C and pH 5.0-9.0. K. remsis is the only species capable of growth above 42 °C.

Guilin
Guilin (Standard Zhuang: Gveilinz), formerly romanized as Kweilin, is a prefecture-level city in the northeast of China's Guangxi Zhuang Autonomous Region. It is situated on the west bank of the Li River and borders Hunan to the north. Its name means "forest of sweet osmanthus", owing to the large number of fragrant sweet osmanthus trees located in the region. The city has long been renowned for its scenery of karst topography.

Guilin is one of China's most popular tourist destinations, and the epithet "By water, by mountains, most lovely, Guilin" (山水甲天下) is often associated with the city. The State Council of China has designated Guilin a National Famous Historical and Cultural City, doing so in the first edition of the list.
Rialto Theater (Los Angeles)
Rialto Theater, formerly Quinn's Rialto Theater and Grauman’s Rialto, is a historic former movie theater located at 812 S. Broadway in the Broadway Theater District in the historic core of downtown Los Angeles.

Neon sign
In the signage industry, neon signs are electric signs lighted by long luminous gas-discharge tubes that contain rarefied neon or other gases. They are the most common use for neon lighting, which was first demonstrated in a modern form in December 1910 by Georges Claude at the Paris Motor Show.

While they are used worldwide, neon signs were popular in the United States from about the 1920s to 1950s. The installations in Times Square, many originally designed by Douglas Leigh, were famed, and there were nearly 2,000 small shops producing neon signs by 1940. In addition to signage, neon lighting is used frequently by artists and architects, and (in a modified form) in plasma display panels and televisions. The signage industry has declined in the past several decades, and cities are now concerned with preserving and restoring their antique neon signs.

Light emitting diode arrays can be formed and covered with a light diffuser to simulate the appearance of neon lamps.
Cameron Bairstow
Cameron David Bairstow (born 7 December 1990) is an Australian former professional basketball player. He played college basketball for the University of New Mexico before being drafted 49th overall in the 2014 NBA draft by the Chicago Bulls. He spent two seasons with the Bulls before playing five of next six years in the National Basketball League (NBL).

Australian Institute of Sport
The Australian Institute of Sport (AIS) is a high performance sports training institution in Australia. The institute's 66-hectare (163-acre) headquarters were opened in 1981 and are situated in the northern suburb of Bruce, Canberra. The AIS is a division of the Australian Sports Commission (ASC).
Austropyrgus bunyaensis
Austropyrgus bunyaensis is a species of small freshwater snail with an operculum, an aquatic gastropod mollusc or micromollusc in the family Tateidae. This species is endemic to southeastern Queensland, Australia. It is only known from small streams near the top of Mount Mowbullan, Bunya Mountains.

Bunya Mountains
The Bunya Mountains are a distinctive set of peaks forming an isolated section of the Great Dividing Range in southern Queensland. The mountain range forms the northern edge of the Darling Downs in the locality also called Bunya Mountains near Bell and Dalby. The mountains are south of Kingaroy and just to the south west of Nanango. The range is the remains of a shield volcano which was built from
numerous basalt lava flows about 23–24 million years ago.

In 2009 as part of the Q150 celebrations, the Bunya Mountains was announced as one of the Q150 Icons of Queensland for its role as a "Natural attraction". The Bunya Mountains hold a unique significance as the largest pan-tribal gathering place in eastern Australia, making them one of the most important cultural landscapes on the continent alongside Uluru.
2009 FIA GT3 European Championship
The 2009 FIA GT3 European Championship season was the fourth season of the FIA GT3 European Championship. The season began on 2 May at Silverstone and ended on 14 November 2009 at Zolder. The season featured six double-header rounds, with each race lasting for a duration of 60 minutes. Most of the events were support races to the 2009 FIA GT Championship season, the 2009 GT4 European Cup and the 2009 Lamborghini Super Trofeo.

Phoenix Racing pairing Christopher Haase and Christopher Mies claimed the overall title, with a fourth place in the final race of the season at Zolder. In the Teams Championship, Hexis Racing were champions ahead of Matech Racing and Team Rosberg.

Team Rosberg
Team Rosberg GmbH is a motor racing organisation that competes in single-seater and touring car disciplines in Europe. It was founded in 1994 by former Formula One world champion Keke Rosberg, of Finland. It is headquartered at Neustadt an der Weinstraße in Germany, and competes under a German racing licence.
Ayuko Ito
Ayuko Ito (伊藤 亜由子, Itō Ayuko; born 29 September 1986) is a Japanese short-track speed-skater.

Ito competed at the 2010 Winter Olympics for Japan. She finished third in her opening round race of the  1000 metres, failing to advance and placing 18th. She was also a member of the 3000 metre relay team, which finished third in the semifinals and fourth in the B Final, ending up seventh overall.

As of 2013, Ito has won one bronze medal at the World Championships, as a member of the Japanese relay team in 2013. Her best individual result is 9th, in the 2012 1500 metres.

As of 2013, Ito has ten ISU Short Track Speed Skating World Cup podium finishes, all as part of the Japanese relay team. Her best result is a silver medal, achieved three times.  Her best World Cup ranking is eighth, in the 1000 metres in 2011–12.

She also competed in the 2014 Winter Olympics and the 2018 Winter Olympics.

Short-track speed skating at the 2010 Winter Olympics – Women's 3000 metre relay
The finals in the women's 3000 metre relay in short track speed skating at the 2010 Winter Olympics took place on 24 February, at the Pacific Coliseum. In the final, the event was controversially won by the Chinese team, which set a new world record. The South Korean team initially finished first but was disqualified due to illegal contact which was deemed to have impeded a Chinese skater. Australian referee James Hewish subsequently received abusing and threatening emails including personal death threats from angry South Korean fans.