cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.15493/dea.mims.07752023
title: Raw PIES and current data for long-term observations of acoustic travel time (tau); bottom pressure and currents along the SAMBA transect at PIES P4 (October 2019 - October 2021)

description: South Atlantic Meridional Overturning Circulation (SAMOC-SA)
description: Here we present raw bottom pressure and acoustic travel time data from a Pressure-equipped Inverted Echo Sounder (PIES) located at a depth of 4500m at location P4 (34.500°S; 14.630°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean, between 12 October 2019 and 01 October 2021. The instrument was equipped with an additional 2000 khz Aanderaa Doppler Current Sensor (DCS) deployed at a depth of 4450m. In addition, both the PIES and the DCS were equipped with internal temperature sensors. The South African component of the international South Atlantic Meridional Overturning Circulation project (SAMOC-SA) aims to characterise the time-mean and time-varying components of the SAMOC in the South Atlantic Ocean and monitor the variability of the main Southern Ocean frontal systems associated with the Antarctic Circumpolar Current (ACC), south of Africa.
description: A bottom-mounted, upward-looking, Pressure-equipped Inverted Echo Sounder (PIES) was deployed at a depth of 4500m at location P4 (34.500°S; 14.630°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean. The instrument was set up to measure acoustic travel time (Tau) at 4 pings every 10 minutes, which were then internally averaged to save and output one Tau value per hour. Bottom pressure was recorded every 20 minutes, and then internally averaged to save and output one pressure value per hour. Tau and bottom pressure were recorded between 12 October 2019 and 01 October 2021. The instrument was equipped with an additional 2000 khz Aanderaa Doppler Current Sensor (DCS) deployed at a depth of 4450m, and set up to measure hourly current speed and direction. In addition, both the PIES and the DCS were equipped with internal temperature sensors.
DOI: 10.15493/dea.mims.07802023
title: Long-term observations of daily acoustic travel time along the SAMBA transect at PIES Mooring P5 (September 2013 – August 2015)

description: South Atlantic Meridional Overturning Circulation (SAMOC-SA)
description: Here we present processed travel time from a Pressure-equipped Inverted Echo Sounder (PIES) located at a depth of 4969m at location P5 (34.499°S; 11.203°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean, between 8 September 2013 and 11 August 2015. The South African component of the international South Atlantic Meridional Overturning Circulation project (SAMOC-SA) aims to characterise the time-mean and time-varying components of the SAMOC in the South Atlantic Ocean and monitor the variability of the main Southern Ocean frontal systems associated with the Antarctic Circumpolar Current (ACC), south of Africa.
description: A bottom-mounted, upward-looking, Pressure-equipped Inverted Echo Sounder was deployed at a depth of 4969m at location P5 (34.499°S; 11.203°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean. The instrument measured hourly bottom pressure and acoustic travel time (Tau), between 8 September 2013 and 11 August 2015. Measurements were de-tided, de-drifted, and de-spiked, using standard published University of Rhode Island (URI) software and protocols. A 72-hour 2nd order Butterworth filter was applied to hourly bottom pressure and acoustic travel time (Tau) observations. Tau values were then calibrated to a nominal pressure of 1000 db, and together with pressure observations, Tau was then subsampled to one value per day at noon (UTC). Bottom pressure anomalies have been computed relative to the record length average.
DOI: 10.5281/zenodo.17168340
title: Goldbach Conjecture Verification Beyond 4e18 - Amanollahi Methodology

description: This repository contains the full source code and results for verifying Goldbach’s Conjecture for even numbers greater than . The previous record, achieved by Tomás Oliveira e Silva, relied on supercomputing resources. In contrast, the innovative “Amanollahi Methodology” eliminates the need for supercomputers, completing the verification with only 2GB of memory on Google Colab, while still surpassing the prior record. Through advanced optimization strategies, this method achieves unprecedented computational efficiency.

Key Achievements

Record-Breaking Scale: Verified 1,000,000 even numbers from 4×10¹⁸ to 4×10¹⁸ + 2,000,000

Exceptional Speed: Average processing time of just 0.005 seconds per number (entire range completed in ~2 hours)

Minimal Resource Requirements: Only 2GB of RAM

Novel Algorithm: Intelligent midpoint-based search strategy at 

Technical Innovations

1. Optimized Primality Testing

Enhanced Miller–Rabin test with stronger bases

Pre-filtering using all primes up to 2000

Efficient modular exponentiation via Python’s built-in pow()

2. Strategic Search Algorithm

mid = N // 2

p = mid if (mid % 2 == 1) else (mid - 1) # Start from nearest odd to N/2

This reduces the average number of tests from millions to just 1–3 per number.

Included Files

goldbach_verification.py: Full Python implementation

goldbach_results_4e18.csv: Verification results for 1,000,000 numbers

Computational Environment

Platform: Google Colab

CPU: 8+ enterprise-grade cores

Memory: 2GB RAM

Execution Time: ~2 hour for 1,000,000 numbers

 

Mathematical Significance

These results provide new computational evidence supporting Goldbach’s Conjecture up to , significantly extending the previously verified range. The Amanollahi Method demonstrates that large-scale verification can be achieved efficiently with minimal resources through algorithmic innovation.
DOI: 10.5281/zenodo.17180991
title: Goldbach Conjecture Verification Beyond 4e18 - Amanollahi Methodology

description: This repository contains the full source code and results for verifying Goldbach’s Conjecture for even numbers greater than . The previous record, achieved by Tomás Oliveira e Silva, relied on supercomputing resources. In contrast, the innovative “Amanollahi Methodology” eliminates the need for supercomputers, completing the verification with only 2GB of memory on Google Colab, while still surpassing the prior record. Through advanced optimization strategies, this method achieves unprecedented computational efficiency.

Key Achievements

Record-Breaking Scale: Verified 1,000,000 even numbers from 4×10¹⁸ to 4×10¹⁸ + 2,000,000

Exceptional Speed: Average processing time of just 0.005 seconds per number (entire range completed in ~2 hours)

Minimal Resource Requirements: Only 2GB of RAM

Novel Algorithm: Intelligent midpoint-based search strategy at 

Technical Innovations

1. Optimized Primality Testing

Enhanced Miller–Rabin test with stronger bases

Pre-filtering using all primes up to 2000

Efficient modular exponentiation via Python’s built-in pow()

2. Strategic Search Algorithm

mid = N // 2

p = mid if (mid % 2 == 1) else (mid - 1) # Start from nearest odd to N/2

This reduces the average number of tests from millions to just 1–3 per number.

Included Files

goldbach_verification.py: Full Python implementation

goldbach_results_4e18.csv: Verification results for 1,000,000 numbers

Computational Environment

Platform: Google Colab

CPU: 8+ enterprise-grade cores

Memory: 2GB RAM

Execution Time: ~2 hour for 1,000,000 numbers

 

Mathematical Significance

These results provide new computational evidence supporting Goldbach’s Conjecture up to , significantly extending the previously verified range. The Amanollahi Method demonstrates that large-scale verification can be achieved efficiently with minimal resources through algorithmic innovation.
DOI: 10.15493/dea.mims.07732023
title: Raw PIES data for long-term observations of acoustic travel time (tau) and bottom pressure along the SAMBA transect at PIES P2 (October 2019 - October 2021)

description: South Atlantic Meridional Overturning Circulation (SAMOC-SA)
description: Here we present raw bottom pressure and acoustic travel time data from a Pressure-equipped Inverted Echo Sounder (PIES) located at a depth of 2136m at location P2 (34.497°S; 17.300°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean, between 14 October 2019 and 02 October 2021. In addition, the PIES was equipped with an internal temperature sensor. The South African component of the international South Atlantic Meridional Overturning Circulation project (SAMOC-SA) aims to characterise the time-mean and time-varying components of the SAMOC in the South Atlantic Ocean and monitor the variability of the main Southern Ocean frontal systems associated with the Antarctic Circumpolar Current (ACC), south of Africa.
description: A bottom-mounted, upward-looking, Pressure-equipped Inverted Echo Sounder (PIES) was deployed at a depth of 2136m at location P2 (34.497°S; 17.300°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean. The instrument was set up to measure acoustic travel time (Tau) at 4 pings every 10 minutes, which were then internally averaged to save and output one Tau value per hour. Bottom pressure was recorded every 20 minutes, and then internally averaged to save and output one pressure value per hour. Tau and bottom pressure were recorded between 14 October 2019 and 02 October 2021. In addition, the PIES was equipped with an internal temperature sensor.
DOI: 10.15493/dea.mims.08062023
title: Long-term observations of daily bottom currents along the SAMBA transect at PIES Mooring P7 (September 2013 – August 2015)

description: South Atlantic Meridional Overturning Circulation (SAMOC-SA)
description: Here we present processed northward and eastward velocity components from a 2000 khz Aanderaa Doppler Current Sensor (DCS) deployed at a depth of 4980m at location P7 (34.498°S; 03.719°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean, between 09 September 2013 and 07 August 2015. The South African component of the international South Atlantic Meridional Overturning Circulation project (SAMOC-SA) aims to characterise the time-mean and time-varying components of the SAMOC in the South Atlantic Ocean and monitor the variability of the main Southern Ocean frontal systems associated with the Antarctic Circumpolar Current (ACC), south of Africa.
description: A single-point 2000 khz Aanderaa Doppler Current Sensor (DCS) was deployed at a depth of 4980m at location P7 (34.498°S; 03.719°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean. The instrument measured hourly current speed and direction, between 09 September 2013 and 07 August 2015, which were processed using standard published University of Rhode Island (URI) software and protocols. Northward and eastward velocity components were subsampled to one value per day at noon (UTC), and have not been corrected for magnetic declination.
DOI: 10.25549/chinasociety-c32-974
title: China Society of Southern California. Correspondence, 1937

description: The China Society of Southern California has held meetings and events in Los Angeles since 1935, focusing on promoting an appreciation of Chinese culture. The collection consists of the Society’s foundation documents (constitution, by-laws), its Bulletin, meeting minutes, correspondence, financial records and various other records of their activities over the course of the last eighty years (1935-2015).The collection came to the University through connections made by Clayton Dube, Associate Director of USC’s U.S.-China Institute. Representatives of the China Society of Southern California, including its President (2014), Robert Lee, visited USC to discuss the donation of the material.See the finding aid (https://archives.usc.edu/repositories/6/resources/2808) for the China Society of Southern California records.
DOI: 10.15493/dea.mims.08042023
title: Long-term observations of daily bottom currents along the SAMBA transect at PIES Mooring P5 (September 2013 – August 2015)

description: South Atlantic Meridional Overturning Circulation (SAMOC-SA)
description: Here we present processed northward and eastward velocity components from a 2000 khz Aanderaa Doppler Current Sensor (DCS) deployed at a depth of 4919m at location P5 (34.499°S; 11.203°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean, between 08 September 2013 and 11 August 2015. The South African component of the international South Atlantic Meridional Overturning Circulation project (SAMOC-SA) aims to characterise the time-mean and time-varying components of the SAMOC in the South Atlantic Ocean and monitor the variability of the main Southern Ocean frontal systems associated with the Antarctic Circumpolar Current (ACC), south of Africa.
description: A single-point 2000 khz Aanderaa Doppler Current Sensor (DCS) was deployed at a depth of 4919m at location P5 (34.499°S; 11.203°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean. The instrument measured hourly current speed and direction, between 08 September 2013 and 11 August 2015, which were processed using standard published University of Rhode Island (URI) software and protocols. Northward and eastward velocity components were subsampled to one value per day at noon (UTC), and have not been corrected for magnetic declination.
DOI: 10.15493/dea.mims.07742023
title: Raw PIES and current data for long-term observations of acoustic travel time (tau); bottom pressure and currents along the SAMBA transect at PIES P3 (October 2019 - October 2021)

description: South Atlantic Meridional Overturning Circulation (SAMOC-SA)
description: Here we present raw bottom pressure and acoustic travel time data from a Pressure-equipped Inverted Echo Sounder (PIES) located at a depth of 3000m at location P3 (34.499°S; 17.135°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean, between 14 October 2019 and 02 October 2021. The instrument was equipped with an additional 2000 khz Aanderaa Doppler Current Sensor (DCS) deployed at a depth of 2950m. In addition, both the PIES and the DSC were equipped with internal temperature sensors. The South African component of the international South Atlantic Meridional Overturning Circulation project (SAMOC-SA) aims to characterise the time-mean and time-varying components of the SAMOC in the South Atlantic Ocean and monitor the variability of the main Southern Ocean frontal systems associated with the Antarctic Circumpolar Current (ACC), south of Africa.
description: A bottom-mounted, upward-looking, Pressure-equipped Inverted Echo Sounder (PIES) was deployed at a depth of 3000m at location P3 (34.499°S; 17.135°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean. The instrument was set up to measure acoustic travel time (Tau) at 4 pings every 10 minutes, which were then internally averaged to save and output one Tau value per hour. Bottom pressure was recorded every 20 minutes, and then internally averaged to save and output one pressure value per hour. Tau and bottom pressure were recorded between 14 October 2019 and 02 October 2021. The instrument was equipped with an additional 2000 khz Aanderaa Doppler Current Sensor (DCS) deployed at a depth of 2950m, and set up to measure hourly current speed and direction. In addition, both the PIES and the DCS were equipped with internal temperature sensors.
DOI: 10.15493/dea.mims.07782023
title: Long-term observations of daily acoustic travel time along the SAMBA transect at PIES Mooring P2 (September 2013 – July 2015)

description: South Atlantic Meridional Overturning Circulation (SAMOC-SA)
description: Here we present processed travel time from a Pressure-equipped Inverted Echo Sounder (PIES) located at a depth of 2129m at location P2 (34.497°S; 17.301°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean, between 6 September 2013 and 23 July 2015. TheSouth African component of the international South Atlantic Meridional Overturning Circulation project (SAMOC-SA) aims to characterise the time-mean and time-varying components of the SAMOC in the South Atlantic Ocean and monitor the variability of the main Southern Ocean frontal systems associated with the Antarctic Circumpolar Current (ACC), south of Africa.
description: A bottom-mounted, upward-looking, Pressure-equipped Inverted Echo Sounder was deployed at a depth of 2129m at location P2 (34.497°S; 17.301°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean. The instrument measured hourly bottom pressure and acoustic travel time (Tau), between 6 September 2013 and 23 July 2015. Measurements were de-tided, de-drifted, and de-spiked, using standard published University of Rhode Island (URI) software and protocols. A 72-hour 2nd order Butterworth filter was applied to hourly bottom pressure and acoustic travel time (Tau) observations. Tau values were then calibrated to a nominal pressure of 1000 db, and together with pressure observations, Tau was then subsampled to one value per day at noon (UTC). Bottom pressure anomalies have been computed relative to the record length average.
DOI: 10.25549/chinasociety-c32-975
title: China Society of Southern California. Correspondence, 1937

description: The China Society of Southern California has held meetings and events in Los Angeles since 1935, focusing on promoting an appreciation of Chinese culture. The collection consists of the Society’s foundation documents (constitution, by-laws), its Bulletin, meeting minutes, correspondence, financial records and various other records of their activities over the course of the last eighty years (1935-2015).The collection came to the University through connections made by Clayton Dube, Associate Director of USC’s U.S.-China Institute. Representatives of the China Society of Southern California, including its President (2014), Robert Lee, visited USC to discuss the donation of the material.See the finding aid (https://archives.usc.edu/repositories/6/resources/2808) for the China Society of Southern California records.
DOI: 10.15493/dea.mims.07792023
title: Long-term observations of daily acoustic travel time along the SAMBA transect at PIES Mooring P4 (September 2013 – August 2015)

description: South Atlantic Meridional Overturning Circulation (SAMOC-SA)
description: Here we present processed travel time from a Pressure-equipped Inverted Echo Sounder (PIES) located at a depth of 4482m at location P4 (34.504°S; 15.003°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean, between 7 September 2013 and 12 August 2015. The South African component of the international South Atlantic Meridional Overturning Circulation project (SAMOC-SA) aims to characterise the time-mean and time-varying components of the SAMOC in the South Atlantic Ocean and monitor the variability of the main Southern Ocean frontal systems associated with the Antarctic Circumpolar Current (ACC), south of Africa.
description: A bottom-mounted, upward-looking, Pressure-equipped Inverted Echo Sounder was deployed at a depth of 4482m at location P4 (34.504°S; 15.003°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean. The instrument measured hourly bottom pressure and acoustic travel time (Tau), between 7 September 2013 and 12 August 2015. Measurements were de-tided, de-drifted, and de-spiked, using standard published University of Rhode Island (URI) software and protocols. A 72-hour 2nd order Butterworth filter was applied to hourly bottom pressure and acoustic travel time (Tau) observations. Tau values were then calibrated to a nominal pressure of 1000 db, and together with pressure observations, Tau was then subsampled to one value per day at noon (UTC). Bottom pressure anomalies have been computed relative to the record length average.
DOI: 10.25549/chinasociety-c32-985
title: China Society of Southern California. Correspondence, 1938

description: The China Society of Southern California has held meetings and events in Los Angeles since 1935, focusing on promoting an appreciation of Chinese culture. The collection consists of the Society’s foundation documents (constitution, by-laws), its Bulletin, meeting minutes, correspondence, financial records and various other records of their activities over the course of the last eighty years (1935-2015).The collection came to the University through connections made by Clayton Dube, Associate Director of USC’s U.S.-China Institute. Representatives of the China Society of Southern California, including its President (2014), Robert Lee, visited USC to discuss the donation of the material.See the finding aid (https://archives.usc.edu/repositories/6/resources/2808) for the China Society of Southern California records.
DOI: 10.15493/dea.mims.07892023
title: Long-term observations of daily acoustic travel time along the SAMBA transect at PIES Mooring P6 (August 2015 – July 2017)

description: South Atlantic Meridional Overturning Circulation (SAMOC-SA)
description: Here we present processed travel time from a Pressure-equipped Inverted Echo Sounder (PIES) located at a depth of 5150m at location P6 (34.507°S; 07.450°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean, between 11 August 2015 and 20 July 2017. The South African component of the international South Atlantic Meridional Overturning Circulation project (SAMOC-SA) aims to characterise the time-mean and time-varying components of the SAMOC in the South Atlantic Ocean and monitor the variability of the main Southern Ocean frontal systems associated with the Antarctic Circumpolar Current (ACC), south of Africa.
description: A bottom-mounted, upward-looking, Pressure-equipped Inverted Echo Sounder was deployed at a depth of 5150m at location P6 (34.507°S; 07.450°E) along the South Atlantic MOC Basin-scale Array (SAMBA) transect in the Cape Basin region of the South Atlantic Ocean. The instrument measured hourly bottom pressure and acoustic travel time (Tau), between 11 August 2015 and 20 July 2017. Measurements were de-tided, de-drifted, and de-spiked, using standard published University of Rhode Island (URI) software and protocols. A 72-hour 2nd order Butterworth filter was applied to hourly bottom pressure and acoustic travel time (Tau) observations. Tau values were then calibrated to a nominal pressure of 1000 db, and together with pressure observations, Tau was then subsampled to one value per day at noon (UTC). Bottom pressure anomalies have been computed relative to the record length average.