Question: During which time was Callixeinus alive for during 400 BCE?

Context paragraphs:
Socrates: Socrates ( ; Greek: Σωκράτης , "Sōkrátēs"; 470/469 – 399 BC) was a classical Greek (Athenian) philosopher credited as one of the founders of Western philosophy.  He is an enigmatic figure known chiefly through the accounts of classical writers, especially the writings of his students Plato and Xenophon and the plays of his contemporary Aristophanes.  Plato's dialogues are among the most comprehensive accounts of Socrates to survive from antiquity, though it is unclear the degree to which Socrates himself is "hidden behind his 'best disciple', Plato".

Painted Grey Ware culture: The Painted Grey Ware culture (PGW) is an Iron Age culture of the Gangetic plain and the Ghaggar-Hakra valley, lasting from roughly 1200 BCE to 600 BCE.  It is contemporary to, and a successor of the Black and red ware culture.  Characterized by a style of fine, grey pottery painted with geometric patterns in black, this culture is associated with village and town settlements (but without large cities like those of the Harappans), domesticated horses, ivory-working, and the advent of iron metallurgy.  But this point of view may change as fresh surveys by archaeologist Vinay Kumar Gupta suggest Mathura was the largest PGW site around 375 hectares in area.  Among the largest sites is also the recently excavated Ahichatra, with at least 40 hectares of area in PGW times along with evidence of early construction of the fortification which goes back to PGW levels.  Two periods of PGW were identified recently at Ahichhatra, the earliest from 1500 to 800 BCE, and the Late from 800 to 400 BCE.  Total number of PGW sites discovered so far is more than 1100.

Callixenus: Callixeinus (Greek: Καλλίξεινος ) was an Athenian politician who lived around 400 BCE, the time of Socrates.  After the Battle of Arginusae, Callixeinus argued that the generals who failed to rescue Athenian shipwreck victims should be tried together by the Assembly.  Euryptolemus brought a suit ("graphe paranomon") against Callixeinus claiming that the proposal was unlawful, but was forced to drop it in the face of public opinion.  At the trial, the remaining generals – two, Aristogenes and Protomachus, had already fled Athens rather than face trial – were found guilty, and sentenced to death.  A later rhetorical work by Aelius Aristides claims that Callixenus also proposed that the generals should not be buried, though this is certainly ahistorical.

Adranon: Adranon (present day Adrano) is ancient polis and archaeological site on the southwestern slopes of Mount Etna, near Simeto River, known for the "simetite" variety of amber" northwest of Catania.  The ancient city was founded by the ancient Greek ruler Dionysius I of Syracuse around 400 BCE upon a pre-Hellenic neolithic settlement, near a temple dedicated to the god Adranus, worshiped throughout Sicily.  Adranus was associated with volcanoes and equated eventually with Hephaestus.  The city was conquered by Timoleon at 343-342 BCE and subjugated to Rome in 263 BCE.  Romans declared it a "civitas stipendiaria" (city that had to pay tribute to Rome).

Rock Creek Archeological District: The Rock Creek Archeological District is a pair of archaeological sites near Maud, Colbert County, Alabama.  The sites contain remnants from the Archaic, Gulf Formational, Woodland, and Mississippian Periods.  One of the sites, ACt 44, shows evidence of two major habitations, a hunting camp from the Late Archaic period (4000–2000 BCE) and a Late Mississippian farm village (1400–1600 CE), although ceramics and arrowheads from other eras have also been recovered.  Most artifacts from the other site, ACt 45, date from the Gulf Formational period (1200–400 BCE).  The sites were discovered by National Park Service archaeologist A. Wayne Prokopetz in 1975, with major surveys being completed by Christopher E. Hamilton in 1977 and by Memphis State University researchers in 1980.  The district was listed on the National Register of Historic Places in 1990.

List of 4th-century BCE lunar eclipses: There were 229 lunar eclipse events between -399 and -300 (400 BCE to 301 BCE)

Gautama Buddha: Gautama Buddha (c. 563 BCE/480 BCE – c. 483 BCE/400 BCE), also known as Siddhārtha Gautama ] , Shakyamuni Buddha ] , or simply the Buddha, after the title of "Buddha", was an ascetic (śramaṇa) and sage, on whose teachings Buddhism was founded.  He is believed to have lived and taught mostly in the eastern part of ancient India sometime between the sixth and fourth centuries BCE.

Common Era: Common Era or Current Era (CE) is a year-numbering system (calendar era) for the Julian and Gregorian calendars that refers to the years since the start of this era, that is, the years beginning with AD 1.  The preceding era is referred to as before the Common or Current Era (BCE).  The Current Era notation system can be used as an alternative to the Dionysian era system, which distinguishes eras as AD ("anno Domini ", "[the] year of [the] Lord") and BC ("before Christ").  The two notation systems are numerically equivalent; thus "2017 CE" corresponds to "AD 2017 " and "400 BCE" corresponds to "400 BC".  The year-numbering system for the Gregorian calendar is the most widespread civil calendar system used in the world today.  For decades, it has been the global standard, recognized by international institutions such as the United Nations and the Universal Postal Union.

Meidias Painter: The Meidias Painter was an Athenian red-figure vase painter in Ancient Greece, active in the last quarter of the 5th century BCE (fl.  c. 420 to c. 400 BCE).  He is named after the potter whose signature is found on a large hydria of the Meidias Painter’s decoration (BM E 224), excavated from an Etruscan tomb.  Eduard Gerhard first identified this inscription in 1839, and it was he who determined the scene on the vase was the rape of the daughters of Leukippos where previously it was thought to be the race of Hippomenes and Atalanta.

Apellas: Apellas (Ancient Greek: Ἀπελλᾶς ) was a sculptor of ancient Greece who made, in bronze, statues of worshipping females ("ad orantes feminas".  He made the statue of Cynisca, who conquered in the chariot race at Olympia.  Cynisca was sister to Agesilaus II, king of Sparta, who died at the age of 84, in 362 BCE.  Therefore, the victory of Cynisca, and the time when Apellas flourished, may be placed about 400 BCE.  His name indicates his Doric origin.

Supporting paragraphs: Callixenus Socrates
Answer: Socrates