Pith Number

pith:CYOAXFEF

pith:2010:CYOAXFEF4NEM6MRIO3MU4DSEG4

not attested not anchored not stored refs pending

More accurate approximations for the Gamma function

Gerg\H{o} Nemes

arxiv:1003.6020 v3 · 2010-03-31 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYOAXFEF4NEM6MRIO3MU4DSEG4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Private Federated Learning for High-dimensional Time Series

Receipt and verification

First computed	2026-05-18T04:11:28.996465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161c0b9485e348cf322876d94e0e443732df19efc60a28566f93123668889d9c

Aliases

arxiv: 1003.6020 · arxiv_version: 1003.6020v3 · doi: 10.48550/arxiv.1003.6020 · pith_short_12: CYOAXFEF4NEM · pith_short_16: CYOAXFEF4NEM6MRI · pith_short_8: CYOAXFEF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CYOAXFEF4NEM6MRIO3MU4DSEG4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 161c0b9485e348cf322876d94e0e443732df19efc60a28566f93123668889d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c99a647a5c55b0beef238af1767bdf9985254269cb807f3c4324e1fc1e6c215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-31T11:12:34Z",
    "title_canon_sha256": "4d293b105f4105ef61d8d2a3cd8f73632b750f7ca9910ab05376b201755eba43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.6020",
    "kind": "arxiv",
    "version": 3
  }
}