Pith Number

pith:QCCK6ZCJ

pith:2004:QCCK6ZCJPO4VBLRVIC2FTDDQIO

not attested not anchored not stored refs pending

Expressions for values of the gamma function

Raimundas Vidunas

arxiv:math/0403510 v1 · 2004-03-30 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCCK6ZCJPO4VBLRVIC2FTDDQIO}

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.

Receipt and verification

First computed	2026-05-18T03:11:24.523777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8084af64497bb950ae3540b4598c7043ba1b244e97ffc55159655b4f9a6583e8

Aliases

arxiv: math/0403510 · arxiv_version: math/0403510v1 · doi: 10.48550/arxiv.math/0403510 · pith_short_12: QCCK6ZCJPO4V · pith_short_16: QCCK6ZCJPO4VBLRV · pith_short_8: QCCK6ZCJ

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/QCCK6ZCJPO4VBLRVIC2FTDDQIO \
  | 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: 8084af64497bb950ae3540b4598c7043ba1b244e97ffc55159655b4f9a6583e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62720155325a88d1a8d706b18e3204cd27c06a0a8b21c253d87e87a9c3c4e7cf",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-03-30T07:53:25Z",
    "title_canon_sha256": "ea06a285b8a8ea9362fd773397f741c99342006bb72c93b916fb6056b6e7b4f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403510",
    "kind": "arxiv",
    "version": 1
  }
}