Pith Number

pith:S5T7QHM2

pith:2017:S5T7QHM2J2QVPF4RIBJCAEN6XJ

not attested not anchored not stored refs pending

Gamma and Factorial in the Monthly

Jonathan M. Borwein, Robert M. Corless

arxiv:1703.05349 v1 · 2017-03-15 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5T7QHM2J2QVPF4RIBJCAEN6XJ}

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	2026-05-18T00:48:34.532749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9767f81d9a4ea157979140522011beba7a20921ffb222295ab5b84e71bbaaa94

Aliases

arxiv: 1703.05349 · arxiv_version: 1703.05349v1 · doi: 10.48550/arxiv.1703.05349 · pith_short_12: S5T7QHM2J2QV · pith_short_16: S5T7QHM2J2QVPF4R · pith_short_8: S5T7QHM2

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/S5T7QHM2J2QVPF4RIBJCAEN6XJ \
  | 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: 9767f81d9a4ea157979140522011beba7a20921ffb222295ab5b84e71bbaaa94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd62f4ddf40c1836fcb1ff42fcd4293c7ac65ebe558416b059a384e8dff881d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-03-15T18:52:31Z",
    "title_canon_sha256": "7ff7fd7e8b374ea9954671b3dd18930cc2c245b624c31ddfc5eb253bb010640e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05349",
    "kind": "arxiv",
    "version": 1
  }
}