Pith Number

pith:XEA6PQ7D

pith:2014:XEA6PQ7DDUELNCFDPJFSGZGIDN

not attested not anchored not stored refs pending

Comments on "Exactification of Stirling's approximation for the logarithm of the gamma function"

R B Paris

arxiv:1406.1320 v2 · 2014-06-05 · 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{XEA6PQ7DDUELNCFDPJFSGZGIDN}

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	2026-05-18T02:50:22.429611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b901e7c3e31d08b688a37a4b2364c81b5f3a799458cd420cc5e581e838215be8

Aliases

arxiv: 1406.1320 · arxiv_version: 1406.1320v2 · doi: 10.48550/arxiv.1406.1320 · pith_short_12: XEA6PQ7DDUEL · pith_short_16: XEA6PQ7DDUELNCFD · pith_short_8: XEA6PQ7D

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/XEA6PQ7DDUELNCFDPJFSGZGIDN \
  | 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: b901e7c3e31d08b688a37a4b2364c81b5f3a799458cd420cc5e581e838215be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c123cb733666420f05aad9a0587c4a784896ad8f61d8ef74db5e80038ef716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-05T10:21:40Z",
    "title_canon_sha256": "9f140a3acfa6fe71ca83f24d15b297229be09b2d5a519f179a7cd9196323c441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1320",
    "kind": "arxiv",
    "version": 2
  }
}