Pith Number

pith:EIPTQ2CK

pith:2011:EIPTQ2CKLPRLJGPHKDE4PLWYVV

not attested not anchored not stored refs pending

Another proof of the $n!$ conjecture

Geir Ellingsrud, Stein Arild Str{\o}mme

arxiv:1108.4403 v2 · 2011-08-22 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIPTQ2CKLPRLJGPHKDE4PLWYVV}

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	2026-05-18T04:13:05.231395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221f38684a5be2b499e750c9c7aed8ad6c224c61501ee84511f348d5190bcc03

Aliases

arxiv: 1108.4403 · arxiv_version: 1108.4403v2 · doi: 10.48550/arxiv.1108.4403 · pith_short_12: EIPTQ2CKLPRL · pith_short_16: EIPTQ2CKLPRLJGPH · pith_short_8: EIPTQ2CK

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/EIPTQ2CKLPRLJGPHKDE4PLWYVV \
  | 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: 221f38684a5be2b499e750c9c7aed8ad6c224c61501ee84511f348d5190bcc03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "848cc0030bd3558150ec8d9dd765520d819489a5aa7b1758416eb6fb5715acdb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-22T19:32:53Z",
    "title_canon_sha256": "5a23417eea99cf668513ee7442eae83d1c413d1b3cf90484a61109ff14b65cd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4403",
    "kind": "arxiv",
    "version": 2
  }
}