Pith Number

pith:FCQMQUVA

pith:2011:FCQMQUVA4RUHGKLQUQJ35THPUG

not attested not anchored not stored refs pending

Ordered direct implicational basis of a finite closure system

J.B. Nation, Kira Adaricheva, Robert Rand

arxiv:1110.5805 v3 · 2011-10-26 · math.CO · cs.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCQMQUVA4RUHGKLQUQJ35THPUG}

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	2026-05-18T03:00:59.444752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a0c852a0e468732970a413beccefa1aeb76f20ddc6cf29033c21596461db93

Aliases

arxiv: 1110.5805 · arxiv_version: 1110.5805v3 · doi: 10.48550/arxiv.1110.5805 · pith_short_12: FCQMQUVA4RUH · pith_short_16: FCQMQUVA4RUHGKLQ · pith_short_8: FCQMQUVA

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/FCQMQUVA4RUHGKLQUQJ35THPUG \
  | 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: 28a0c852a0e468732970a413beccefa1aeb76f20ddc6cf29033c21596461db93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8621edc0b67f9ca95f4d1df0581a41cda0bb2d780d8c4d99a46f08430f29a48",
    "cross_cats_sorted": [
      "cs.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-26T14:47:29Z",
    "title_canon_sha256": "bea62ba8ff5c454ba215788df0100025acecd5f33c96c088f29d251419f27805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5805",
    "kind": "arxiv",
    "version": 3
  }
}