Pith Number

pith:UJCVC2YS

pith:2021:UJCVC2YSCORRYVRRBHQHQYHTQO

not attested not anchored not stored refs pending

Enumerating maximal consistent closed sets in closure systems

Lhouari Nourine, Simon Vilmin

arxiv:2102.04245 v1 · 2021-02-05 · cs.CC · cs.DM · 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{UJCVC2YSCORRYVRRBHQHQYHTQO}

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	2026-07-05T02:14:01.634893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a245516b1213a31c563109e07860f38388846351979f51c33bd1683c3d418067

Aliases

arxiv: 2102.04245 · arxiv_version: 2102.04245v1 · doi: 10.48550/arxiv.2102.04245 · pith_short_12: UJCVC2YSCORR · pith_short_16: UJCVC2YSCORRYVRR · pith_short_8: UJCVC2YS

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/UJCVC2YSCORRYVRRBHQHQYHTQO \
  | 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: a245516b1213a31c563109e07860f38388846351979f51c33bd1683c3d418067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98ab7ba75250db650f6332574af2b84032b54079ed977c5250bad4780c33096",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2021-02-05T11:30:23Z",
    "title_canon_sha256": "191ec887e7cf32871fb60c38bce78fe43de6995a26a8a67363b071cb9d40c0e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.04245",
    "kind": "arxiv",
    "version": 1
  }
}