Pith Number

pith:OO47C4BO

pith:2011:OO47C4BOGQAI27S6W2BRU4J6GQ

not attested not anchored not stored refs pending

Licensing the Mizar Mathematical Library

Adam Naumowicz, Jesse Alama, Josef Urban, Lionel Mamane, Michael Kohlhase, Piotr Rudnicki

arxiv:1107.3212 v1 · 2011-07-16 · cs.DL · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OO47C4BOGQAI27S6W2BRU4J6GQ}

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	2026-05-18T04:16:53.188546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b9f1702e34008d7e5eb6831a713e340dcac3631103d81143360c6fb1471268

Aliases

arxiv: 1107.3212 · arxiv_version: 1107.3212v1 · doi: 10.48550/arxiv.1107.3212 · pith_short_12: OO47C4BOGQAI · pith_short_16: OO47C4BOGQAI27S6 · pith_short_8: OO47C4BO

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/OO47C4BOGQAI27S6W2BRU4J6GQ \
  | 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: 73b9f1702e34008d7e5eb6831a713e340dcac3631103d81143360c6fb1471268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35abe395772f3b68dd55a9227cd8c4623edba55e027352580f00ac07b4ff09f8",
    "cross_cats_sorted": [
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DL",
    "submitted_at": "2011-07-16T09:06:49Z",
    "title_canon_sha256": "08b3aa5b85db49d6bb3f26daf2f78cb9dfbdf3ac3ee21966fff5c71f0b501b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3212",
    "kind": "arxiv",
    "version": 1
  }
}