Pith Number

pith:G3PRQBRO

pith:2011:G3PRQBROL7WMDLK2QYFUZUFKY6

not attested not anchored not stored refs pending

Dependencies in Formal Mathematics: Applications and Extraction for Coq and Mizar

Jesse Alama, Josef Urban, Lionel Mamane

arxiv:1109.3687 v2 · 2011-09-16 · cs.DL · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3PRQBROL7WMDLK2QYFUZUFKY6}

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	2026-05-18T02:21:36.613713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36df18062e5fecc1ad5a860b4cd0aac79580b3c9f81c5dad6777258dc513226e

Aliases

arxiv: 1109.3687 · arxiv_version: 1109.3687v2 · doi: 10.48550/arxiv.1109.3687 · pith_short_12: G3PRQBROL7WM · pith_short_16: G3PRQBROL7WMDLK2 · pith_short_8: G3PRQBRO

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/G3PRQBROL7WMDLK2QYFUZUFKY6 \
  | 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: 36df18062e5fecc1ad5a860b4cd0aac79580b3c9f81c5dad6777258dc513226e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82cc605df9846ad822f12e4cc739ac146449688a49abdac83c54e501bf481b5",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DL",
    "submitted_at": "2011-09-16T18:25:18Z",
    "title_canon_sha256": "68c0af99177c7a5d22c1990dc463e5a4c18e3a3d0881cf83e2efd406ddaf8f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3687",
    "kind": "arxiv",
    "version": 2
  }
}