Pith Number

pith:K6AT2OGE

pith:2012:K6AT2OGEGUYDZVS4VDEVZSQNLF

not attested not anchored not stored refs pending

Adjunctions for exceptions

Dominique Duval (LJK), Jean-Claude Reynaud (RC), Jean-Guillaume Dumas (LJK), Laurent Fousse (LJK)

arxiv:1207.1255 v2 · 2012-07-05 · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6AT2OGEGUYDZVS4VDEVZSQNLF}

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	2026-05-18T03:42:11.205697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57813d38c435303cd65ca8c95cca0d594d62aeeea401ddb2484b747110a14a52

Aliases

arxiv: 1207.1255 · arxiv_version: 1207.1255v2 · doi: 10.48550/arxiv.1207.1255 · pith_short_12: K6AT2OGEGUYD · pith_short_16: K6AT2OGEGUYDZVS4 · pith_short_8: K6AT2OGE

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/K6AT2OGEGUYDZVS4VDEVZSQNLF \
  | 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: 57813d38c435303cd65ca8c95cca0d594d62aeeea401ddb2484b747110a14a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0229a1809ad984136fce42168c2c3d1fba5dedd36e7bbae00a9c05ea138cb49b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-07-05T13:53:17Z",
    "title_canon_sha256": "81b65ca237f4bafce6c2a97fa7f192641794634d6a4c19558537d41649031a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1255",
    "kind": "arxiv",
    "version": 2
  }
}