Pith Number

pith:JES22GOP

pith:2007:JES22GOP5PI3IREVZ5SG2ATXX7

not attested not anchored not stored refs pending

Petri map for rank two bundles with canonical determinant

Montserrat Teixidor i Bigas

arxiv:0712.2367 v1 · 2007-12-14 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JES22GOP5PI3IREVZ5SG2ATXX7}

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	2026-05-18T03:02:45.066239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4925ad19cfebd1b44495cf646d0277bfcd5de05fd637a9b62c44552a86758cec

Aliases

arxiv: 0712.2367 · arxiv_version: 0712.2367v1 · doi: 10.48550/arxiv.0712.2367 · pith_short_12: JES22GOP5PI3 · pith_short_16: JES22GOP5PI3IREV · pith_short_8: JES22GOP

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/JES22GOP5PI3IREVZ5SG2ATXX7 \
  | 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: 4925ad19cfebd1b44495cf646d0277bfcd5de05fd637a9b62c44552a86758cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa23c141280a4d54b3f6fce70d770de5b545cc56d9116ae755493e8915608f2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-14T19:17:48Z",
    "title_canon_sha256": "9939bd4491269786c14e08db6ee6528f6f878150ec1d10f9785c73012a69858b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2367",
    "kind": "arxiv",
    "version": 1
  }
}