Pith Number

pith:663PJDLJ

pith:2012:663PJDLJ7UJFDPPVWFNDOCGUAB

not attested not anchored not stored refs pending

Log Terminal Singularities

Alberto Chiecchio, Stefano Urbinati

arxiv:1211.6235 v1 · 2012-11-27 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{663PJDLJ7UJFDPPVWFNDOCGUAB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:39:52.191473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7b6f48d69fd1251bdf5b15a3708d4005aae439ec042f17b8434b738b9ad6977

Aliases

arxiv: 1211.6235 · arxiv_version: 1211.6235v1 · doi: 10.48550/arxiv.1211.6235 · pith_short_12: 663PJDLJ7UJF · pith_short_16: 663PJDLJ7UJFDPPV · pith_short_8: 663PJDLJ

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/663PJDLJ7UJFDPPVWFNDOCGUAB \
  | 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: f7b6f48d69fd1251bdf5b15a3708d4005aae439ec042f17b8434b738b9ad6977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13dd7a8cab395e2e5c001231d195736f0f300c4fd67aa9c3b50fb0267de27778",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-27T08:30:05Z",
    "title_canon_sha256": "5879be9b7ad12e068b25fa3b6a78a8a8687f834b03e6039f1c99d1defd83f605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6235",
    "kind": "arxiv",
    "version": 1
  }
}