Pith Number

pith:O673ARG7

pith:2001:O673ARG7DTWNNM7L3MCDTNSN4J

not attested not anchored not stored refs pending

Yang-Mills measure on compact surfaces

Thierry Levy

arxiv:math/0101239 v1 · 2001-01-29 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O673ARG7DTWNNM7L3MCDTNSN4J}

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	2026-07-04T14:35:03.026134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77bfb044df1cecd6b3ebdb0439b64de26b31694e80e2b185e11f7e82c4b37b67

Aliases

arxiv: math/0101239 · arxiv_version: math/0101239v1 · doi: 10.48550/arxiv.math/0101239 · pith_short_12: O673ARG7DTWN · pith_short_16: O673ARG7DTWNNM7L · pith_short_8: O673ARG7

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/O673ARG7DTWNNM7L3MCDTNSN4J \
  | 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: 77bfb044df1cecd6b3ebdb0439b64de26b31694e80e2b185e11f7e82c4b37b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a341128dbcb5c2b81de122351ae188f5c1434849bdda251d0658421f57f726",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-01-29T16:41:56Z",
    "title_canon_sha256": "9a9dd55e0947811141636e4c6e4a28a102136f4b2faea83bd556b9bb627ffb6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101239",
    "kind": "arxiv",
    "version": 1
  }
}