Pith Number

pith:ZLJ73ESQ

pith:2000:ZLJ73ESQFW75JRTCBGECDEJI4I

not attested not anchored not stored refs pending

Tamarkin's proof of Kontsevich formality theorem

Vladimir Hinich

arxiv:math/0003052 v1 · 2000-03-09 · math.QA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLJ73ESQFW75JRTCBGECDEJI4I}

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.

Cited by

1 paper in Pith

M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds

Receipt and verification

First computed	2026-07-04T14:34:24.607576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad3fd92502dbfd4c6620988219128e21cca27704da0636a2abddf2432941f9c

Aliases

arxiv: math/0003052 · arxiv_version: math/0003052v1 · doi: 10.48550/arxiv.math/0003052 · pith_short_12: ZLJ73ESQFW75 · pith_short_16: ZLJ73ESQFW75JRTC · pith_short_8: ZLJ73ESQ

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/ZLJ73ESQFW75JRTCBGECDEJI4I \
  | 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: cad3fd92502dbfd4c6620988219128e21cca27704da0636a2abddf2432941f9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b907c8a0063f9e72741631dc572b8360e6d1244d600659bedf361c7bbbd64a8",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-03-09T07:37:07Z",
    "title_canon_sha256": "27fb72c2f366ca9da99856da6bc30ad43459fd4e85a18f8bc3ffd0402b3dea95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003052",
    "kind": "arxiv",
    "version": 1
  }
}