Pith Number

pith:2YIIGKNY

pith:2012:2YIIGKNYSNDAIDU67UMGSSRWYE

not attested not anchored not stored refs pending

Kontsevich's graph complex, GRT, and the deformation complex of the sheaf of polyvector fields

Christopher L. Rogers, Thomas Willwacher, Vasily Dolgushev

arxiv:1211.4230 v5 · 2012-11-18 · math.KT · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YIIGKNYSNDAIDU67UMGSSRWYE}

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	2026-05-18T02:27:51.381022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6108329b89346040e9efd18694a36c11afb11342c21db72d15381efaf77372e

Aliases

arxiv: 1211.4230 · arxiv_version: 1211.4230v5 · doi: 10.48550/arxiv.1211.4230 · pith_short_12: 2YIIGKNYSNDA · pith_short_16: 2YIIGKNYSNDAIDU6 · pith_short_8: 2YIIGKNY

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/2YIIGKNYSNDAIDU67UMGSSRWYE \
  | 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: d6108329b89346040e9efd18694a36c11afb11342c21db72d15381efaf77372e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "849c9d9ccb8d535baf1889b086895a0887f42bc7a3791a61341321cecc1f2183",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-11-18T16:30:26Z",
    "title_canon_sha256": "e583e95d406c42c85e015298889df3559fa5f2159095fe8adc4a91af65b0ddbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4230",
    "kind": "arxiv",
    "version": 5
  }
}