Pith Number

pith:BRDR35G4

pith:2012:BRDR35G4T7MEJRKFR4QQBFMKTY

not attested not anchored not stored refs pending

Grothendieck-Teichmueller group and Poisson cohomologies

Johan Alm, Sergei Merkulov

arxiv:1203.5933 v1 · 2012-03-27 · 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{BRDR35G4T7MEJRKFR4QQBFMKTY}

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	2026-05-18T03:59:13.019512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c471df4dc9fd844c5458f2100958a9e274e200a0e54b9727c0340027e966cf5

Aliases

arxiv: 1203.5933 · arxiv_version: 1203.5933v1 · doi: 10.48550/arxiv.1203.5933 · pith_short_12: BRDR35G4T7ME · pith_short_16: BRDR35G4T7MEJRKF · pith_short_8: BRDR35G4

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/BRDR35G4T7MEJRKFR4QQBFMKTY \
  | 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: 0c471df4dc9fd844c5458f2100958a9e274e200a0e54b9727c0340027e966cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067165f77b1e6d0c9aa299efc23654e4cb1bdd2cc6747f1ff05964a66c1c178b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-03-27T11:15:11Z",
    "title_canon_sha256": "2f79455fccf75e1a6e8e21942f212e766520c48f4ac19f18956ce47ce2e3ce16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5933",
    "kind": "arxiv",
    "version": 1
  }
}