Pith Number

pith:CRTVWOSA

pith:2009:CRTVWOSASMVRZ3M45OIWK4DQPQ

not attested not anchored not stored refs pending

On a non-Abelian Poincar\'e lemma

Theodore Voronov

arxiv:0905.0287 v3 · 2009-05-03 · math.DG · 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{CRTVWOSASMVRZ3M45OIWK4DQPQ}

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	2026-05-18T00:39:48.582047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14675b3a40932b1ced9ceb916570707c1ed084d838a2268f3eedb24466b786ac

Aliases

arxiv: 0905.0287 · arxiv_version: 0905.0287v3 · doi: 10.48550/arxiv.0905.0287 · pith_short_12: CRTVWOSASMVR · pith_short_16: CRTVWOSASMVRZ3M4 · pith_short_8: CRTVWOSA

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/CRTVWOSASMVRZ3M45OIWK4DQPQ \
  | 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: 14675b3a40932b1ced9ceb916570707c1ed084d838a2268f3eedb24466b786ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a151b8eaec44cce7e9aa9b6efea9806122580531e1d80aeeb07e634e9a589b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-05-03T22:08:57Z",
    "title_canon_sha256": "eef11012541c2ab2b6aa49a16c3c43ae70106701e1a3cd13e17b8b84e9df23ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0287",
    "kind": "arxiv",
    "version": 3
  }
}