Pith Number

pith:EZKJWV72

pith:2012:EZKJWV72BS6CVFKJLOWJZSPMUI

not attested not anchored not stored refs pending

The second homology group of the homological Goldman Lie algebra

Kazuki Toda

arxiv:1207.3286 v2 · 2012-07-13 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZKJWV72BS6CVFKJLOWJZSPMUI}

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	2026-05-18T03:38:43.721160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26549b57fa0cbc2a95495bac9cc9eca205d95eec039953f3a4df3e788bb11692

Aliases

arxiv: 1207.3286 · arxiv_version: 1207.3286v2 · doi: 10.48550/arxiv.1207.3286 · pith_short_12: EZKJWV72BS6C · pith_short_16: EZKJWV72BS6CVFKJ · pith_short_8: EZKJWV72

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/EZKJWV72BS6CVFKJLOWJZSPMUI \
  | 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: 26549b57fa0cbc2a95495bac9cc9eca205d95eec039953f3a4df3e788bb11692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c836e2f24e8425ad047f5780f4eaa29578215a664ff7cbc1ff20e0511fba2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-13T16:00:27Z",
    "title_canon_sha256": "fb3ee285876a28114aad6952f18ab683023f27baee1d2bd8c0ab5cd68a2ec4a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3286",
    "kind": "arxiv",
    "version": 2
  }
}