Pith Number

pith:EK2CCFOQ

pith:2012:EK2CCFOQIHF5F7GIWKVIHSF5YZ

not attested not anchored not stored refs pending

Generators of the homological Goldman Lie algebra

Kazuki Toda, Nariya Kawazumi, Yusuke Kuno

arxiv:1207.4572 v1 · 2012-07-19 · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EK2CCFOQIHF5F7GIWKVIHSF5YZ}

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	2026-05-18T03:50:36.627713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b42115d041cbd2fcc8b2aa83c8bdc667cd78ef13952beaf4c85036f9a1754c

Aliases

arxiv: 1207.4572 · arxiv_version: 1207.4572v1 · doi: 10.48550/arxiv.1207.4572 · pith_short_12: EK2CCFOQIHF5 · pith_short_16: EK2CCFOQIHF5F7GI · pith_short_8: EK2CCFOQ

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/EK2CCFOQIHF5F7GIWKVIHSF5YZ \
  | 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: 22b42115d041cbd2fcc8b2aa83c8bdc667cd78ef13952beaf4c85036f9a1754c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8817f30053f73931525b125ca632f4995dd41a3869bf60377c6cb7f55699d5b1",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-19T07:28:47Z",
    "title_canon_sha256": "45b7b24fc61bd3a6767714537fb61d33df536665b793e4b6ad4ade361cfc3bb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4572",
    "kind": "arxiv",
    "version": 1
  }
}