Pith Number

pith:QH6Y2TAH

pith:2012:QH6Y2TAHPV6QMALRVAN4B7H2DC

not attested not anchored not stored refs pending

The odd origin of Gerstenhaber brackets, Batalin-Vilkovisky operators, and master equations

Benjamin C. Ward, J. Javier Zuniga, Ralph M. Kaufmann

arxiv:1208.5543 v3 · 2012-08-28 · math.AT · 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{QH6Y2TAHPV6QMALRVAN4B7H2DC}

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	2026-05-18T00:43:18.957744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81fd8d4c077d7d060171a81bc0fcfa18b69ddf63ad38119faf859acbeab71f72

Aliases

arxiv: 1208.5543 · arxiv_version: 1208.5543v3 · doi: 10.48550/arxiv.1208.5543 · pith_short_12: QH6Y2TAHPV6Q · pith_short_16: QH6Y2TAHPV6QMALR · pith_short_8: QH6Y2TAH

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/QH6Y2TAHPV6QMALRVAN4B7H2DC \
  | 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: 81fd8d4c077d7d060171a81bc0fcfa18b69ddf63ad38119faf859acbeab71f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1accda548634dbe23db59b1a5be5eed0231701a6723d5b75d4cf73ab3817c357",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-28T03:09:20Z",
    "title_canon_sha256": "7b0fd554c0e2593c653f3d79824a5697a136ead6a363e6cf549f7780952a3bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5543",
    "kind": "arxiv",
    "version": 3
  }
}