Pith Number

pith:WXCXKB33

pith:2014:WXCXKB333PU4ZK54HZL2AHF2IL

not attested not anchored not stored refs pending

The Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra

Alexander Zimmermann, Guodong Zhou, Thierry Lambre

arxiv:1405.5325 v2 · 2014-05-21 · math.KT · 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{WXCXKB333PU4ZK54HZL2AHF2IL}

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	2026-05-18T02:50:30.938626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c575077bdbe9ccabbc3e57a01cba42c5c0436a1eefde4727f271c24ddbd579

Aliases

arxiv: 1405.5325 · arxiv_version: 1405.5325v2 · doi: 10.48550/arxiv.1405.5325 · pith_short_12: WXCXKB333PU4 · pith_short_16: WXCXKB333PU4ZK54 · pith_short_8: WXCXKB33

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/WXCXKB333PU4ZK54HZL2AHF2IL \
  | 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: b5c575077bdbe9ccabbc3e57a01cba42c5c0436a1eefde4727f271c24ddbd579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd9d6bf9ca552d3df517b9e875fceaea24c3fddcc80d5b168230acb6b9bffc0",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-05-21T08:09:01Z",
    "title_canon_sha256": "f7b464c9db87f34c80e1a38bea536eda6d23c1f8a2b74242b7a8fb4a96c4234f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5325",
    "kind": "arxiv",
    "version": 2
  }
}