Pith Number

pith:3JDHRU5X

pith:2019:3JDHRU5XJMEUAK2H5X2GH3GHQN

not attested not anchored not stored refs pending

The Batalin-Vilkovisky structure on the Tate-Hochschild cohomology ring of a group algebra

Guodong Zhou, Yuming Liu, Zhengfang Wang

arxiv:1901.03224 v1 · 2019-01-10 · math.GR · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JDHRU5XJMEUAK2H5X2GH3GHQN}

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	2026-05-17T23:56:34.996400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4678d3b74b09402b47edf463ecc7835ca55671035da7bb807dc3725cb19da1

Aliases

arxiv: 1901.03224 · arxiv_version: 1901.03224v1 · doi: 10.48550/arxiv.1901.03224 · pith_short_12: 3JDHRU5XJMEU · pith_short_16: 3JDHRU5XJMEUAK2H · pith_short_8: 3JDHRU5X

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/3JDHRU5XJMEUAK2H5X2GH3GHQN \
  | 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: da4678d3b74b09402b47edf463ecc7835ca55671035da7bb807dc3725cb19da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3c6d70c0087fbfb57e290cb257e14a14eb0dca49230256770b40786d273594",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-10T15:39:34Z",
    "title_canon_sha256": "0e86cea7333acca73ba15680cd34621bf030285507c1ec374f6798b468b09d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03224",
    "kind": "arxiv",
    "version": 1
  }
}