Pith Number

pith:DNNHLNQH

pith:2013:DNNHLNQHRTTCJ3Y7VGEMLLJCTG

not attested not anchored not stored refs pending

The cup product on Hochschild cohomology via twisting cochains and applications to Koszul rings

Cris Negron

arxiv:1304.0527 v4 · 2013-04-02 · math.KT · math.QA · 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{DNNHLNQHRTTCJ3Y7VGEMLLJCTG}

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	2026-05-18T01:18:00.556367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b5a75b6078ce624ef1fa988c5ad2299b5413c57dd400b6611c1b251b8f7867a

Aliases

arxiv: 1304.0527 · arxiv_version: 1304.0527v4 · doi: 10.48550/arxiv.1304.0527 · pith_short_12: DNNHLNQHRTTC · pith_short_16: DNNHLNQHRTTCJ3Y7 · pith_short_8: DNNHLNQH

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/DNNHLNQHRTTCJ3Y7VGEMLLJCTG \
  | 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: 1b5a75b6078ce624ef1fa988c5ad2299b5413c57dd400b6611c1b251b8f7867a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ddf0abf2c830076b933faae658409d53472b809da830fcb21b0a631e507f264",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-04-02T04:26:05Z",
    "title_canon_sha256": "aa4c9ff5ff35962ab412a0d2ae000750a444438961a47c2ab27c8e8127195c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0527",
    "kind": "arxiv",
    "version": 4
  }
}