Pith Number

pith:M6D5MQOZ

pith:2018:M6D5MQOZH7IBJM5FERZYSY2SQR

not attested not anchored not stored refs pending

A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids

Ilya Shapiro, Ivan Kobyzev

arxiv:1803.09194 v2 · 2018-03-25 · math.KT · math.CT · 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{M6D5MQOZH7IBJM5FERZYSY2SQR}

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	2026-05-18T00:04:59.141760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6787d641d93fd014b3a5247389635284553bc68ebd99edb50d604c0825bde9b1

Aliases

arxiv: 1803.09194 · arxiv_version: 1803.09194v2 · doi: 10.48550/arxiv.1803.09194 · pith_short_12: M6D5MQOZH7IB · pith_short_16: M6D5MQOZH7IBJM5F · pith_short_8: M6D5MQOZ

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/M6D5MQOZH7IBJM5FERZYSY2SQR \
  | 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: 6787d641d93fd014b3a5247389635284553bc68ebd99edb50d604c0825bde9b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51b12edb89c4627e47ffc560cdc690e3757fd59f0a8f802e3de613ca9988347",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-03-25T02:38:35Z",
    "title_canon_sha256": "dd135b9fdb29010b7ba52ee7ea56e21b66b5c19e81c1e5ad1145bec695a0cd0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09194",
    "kind": "arxiv",
    "version": 2
  }
}