Pith Number

pith:MG3QHOLD

pith:2017:MG3QHOLDL7NGYWUF7VNWKWGV2Z

not attested not anchored not stored refs pending

Bialgebraic proof of the existence of cup-product in the cohomology of racks and quandles

Dominique Manchon, Marco Farinati, Simon Covez

arxiv:1707.01138 v1 · 2017-07-04 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MG3QHOLDL7NGYWUF7VNWKWGV2Z}

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	2026-05-18T00:40:53.595223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b703b9635fda6c5a85fd5b6558d5d64cffe0c4ec04b49d202bbd7444925a41

Aliases

arxiv: 1707.01138 · arxiv_version: 1707.01138v1 · doi: 10.48550/arxiv.1707.01138 · pith_short_12: MG3QHOLDL7NG · pith_short_16: MG3QHOLDL7NGYWUF · pith_short_8: MG3QHOLD

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/MG3QHOLDL7NGYWUF7VNWKWGV2Z \
  | 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: 61b703b9635fda6c5a85fd5b6558d5d64cffe0c4ec04b49d202bbd7444925a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea8ce3b907f240d13452da37115326750bc139ce66e79c118a929b7106d570d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-04T19:27:35Z",
    "title_canon_sha256": "e7bb6d9a6e992e0e1d6a446082e97541938898ac2b69c5d7d8d8aab45b07f535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01138",
    "kind": "arxiv",
    "version": 1
  }
}