Pith Number

pith:UFP6TM77

pith:1996:UFP6TM7722BPFLAA7G33WJ7RDZ

not attested not anchored not stored refs pending

Contractions, Hopf algebra extensions and cov. differential calculus

J.A. de Azcarraga, J.C. Perez Bueno

arxiv:q-alg/9602016 v1 · 1996-02-07 · q-alg · 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{UFP6TM7722BPFLAA7G33WJ7RDZ}

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	2026-05-18T01:00:20.966641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a15fe9b3ffd682f2ac00f9b7bb27f11e78afbf8c8290ac80598894612d485bd5

Aliases

arxiv: q-alg/9602016 · arxiv_version: q-alg/9602016v1 · doi: 10.48550/arxiv.q-alg/9602016 · pith_short_12: UFP6TM7722BP · pith_short_16: UFP6TM7722BPFLAA · pith_short_8: UFP6TM77

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/UFP6TM7722BPFLAA7G33WJ7RDZ \
  | 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: a15fe9b3ffd682f2ac00f9b7bb27f11e78afbf8c8290ac80598894612d485bd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0beb1b57795577624bb5de966dc1de847bc52f387f470bbc3b9eed28a3189a3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-02-07T16:04:06Z",
    "title_canon_sha256": "221dd1bfb44b371c81dc28723152179207681b7134237764ccd835491a91a1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9602016",
    "kind": "arxiv",
    "version": 1
  }
}