Pith Number

pith:TOVS2PF2

pith:2017:TOVS2PF24EJOJK7LHQIB4VNC4Q

not attested not anchored not stored refs pending

Panov's theorem for weak Hopf algebras

Alveri Sant'Ana, Christian Lomp, Ricardo Leite dos Santos

arxiv:1710.10540 v1 · 2017-10-29 · 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{TOVS2PF24EJOJK7LHQIB4VNC4Q}

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	2026-05-18T00:31:47.171145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bab2d3cbae112e4abeb3c101e55a2e41ba3ca903f542ace7bcbe7100fa54e0d

Aliases

arxiv: 1710.10540 · arxiv_version: 1710.10540v1 · doi: 10.48550/arxiv.1710.10540 · pith_short_12: TOVS2PF24EJO · pith_short_16: TOVS2PF24EJOJK7L · pith_short_8: TOVS2PF2

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/TOVS2PF24EJOJK7LHQIB4VNC4Q \
  | 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: 9bab2d3cbae112e4abeb3c101e55a2e41ba3ca903f542ace7bcbe7100fa54e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62cb6defdb40fda85794725fdedc898be52f5da8eb5bc44c1ca9026a4782941c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-10-29T00:35:39Z",
    "title_canon_sha256": "40c4da0f191a9a71ad04fb72fd862011186bed27ffb9de47757d6f3b83d694fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10540",
    "kind": "arxiv",
    "version": 1
  }
}