Pith Number

pith:HQX7UARV

pith:2019:HQX7UARVM57SKLNLGYC4TZBEEC

not attested not anchored not stored refs pending

Hopf-Frobenius Algebras and a Simpler Drinfeld Double

Joseph Collins, Ross Duncan

arxiv:1905.00797 v3 · 2019-05-02 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQX7UARVM57SKLNLGYC4TZBEEC}

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.

Cited by

1 paper in Pith

A Larson-Sweedler Theorem for Hopf V-Categories

Receipt and verification

First computed	2026-07-05T00:59:33.293545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2ffa0235677f252dab3605c9e424208611db3f73d243d082c2d29e210de242

Aliases

arxiv: 1905.00797 · arxiv_version: 1905.00797v3 · doi: 10.48550/arxiv.1905.00797 · pith_short_12: HQX7UARVM57S · pith_short_16: HQX7UARVM57SKLNL · pith_short_8: HQX7UARV

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/HQX7UARVM57SKLNLGYC4TZBEEC \
  | 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: 3c2ffa0235677f252dab3605c9e424208611db3f73d243d082c2d29e210de242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c0dd980bcc7c74d151ea40442593c4d36333f20c948239d65d7d1768c592ec",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-05-02T15:02:31Z",
    "title_canon_sha256": "b52ff5a1b52d2f7d41e9c5eab5984901b4e1c6a1a743453b3890ac626ca50dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00797",
    "kind": "arxiv",
    "version": 3
  }
}