Pith Number

pith:4EE47P4J

pith:2002:4EE47P4JFPLWN7TI5Z4IRMFXXE

not attested not anchored not stored refs pending

Duals of pointed Hopf algebras

M. Beattie

arxiv:math/0202091 v4 · 2002-02-10 · math.QA · 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{4EE47P4JFPLWN7TI5Z4IRMFXXE}

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	2026-05-18T04:08:43.198071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e109cfbf892bd766fe68ee7888b0b7b93e0a98314a4f616cd413d9b35dfb1d5d

Aliases

arxiv: math/0202091 · arxiv_version: math/0202091v4 · doi: 10.48550/arxiv.math/0202091 · pith_short_12: 4EE47P4JFPLW · pith_short_16: 4EE47P4JFPLWN7TI · pith_short_8: 4EE47P4J

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/4EE47P4JFPLWN7TI5Z4IRMFXXE \
  | 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: e109cfbf892bd766fe68ee7888b0b7b93e0a98314a4f616cd413d9b35dfb1d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bfe970d8a75a1e3d6e2f78166468df90914d07b3bc4b93b35f3aa5cb2e5d965",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-02-10T23:31:13Z",
    "title_canon_sha256": "33034adc01f60f27b28225e03c618e70840c0446ed89a0c34bfd4fdf24b1041d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202091",
    "kind": "arxiv",
    "version": 4
  }
}