Pith Number

pith:F6QLDY3G

pith:2001:F6QLDY3GDQF7ORHCQVHGKESWIK

not attested not anchored not stored refs pending

Pointed Hopf algebras of dimension 32

Matias Gra\~na

arxiv:math/0110033 v1 · 2001-10-02 · 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{F6QLDY3GDQF7ORHCQVHGKESWIK}

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	2026-07-04T14:35:32.738049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fa0b1e3661c0bf744e2854e65125642a61d857bc1fa4e7e6d08d78b56f18286

Aliases

arxiv: math/0110033 · arxiv_version: math/0110033v1 · doi: 10.48550/arxiv.math/0110033 · pith_short_12: F6QLDY3GDQF7 · pith_short_16: F6QLDY3GDQF7ORHC · pith_short_8: F6QLDY3G

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/F6QLDY3GDQF7ORHCQVHGKESWIK \
  | 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: 2fa0b1e3661c0bf744e2854e65125642a61d857bc1fa4e7e6d08d78b56f18286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4033c83ce7a69c0d8f19004a85696383bf282118c0dd0b9e3bb780fb389fb30",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-10-02T22:13:42Z",
    "title_canon_sha256": "969ebd6e50966c2389039e3f9f7a6773b80dc0be78a0e21968cd223ff2c46fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110033",
    "kind": "arxiv",
    "version": 1
  }
}