Pith Number

pith:NCVASFWZ

pith:2008:NCVASFWZYGBSLUDCM3TLIXNSWX

not attested not anchored not stored refs pending

Finite-dimensional pointed Hopf algebras with alternating groups are trivial

F. Fantino, L. Vendramin, M. Gra\~na, N. Andruskiewitsch

arxiv:0812.4628 v7 · 2008-12-25 · 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{NCVASFWZYGBSLUDCM3TLIXNSWX}

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	2026-05-18T04:24:36.408132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68aa0916d9c18325d06266e6b45db2b5d8f2fe955e46e9d46c2feccc2cc83f2e

Aliases

arxiv: 0812.4628 · arxiv_version: 0812.4628v7 · doi: 10.48550/arxiv.0812.4628 · pith_short_12: NCVASFWZYGBS · pith_short_16: NCVASFWZYGBSLUDC · pith_short_8: NCVASFWZ

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/NCVASFWZYGBSLUDCM3TLIXNSWX \
  | 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: 68aa0916d9c18325d06266e6b45db2b5d8f2fe955e46e9d46c2feccc2cc83f2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f11c56779008978cbe7f68809b0713186f7a0a347ef9f8ad48cb3df9d983170",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-12-25T21:47:06Z",
    "title_canon_sha256": "a81712157f10fa953ae314c5da50c7b928dc0e024d6fd192639b49855524f310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4628",
    "kind": "arxiv",
    "version": 7
  }
}