Pith Number

pith:OZDTQKSN

pith:2009:OZDTQKSNQV45A7JJBMIRMZOG6X

not attested not anchored not stored refs pending

Hopf algebra deformations of binary polyhedral groups

Julien Bichon, Sonia Natale

arxiv:0907.1879 v2 · 2009-07-10 · 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{OZDTQKSNQV45A7JJBMIRMZOG6X}

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	2026-05-18T04:34:54.417687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7647382a4d8579d07d290b111665c6f5cdedc8d7cc0e56605ff67d6e616ed702

Aliases

arxiv: 0907.1879 · arxiv_version: 0907.1879v2 · doi: 10.48550/arxiv.0907.1879 · pith_short_12: OZDTQKSNQV45 · pith_short_16: OZDTQKSNQV45A7JJ · pith_short_8: OZDTQKSN

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/OZDTQKSNQV45A7JJBMIRMZOG6X \
  | 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: 7647382a4d8579d07d290b111665c6f5cdedc8d7cc0e56605ff67d6e616ed702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41ba35bb17dcca408b0f114b46e2197d02842cb77db56e4eefc006ef7930b3f1",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-07-10T18:05:41Z",
    "title_canon_sha256": "c81abe2723c0f7e02475095190382bb35108939491a670152aacd88fc027343d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1879",
    "kind": "arxiv",
    "version": 2
  }
}