Pith Number

pith:GJHFWLKG

pith:2007:GJHFWLKGYPLFEMQ4DB7EROFK6B

not attested not anchored not stored refs pending

The hyperoctahedral quantum group

Benoit Collins, Julien Bichon, Teodor Banica

arxiv:math/0701859 v2 · 2007-01-29 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJHFWLKGYPLFEMQ4DB7EROFK6B}

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	2026-05-17T23:52:34.609976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324e5b2d46c3d652321c187e48b8aaf0551d8092943266cb276a6c3d5ac627e2

Aliases

arxiv: math/0701859 · arxiv_version: math/0701859v2 · doi: 10.48550/arxiv.math/0701859 · pith_short_12: GJHFWLKGYPLF · pith_short_16: GJHFWLKGYPLFEMQ4 · pith_short_8: GJHFWLKG

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/GJHFWLKGYPLFEMQ4DB7EROFK6B \
  | 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: 324e5b2d46c3d652321c187e48b8aaf0551d8092943266cb276a6c3d5ac627e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4f48c62d8767795ceed1d674c4e62c8ac9077b8165dbfcc29cf4125faea5539",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-01-29T19:00:46Z",
    "title_canon_sha256": "40df3873b83891cf29c27fae7427144fabf90109efd456ee21e8fb87be64a1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701859",
    "kind": "arxiv",
    "version": 2
  }
}