Pith Number

pith:5JKSW2IS

pith:2010:5JKSW2ISZIEC5SQGBAT4XXC2FQ

not attested not anchored not stored refs pending

Quantum automorphisms of twisted group algebras and free hypergeometric laws

Julien Bichon, Stephen Curran, Teodor Banica

arxiv:1002.3146 v2 · 2010-02-16 · 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{5JKSW2ISZIEC5SQGBAT4XXC2FQ}

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	2026-05-18T04:16:53.708887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea552b6912ca082eca060827cbdc5a2c10e651575ed9288645ff7c75aba7c59e

Aliases

arxiv: 1002.3146 · arxiv_version: 1002.3146v2 · doi: 10.48550/arxiv.1002.3146 · pith_short_12: 5JKSW2ISZIEC · pith_short_16: 5JKSW2ISZIEC5SQG · pith_short_8: 5JKSW2IS

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/5JKSW2ISZIEC5SQGBAT4XXC2FQ \
  | 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: ea552b6912ca082eca060827cbdc5a2c10e651575ed9288645ff7c75aba7c59e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3078030ff4254e95fe292f301828208cd9b0483a68e1c0f8acee5bbadea2cc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-02-16T20:42:47Z",
    "title_canon_sha256": "bd39f4a8b55757567adca5cb28e3eace25b5c4dfd674991dab687305c66cac0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3146",
    "kind": "arxiv",
    "version": 2
  }
}