Pith Number

pith:BPV7UK3P

pith:2012:BPV7UK3PN4XJLNTBMAI26MNRSH

not attested not anchored not stored refs pending

Reduced operator algebras of trace-preserving quantum automorphism groups

Michael Brannan

arxiv:1202.5020 v3 · 2012-02-22 · math.OA · 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{BPV7UK3PN4XJLNTBMAI26MNRSH}

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	2026-05-18T02:39:17.389383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bebfa2b6f6f2e95b6616011af31b191d010d936c04958a1dd88c3e0fc44c8a7

Aliases

arxiv: 1202.5020 · arxiv_version: 1202.5020v3 · doi: 10.48550/arxiv.1202.5020 · pith_short_12: BPV7UK3PN4XJ · pith_short_16: BPV7UK3PN4XJLNTB · pith_short_8: BPV7UK3P

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/BPV7UK3PN4XJLNTBMAI26MNRSH \
  | 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: 0bebfa2b6f6f2e95b6616011af31b191d010d936c04958a1dd88c3e0fc44c8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "952c6b979937627469501d62c4d820b6a4414a8c7a8822aebe06ec17bdc3046e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-02-22T20:15:36Z",
    "title_canon_sha256": "49dbcb3830b8d642604402ef7c389aadf65aa941be5cad119b7acda86a75bc8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5020",
    "kind": "arxiv",
    "version": 3
  }
}