Pith Number

pith:BRS66XON

pith:2010:BRS66XONF7LPZUZBNDZTBCLQCH

not attested not anchored not stored refs pending

Quantum Symmetries and Strong Haagerup Inequalities

Michael Brannan

arxiv:1101.0033 v1 · 2010-12-30 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRS66XONF7LPZUZBNDZTBCLQCH}

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	2026-05-18T02:04:16.585399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c65ef5dcd2fd6fcd32168f330897011edf278806304269ed4f71c446ffe8b7b

Aliases

arxiv: 1101.0033 · arxiv_version: 1101.0033v1 · doi: 10.48550/arxiv.1101.0033 · pith_short_12: BRS66XONF7LP · pith_short_16: BRS66XONF7LPZUZB · pith_short_8: BRS66XON

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/BRS66XONF7LPZUZBNDZTBCLQCH \
  | 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: 0c65ef5dcd2fd6fcd32168f330897011edf278806304269ed4f71c446ffe8b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d320f74c2d916f24395a97e95063b8a421d727df01d34a4b037088dfcea44a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-30T02:56:24Z",
    "title_canon_sha256": "d9a0bfa9022b315e729ad7a00b65115622d66ba07158cb8deaf01823b848d8b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0033",
    "kind": "arxiv",
    "version": 1
  }
}