Pith Number

pith:ZRCUW5OD

pith:2008:ZRCUW5ODSUX7UUTOTT2P4ADQY7

not attested not anchored not stored refs pending

Ergodic actions of compact quantum groups from solutions of the conjugate equations

Claudia Pinzari, John E. Roberts

arxiv:0808.3326 v3 · 2008-08-25 · 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{ZRCUW5ODSUX7UUTOTT2P4ADQY7}

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	2026-05-18T00:32:47.811569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc454b75c3952ffa526e9cf4fe0070c7f7b6fe3037ef018790aa68fbbff3876a

Aliases

arxiv: 0808.3326 · arxiv_version: 0808.3326v3 · doi: 10.48550/arxiv.0808.3326 · pith_short_12: ZRCUW5ODSUX7 · pith_short_16: ZRCUW5ODSUX7UUTO · pith_short_8: ZRCUW5OD

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/ZRCUW5ODSUX7UUTOTT2P4ADQY7 \
  | 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: cc454b75c3952ffa526e9cf4fe0070c7f7b6fe3037ef018790aa68fbbff3876a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e3cbc8a0f07ace9e2954125e45a6fa7830092866b1178ead1323558861c3f0",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-08-25T10:15:40Z",
    "title_canon_sha256": "858c6a034f687b747753e1504fd577167ccb7eb50c735ce43f95294e18976b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3326",
    "kind": "arxiv",
    "version": 3
  }
}