Pith Number

pith:KXXQTE5W

pith:2015:KXXQTE5WRMRS7Q37TR6FTK7VZP

not attested not anchored not stored refs pending

L\'evy Processes on Quantum Permutation Groups

Adam Skalski, Anna Kula, Uwe Franz

arxiv:1510.08321 v2 · 2015-10-28 · math.QA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXXQTE5WRMRS7Q37TR6FTK7VZP}

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	2026-05-18T01:03:44.307384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55ef0993b68b232fc37f9c7c59abf5cbf20718e20cd3b94ab31189fb0e0ebd59

Aliases

arxiv: 1510.08321 · arxiv_version: 1510.08321v2 · doi: 10.48550/arxiv.1510.08321 · pith_short_12: KXXQTE5WRMRS · pith_short_16: KXXQTE5WRMRS7Q37 · pith_short_8: KXXQTE5W

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/KXXQTE5WRMRS7Q37TR6FTK7VZP \
  | 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: 55ef0993b68b232fc37f9c7c59abf5cbf20718e20cd3b94ab31189fb0e0ebd59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3646b9c98b41c8b294d7dabf53028cddbb0265fd4b81da01cf1b764421a1d246",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-10-28T14:35:36Z",
    "title_canon_sha256": "bce60c96ca92626d43b5ed2e14d610c56c4af7da60bf61db1b76bd8f8290ef8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08321",
    "kind": "arxiv",
    "version": 2
  }
}