Pith Number

pith:55ZQMQHG

pith:2017:55ZQMQHGWQOGIX6RVFYAUOPDZC

not attested not anchored not stored refs pending

Cut-off phenomenon for random walks on free orthogonal quantum groups

Amaury Freslon

arxiv:1711.06555 v2 · 2017-11-17 · math.PR · 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{55ZQMQHGWQOGIX6RVFYAUOPDZC}

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	2026-05-18T00:26:07.478395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef730640e6b41c645fd1a9700a39e3c89a0c74f27c83070ad1fe550fdf80e643

Aliases

arxiv: 1711.06555 · arxiv_version: 1711.06555v2 · doi: 10.48550/arxiv.1711.06555 · pith_short_12: 55ZQMQHGWQOG · pith_short_16: 55ZQMQHGWQOGIX6R · pith_short_8: 55ZQMQHG

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/55ZQMQHGWQOGIX6RVFYAUOPDZC \
  | 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: ef730640e6b41c645fd1a9700a39e3c89a0c74f27c83070ad1fe550fdf80e643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2c6d915283a0f2adaa6d37805e986b0ff054a32bdb85be8e0ef0a3588b9d310",
    "cross_cats_sorted": [
      "math.OA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-17T14:38:21Z",
    "title_canon_sha256": "f1fdf4d2ab5065fee92a834f4181b2409dacdae5d93d912eb8fbb0a2b2b6f473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06555",
    "kind": "arxiv",
    "version": 2
  }
}