Pith Number

pith:Q3KSC2PB

pith:2017:Q3KSC2PB2IOVELCGMNROXQ6OEE

not attested not anchored not stored refs pending

Random walks on Bratteli diagrams

Jean Renault

arxiv:1704.06990 v1 · 2017-04-23 · 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{Q3KSC2PB2IOVELCGMNROXQ6OEE}

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	2026-05-18T00:45:55.105788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d52169e1d21d522c466362ebc3ce21302e4c5390cd268a0576a1b04af17e24

Aliases

arxiv: 1704.06990 · arxiv_version: 1704.06990v1 · doi: 10.48550/arxiv.1704.06990 · pith_short_12: Q3KSC2PB2IOV · pith_short_16: Q3KSC2PB2IOVELCG · pith_short_8: Q3KSC2PB

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/Q3KSC2PB2IOVELCGMNROXQ6OEE \
  | 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: 86d52169e1d21d522c466362ebc3ce21302e4c5390cd268a0576a1b04af17e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f5a20bea03b82db880931c1f1222c112aa0a0291b20e05c069f9cf2fb629cb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-04-23T22:08:33Z",
    "title_canon_sha256": "a4c1fbc9eb49d6887dac72116c1c8f985056ed577e80e3cd42511728e402849e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06990",
    "kind": "arxiv",
    "version": 1
  }
}