Pith Number

pith:AQORV24T

pith:2010:AQORV24TN4CLRETH4YC75AMYUJ

not attested not anchored not stored refs pending

On the coalescence time of reversible random walks

Roberto Imbuzeiro Oliveira

arxiv:1009.0664 v3 · 2010-09-03 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQORV24TN4CLRETH4YC75AMYUJ}

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	2026-05-18T04:33:06.953037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041d1aeb936f04b89267e605fe8198a2557b3d24c71ef5776456b33c67b3ab95

Aliases

arxiv: 1009.0664 · arxiv_version: 1009.0664v3 · doi: 10.48550/arxiv.1009.0664 · pith_short_12: AQORV24TN4CL · pith_short_16: AQORV24TN4CLRETH · pith_short_8: AQORV24T

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/AQORV24TN4CLRETH4YC75AMYUJ \
  | 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: 041d1aeb936f04b89267e605fe8198a2557b3d24c71ef5776456b33c67b3ab95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7531b6e21871df3bdbaf20b1c4063f8a132c3428445414e46be02bb4cafeb040",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-03T13:36:31Z",
    "title_canon_sha256": "491299416977c10fa21b5133b45ac908f22fdb7a5561db1ab3e347c8c15486fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0664",
    "kind": "arxiv",
    "version": 3
  }
}