Pith Number

pith:JADY6DKH

pith:2011:JADY6DKH2ANKD7UWR4RIJXCPLC

not attested not anchored not stored refs pending

Mixing times are hitting times of large sets

Perla Sousi, Yuval Peres

arxiv:1108.0133 v3 · 2011-07-31 · 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{JADY6DKH2ANKD7UWR4RIJXCPLC}

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	2026-05-18T03:27:01.908427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48078f0d47d01aa1fe968f2284dc4f588a359496a545a2b88a2f7387e7704b93

Aliases

arxiv: 1108.0133 · arxiv_version: 1108.0133v3 · doi: 10.48550/arxiv.1108.0133 · pith_short_12: JADY6DKH2ANK · pith_short_16: JADY6DKH2ANKD7UW · pith_short_8: JADY6DKH

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/JADY6DKH2ANKD7UWR4RIJXCPLC \
  | 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: 48078f0d47d01aa1fe968f2284dc4f588a359496a545a2b88a2f7387e7704b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc732b499412eb788e21bdf23ce51bffcee8b9dfbcecc7418089101250b0b35",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-31T04:56:25Z",
    "title_canon_sha256": "ba435534d55450e51eefad9f341ee161e77e158c26611e2582edc60286fa2f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0133",
    "kind": "arxiv",
    "version": 3
  }
}