Pith Number

pith:JDVCF6AJ

pith:2011:JDVCF6AJ37LXH2TUJ5F7WJEACY

not attested not anchored not stored refs pending

Mixing of the upper triangular matrix walk

Allan Sly, Yuval Peres

arxiv:1105.4402 v2 · 2011-05-23 · 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{JDVCF6AJ37LXH2TUJ5F7WJEACY}

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	2026-05-18T04:21:10.348076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ea22f809dfd773ea744f4bfb2480160f48aaa563a9576a44d571a6c1f1ecaf

Aliases

arxiv: 1105.4402 · arxiv_version: 1105.4402v2 · doi: 10.48550/arxiv.1105.4402 · pith_short_12: JDVCF6AJ37LX · pith_short_16: JDVCF6AJ37LXH2TU · pith_short_8: JDVCF6AJ

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/JDVCF6AJ37LXH2TUJ5F7WJEACY \
  | 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: 48ea22f809dfd773ea744f4bfb2480160f48aaa563a9576a44d571a6c1f1ecaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14409e5aed7f2c59ef2cd433cf08f27b61b3ceed0c3fdd8a66ab218870802af9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-23T04:59:09Z",
    "title_canon_sha256": "b2088a306e1934974aebcfc34075ab7bab1ec1a9991f218d22b39664aa812136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4402",
    "kind": "arxiv",
    "version": 2
  }
}