Pith Number

pith:M6PC4TDD

pith:2022:M6PC4TDDTPW2Q2VYQWGEMLEHU4

not attested not anchored not stored refs pending

Localization Schemes: A Framework for Proving Mixing Bounds for Markov Chains

Ronen Eldan, Yuansi Chen

arxiv:2203.04163 v2 · 2022-03-08 · math.PR · cs.DS · math-ph · math.MP · stat.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{M6PC4TDDTPW2Q2VYQWGEMLEHU4}

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.

Cited by

1 paper in Pith

A Mathematical Introduction to Diffusion Models

Receipt and verification

First computed	2026-07-05T04:29:12.640619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

679e2e4c639beda86ab8858c462c87a70c443aa22f9138a5019eb057f122cbad

Aliases

arxiv: 2203.04163 · arxiv_version: 2203.04163v2 · doi: 10.48550/arxiv.2203.04163 · pith_short_12: M6PC4TDDTPW2 · pith_short_16: M6PC4TDDTPW2Q2VY · pith_short_8: M6PC4TDD

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/M6PC4TDDTPW2Q2VYQWGEMLEHU4 \
  | 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: 679e2e4c639beda86ab8858c462c87a70c443aa22f9138a5019eb057f122cbad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f2f8d6b3163d47d6efc2c5a574f93559d76c754bbcebeb933c687261e6591f",
    "cross_cats_sorted": [
      "cs.DS",
      "math-ph",
      "math.MP",
      "stat.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-03-08T15:49:32Z",
    "title_canon_sha256": "5f28c0503ab451decd73fb556f5766335ecbbd42caeb93a010c8755b089e2a7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.04163",
    "kind": "arxiv",
    "version": 2
  }
}