Pith Number

pith:YV2EDWX3

pith:2002:YV2EDWX3CTMRFGMGYEB4NAF4ID

not attested not anchored not stored refs pending

Mixing times of the biased card shuffling and the asymmetric exclusion process

Christopher Hoffman, Elchanan Mossel, Itai Benjamini, Noam Berger

arxiv:math/0207199 v2 · 2002-07-22 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YV2EDWX3CTMRFGMGYEB4NAF4ID}

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	2026-07-04T14:36:20.195323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c57441dafb14d9129986c103c680bc40f06362b51c5a7d5ede55eda40bfa98fc

Aliases

arxiv: math/0207199 · arxiv_version: math/0207199v2 · doi: 10.48550/arxiv.math/0207199 · pith_short_12: YV2EDWX3CTMR · pith_short_16: YV2EDWX3CTMRFGMG · pith_short_8: YV2EDWX3

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/YV2EDWX3CTMRFGMGYEB4NAF4ID \
  | 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: c57441dafb14d9129986c103c680bc40f06362b51c5a7d5ede55eda40bfa98fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fec014faa432f4d540fb231ded762a69eb96ad4c2906eb26542619b2b8e3ac5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-07-22T20:48:43Z",
    "title_canon_sha256": "fc349ed10fc8474fb59b55ed73a00a132e527c30b2a86a8839da1e2a531b345f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207199",
    "kind": "arxiv",
    "version": 2
  }
}