Pith Number

pith:5COYERRJ

pith:2004:5COYERRJSRLZXEG57SECVHOYWJ

not attested not anchored not stored refs pending

Solving the Master Equation for Extremely Long Time Scale Calculations

(2) Department of Electrical, Computer Engineering, Hwee Kuan Lee (1), Japan, M. B. A. Jalil (2) ((1) Department of Physics, National University of Singapore, Singapore), Tokyo Metropolitan University, X. Cheng (2), Yutaka Okabe (1)

arxiv:cond-mat/0412151 v1 · 2004-12-07 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5COYERRJSRLZXEG57SECVHOYWJ}

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	2026-07-04T16:47:32.748286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e89d82462994579b90ddfc882a9dd8b251ad498574bb5a54b2b257d0ad6397f7

Aliases

arxiv: cond-mat/0412151 · arxiv_version: cond-mat/0412151v1 · doi: 10.48550/arxiv.cond-mat/0412151 · pith_short_12: 5COYERRJSRLZ · pith_short_16: 5COYERRJSRLZXEG5 · pith_short_8: 5COYERRJ

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/5COYERRJSRLZXEG57SECVHOYWJ \
  | 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: e89d82462994579b90ddfc882a9dd8b251ad498574bb5a54b2b257d0ad6397f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc60f32ccb2e3ff800b769035d7cbfc94f77a9447f2cd5ce5f8c60cc1a1cdede",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-12-07T06:55:03Z",
    "title_canon_sha256": "254271792bc70620720d58591b9fb4c2869ef06463e56b58f8a76a1e02288525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0412151",
    "kind": "arxiv",
    "version": 1
  }
}