Pith Number

pith:5DYJMOXA

pith:2010:5DYJMOXAGVELKYKKOZF2HIVFYH

not attested not anchored not stored refs pending

Kinetic Path Summation, Multi--Sheeted Extension of Master Equation, and Evaluation of Ergodicity Coefficient

A.N. Gorban

arxiv:1006.4128 v2 · 2010-06-21 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DYJMOXAGVELKYKKOZF2HIVFYH}

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	2026-05-18T04:30:12.475389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f0963ae03548b5614a764ba3a2a5c1ec28b4f914ad41e8aefa76503739167f

Aliases

arxiv: 1006.4128 · arxiv_version: 1006.4128v2 · doi: 10.48550/arxiv.1006.4128 · pith_short_12: 5DYJMOXAGVEL · pith_short_16: 5DYJMOXAGVELKYKK · pith_short_8: 5DYJMOXA

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/5DYJMOXAGVELKYKKOZF2HIVFYH \
  | 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: e8f0963ae03548b5614a764ba3a2a5c1ec28b4f914ad41e8aefa76503739167f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70b130bca872777b333a54a5dcde5c629f2f9a358b301f230cb3e5ff31466814",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2010-06-21T17:27:17Z",
    "title_canon_sha256": "a3434c7bcbc80bc71434fe62a71844ebc63bdd33e792849e5d3a2b6a13d99859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4128",
    "kind": "arxiv",
    "version": 2
  }
}