Pith Number

pith:GVZUBGL5

pith:2022:GVZUBGL5B6VTDCOJLSCGSW24R3

not attested not anchored not stored refs pending

Geometric thermodynamics for the Fokker-Planck equation: Stochastic thermodynamic links between information geometry and optimal transport

Sosuke Ito

arxiv:2209.00527 v9 · 2022-09-01 · cond-mat.stat-mech · 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{GVZUBGL5B6VTDCOJLSCGSW24R3}

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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

2 papers in Pith

A Transport-Based Geometry of Belief-Cost

Receipt and verification

First computed	2026-07-05T07:23:22.340536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

357340997d0fab3189c95c84695b5c8eeef715d742c7184454afa67abceae710

Aliases

arxiv: 2209.00527 · arxiv_version: 2209.00527v9 · doi: 10.48550/arxiv.2209.00527 · pith_short_12: GVZUBGL5B6VT · pith_short_16: GVZUBGL5B6VTDCOJ · pith_short_8: GVZUBGL5

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/GVZUBGL5B6VTDCOJLSCGSW24R3 \
  | 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: 357340997d0fab3189c95c84695b5c8eeef715d742c7184454afa67abceae710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd14ee8ac990c53ce79384ed0cf4d717b4210659cfafdf2e76840b0c895b185",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2022-09-01T15:21:37Z",
    "title_canon_sha256": "0027b9ef76a885dd5f1ba5ed159366f7274d6b0d86dd45db3f5486151724a066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00527",
    "kind": "arxiv",
    "version": 9
  }
}