Pith Number

pith:EDBX6VRU

pith:2025:EDBX6VRUUHQR5JFTZYLXGYFGSA

not attested not anchored not stored refs pending

Free energy dissipation and a decomposition of general jump diffusions on $\mathbb{R}^n$ without detailed balance

Qi Zhang, Shuyuan Fan

arxiv:2512.06839 v2 · 2025-12-07 · cond-mat.stat-mech · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDBX6VRUUHQR5JFTZYLXGYFGSA}

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	2026-07-03T01:17:15.377262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20c37f5634a1e11ea4b3ce177360a6903a9e76d21ab9d9739a5e87a07c480de9

Aliases

arxiv: 2512.06839 · arxiv_version: 2512.06839v2 · doi: 10.48550/arxiv.2512.06839 · pith_short_12: EDBX6VRUUHQR · pith_short_16: EDBX6VRUUHQR5JFT · pith_short_8: EDBX6VRU

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/EDBX6VRUUHQR5JFTZYLXGYFGSA \
  | 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: 20c37f5634a1e11ea4b3ce177360a6903a9e76d21ab9d9739a5e87a07c480de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bec36a3390ef7543911dd526ce4ac8ed7182627ebc1f21cc692237814420a8be",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-12-07T13:26:06Z",
    "title_canon_sha256": "f349394af454b98a760f4900e027fd167f3a07eeff61ec69705e04d1cd8ce02f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.06839",
    "kind": "arxiv",
    "version": 2
  }
}