Pith Number

pith:J45TQSIG

pith:2026:J45TQSIGKJCEXYYTZQCKDWAHL7

not attested not anchored not stored refs pending

Unsupervised Thermodynamics of Molecular Diffusion Models: Action-Operator Semantics and Auditable Free-Energy Readout

Wenjie Xi

arxiv:2606.30687 v1 · 2026-06-28 · physics.chem-ph · cond-mat.stat-mech · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J45TQSIGKJCEXYYTZQCKDWAHL7}

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	2026-07-01T00:17:13.565443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3b38490652444be313cc04a1d8075fd6ba449de74f0eb0b9a766701ead3ba5

Aliases

arxiv: 2606.30687 · arxiv_version: 2606.30687v1 · doi: 10.48550/arxiv.2606.30687 · pith_short_12: J45TQSIGKJCE · pith_short_16: J45TQSIGKJCEXYYT · pith_short_8: J45TQSIG

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/J45TQSIGKJCEXYYTZQCKDWAHL7 \
  | 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: 4f3b38490652444be313cc04a1d8075fd6ba449de74f0eb0b9a766701ead3ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdf2f336d11a11923434c81e5a9a7edff13e28e27a04f607e99e635296173730",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-06-28T14:45:31Z",
    "title_canon_sha256": "e04162b0b0e7ec8292a72186780ffaa11ddd4e4a609fe3d20e6ba934ecc90e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30687",
    "kind": "arxiv",
    "version": 1
  }
}