Pith Number

pith:UJZZTZTZ

pith:2025:UJZZTZTZF6BOCDXK2HMW3Y2IHD

not attested not anchored not stored refs pending

Exact and variational identities for free energy differences in strongly coupled open systems

Christopher J. Stein, Mohammad Rahbar

arxiv:2511.10236 v3 · 2025-11-13 · cond-mat.stat-mech · physics.chem-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJZZTZTZF6BOCDXK2HMW3Y2IHD}

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	2026-06-19T16:11:16.370350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27399e6792f82e10eead1d96de34838d1a91627c52c97c6b9f9807b541f2ab6

Aliases

arxiv: 2511.10236 · arxiv_version: 2511.10236v3 · doi: 10.48550/arxiv.2511.10236 · pith_short_12: UJZZTZTZF6BO · pith_short_16: UJZZTZTZF6BOCDXK · pith_short_8: UJZZTZTZ

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/UJZZTZTZF6BOCDXK2HMW3Y2IHD \
  | 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: a27399e6792f82e10eead1d96de34838d1a91627c52c97c6b9f9807b541f2ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1573d43d30584d120f572ea50564fc78dc40a40ea0e2a40481a7b2f741504af",
    "cross_cats_sorted": [
      "physics.chem-ph",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-11-13T12:08:21Z",
    "title_canon_sha256": "585afcc16473a72820f127f07de45b2dd0c9363bcc945b87a27641d43d167837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.10236",
    "kind": "arxiv",
    "version": 3
  }
}