Pith Number

pith:YP77U22L

pith:2011:YP77U22LNBRGGJFZXBXILJT3OH

not attested not anchored not stored refs pending

Free Energy Changes, Fluctuations, and Path Probabilities

Carol G. Hoover, William G. Hoover

arxiv:1104.3928 v1 · 2011-04-20 · cond-mat.stat-mech · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YP77U22LNBRGGJFZXBXILJT3OH}

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	2026-05-18T04:23:47.409374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3fffa6b4b68626324b9b86e85a67b71fd325575c02d09a995c6a834af81d801

Aliases

arxiv: 1104.3928 · arxiv_version: 1104.3928v1 · doi: 10.48550/arxiv.1104.3928 · pith_short_12: YP77U22LNBRG · pith_short_16: YP77U22LNBRGGJFZ · pith_short_8: YP77U22L

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/YP77U22LNBRGGJFZXBXILJT3OH \
  | 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: c3fffa6b4b68626324b9b86e85a67b71fd325575c02d09a995c6a834af81d801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f694ec13c3cce8ae0d8026720e8f206097872c3fcde55ad12715f676902465",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-04-20T02:35:53Z",
    "title_canon_sha256": "54a665968e2a7b5e163c0b1fdca7205a4fa8c8bde442799f326b8c00a9f22c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3928",
    "kind": "arxiv",
    "version": 1
  }
}