Pith Number

pith:Q2NVHYEI

pith:2012:Q2NVHYEINGD77YVN3KMPFEQRS7

not attested not anchored not stored refs pending

Nonequilibrium Thermodynamics. Symmetric and Unique Formulation of the First Law, Statistical Definition of Heat and Work, Adiabatic Theorem and the Fate of the Clausius Inequality: A Microscopic View

P. D. Gujrati

arxiv:1206.0702 v1 · 2012-06-04 · physics.chem-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2NVHYEINGD77YVN3KMPFEQRS7}

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	2026-05-18T03:54:16.962891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869b53e0886987ffe2adda98f2921197cfaf7c014d1c0adb4c7b97918082eab1

Aliases

arxiv: 1206.0702 · arxiv_version: 1206.0702v1 · doi: 10.48550/arxiv.1206.0702 · pith_short_12: Q2NVHYEINGD7 · pith_short_16: Q2NVHYEINGD77YVN · pith_short_8: Q2NVHYEI

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/Q2NVHYEINGD77YVN3KMPFEQRS7 \
  | 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: 869b53e0886987ffe2adda98f2921197cfaf7c014d1c0adb4c7b97918082eab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f96ec25898f8f5ebdb0ac4a9d4ae427153e2469654782e831c308b439372456f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2012-06-04T19:05:47Z",
    "title_canon_sha256": "e8b466c7ea4142ee9f3d16325d2d9296207f9f1360d25fe136c2f89727b2b998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0702",
    "kind": "arxiv",
    "version": 1
  }
}