Pith Number

pith:HH3LYJ4L

pith:2015:HH3LYJ4LSXVO7XH653AHQBTJYX

not attested not anchored not stored refs pending

Quantum Thermodynamics, Entropy of the Universe, Free Energy, and the Second Law

George L. Barnes, Michael E. Kellman, Phillip C. Lotshaw

arxiv:1511.06176 v3 · 2015-11-19 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HH3LYJ4LSXVO7XH653AHQBTJYX}

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	2026-05-18T00:02:28.475882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f6bc278b95eaefdcfeeec0780669c5d36b709bf45c6a9eb771076cc1fa952b

Aliases

arxiv: 1511.06176 · arxiv_version: 1511.06176v3 · doi: 10.48550/arxiv.1511.06176 · pith_short_12: HH3LYJ4LSXVO · pith_short_16: HH3LYJ4LSXVO7XH6 · pith_short_8: HH3LYJ4L

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/HH3LYJ4LSXVO7XH653AHQBTJYX \
  | 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: 39f6bc278b95eaefdcfeeec0780669c5d36b709bf45c6a9eb771076cc1fa952b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a25aa7bc47787fbe65ff9ca7ec5f74f734f5d294c3f5bf3bb8a0c42601edf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-19T14:15:34Z",
    "title_canon_sha256": "890679c1cb6f8f914abd682d6843ecaef23946588230bb2ff5bd871a2a9dd01c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06176",
    "kind": "arxiv",
    "version": 3
  }
}