Pith Number

pith:BTRDVZGU

pith:2015:BTRDVZGULCFZJQCI4XQ2TKIK4T

not attested not anchored not stored refs pending

Classical thermodynamics from quasi-probabilities

A. Plastino, F. Pennini, M. C. Rocca

arxiv:1507.06960 v1 · 2015-07-24 · cond-mat.stat-mech · physics.class-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{BTRDVZGULCFZJQCI4XQ2TKIK4T}

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	2026-05-18T01:04:30.178163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ce23ae4d4588b94c048e5e1a9a90ae4ecb4fb26223cf4f603235d2db148f1be

Aliases

arxiv: 1507.06960 · arxiv_version: 1507.06960v1 · doi: 10.48550/arxiv.1507.06960 · pith_short_12: BTRDVZGULCFZ · pith_short_16: BTRDVZGULCFZJQCI · pith_short_8: BTRDVZGU

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/BTRDVZGULCFZJQCI4XQ2TKIK4T \
  | 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: 0ce23ae4d4588b94c048e5e1a9a90ae4ecb4fb26223cf4f603235d2db148f1be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a219bae79ccf30d3c5e10e38d59ccc284aebb3fcad9eff6e7ea5f190f3ba660d",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-07-24T19:00:55Z",
    "title_canon_sha256": "21619efa774c175ba4deb9dd7baa3eb06c9f419f6df63c874ed4bb6846f65f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06960",
    "kind": "arxiv",
    "version": 1
  }
}