Pith Number

pith:ZOCWO7FR

pith:2003:ZOCWO7FRUM7YWPWRHWRF6MRAR5

not attested not anchored not stored refs pending

The concavity of entropy and extremum principles in thermodynamics

P. V. Giaquinta, S. Prestipino

arxiv:cond-mat/0306728 v1 · 2003-06-30 · 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{ZOCWO7FRUM7YWPWRHWRF6MRAR5}

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	2026-05-18T04:10:24.142604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb85677cb1a33f8b3ed13da25f32208f5e71bf4ae077c2f0ab3aa51493d1ac88

Aliases

arxiv: cond-mat/0306728 · arxiv_version: cond-mat/0306728v1 · doi: 10.48550/arxiv.cond-mat/0306728 · pith_short_12: ZOCWO7FRUM7Y · pith_short_16: ZOCWO7FRUM7YWPWR · pith_short_8: ZOCWO7FR

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/ZOCWO7FRUM7YWPWRHWRF6MRAR5 \
  | 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: cb85677cb1a33f8b3ed13da25f32208f5e71bf4ae077c2f0ab3aa51493d1ac88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb651317b11b76a037d2541fd5757bbd817e10606bc332c65d91ec3abe82759e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2003-06-30T07:56:29Z",
    "title_canon_sha256": "b28f6598bc5fd2d0d5830ddd114feacec2093e374d85ee38c557cea77e80460c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0306728",
    "kind": "arxiv",
    "version": 1
  }
}