Pith Number

pith:RCTCNKCE

pith:2013:RCTCNKCEXDT2COPQPRI4FHO2NT

not attested not anchored not stored refs pending

Fluctuations of intensive quantities in statistical thermodynamics

Artur E. Ruuge

arxiv:1309.4439 v2 · 2013-09-17 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCTCNKCEXDT2COPQPRI4FHO2NT}

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	2026-05-18T03:07:22.647883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88a626a844b8e7a139f07c51c29dda6cfebf6057c1cda886c716b04bf09d01c7

Aliases

arxiv: 1309.4439 · arxiv_version: 1309.4439v2 · doi: 10.48550/arxiv.1309.4439 · pith_short_12: RCTCNKCEXDT2 · pith_short_16: RCTCNKCEXDT2COPQ · pith_short_8: RCTCNKCE

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/RCTCNKCEXDT2COPQPRI4FHO2NT \
  | 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: 88a626a844b8e7a139f07c51c29dda6cfebf6057c1cda886c716b04bf09d01c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05c6d011bed47781df2ebbfb303a7b8b091bd1bca102f7753df758ff4b377553",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-17T19:56:31Z",
    "title_canon_sha256": "2a5f7f328f677e1a739e02649a80722cf37848e0fae6b9a6cd348c748966fd74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4439",
    "kind": "arxiv",
    "version": 2
  }
}