Pith Number

pith:GSKGBZP5

pith:2010:GSKGBZP5M4X5TSJLINJCLJV2TT

not attested not anchored not stored refs pending

Microcanonical Entropy and Dynamical Measure of Temperature for Systems with Two First Integrals

Italy), Roberto Franzosi (C.N.I.S.M., University of Florence

arxiv:1004.5480 v3 · 2010-04-30 · cond-mat.stat-mech · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSKGBZP5M4X5TSJLINJCLJV2TT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:07:44.589183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

349460e5fd672fd9c92b435225a6ba9cf9f7944a10b4985a17a437e760e30417

Aliases

arxiv: 1004.5480 · arxiv_version: 1004.5480v3 · doi: 10.48550/arxiv.1004.5480 · pith_short_12: GSKGBZP5M4X5 · pith_short_16: GSKGBZP5M4X5TSJL · pith_short_8: GSKGBZP5

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/GSKGBZP5M4X5TSJLINJCLJV2TT \
  | 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: 349460e5fd672fd9c92b435225a6ba9cf9f7944a10b4985a17a437e760e30417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb429196c0d73fa4b7d9fabb6d0e77034251c826e55b829065f2a5f059c164ec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-04-30T09:22:59Z",
    "title_canon_sha256": "1480c8c7b7d5aa01881e34c0e9820aba6e73aec93ee8a012a31bc89dddec08ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5480",
    "kind": "arxiv",
    "version": 3
  }
}