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Pith Number

pith:KPBNCZ2T

pith:2013:KPBNCZ2T7R5SYF2WKAWBCWO6XB
not attested not anchored not stored refs pending

Local thermodynamics and the generalized Gibbs-Duhem equation in systems with long-range interactions

Agust\'in P\'erez-Madrid, Ivan Latella

arxiv:1302.4903 v3 · 2013-02-20 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KPBNCZ2T7R5SYF2WKAWBCWO6XB}

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 2026-05-18T03:07:23.646545Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

53c2d16753fc7b2c1756502c1159deb87a4027799dba629afec9438d394c1a80

Aliases

arxiv: 1302.4903 · arxiv_version: 1302.4903v3 · doi: 10.48550/arxiv.1302.4903 · pith_short_12: KPBNCZ2T7R5S · pith_short_16: KPBNCZ2T7R5SYF2W · pith_short_8: KPBNCZ2T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KPBNCZ2T7R5SYF2WKAWBCWO6XB \
  | 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: 53c2d16753fc7b2c1756502c1159deb87a4027799dba629afec9438d394c1a80
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4022236f02cdd9fdfb64485aa388bd2eb28bc0d99cad72ff5d2de687fa0c3d30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-02-20T13:48:58Z",
    "title_canon_sha256": "fa1d29ded28b7bdfc30dc11cb374cc78465ed6b099a9b42bf3c40732ba03a2a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4903",
    "kind": "arxiv",
    "version": 3
  }
}