Pith Number

pith:LUCO6J2R

pith:2010:LUCO6J2RBHZQXL4PPXFPWTFTLC

not attested not anchored not stored refs pending

Can one measure negative specific heat in the canonical statistical ensemble?

A. Turchi, D. Fanelli, F. Staniscia, G. De Ninno, P.H. Chavanis

arxiv:1003.0631 v1 · 2010-03-02 · 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{LUCO6J2RBHZQXL4PPXFPWTFTLC}

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	2026-05-18T02:08:47.484303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d04ef275109f30baf8f7dcafb4cb358a3423127eec5dc99311faadf5d1a62a4

Aliases

arxiv: 1003.0631 · arxiv_version: 1003.0631v1 · doi: 10.48550/arxiv.1003.0631 · pith_short_12: LUCO6J2RBHZQ · pith_short_16: LUCO6J2RBHZQXL4P · pith_short_8: LUCO6J2R

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/LUCO6J2RBHZQXL4PPXFPWTFTLC \
  | 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: 5d04ef275109f30baf8f7dcafb4cb358a3423127eec5dc99311faadf5d1a62a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4844662048e3144d0b91d83d4c169b5e0074e7d7c53b6fa871d4fd242a8a86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-03-02T17:00:02Z",
    "title_canon_sha256": "2efec1fd3db7fdc8391a2d422f40b53aa2431cb13b560cc618270454028fd800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0631",
    "kind": "arxiv",
    "version": 1
  }
}