pith. sign in
Pith Number

pith:ZX7QXILL

pith:2008:ZX7QXILLZDM3I2Q6OAHECSJOGY
not attested not anchored not stored refs pending

Extremum complexity in the monodimensional ideal gas: the piecewise uniform density distribution approximation

Ricardo Lopez-Ruiz, Xavier Calbet

arxiv:0811.4749 v1 · 2008-11-28 · nlin.CD · cond-mat.stat-mech · physics.data-an

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZX7QXILLZDM3I2Q6OAHECSJOGY}

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 2026-05-18T02:15:12.655455Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cdff0ba16bc8d9b46a1e700e41492e363a8a16c1351cbff7b8b5f42543c94493

Aliases

arxiv: 0811.4749 · arxiv_version: 0811.4749v1 · doi: 10.48550/arxiv.0811.4749 · pith_short_12: ZX7QXILLZDM3 · pith_short_16: ZX7QXILLZDM3I2Q6 · pith_short_8: ZX7QXILL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZX7QXILLZDM3I2Q6OAHECSJOGY \
  | 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: cdff0ba16bc8d9b46a1e700e41492e363a8a16c1351cbff7b8b5f42543c94493
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2058d733cccee704189e74bce31ec01b2369defb62d8027cf3299a5f3eed6f13",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2008-11-28T16:59:55Z",
    "title_canon_sha256": "ad88425f9d7facafdcd751f16459044fb363867791440cf3103ccd3b15dee646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4749",
    "kind": "arxiv",
    "version": 1
  }
}