pith. sign in
Pith Number

pith:3I5OGS7Z

pith:2016:3I5OGS7ZMMZFR47F3333KTW5V5
not attested not anchored not stored refs pending

Convexity at finite temperature and non-extensive thermodynamics

Jean Alexandre

arxiv:1603.01540 v4 · 2016-03-04 · hep-th · cond-mat.stat-mech · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3I5OGS7ZMMZFR47F3333KTW5V5}

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 2026-05-18T01:08:18.256972Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

da3ae34bf9633258f3e5def7b54eddaf5ce654269f4622b6368ee10a67d9876a

Aliases

arxiv: 1603.01540 · arxiv_version: 1603.01540v4 · doi: 10.48550/arxiv.1603.01540 · pith_short_12: 3I5OGS7ZMMZF · pith_short_16: 3I5OGS7ZMMZFR47F · pith_short_8: 3I5OGS7Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3I5OGS7ZMMZFR47F3333KTW5V5 \
  | 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: da3ae34bf9633258f3e5def7b54eddaf5ce654269f4622b6368ee10a67d9876a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5c89a247f3a8114aeb6e756f4cc9d6fd597b45f73c3a3bb6c56af90653084f21",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-03-04T17:10:55Z",
    "title_canon_sha256": "64a166ae9d95c913b228dbed493e9d068f880ee02e0c32df5643ac81b61a06d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01540",
    "kind": "arxiv",
    "version": 4
  }
}