Pith. sign in
Pith Number

pith:SB56BVUL

pith:2019:SB56BVULFKVED75BEDKMZBTCG2
not attested not anchored not stored refs pending

Entropy in Themodynamics: from Foliation to Categorization

Rados{\l}aw A. Kycia

arxiv:1908.07583 v2 · 2019-08-20 · math-ph · cond-mat.stat-mech · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SB56BVULFKVED75BEDKMZBTCG2}

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 2026-07-05T00:18:09.838530Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

907be0d68b2aaa41ffa120d4cc8662368aa3b1d3e9137617a9a23b24a0f1a2d7

Aliases

arxiv: 1908.07583 · arxiv_version: 1908.07583v2 · doi: 10.48550/arxiv.1908.07583 · pith_short_12: SB56BVULFKVE · pith_short_16: SB56BVULFKVED75B · pith_short_8: SB56BVUL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SB56BVULFKVED75BEDKMZBTCG2 \
  | 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: 907be0d68b2aaa41ffa120d4cc8662368aa3b1d3e9137617a9a23b24a0f1a2d7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1f136e5eb0a4e5c93f39cbaf309dff6a104a75f3d73337f88d5f40dbcbc30c60",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-20T19:40:21Z",
    "title_canon_sha256": "bf9d40554c41f1fd62c5df80595a17be6cb579ec518a53817748c5dd0a59e854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07583",
    "kind": "arxiv",
    "version": 2
  }
}