Pith Number

pith:27RS2BP5

pith:2016:27RS2BP5G2MDNSXADEPFDDKBGX

not attested not anchored not stored refs pending

H-theorem and Thermodynamics for generalized entropies that depend only on the probability

A. Gil-Villegas, J. Torres-Arenas, Octavio Obreg\'on

arxiv:1610.06596 v1 · 2016-10-20 · 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{27RS2BP5G2MDNSXADEPFDDKBGX}

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	2026-05-18T01:01:37.277722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e32d05fd369836cae0191e518d4135c2a7dd22ba7449f9e570371467f22d05

Aliases

arxiv: 1610.06596 · arxiv_version: 1610.06596v1 · doi: 10.48550/arxiv.1610.06596 · pith_short_12: 27RS2BP5G2MD · pith_short_16: 27RS2BP5G2MDNSXA · pith_short_8: 27RS2BP5

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/27RS2BP5G2MDNSXADEPFDDKBGX \
  | 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: d7e32d05fd369836cae0191e518d4135c2a7dd22ba7449f9e570371467f22d05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d48699cb3da32e2d1fec0845aeb03908bc9a8d88294fe115ef3a3ce9197133e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-10-20T20:23:33Z",
    "title_canon_sha256": "9c719122d239c768d0be84a64eb74dfe42cbc0e4dce1f12c3d229b05447f6b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06596",
    "kind": "arxiv",
    "version": 1
  }
}