Pith Number

pith:GCGXUYHS

pith:2020:GCGXUYHSGLSFHI4GRO7QWL7KNB

not attested not anchored not stored refs pending

The generalized second law of thermodynamics with Barrow entropy

Emmanuel N. Saridakis, Spyros Basilakos

arxiv:2005.08258 v3 · 2020-05-17 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCGXUYHSGLSFHI4GRO7QWL7KNB}

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.

Cited by

1 paper in Pith

Slow-roll inflation in (dual) Kaniadakis cosmology

Receipt and verification

First computed	2026-07-05T03:14:32.090711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308d7a60f232e453a3868bbf0b2fea6854ee7d4c0b56ce70b4fc23ff5786c4fe

Aliases

arxiv: 2005.08258 · arxiv_version: 2005.08258v3 · doi: 10.48550/arxiv.2005.08258 · pith_short_12: GCGXUYHSGLSF · pith_short_16: GCGXUYHSGLSFHI4G · pith_short_8: GCGXUYHS

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/GCGXUYHSGLSFHI4GRO7QWL7KNB \
  | 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: 308d7a60f232e453a3868bbf0b2fea6854ee7d4c0b56ce70b4fc23ff5786c4fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef556ffb3f3b6f4efe23244d53f50524e11c9b39a65b6612d1b3b2a9d8afed1b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-05-17T14:17:20Z",
    "title_canon_sha256": "6e867f41a2ca13a1ce2189d93fe3512a18cee7fe17c994b0c7a9e59472f4a533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.08258",
    "kind": "arxiv",
    "version": 3
  }
}