Pith Number

pith:Z2CMEOE2

pith:2011:Z2CMEOE22WEL6R3VAXFUH7KNZB

not attested not anchored not stored refs pending

Generalized Second Law of Thermodynamics for FRW Cosmology with Power-Law Entropy Correction

Ibrar Hussain, Mubasher Jamil, Ratbay Myrzakulov, Surajit Chattopadhyay, Ujjal Debnath

arxiv:1111.3858 v3 · 2011-11-15 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2CMEOE22WEL6R3VAXFUH7KNZB}

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	2026-05-18T03:52:12.085440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce84c2389ad588bf477505cb43fd4dc8422dc162edb37398592a9299a4c8d7fd

Aliases

arxiv: 1111.3858 · arxiv_version: 1111.3858v3 · doi: 10.48550/arxiv.1111.3858 · pith_short_12: Z2CMEOE22WEL · pith_short_16: Z2CMEOE22WEL6R3V · pith_short_8: Z2CMEOE2

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/Z2CMEOE22WEL6R3VAXFUH7KNZB \
  | 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: ce84c2389ad588bf477505cb43fd4dc8422dc162edb37398592a9299a4c8d7fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89fdfd6fe0fa35f30b44e3e54baac8b1609cf95169e688f5187dc799dd17230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-15T08:26:58Z",
    "title_canon_sha256": "257b20c64403ccaaeb5ee89d16add56f359fb9b4f4c60a462452ab81163ee8fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3858",
    "kind": "arxiv",
    "version": 3
  }
}