Pith Number

pith:42XHKF7J

pith:2010:42XHKF7J7QS5W2X2HUISZR66JI

not attested not anchored not stored refs pending

Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation

A. Sheykhi, K. Karami, N. Sahraei, S. Ghaffari

arxiv:1009.3093 v2 · 2010-09-16 · 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{42XHKF7J7QS5W2X2HUISZR66JI}

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	2026-05-18T04:23:47.955035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ae7517e9fc25db6afa3d112cc7de4a256f14c25243adea9f7c29e10f01febb

Aliases

arxiv: 1009.3093 · arxiv_version: 1009.3093v2 · doi: 10.48550/arxiv.1009.3093 · pith_short_12: 42XHKF7J7QS5 · pith_short_16: 42XHKF7J7QS5W2X2 · pith_short_8: 42XHKF7J

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/42XHKF7J7QS5W2X2HUISZR66JI \
  | 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: e6ae7517e9fc25db6afa3d112cc7de4a256f14c25243adea9f7c29e10f01febb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19e91f5fcf7727f2daa24a6fa22d266fb3756da62573fee82b941fa94f552d43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-16T05:49:36Z",
    "title_canon_sha256": "440a961c454572335397a3e964c9742e00b026d5193a7166eaf018591e12f402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3093",
    "kind": "arxiv",
    "version": 2
  }
}