Pith Number

pith:SG23G5KL

pith:2006:SG23G5KLHFQFCHEOAL4V7SAKV7

not attested not anchored not stored refs pending

Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe

Li-Ming Cao, Rong-Gen Cai

arxiv:gr-qc/0611071 v2 · 2006-11-14 · gr-qc · 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{SG23G5KLHFQFCHEOAL4V7SAKV7}

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

4 papers in Pith

Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

Observational constraints on Luciano-Saridakis entropic cosmology

Black hole chemistry: thermodynamics with Lambda

Subtleties in non-equilibrium horizon thermodynamics of modified gravity theories

Receipt and verification

First computed	2026-07-04T15:19:21.050362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b5b3754b3960511c8e02f95fc80aaff63843c2950cf97b60b0a8040dd585aa

Aliases

arxiv: gr-qc/0611071 · arxiv_version: gr-qc/0611071v2 · doi: 10.48550/arxiv.gr-qc/0611071 · pith_short_12: SG23G5KLHFQF · pith_short_16: SG23G5KLHFQFCHEO · pith_short_8: SG23G5KL

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/SG23G5KLHFQFCHEOAL4V7SAKV7 \
  | 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: 91b5b3754b3960511c8e02f95fc80aaff63843c2950cf97b60b0a8040dd585aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18c656b8f08241625bdf3ca743ec44e3d5803fafca0e61604bc2889c72b9ffa",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-11-14T04:06:21Z",
    "title_canon_sha256": "d7113a86f5fb420f0606f12cde21c5469109b4fe12ab8dcd72f443b763c76697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0611071",
    "kind": "arxiv",
    "version": 2
  }
}