Pith Number

pith:QJJZZ2SB

pith:2025:QJJZZ2SBGJU7DWDCH4XEG2AWF4

not attested not anchored not stored refs pending

Stability and Thermodynamics of a Generalized Power-Law Dark Energy Model

A. R. Amani, E. Yusofi, M. A. Ramzanpour, S. Kazemi

arxiv:2507.03808 v1 · 2025-07-04 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJJZZ2SBGJU7DWDCH4XEG2AWF4}

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	2026-07-05T11:33:06.165432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82539cea413269f1d8623f2e4368162f124d121ede0e61d027bd343a34724d2e

Aliases

arxiv: 2507.03808 · arxiv_version: 2507.03808v1 · doi: 10.48550/arxiv.2507.03808 · pith_short_12: QJJZZ2SBGJU7 · pith_short_16: QJJZZ2SBGJU7DWDC · pith_short_8: QJJZZ2SB

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/QJJZZ2SBGJU7DWDCH4XEG2AWF4 \
  | 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: 82539cea413269f1d8623f2e4368162f124d121ede0e61d027bd343a34724d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64242247594282cf62260e94ba722c2c51ef5baf28d85141a2cc963a278aeb5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-04T21:00:02Z",
    "title_canon_sha256": "c75aa9c70b8daca4fd925aa5a0912412dce6f7cd8c1a72419850552f4412fb98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03808",
    "kind": "arxiv",
    "version": 1
  }
}