Pith Number

pith:ATYZCMT7

pith:2025:ATYZCMT776CSVNSA6QSMELZ76N

not attested not anchored not stored refs pending

Thermodynamics of Einstein-Geometric Proca AdS compact objects

Ahmadjon Abdujabbarov, Asalkhon Alimova, Beyhan Puli\c{c}e, Elham Ghorani, Farruh Atamurotov

arxiv:2509.09389 v1 · 2025-09-11 · 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{ATYZCMT776CSVNSA6QSMELZ76N}

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	2026-07-05T12:09:35.294818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f191327fff852ab640f424c22f3ff37553d2046ffa324da6ba0e13243e624a

Aliases

arxiv: 2509.09389 · arxiv_version: 2509.09389v1 · doi: 10.48550/arxiv.2509.09389 · pith_short_12: ATYZCMT776CS · pith_short_16: ATYZCMT776CSVNSA · pith_short_8: ATYZCMT7

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/ATYZCMT776CSVNSA6QSMELZ76N \
  | 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: 04f191327fff852ab640f424c22f3ff37553d2046ffa324da6ba0e13243e624a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f7d99c20179cc4dd74425c1e184f3ada1c38bbe7a4b183f8d8562b842c1bdaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-11T12:14:20Z",
    "title_canon_sha256": "cad40764cf105204a18ee1b7786c9d0a1a1abb8dd772c12558ddd2f2b9eb68ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09389",
    "kind": "arxiv",
    "version": 1
  }
}