Pith Number

pith:BOC5QKP2

pith:2026:BOC5QKP2FKYKZ43ZW2VH3T22OQ

not attested not anchored not stored refs pending

Extended Thermodynamics and Throttling Process of Charged AdS Black Holes in ModMax-dRGT Massive Gravity with Sharma-Mittal Entropy

Dhruba Jyoti Gogoi, Hassan Hassanabadi, Himasri Pinapothu, Naba Jyoti Gogoi

arxiv:2606.26210 v1 · 2026-06-24 · 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{BOC5QKP2FKYKZ43ZW2VH3T22OQ}

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	2026-06-26T00:15:29.598005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b85d829fa2ab0acf379b6aa7dcf5a7417648fd1ac04073400c7eac3991ec914

Aliases

arxiv: 2606.26210 · arxiv_version: 2606.26210v1 · doi: 10.48550/arxiv.2606.26210 · pith_short_12: BOC5QKP2FKYK · pith_short_16: BOC5QKP2FKYKZ43Z · pith_short_8: BOC5QKP2

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/BOC5QKP2FKYKZ43ZW2VH3T22OQ \
  | 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: 0b85d829fa2ab0acf379b6aa7dcf5a7417648fd1ac04073400c7eac3991ec914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada9483865dae204d1a8dd43d1310a346b0e94bce101fa9b0490ce9d8c096110",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-24T17:32:09Z",
    "title_canon_sha256": "97f1dcd578a7216f955d98b68647f3845c1cf10fcd0c108cc8af216f9d971a6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26210",
    "kind": "arxiv",
    "version": 1
  }
}