Pith Number

pith:L3MJI2PZ

pith:2026:L3MJI2PZSDKNM55PQLBC2RDYSI

not attested not anchored not stored refs pending

Thermodynamic Geometry, Heat Engines, and Topology of Sharma--Mittal ModMax-dRGT Black Holes

Abdullah Guvendi, Dhruba Jyoti Gogoi, Farokhnaz Hosseinifar, Hassan Hassanabadi, Semra Gurtas Dogan

arxiv:2606.28468 v1 · 2026-06-26 · 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{L3MJI2PZSDKNM55PQLBC2RDYSI}

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	2026-06-30T00:15:15.119732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ed89469f990d4d677af82c22d4478923d90e553c2b73eae77c41b293f54ee45

Aliases

arxiv: 2606.28468 · arxiv_version: 2606.28468v1 · doi: 10.48550/arxiv.2606.28468 · pith_short_12: L3MJI2PZSDKN · pith_short_16: L3MJI2PZSDKNM55P · pith_short_8: L3MJI2PZ

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/L3MJI2PZSDKNM55PQLBC2RDYSI \
  | 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: 5ed89469f990d4d677af82c22d4478923d90e553c2b73eae77c41b293f54ee45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd5075ecbaee5fc9261c86996fbbf0b0c7baef4e7904414c1d2bf8803afb267",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-26T14:17:09Z",
    "title_canon_sha256": "e7d9f0c58ae792c1476de75dbe001cc933ea316e9a7bd545fd7928ab17344397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28468",
    "kind": "arxiv",
    "version": 1
  }
}