Pith Number

pith:SBK6DOSI

pith:2025:SBK6DOSIEHKAOK3JBSBA6JQCWA

not attested not anchored not stored refs pending

Thermodynamics and Heat Engine Behavior of Phantom BTZ Black Holes in Noncommutative Geometry

B. C. L\"utf\"uo\u{g}lu, B. Hamil

arxiv:2503.03725 v2 · 2025-03-05 · 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{SBK6DOSIEHKAOK3JBSBA6JQCWA}

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	2026-07-30T01:18:47.945056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

9055e1ba4821d4072b690c820f2602b004a91ec599bc24eeac56e540c98ad096

Aliases

arxiv: 2503.03725 · arxiv_version: 2503.03725v2 · doi: 10.48550/arxiv.2503.03725 · pith_short_12: SBK6DOSIEHKA · pith_short_16: SBK6DOSIEHKAOK3J · pith_short_8: SBK6DOSI

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/SBK6DOSIEHKAOK3JBSBA6JQCWA \
  | 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: 9055e1ba4821d4072b690c820f2602b004a91ec599bc24eeac56e540c98ad096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "979bb291147af0aa330d8ae5d64f042932fd46473243140b57202775e1b20d33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-03-05T18:27:15Z",
    "title_canon_sha256": "3aff58f1ed02c5051dd96b16885874ffb7af6b1f5dc9f3655bf27703a60280fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.03725",
    "kind": "arxiv",
    "version": 2
  }
}