Pith Number

pith:WXHCAFQI

pith:2025:WXHCAFQIDJGMFO53GXT27QVLKQ

not attested not anchored not stored refs pending

Thermodynamic Topological Classes of Family of Black Holes with NUT-Charge

Muhammad Rizwan, Mustapha Azreg-A\"inou

arxiv:2502.13914 v2 · 2025-02-19 · 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{WXHCAFQIDJGMFO53GXT27QVLKQ}

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.

Cited by

1 paper in Pith

Topology of black hole thermodynamics: A brief review

Receipt and verification

First computed	2026-07-05T11:10:52.946050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ce2016081a4cc2bbbb35e7afc2ab5403b23a70f910f994caf7dd04204124f5

Aliases

arxiv: 2502.13914 · arxiv_version: 2502.13914v2 · doi: 10.48550/arxiv.2502.13914 · pith_short_12: WXHCAFQIDJGM · pith_short_16: WXHCAFQIDJGMFO53 · pith_short_8: WXHCAFQI

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/WXHCAFQIDJGMFO53GXT27QVLKQ \
  | 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: b5ce2016081a4cc2bbbb35e7afc2ab5403b23a70f910f994caf7dd04204124f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de3996fa25323338a3f2d5b00a010fa2e47de537c11a78e9e41f8c4ec81ccef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-19T17:47:58Z",
    "title_canon_sha256": "30b69e2397a30c037dbf6867756e4bf3a857af060db100df97cefa9408d0e856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.13914",
    "kind": "arxiv",
    "version": 2
  }
}