Pith Number

pith:6T26XBSE

pith:2025:6T26XBSEYJLITJ23HC22H2N4KI

not attested not anchored not stored refs pending

Topological Thermodynamics of Black Holes: Revisiting the methods of winding numbers calculation

A. A. M. Silva, C. R. Muniz, G. Alencar, M. Nilton, R. R. Landim

arxiv:2511.06579 v4 · 2025-11-09 · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6T26XBSEYJLITJ23HC22H2N4KI}

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

Topological Thermodynamics of Generalized Bardeen Black Hole

Receipt and verification

First computed	2026-05-27T01:04:52.510381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4f5eb8644c25689a75b38b5a3e9bc5209ec87c40ecf5e7d1097e2c2b40a6e65

Aliases

arxiv: 2511.06579 · arxiv_version: 2511.06579v4 · doi: 10.48550/arxiv.2511.06579 · pith_short_12: 6T26XBSEYJLI · pith_short_16: 6T26XBSEYJLITJ23 · pith_short_8: 6T26XBSE

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/6T26XBSEYJLITJ23HC22H2N4KI \
  | 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: f4f5eb8644c25689a75b38b5a3e9bc5209ec87c40ecf5e7d1097e2c2b40a6e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736fa5d826385acdb4f63d7ef555b81d53f33741a218da69d86388241d60b5d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-11-09T23:47:58Z",
    "title_canon_sha256": "d06ed57f8daf096211327bd32f44e0a2890c24b5dd2b6446c02ad2ba7dec7cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06579",
    "kind": "arxiv",
    "version": 4
  }
}