Pith Number

pith:LNEIZBLQ

pith:2022:LNEIZBLQQGVW3K4KSNCTHQ56BI

not attested not anchored not stored refs pending

Black Hole Solutions as Topological Thermodynamic Defects

Robert B. Mann, Shao-Wen Wei, Yu-Xiao Liu

arxiv:2208.01932 v3 · 2022-08-03 · 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{LNEIZBLQQGVW3K4KSNCTHQ56BI}

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

10 papers in Pith

Hawking--Page Universality, Thermodynamic Dipoles and Categorical Defects

Off-shell Thermodynamics and Kinetics of Holographic CFTs Dual to Charged AdS Black Holes

Multihair thermodynamics of Kerr-Newman-NUT-AdS$_4$ spacetimes

Topological Thermodynamics of Generalized Bardeen Black Hole

Receipt and verification

First computed	2026-07-05T05:12:14.636475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b488c857081ab6dab8a934533c3be0a1c6aa500d11ba2f109deb885b47ff674

Aliases

arxiv: 2208.01932 · arxiv_version: 2208.01932v3 · doi: 10.48550/arxiv.2208.01932 · pith_short_12: LNEIZBLQQGVW · pith_short_16: LNEIZBLQQGVW3K4K · pith_short_8: LNEIZBLQ

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/LNEIZBLQQGVW3K4KSNCTHQ56BI \
  | 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: 5b488c857081ab6dab8a934533c3be0a1c6aa500d11ba2f109deb885b47ff674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1771bb3b467b5302ea8830eaf9095b448cce4bf88255990573a61aba3a6e4a1a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-08-03T09:18:58Z",
    "title_canon_sha256": "6b00ae85d36e2b2bfb6110e4f9fa0007825acb835614be88c660a7fbf7d0bdc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.01932",
    "kind": "arxiv",
    "version": 3
  }
}