Pith Number

pith:RSUY5MH2

pith:2023:RSUY5MH2KFHRQ5TJ6XHTKVPTRU

not attested not anchored not stored refs pending

Extended thermodynamics of the bumblebee black holes

Dicong Liang, Lijing Shao, Rui Xu, Zhan-Feng Mai

arxiv:2304.08030 v2 · 2023-04-17 · 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{RSUY5MH2KFHRQ5TJ6XHTKVPTRU}

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

3 papers in Pith

Asymptotically-flat Black holes in Bumblebee gravity: Exact solutions and Thermodynamics

Black holes and neutron stars in massive Hellings-Nordtvedt theory

Thermodynamics and information recovery of Schwarzschild AdS black holes in conformal Killing gravity

Receipt and verification

First computed	2026-07-05T06:30:30.402710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ca98eb0fa514f187669f5cf3555f38d087a2a9c0a26333d52b860ce38a300ca

Aliases

arxiv: 2304.08030 · arxiv_version: 2304.08030v2 · doi: 10.48550/arxiv.2304.08030 · pith_short_12: RSUY5MH2KFHR · pith_short_16: RSUY5MH2KFHRQ5TJ · pith_short_8: RSUY5MH2

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/RSUY5MH2KFHRQ5TJ6XHTKVPTRU \
  | 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: 8ca98eb0fa514f187669f5cf3555f38d087a2a9c0a26333d52b860ce38a300ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167e46b071a7df662c1041d34bb37e82f8404eb0315b7fcdd7605e27950b4885",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-04-17T07:25:56Z",
    "title_canon_sha256": "919d47b02283dc8c3fc79e3239a2f7fa012ec5cb1a8ab466b53b3e59957f6c66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.08030",
    "kind": "arxiv",
    "version": 2
  }
}