Pith Number

pith:XJIZRWL5

pith:2022:XJIZRWL5JD3RDS3OT67PMEW4OB

not attested not anchored not stored refs pending

Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes

Fang Liu, Huai-Fan Li, Li-Chun Zhang, Yun-Zhi Du

arxiv:2204.01007 v2 · 2022-04-03 · 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{XJIZRWL5JD3RDS3OT67PMEW4OB}

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

5 papers in Pith

Off-shell Hessian thermodynamic stability of higher-curvature black holes

Photon Spheres and shadow of modified black-hole entropies

Unifying topological, geometric, and complex classifications of black hole thermodynamics

Receipt and verification

First computed	2026-07-05T05:37:05.181956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5198d97d48f711cb6e9fbef612dc706479c282a7dbea402c95fbc791172831

Aliases

arxiv: 2204.01007 · arxiv_version: 2204.01007v2 · doi: 10.48550/arxiv.2204.01007 · pith_short_12: XJIZRWL5JD3R · pith_short_16: XJIZRWL5JD3RDS3O · pith_short_8: XJIZRWL5

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/XJIZRWL5JD3RDS3OT67PMEW4OB \
  | 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: ba5198d97d48f711cb6e9fbef612dc706479c282a7dbea402c95fbc791172831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17300511c52bc68658b0404433ed3f08db9ec09f2e20a43ade6fdb86a923ff8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-04-03T06:44:10Z",
    "title_canon_sha256": "ecf3c932f398d5b7dcd2a680687441057d8c406f0587942ea3dbc3e3a9065b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01007",
    "kind": "arxiv",
    "version": 2
  }
}