Pith Number

pith:NP2WPN6E

pith:2019:NP2WPN6ENISWOA3AYH6XYRQJTV

not attested not anchored not stored refs pending

Photon Orbits and Thermodynamic Phase Transition of Regular AdS Black Holes

Ajith K.M., A. Naveena Kumara, C.L. Ahmed Rizwan, Md Sabir Ali, Shreyas Punacha

arxiv:1912.11909 v2 · 2019-12-26 · 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{NP2WPN6ENISWOA3AYH6XYRQJTV}

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

2 papers in Pith

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

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

Receipt and verification

First computed	2026-07-05T01:48:43.563002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf567b7c46a25670360c1fd7c46099d591e1ba7f87449479d120274ebdb2a43

Aliases

arxiv: 1912.11909 · arxiv_version: 1912.11909v2 · doi: 10.48550/arxiv.1912.11909 · pith_short_12: NP2WPN6ENISW · pith_short_16: NP2WPN6ENISWOA3A · pith_short_8: NP2WPN6E

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/NP2WPN6ENISWOA3AYH6XYRQJTV \
  | 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: 6bf567b7c46a25670360c1fd7c46099d591e1ba7f87449479d120274ebdb2a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a464e1c9170ddead63d4ddf0a18ac2b8d842a6afa804fcf11eabf53a2c3549a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-26T18:15:12Z",
    "title_canon_sha256": "f7d6cd21a32b0e951d0300d477b5476cab195cff3ddb4384e7a2f82c060a0681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.11909",
    "kind": "arxiv",
    "version": 2
  }
}