Pith Number

pith:C37XU4FU

pith:2020:C37XU4FUNQ7EAOGP4GDDH3LYWU

not attested not anchored not stored refs pending

Stationary black holes and light rings

Carlos A. R. Herdeiro, Pedro V. P. Cunha

arxiv:2003.06445 v1 · 2020-03-13 · gr-qc · astro-ph.HE · 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{C37XU4FUNQ7EAOGP4GDDH3LYWU}

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

7 papers in Pith

Photon spheres in dynamical space-times

Constraining Black Hole Parameters in Non-Commutative Geometry using Machine Learning

Topological charge and black hole photon spheres in massive gravity

A Topological Origin of Black Hole Mass

Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology

Receipt and verification

First computed	2026-07-05T01:02:11.937050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16ff7a70b46c3e4038cfe18633ed78b50dbd7438a53462511f59c42eb2f535cf

Aliases

arxiv: 2003.06445 · arxiv_version: 2003.06445v1 · doi: 10.48550/arxiv.2003.06445 · pith_short_12: C37XU4FUNQ7E · pith_short_16: C37XU4FUNQ7EAOGP · pith_short_8: C37XU4FU

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/C37XU4FUNQ7EAOGP4GDDH3LYWU \
  | 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: 16ff7a70b46c3e4038cfe18633ed78b50dbd7438a53462511f59c42eb2f535cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0a92014b4c378f0cc30b8e732c13f0c55548fb6c4a300b9d06fd74012b91e6",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-13T19:00:02Z",
    "title_canon_sha256": "51c53055802d9aaa448aa50a7e5aa8f4941b9ff6b654fa1085c3ae4a2c875fc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.06445",
    "kind": "arxiv",
    "version": 1
  }
}