Pith Number

pith:VZCJAT6E

pith:2019:VZCJAT6EBPPKKTFTX2FSOV3VRT

not attested not anchored not stored refs pending

Curvature radius and Kerr black hole shadow

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

arxiv:1904.07710 v2 · 2019-04-16 · 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{VZCJAT6EBPPKKTFTX2FSOV3VRT}

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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

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

On Computational CUDA Studies of Black Hole Shadows

Gravity/thermodynamics correspondence via black hole shadows

Probing Kalb-Ramond gravity with charged rotating black holes: constraints from EHT observations

Photon rings and shadows of black holes with non-minimal couplings between curvature and electromagnetic field

Receipt and verification

First computed	2026-07-05T00:07:23.080649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae44904fc40bdea54cb3be8b2757758cce4622af7967d0393f8293a5531e0498

Aliases

arxiv: 1904.07710 · arxiv_version: 1904.07710v2 · doi: 10.48550/arxiv.1904.07710 · pith_short_12: VZCJAT6EBPPK · pith_short_16: VZCJAT6EBPPKKTFT · pith_short_8: VZCJAT6E

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/VZCJAT6EBPPKKTFTX2FSOV3VRT \
  | 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: ae44904fc40bdea54cb3be8b2757758cce4622af7967d0393f8293a5531e0498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd5061b9b2569c6647c3939be2c54e8e8bb9c66e15dc9ac1730d73be0d2f38b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-04-16T14:25:53Z",
    "title_canon_sha256": "317464173d3dfdd5b11a192370058c668d3271581125def7883086ec13d74445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07710",
    "kind": "arxiv",
    "version": 2
  }
}