Pith Number

pith:YCKBTQ32

pith:2020:YCKBTQ32F5QEY3UFABT7F5TT2A

not attested not anchored not stored refs pending

Shadows and photon spheres with spherical accretions in the four-dimensional Gauss-Bonnet black hole

Hai-Qing Zhang, Hongbao Zhang, Xiao-Xiong Zeng

arxiv:2004.12074 v4 · 2020-04-25 · 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{YCKBTQ32F5QEY3UFABT7F5TT2A}

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

10 papers in Pith

Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential

Photon Spheres and shadow of modified black-hole entropies

Optical Appearance of the Kerr-Bertotti-Robinson Black Hole with a Magnetically Driven Synchrotron Emissivity Model

Strong-field signatures of a regular black hole in an Einasto dark matter halo

Receipt and verification

First computed	2026-07-05T01:46:51.642179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c09419c37a2f604c6e850067f2f673d0265c7fa16d1de9158dc685c451c0fe4c

Aliases

arxiv: 2004.12074 · arxiv_version: 2004.12074v4 · doi: 10.48550/arxiv.2004.12074 · pith_short_12: YCKBTQ32F5QE · pith_short_16: YCKBTQ32F5QEY3UF · pith_short_8: YCKBTQ32

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/YCKBTQ32F5QEY3UFABT7F5TT2A \
  | 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: c09419c37a2f604c6e850067f2f673d0265c7fa16d1de9158dc685c451c0fe4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2929b9c1722d2bfc7160681c72cbfd7b2af06a3840329cc342afd776a919ac6c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-04-25T07:45:05Z",
    "title_canon_sha256": "6991a8a6b595aed368ffe7bf31a7d7e4a8abc74c6127b39c0a90209196e3d76c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12074",
    "kind": "arxiv",
    "version": 4
  }
}