Pith Number

pith:BFBF3DCM

pith:2020:BFBF3DCMVODDTGT7FYSDSEJTD6

not attested not anchored not stored refs pending

Rotating black holes without $\mathbb{Z}_2$ symmetry and their shadow images

Che-Yu Chen

arxiv:2004.01440 v2 · 2020-04-03 · gr-qc · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFBF3DCMVODDTGT7FYSDSEJTD6}

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

3 papers in Pith

Shadow signatures and energy accumulation in Lorentzian-Euclidean black holes

Twisted doughnuts: Thick disk torus around equatorial asymmetric black hole

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

Receipt and verification

First computed	2026-07-05T01:05:46.305956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09425d8c4cab86399a7f2e243911331f888768a067da2f7dea41f30cd323d9da

Aliases

arxiv: 2004.01440 · arxiv_version: 2004.01440v2 · doi: 10.48550/arxiv.2004.01440 · pith_short_12: BFBF3DCMVODD · pith_short_16: BFBF3DCMVODDTGT7 · pith_short_8: BFBF3DCM

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/BFBF3DCMVODDTGT7FYSDSEJTD6 \
  | 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: 09425d8c4cab86399a7f2e243911331f888768a067da2f7dea41f30cd323d9da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d0c72e047f03b6c3319ceee56619cb6c080dcfa888eeb40bce1b4fab72fab5",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-04-03T09:07:42Z",
    "title_canon_sha256": "6bfedeab8f1db44944947eb01340dfc622495d1ef012cefbcf76bb168106df04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.01440",
    "kind": "arxiv",
    "version": 2
  }
}