Pith Number

pith:I4XZD3UR

pith:2024:I4XZD3UR3PO3LGUKERL3QIZA6D

not attested not anchored not stored refs pending

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach

Bofeng Wu, En-Wei Liang, Xiao Zhang

arxiv:2501.00361 v6 · 2024-12-31 · 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{I4XZD3UR3PO3LGUKERL3QIZA6D}

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

4 papers in Pith

Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential

Photon Spheres and Shadows of Black Holes with Modified Entropy-Inspired Metrics

Receipt and verification

First computed	2026-07-05T11:23:22.040235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472f91ee91dbddb59a8a2457b82320f0cae82f248785073c701cd744f4d85c0a

Aliases

arxiv: 2501.00361 · arxiv_version: 2501.00361v6 · doi: 10.48550/arxiv.2501.00361 · pith_short_12: I4XZD3UR3PO3 · pith_short_16: I4XZD3UR3PO3LGUK · pith_short_8: I4XZD3UR

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/I4XZD3UR3PO3LGUKERL3QIZA6D \
  | 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: 472f91ee91dbddb59a8a2457b82320f0cae82f248785073c701cd744f4d85c0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d7df36a5134be7c201a8a14ae95c4d6ee5eb6ddf0471a99e3100c9b6173cc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-31T09:26:18Z",
    "title_canon_sha256": "ae7cd4a94a234af39bc867d027d718a74071613858316c713db4f4742713a751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00361",
    "kind": "arxiv",
    "version": 6
  }
}