Pith Number

pith:QWFA4PZ3

pith:2018:QWFA4PZ3X5QC5GPFS7AXPPW46J

not attested not anchored not stored refs pending

Black hole shadow in an expanding universe with a cosmological constant

Gennady S. Bisnovatyi-Kogan, Oleg Yu. Tsupko, Volker Perlick

arxiv:1804.04898 v1 · 2018-04-13 · 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{QWFA4PZ3X5QC5GPFS7AXPPW46J}

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

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Shadows of quintessence black holes: spherical accretion, photon trajectories, and geodesic observers

Shaving off soft hairs and the black hole image memory effect

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

Receipt and verification

First computed	2026-05-18T00:14:21.450490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858a0e3f3bbf602e99e597c177bedcf27b26881883ebab39546ccee48b6bab10

Aliases

arxiv: 1804.04898 · arxiv_version: 1804.04898v1 · doi: 10.48550/arxiv.1804.04898 · pith_short_12: QWFA4PZ3X5QC · pith_short_16: QWFA4PZ3X5QC5GPF · pith_short_8: QWFA4PZ3

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/QWFA4PZ3X5QC5GPFS7AXPPW46J \
  | 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: 858a0e3f3bbf602e99e597c177bedcf27b26881883ebab39546ccee48b6bab10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48373ed8666a8bb3cef228f9168cb43521bb57f0b3f1fe8f73e03fa65eef9062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-04-13T11:54:34Z",
    "title_canon_sha256": "66095ace7624004f858c34a636f0cf2d10857c93081009f76a1cff7bd0b135b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04898",
    "kind": "arxiv",
    "version": 1
  }
}