Pith Number

pith:F4X57LVK

pith:2024:F4X57LVK57BQFEEUJXXC4FCFDB

not attested not anchored not stored refs pending

Constraining spherically symmetric metrics by the gap between photon rings

Fabio Aratore, Oleg Yu. Tsupko, Volker Perlick

arxiv:2402.14733 v2 · 2024-02-22 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4X57LVK57BQFEEUJXXC4FCFDB}

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

1 paper in Pith

Probing Lorentz Symmetry Violation through Lensing Observables of Rotating Black Holes

Receipt and verification

First computed	2026-07-05T08:57:00.815118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2fdfaeaaefc30290944dee2e1445187a1f419aed5a879126711e92434e3011

Aliases

arxiv: 2402.14733 · arxiv_version: 2402.14733v2 · doi: 10.48550/arxiv.2402.14733 · pith_short_12: F4X57LVK57BQ · pith_short_16: F4X57LVK57BQFEEU · pith_short_8: F4X57LVK

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/F4X57LVK57BQFEEUJXXC4FCFDB \
  | 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: 2f2fdfaeaaefc30290944dee2e1445187a1f419aed5a879126711e92434e3011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b3e0f4f782a8a47090a9e141a904652dbe7d68c2a62cfce83eb85446da4c0a4",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-02-22T17:44:44Z",
    "title_canon_sha256": "775a00e79986a40dc43e4ee7a9fb6981a1d0c95846ddfb60927788edab8eebe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14733",
    "kind": "arxiv",
    "version": 2
  }
}