Pith Number

pith:MJ4OGSXQ

pith:2023:MJ4OGSXQL6ACVL4FSN3UHM7Z6U

not attested not anchored not stored refs pending

Photon Rings and Shadow Size for General Integrable Spacetimes

Avery Broderick, Boris Georgiev, Kiana Salehi

arxiv:2311.01495 v1 · 2023-11-02 · 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{MJ4OGSXQL6ACVL4FSN3UHM7Z6U}

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

Influence of Observer Inclination and Spacetime Structure on Photon Ring Observables

Receipt and verification

First computed	2026-07-05T07:08:30.421502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6278e34af05f802aaf85937743b3f9f53469dcf4f1886aad23bb2f9111cecd61

Aliases

arxiv: 2311.01495 · arxiv_version: 2311.01495v1 · doi: 10.48550/arxiv.2311.01495 · pith_short_12: MJ4OGSXQL6AC · pith_short_16: MJ4OGSXQL6ACVL4F · pith_short_8: MJ4OGSXQ

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/MJ4OGSXQL6ACVL4FSN3UHM7Z6U \
  | 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: 6278e34af05f802aaf85937743b3f9f53469dcf4f1886aad23bb2f9111cecd61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1437dc9bef21dfc596662e5d0a438e2d826f8ce208baae5d3bfb100d2086ac48",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-11-02T18:00:00Z",
    "title_canon_sha256": "88748cc7a41138a78bfec5d4108ca0a8a31005dd20cbf59c1eed4d4e8e651186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.01495",
    "kind": "arxiv",
    "version": 1
  }
}