Pith Number

pith:NAEOYB3I

pith:2017:NAEOYB3IHWHTFKTOUGTQYBMGAR

not attested not anchored not stored refs pending

On the number of light rings in curved spacetimes of ultra-compact objects

Shahar Hod

arxiv:1710.00836 v2 · 2017-10-02 · gr-qc · astro-ph.HE · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAEOYB3IHWHTFKTOUGTQYBMGAR}

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

5 papers in Pith

As Cold as a Black Hole: Extended Photon Spheres

On Black Holes Surrounded by Radiation: I. Classical Considerations

Topological charge and black hole photon spheres in massive gravity

Strong-deflection expansion of the deflection angle near a degenerate photon sphere

Analog regular black holes and black hole mimickers for surface-gravity waves in fluids

Receipt and verification

First computed	2026-05-18T00:28:40.350237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6808ec07683d8f32aa6ea1a70c05860465091bee37bd923ab5d81e4ebe007a5b

Aliases

arxiv: 1710.00836 · arxiv_version: 1710.00836v2 · doi: 10.48550/arxiv.1710.00836 · pith_short_12: NAEOYB3IHWHT · pith_short_16: NAEOYB3IHWHTFKTO · pith_short_8: NAEOYB3I

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/NAEOYB3IHWHTFKTOUGTQYBMGAR \
  | 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: 6808ec07683d8f32aa6ea1a70c05860465091bee37bd923ab5d81e4ebe007a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27567fd5c36f17ebdf22a7f93fa81d40cdaaaf7b41bc1432968a36384758a21f",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-10-02T18:00:08Z",
    "title_canon_sha256": "5ea51fe4a77a7585c48306859a8a1760c1affe5e556268c01e23a8e1aeb2170e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00836",
    "kind": "arxiv",
    "version": 2
  }
}