Pith Number

pith:FB7PE7QT

pith:2016:FB7PE7QTPMELQUEVKE6AOUHVXG

not attested not anchored not stored refs pending

Uniqueness of static photon surfaces: Perturbative approach

Hirotaka Yoshino

arxiv:1607.07133 v2 · 2016-07-25 · 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{FB7PE7QTPMELQUEVKE6AOUHVXG}

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

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing

Receipt and verification

First computed	2026-05-18T00:49:16.476334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287ef27e137b08b85095513c0750f5b9814e587af8ab80c484ada2b986223bb8

Aliases

arxiv: 1607.07133 · arxiv_version: 1607.07133v2 · doi: 10.48550/arxiv.1607.07133 · pith_short_12: FB7PE7QTPMEL · pith_short_16: FB7PE7QTPMELQUEV · pith_short_8: FB7PE7QT

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/FB7PE7QTPMELQUEVKE6AOUHVXG \
  | 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: 287ef27e137b08b85095513c0750f5b9814e587af8ab80c484ada2b986223bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f250baa024b5130dc7554adbbf74ea61bc9452d77ee151e7fb2aba78ea6ebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-25T03:17:14Z",
    "title_canon_sha256": "afa1bb146dde6555ea18cc42ecc454e043acf0e4c3b988bda5a9b6eb80c887d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07133",
    "kind": "arxiv",
    "version": 2
  }
}