Pith Number

pith:RPVOUA2P

pith:2017:RPVOUA2PXBH4YV7XQ23UAICA7K

not attested not anchored not stored refs pending

Gravitational lensing by a Horndeski black hole

Ernesto F. Eiroa, Javier Bad\'ia

arxiv:1707.02970 v2 · 2017-07-10 · 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{RPVOUA2PXBH4YV7XQ23UAICA7K}

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	2026-05-18T00:29:45.801476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8beaea034fb84fcc57f786b7402040fa9c8c88061b5348f3578f68f577050934

Aliases

arxiv: 1707.02970 · arxiv_version: 1707.02970v2 · doi: 10.48550/arxiv.1707.02970 · pith_short_12: RPVOUA2PXBH4 · pith_short_16: RPVOUA2PXBH4YV7X · pith_short_8: RPVOUA2P

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/RPVOUA2PXBH4YV7XQ23UAICA7K \
  | 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: 8beaea034fb84fcc57f786b7402040fa9c8c88061b5348f3578f68f577050934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d4b5f5b5c8cb32688ebdbb68682a07a3d5ec4ca26fef6a59352416377e1f0d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-07-10T17:56:00Z",
    "title_canon_sha256": "b8e5e221e1767f553b7708b54e6be8549a3bc770ce4aa4dfaa35d809410cdd3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02970",
    "kind": "arxiv",
    "version": 2
  }
}