Pith Number

pith:ND6OS22X

pith:2026:ND6OS22XBRRFE7D5W57H6PCFFA

not attested not anchored not stored refs pending

Light rings, gravitational lensing, and ISCOs of exotic compact objects in Einstein-scalar-Maxwell theories

Antonio De Felice, Shinji Tsujikawa

arxiv:2602.23657 v2 · 2026-02-27 · gr-qc · astro-ph.CO · 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{ND6OS22XBRRFE7D5W57H6PCFFA}

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

Inspiral gravitational waveforms from charged compact binaries with scalar hair

Receipt and verification

First computed	2026-06-03T01:05:10.946231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68fce96b570c62527c7db77e7f3c452813291e11c9503159a0a199148d182d6d

Aliases

arxiv: 2602.23657 · arxiv_version: 2602.23657v2 · doi: 10.48550/arxiv.2602.23657 · pith_short_12: ND6OS22XBRRF · pith_short_16: ND6OS22XBRRFE7D5 · pith_short_8: ND6OS22X

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/ND6OS22XBRRFE7D5W57H6PCFFA \
  | 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: 68fce96b570c62527c7db77e7f3c452813291e11c9503159a0a199148d182d6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b625dbc8ab7ef0c955d662855b769db0a6997c1ab41dc443e5510db479c715",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-02-27T03:47:35Z",
    "title_canon_sha256": "9124ab81c2c92cfe7f45262309f2b9ab4bed75602ac9210f68b733e85920218d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.23657",
    "kind": "arxiv",
    "version": 2
  }
}