Pith Number

pith:VN7X7HY2

pith:2025:VN7X7HY2YRSSB575IIKFJMGITH

not attested not anchored not stored refs pending

Lensing and wave optics in the strong field of a black hole

Conor Dyson, Jaime Redondo-Yuste, Juno C. L. Chan, Luka Vujeva, Matilde Garcia

arxiv:2502.14073 v3 · 2025-02-19 · gr-qc · astro-ph.GA · 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{VN7X7HY2YRSSB575IIKFJMGITH}

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

3 papers in Pith

Wave-optics gravitational wave lensing in modified gravity

The third wheel: ringdown and lensing of triple systems

Gravitational-wave lensing beyond rays: a disordered-system approach

Receipt and verification

First computed	2026-07-05T12:02:40.927882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab7f7f9f1ac46520f7fd421454b0c899c9dd0b4378b9d10ca254d79687735cb4

Aliases

arxiv: 2502.14073 · arxiv_version: 2502.14073v3 · doi: 10.48550/arxiv.2502.14073 · pith_short_12: VN7X7HY2YRSS · pith_short_16: VN7X7HY2YRSSB575 · pith_short_8: VN7X7HY2

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/VN7X7HY2YRSSB575IIKFJMGITH \
  | 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: ab7f7f9f1ac46520f7fd421454b0c899c9dd0b4378b9d10ca254d79687735cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0440bfcb5de4eeb149b8473a5296da5f89833109532bccba31e099dbb991a9dd",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-19T19:57:42Z",
    "title_canon_sha256": "7d4d168cfb1fe989938525d523d78a210cece357a937f02f6512655ea2f84a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.14073",
    "kind": "arxiv",
    "version": 3
  }
}