Pith Number

pith:MN5H7LDE

pith:2025:MN5H7LDEC3G7EWLSLBSK7OJML7

not attested not anchored not stored refs pending

On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation

Shasvath J. Kapadia, Teruaki Suyama

arxiv:2506.02430 v1 · 2025-06-03 · gr-qc · astro-ph.CO

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\usepackage{pith}
\pithnumber{MN5H7LDEC3G7EWLSLBSK7OJML7}

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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

Wave-optics gravitational wave lensing in modified gravity

Receipt and verification

First computed	2026-07-05T11:14:38.616492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637a7fac6416cdf259725864afb92c5fc1730f250fe7c2e92093ae70f5ed22a5

Aliases

arxiv: 2506.02430 · arxiv_version: 2506.02430v1 · doi: 10.48550/arxiv.2506.02430 · pith_short_12: MN5H7LDEC3G7 · pith_short_16: MN5H7LDEC3G7EWLS · pith_short_8: MN5H7LDE

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/MN5H7LDEC3G7EWLSLBSK7OJML7 \
  | 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: 637a7fac6416cdf259725864afb92c5fc1730f250fe7c2e92093ae70f5ed22a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4595dc2317b7684c49162b663d426402741ddef796559e2341fa2887c0ed751e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-03T04:33:32Z",
    "title_canon_sha256": "9b3da43cba49cdcab7ded8c543bbe934a5e2413dede5208d34eba422b7e39ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02430",
    "kind": "arxiv",
    "version": 1
  }
}