Pith Number

pith:VYJLZSZU

pith:2003:VYJLZSZUSXJ5NZFXK4BFCQQ7KS

not attested not anchored not stored refs pending

Tests for Substructure in Gravitational Lenses

(2) Institute for Advanced Study), C.S. Kochanek (1), N. Dalal (2) ((1) Center for Astrophysics

arxiv:astro-ph/0302036 v1 · 2003-02-04 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYJLZSZUSXJ5NZFXK4BFCQQ7KS}

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

Wave-optics imprints of dark matter subhalos on strongly lensed gravitational waves. II. Saddle images and detectability

Receipt and verification

First computed	2026-07-04T15:20:10.675977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae12bccb3495d3d6e4b7570251421f5486ae5613bf2229860620c8964677c4f1

Aliases

arxiv: astro-ph/0302036 · arxiv_version: astro-ph/0302036v1 · doi: 10.48550/arxiv.astro-ph/0302036 · pith_short_12: VYJLZSZUSXJ5 · pith_short_16: VYJLZSZUSXJ5NZFX · pith_short_8: VYJLZSZU

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/VYJLZSZUSXJ5NZFXK4BFCQQ7KS \
  | 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: ae12bccb3495d3d6e4b7570251421f5486ae5613bf2229860620c8964677c4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445e342c030f1f3ab0eb59c406fc2b25468a699285a6f2bdf29ec1f3dde13931",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-02-04T14:33:18Z",
    "title_canon_sha256": "094bfc70c173a3899a970117f49878fc556af95318a5c4845286ed3215e291ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0302036",
    "kind": "arxiv",
    "version": 1
  }
}