Pith Number

pith:BLDBLXSX

pith:2026:BLDBLXSXUFZICS6XJLY5WHCO6H

not attested not anchored not stored refs pending

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

Shin'ichiro Ando

arxiv:2606.21519 v1 · 2026-06-19 · astro-ph.CO · astro-ph.HE · 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{BLDBLXSXUFZICS6XJLY5WHCO6H}

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.

Receipt and verification

First computed	2026-06-23T01:13:13.321416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac615de57a172814bd74af1db1c4ef1eb578e3b5d395b470be0d818e69cc564

Aliases

arxiv: 2606.21519 · arxiv_version: 2606.21519v1 · doi: 10.48550/arxiv.2606.21519 · pith_short_12: BLDBLXSXUFZI · pith_short_16: BLDBLXSXUFZICS6X · pith_short_8: BLDBLXSX

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/BLDBLXSXUFZICS6XJLY5WHCO6H \
  | 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: 0ac615de57a172814bd74af1db1c4ef1eb578e3b5d395b470be0d818e69cc564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1483772b7faef0b95ca381acbe0eb4420d5e6e2e4005baebb590453d9ffb8d49",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-19T15:16:42Z",
    "title_canon_sha256": "622d936a5f295ef6cebad449619efc1d1cf6d45a1a8f769b1cfca6f9df856ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21519",
    "kind": "arxiv",
    "version": 1
  }
}