Pith Number

pith:EQGSKMXR

pith:2026:EQGSKMXRCDAC5P44UPROKIETAY

not attested not anchored not stored refs pending

Effective description of lensed gravitational waves diffracted by stellar fields

Miguel Zumalac\'arregui, Xikai Shan

arxiv:2606.17765 v1 · 2026-06-16 · astro-ph.HE · astro-ph.CO · astro-ph.GA · gr-qc · hep-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{EQGSKMXRCDAC5P44UPROKIETAY}

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	2026-06-19T16:10:21.235565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

240d2532f110c02ebf9ca3e2e52093062b7876077e59dd80b2f08a259c247908

Aliases

arxiv: 2606.17765 · arxiv_version: 2606.17765v1 · doi: 10.48550/arxiv.2606.17765 · pith_short_12: EQGSKMXRCDAC · pith_short_16: EQGSKMXRCDAC5P44 · pith_short_8: EQGSKMXR

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/EQGSKMXRCDAC5P44UPROKIETAY \
  | 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: 240d2532f110c02ebf9ca3e2e52093062b7876077e59dd80b2f08a259c247908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ca1c1f4b119458ef5af17c181524500fef63633dfaa26f6f26d84b405168a3",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-06-16T10:31:05Z",
    "title_canon_sha256": "b5c19495a155d11e9ddecb1adb7516e0393c9d7fe830b50dd9ba3b96c294267c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17765",
    "kind": "arxiv",
    "version": 1
  }
}