Pith Number

pith:ZF6PHWPY

pith:2024:ZF6PHWPYJDM74M5XXNZIWMIC72

not attested not anchored not stored refs pending

Wave effect of gravitational waves intersected with a microlens field II: an adaptive hierarchical tree algorithm and population study

Bin Hu, Guoliang Li, Shude Mao, Wen Zhao, Xikai Shan, Xuechun Chen

arxiv:2409.06747 v1 · 2024-09-10 · astro-ph.IM · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF6PHWPYJDM74M5XXNZIWMIC72}

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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

Effective description of lensed gravitational waves diffracted by stellar fields

Receipt and verification

First computed	2026-07-05T09:53:04.721839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97cf3d9f848d9fe33b7bb728b3102fead3f2766007cfe50f9aa267a69a33fb3

Aliases

arxiv: 2409.06747 · arxiv_version: 2409.06747v1 · doi: 10.48550/arxiv.2409.06747 · pith_short_12: ZF6PHWPYJDM7 · pith_short_16: ZF6PHWPYJDM74M5X · pith_short_8: ZF6PHWPY

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/ZF6PHWPYJDM74M5XXNZIWMIC72 \
  | 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: c97cf3d9f848d9fe33b7bb728b3102fead3f2766007cfe50f9aa267a69a33fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2995a172dd288e7f3639c578b14bd5eddf2afb76536db47db3f5b51b7b65cf96",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2024-09-10T11:07:40Z",
    "title_canon_sha256": "b135d99adafff938c562e28f3ee99dffa74c7f25ab7025ea96de36a5c4bc6aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06747",
    "kind": "arxiv",
    "version": 1
  }
}