Pith Number

pith:JQEFTL35

pith:2022:JQEFTL35YPJJVT4JLB4QG4D3IG

not attested not anchored not stored refs pending

Wave effect of gravitational waves intersected with a microlens field: a new algorithm and supplementary study

Guoliang Li, Wenwen Zheng, Wen Zhao, Xikai Shan, Xuechun Chen

arxiv:2208.13566 v2 · 2022-08-29 · astro-ph.CO · astro-ph.IM · 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{JQEFTL35YPJJVT4JLB4QG4D3IG}

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

2 papers in Pith

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

Effective description of lensed gravitational waves diffracted by stellar fields

Receipt and verification

First computed	2026-07-05T09:52:55.626247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0859af7dc3d29acf89587903707b41a1cdca303517f8eb99a821b85b38b977

Aliases

arxiv: 2208.13566 · arxiv_version: 2208.13566v2 · doi: 10.48550/arxiv.2208.13566 · pith_short_12: JQEFTL35YPJJ · pith_short_16: JQEFTL35YPJJVT4J · pith_short_8: JQEFTL35

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/JQEFTL35YPJJVT4JLB4QG4D3IG \
  | 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: 4c0859af7dc3d29acf89587903707b41a1cdca303517f8eb99a821b85b38b977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f77172b420839d07a4590f540772a3550be4ce1d040bed5888f0c8b4d0957d69",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-08-29T12:52:03Z",
    "title_canon_sha256": "9454e54a3474b047b531ef6157a492e4be10393bf0a4c195fedeb0762b8d87f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.13566",
    "kind": "arxiv",
    "version": 2
  }
}