Pith Number

pith:2GKQHQHL

pith:2020:2GKQHQHL7G5APKCKKJVQIG7XFS

not attested not anchored not stored refs pending

Probing Dark Low-mass Halos and Primordial Black Holes with Frequency-dependent Gravitational Lensing Dispersions of Gravitational Waves

Masamune Oguri, Ryuichi Takahashi

arxiv:2007.01936 v2 · 2020-07-03 · 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{2GKQHQHL7G5APKCKKJVQIG7XFS}

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

Effective description of lensed gravitational waves diffracted by stellar fields

Wave-optics gravitational wave lensing in modified gravity

Receipt and verification

First computed	2026-07-05T01:39:02.139724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19503c0ebf9ba07a84a526b041bf72c8924ad35ff60d4cdd3f9f325c860bdfa

Aliases

arxiv: 2007.01936 · arxiv_version: 2007.01936v2 · doi: 10.48550/arxiv.2007.01936 · pith_short_12: 2GKQHQHL7G5A · pith_short_16: 2GKQHQHL7G5APKCK · pith_short_8: 2GKQHQHL

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/2GKQHQHL7G5APKCKKJVQIG7XFS \
  | 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: d19503c0ebf9ba07a84a526b041bf72c8924ad35ff60d4cdd3f9f325c860bdfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8f5502bbe141b52b1bd0e7b95988f8f876f1007200a93da732761f2d1a9243",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-07-03T20:57:33Z",
    "title_canon_sha256": "aeb4e4c0cc390eda6845763aa7378943341a54afa1653b7a0b55c35ed53cc856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.01936",
    "kind": "arxiv",
    "version": 2
  }
}