Pith Number

pith:YXMTLZC6

pith:2006:YXMTLZC6C3TYPSNOH2P4AY732T

not attested not anchored not stored refs pending

Lensing Effects on Gravitational Waves in a Clumpy Universe -Effects of Inhomogeneity on the Distance-Redshift Relation-

Chul-Moon Yoo, Hiroshi Kozaki, Ken-ichi Nakao, Ryuichi Takahashi

arxiv:astro-ph/0604123 v3 · 2006-04-06 · astro-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{YXMTLZC6C3TYPSNOH2P4AY732T}

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	2026-07-04T15:19:41.325023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d935e45e16e787c9ae3e9fc063fbd4eed3ab22fcee6a7f8a57d765a0de601a

Aliases

arxiv: astro-ph/0604123 · arxiv_version: astro-ph/0604123v3 · doi: 10.48550/arxiv.astro-ph/0604123 · pith_short_12: YXMTLZC6C3TY · pith_short_16: YXMTLZC6C3TYPSNO · pith_short_8: YXMTLZC6

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/YXMTLZC6C3TYPSNOH2P4AY732T \
  | 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: c5d935e45e16e787c9ae3e9fc063fbd4eed3ab22fcee6a7f8a57d765a0de601a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444caf502d452147ac4c1a29824a917c56660fde1c8dc46b9ea6cb38e0bfa876",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-04-06T08:34:59Z",
    "title_canon_sha256": "5dbfa0132471d099fad20fe127e03cd3cf007712573fdc62c382c7a8bb9bdbca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0604123",
    "kind": "arxiv",
    "version": 3
  }
}