Pith Number

pith:T2VIZC2S

pith:1999:T2VIZC2S2AC43LONZNTTFBDCLS

not attested not anchored not stored refs pending

Gravitational Lensing Effect on the Two-point Correlation of Hotspots in the Cosmic Microwave Background

Eiichiro Komatsu, Masahiro Takada, Toshifumi Futamase

arxiv:astro-ph/9908284 v4 · 1999-08-26 · 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{T2VIZC2S2AC43LONZNTTFBDCLS}

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	2026-05-18T01:07:36.111889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eaa8c8b52d005cdadcdcb673284625cbc31406ae4944d2ff038f75e0791acbe

Aliases

arxiv: astro-ph/9908284 · arxiv_version: astro-ph/9908284v4 · doi: 10.48550/arxiv.astro-ph/9908284 · pith_short_12: T2VIZC2S2AC4 · pith_short_16: T2VIZC2S2AC43LON · pith_short_8: T2VIZC2S

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/T2VIZC2S2AC43LONZNTTFBDCLS \
  | 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: 9eaa8c8b52d005cdadcdcb673284625cbc31406ae4944d2ff038f75e0791acbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2122fb41a8859de6cd55caeb2d479a6cb0211124b1bd3685c447d67bfaaf0309",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-08-26T06:33:54Z",
    "title_canon_sha256": "8e179730b630db2dc2afdec301a04e62b4632ceff2a3b3e7087d44122b286df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9908284",
    "kind": "arxiv",
    "version": 4
  }
}