Pith Number

pith:A4ZCCRI3

pith:2006:A4ZCCRI3XNE25KZAKUB7MWURZK

not attested not anchored not stored refs pending

The Born and Lens-Lens Corrections to Weak Gravitational Lensing Angular Power Spectra

Asantha Cooray (UC Irvine), Charles Shapiro (Chicago/KICP)

arxiv:astro-ph/0601226 v2 · 2006-01-10 · 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{A4ZCCRI3XNE25KZAKUB7MWURZK}

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	2026-05-18T04:22:20.579306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

073221451bbb49aeab205503f65a91caad6b022a3863f885de5681012e70827a

Aliases

arxiv: astro-ph/0601226 · arxiv_version: astro-ph/0601226v2 · doi: 10.48550/arxiv.astro-ph/0601226 · pith_short_12: A4ZCCRI3XNE2 · pith_short_16: A4ZCCRI3XNE25KZA · pith_short_8: A4ZCCRI3

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/A4ZCCRI3XNE25KZAKUB7MWURZK \
  | 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: 073221451bbb49aeab205503f65a91caad6b022a3863f885de5681012e70827a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315fd5174efbe0138057fa0b1c4a791156d4e37cbab66697b9153649b7f65562",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-01-10T23:25:36Z",
    "title_canon_sha256": "781e1dd33be1bd4ad3e75134a7b755d90ea7a2412dfdde2877946de92de88eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0601226",
    "kind": "arxiv",
    "version": 2
  }
}