Pith Number

pith:YWJWS5LZ

pith:2000:YWJWS5LZRMEOEHGONKQHPICFWR

not attested not anchored not stored refs pending

Power Spectrum Covariance of Weak Gravitational Lensing

Asantha Cooray, Wayne Hu (Univ. of Chicago)

arxiv:astro-ph/0012087 v1 · 2000-12-05 · 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{YWJWS5LZRMEOEHGONKQHPICFWR}

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	2026-07-04T16:17:43.701084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5936975798b08e21cce6aa077a045b441e48683d9a6a1fa7640860a677b7e34

Aliases

arxiv: astro-ph/0012087 · arxiv_version: astro-ph/0012087v1 · doi: 10.48550/arxiv.astro-ph/0012087 · pith_short_12: YWJWS5LZRMEO · pith_short_16: YWJWS5LZRMEOEHGO · pith_short_8: YWJWS5LZ

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/YWJWS5LZRMEOEHGONKQHPICFWR \
  | 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: c5936975798b08e21cce6aa077a045b441e48683d9a6a1fa7640860a677b7e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38171434008eb2c5fadcd850f715b123ea55f281a0684e6101289cd7692b2e80",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-12-05T17:19:44Z",
    "title_canon_sha256": "812159cdd6f6c47f70b7629d3f498628112c5da635af5a563dc6dd46d3beb4f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0012087",
    "kind": "arxiv",
    "version": 1
  }
}