Pith Number

pith:6DJF4A7Z

pith:2002:6DJF4A7ZQYXHKFNXHMN6VADSLZ

not attested not anchored not stored refs pending

Rapid Calculation of Theoretical CMB Angular Power Spectra

Constantinos Skordis (UC Davis), Lloyd Knox, Manoj Kaplinghat

arxiv:astro-ph/0203413 v3 · 2002-03-25 · 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{6DJF4A7ZQYXHKFNXHMN6VADSLZ}

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	2026-07-04T16:29:35.729575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0d25e03f9862e7515b73b1bea80725e7232fa722d7135527a59c219006be761

Aliases

arxiv: astro-ph/0203413 · arxiv_version: astro-ph/0203413v3 · doi: 10.48550/arxiv.astro-ph/0203413 · pith_short_12: 6DJF4A7ZQYXH · pith_short_16: 6DJF4A7ZQYXHKFNX · pith_short_8: 6DJF4A7Z

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/6DJF4A7ZQYXHKFNXHMN6VADSLZ \
  | 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: f0d25e03f9862e7515b73b1bea80725e7232fa722d7135527a59c219006be761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05e0e7f872c028136e9ef5aab0da80454a3535342deddb2150d5034b6269784",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-03-25T20:48:42Z",
    "title_canon_sha256": "3daf6cbfc405072da1d3e716cd4aea80c5ff934248222e14741ba4ef9526060f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0203413",
    "kind": "arxiv",
    "version": 3
  }
}