Pith Number

pith:V63NBTI4

pith:2005:V63NBTI4UVUZ2VCHZMZKH7ZCOG

not attested not anchored not stored refs pending

Lensed CMB power spectra from all-sky correlation functions

Anthony Challinor, Antony Lewis

arxiv:astro-ph/0502425 v2 · 2005-02-21 · 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{V63NBTI4UVUZ2VCHZMZKH7ZCOG}

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	2026-07-04T16:50:51.789176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb6d0cd1ca5699d5447cb32a3ff2271890271b59b7a8431750dd568c5c2b488

Aliases

arxiv: astro-ph/0502425 · arxiv_version: astro-ph/0502425v2 · doi: 10.48550/arxiv.astro-ph/0502425 · pith_short_12: V63NBTI4UVUZ · pith_short_16: V63NBTI4UVUZ2VCH · pith_short_8: V63NBTI4

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/V63NBTI4UVUZ2VCHZMZKH7ZCOG \
  | 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: afb6d0cd1ca5699d5447cb32a3ff2271890271b59b7a8431750dd568c5c2b488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35b8595f86026b76cccc9d01c70b16de549d8d4ff4d84403932793fd92059488",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-02-21T17:37:52Z",
    "title_canon_sha256": "405f8a7662e25eacb58a7543c2b2075ee2ccea116555a0a248570077e139e88f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0502425",
    "kind": "arxiv",
    "version": 2
  }
}