Pith Number

pith:WMGQXGKB

pith:2006:WMGQXGKBEWA6SDX5ABU7MNAN6H

not attested not anchored not stored refs pending

A No-Truncation Approach to Cosmic Microwave Background Anisotropies

Steven Weinberg

arxiv:astro-ph/0607076 v2 · 2006-07-05 · astro-ph · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMGQXGKBEWA6SDX5ABU7MNAN6H}

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.

Cited by

1 paper in Pith

Rapid and accurate numerical evolution of linear cosmological perturbations with non-cold relics

Receipt and verification

First computed	2026-07-04T16:59:04.596630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30d0b99412581e90efd0069f6340df1eba1e9b912aca8efbd336c6f6a70a3c2

Aliases

arxiv: astro-ph/0607076 · arxiv_version: astro-ph/0607076v2 · doi: 10.48550/arxiv.astro-ph/0607076 · pith_short_12: WMGQXGKBEWA6 · pith_short_16: WMGQXGKBEWA6SDX5 · pith_short_8: WMGQXGKB

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/WMGQXGKBEWA6SDX5ABU7MNAN6H \
  | 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: b30d0b99412581e90efd0069f6340df1eba1e9b912aca8efbd336c6f6a70a3c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6da33fc109d0df329e1e51218455d1088c24f8d7eeed261f6e605d0e9e6b0e3",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-07-05T15:06:13Z",
    "title_canon_sha256": "8b862d3946378114b35eedc84ed21a97d7961d062901fce2c2d31a8f378414c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0607076",
    "kind": "arxiv",
    "version": 2
  }
}