Pith Number

pith:4BRWL4TG

pith:2004:4BRWL4TG5GZGFMSWSXWMZKZPZJ

not attested not anchored not stored refs pending

The constraints on power spectrum of relic gravitational waves from current observations of large-scale structure of the Universe

B. Novosyadlyj, S. Apunevych

arxiv:astro-ph/0412060 v1 · 2004-12-02 · 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{4BRWL4TG5GZGFMSWSXWMZKZPZJ}

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	2026-07-04T14:13:56.601625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e06365f266e9b262b25695ecccab2fca61da20b433e9355d83c1cdd9a29496f7

Aliases

arxiv: astro-ph/0412060 · arxiv_version: astro-ph/0412060v1 · doi: 10.48550/arxiv.astro-ph/0412060 · pith_short_12: 4BRWL4TG5GZG · pith_short_16: 4BRWL4TG5GZGFMSW · pith_short_8: 4BRWL4TG

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/4BRWL4TG5GZGFMSWSXWMZKZPZJ \
  | 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: e06365f266e9b262b25695ecccab2fca61da20b433e9355d83c1cdd9a29496f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a15247c70d1109667a3f3080f08921fe373c47356e53f33ff1b3053ad0ccba0d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-12-02T15:25:08Z",
    "title_canon_sha256": "cdbd5af345b1766934598c751ddf8f514e4f48ea6a32e7f6d6096d918374efca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0412060",
    "kind": "arxiv",
    "version": 1
  }
}