Pith Number

pith:RY4JY6U7

pith:2006:RY4JY6U724ASEPZK2YBD3US7WF

not attested not anchored not stored refs pending

An exact analytic spectrum of relic gravitational waves in an accelerating universe

Haixing Miao, TianYang Xia, Wen Zhao, XinZhong Er, Yang Zhang

arxiv:astro-ph/0604456 v4 · 2006-04-21 · 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{RY4JY6U724ASEPZK2YBD3US7WF}

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	2026-07-04T15:32:46.095417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e389c7a9fd701223f2ad6023dd25fb1537cd5295204ce4200dacf68683d121f

Aliases

arxiv: astro-ph/0604456 · arxiv_version: astro-ph/0604456v4 · doi: 10.48550/arxiv.astro-ph/0604456 · pith_short_12: RY4JY6U724AS · pith_short_16: RY4JY6U724ASEPZK · pith_short_8: RY4JY6U7

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/RY4JY6U724ASEPZK2YBD3US7WF \
  | 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: 8e389c7a9fd701223f2ad6023dd25fb1537cd5295204ce4200dacf68683d121f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2846b1d2d20f73d8469b7232c477725e2a668aa30b9fa88bb0cebd14f3469de7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-04-21T06:14:20Z",
    "title_canon_sha256": "b4f1044f4f0800b3c743fd9cdc499bb44c074f06edc0ad57b72f38fb2f4b378d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0604456",
    "kind": "arxiv",
    "version": 4
  }
}