Pith Number

pith:EQCPM4KM

pith:2009:EQCPM4KMAUMIFC3FU3D2BQMXAC

not attested not anchored not stored refs pending

Approximate Analytic Spectra of Reionized CMB Anisotropies and Polarization generated by Relic Gravitational Waves

T.Y. Xia, Y. Zhang

arxiv:0903.3159 v2 · 2009-03-18 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQCPM4KMAUMIFC3FU3D2BQMXAC}

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	2026-07-04T16:21:48.725474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2404f6714c0518828b65a6c7a0c19700b8170f05e82c5436ce3a71141fc745d5

Aliases

arxiv: 0903.3159 · arxiv_version: 0903.3159v2 · doi: 10.48550/arxiv.0903.3159 · pith_short_12: EQCPM4KMAUMI · pith_short_16: EQCPM4KMAUMIFC3F · pith_short_8: EQCPM4KM

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/EQCPM4KMAUMIFC3FU3D2BQMXAC \
  | 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: 2404f6714c0518828b65a6c7a0c19700b8170f05e82c5436ce3a71141fc745d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d949383cfbd2e586bbe71437074ba14d7272211fd19dede2dee98cf4da85ad53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-03-18T13:38:46Z",
    "title_canon_sha256": "ffe26fca7a0ac0a59483df16d59f9c64ebe61efedc295c82c6a2995e72a5ae6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3159",
    "kind": "arxiv",
    "version": 2
  }
}