Pith Number

pith:2Q3RWO73

pith:2009:2Q3RWO732AFJQJECAU4YSXMPTC

not attested not anchored not stored refs pending

Constraints on Models with a Break in the Primordial Power Spectrum

Hong Li, Jun-Qing Xia, Robert Brandenberger, Xinmin Zhang

arxiv:0903.3725 v2 · 2009-03-22 · 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{2Q3RWO732AFJQJECAU4YSXMPTC}

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	2026-05-18T02:35:00.245342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4371b3bfbd00a9824820539895d8f98b0b446d7fa2094e2d8f77efa0b23e675

Aliases

arxiv: 0903.3725 · arxiv_version: 0903.3725v2 · doi: 10.48550/arxiv.0903.3725 · pith_short_12: 2Q3RWO732AFJ · pith_short_16: 2Q3RWO732AFJQJEC · pith_short_8: 2Q3RWO73

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/2Q3RWO732AFJQJECAU4YSXMPTC \
  | 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: d4371b3bfbd00a9824820539895d8f98b0b446d7fa2094e2d8f77efa0b23e675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe9688b9bed53b0a329f69fa6a6797f3024b840ec1da7185f4ec7530dbcd3700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-03-22T14:52:01Z",
    "title_canon_sha256": "513d98c39c8d3174dcd896d80ce43892df86100059ac99f85b38c909465421fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3725",
    "kind": "arxiv",
    "version": 2
  }
}