Pith Number

pith:QND2KKRP

pith:2015:QND2KKRPTBRZAM764GKASWTZIS

not attested not anchored not stored refs pending

Early structure formation from primordial density fluctuations with a blue-tilted power spectrum

David Spergel, Harold W. Yorke, Naoki Yoshida, Nick Zhu, Shingo Hirano

arxiv:1504.05186 v2 · 2015-04-20 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QND2KKRPTBRZAM764GKASWTZIS}

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

Not-quite-primordial black holes seeded by cosmic string loops

Receipt and verification

First computed	2026-05-18T01:26:43.050723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8347a52a2f98639033fee194095a7944b18d5640d9065165743ececd502836f2

Aliases

arxiv: 1504.05186 · arxiv_version: 1504.05186v2 · doi: 10.48550/arxiv.1504.05186 · pith_short_12: QND2KKRPTBRZ · pith_short_16: QND2KKRPTBRZAM76 · pith_short_8: QND2KKRP

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/QND2KKRPTBRZAM764GKASWTZIS \
  | 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: 8347a52a2f98639033fee194095a7944b18d5640d9065165743ececd502836f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd926f7830e13ddd79e00c0f1cfc647b49090db23724b654e19f076fbe710dae",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-04-20T20:00:38Z",
    "title_canon_sha256": "254e0ed11734f711c4ae1faae23aa114393a5a204de35cb2e8afd983a702e82b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05186",
    "kind": "arxiv",
    "version": 2
  }
}