Pith Number

pith:P6KPKOWI

pith:2011:P6KPKOWIJDXWUIT53BZ2VNTKKH

not attested not anchored not stored refs pending

General conditions for scale-invariant perturbations in an expanding universe

Azadeh Moradinezhad Dizgah (Univ. at Buffalo, Ghazal Geshnizjani, SUNY), William H. Kinney

arxiv:1107.1241 v1 · 2011-07-06 · 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{P6KPKOWIJDXWUIT53BZ2VNTKKH}

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	2026-05-18T02:01:22.236452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f94f53ac848ef6a227dd873aab66a51c8f5a3ac838c53339a3a24275172bbb5

Aliases

arxiv: 1107.1241 · arxiv_version: 1107.1241v1 · doi: 10.48550/arxiv.1107.1241 · pith_short_12: P6KPKOWIJDXW · pith_short_16: P6KPKOWIJDXWUIT5 · pith_short_8: P6KPKOWI

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/P6KPKOWIJDXWUIT53BZ2VNTKKH \
  | 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: 7f94f53ac848ef6a227dd873aab66a51c8f5a3ac838c53339a3a24275172bbb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e2e52bdd158dc0b0f18c8397e7d3e194f92081977d35db9a6026b34df9fc37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-07-06T20:00:30Z",
    "title_canon_sha256": "49b653a1dd7bf5094bb9f279ce08ce21f0c5895761d5b7bda6d5bde8b4f98743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1241",
    "kind": "arxiv",
    "version": 1
  }
}