Pith Number

pith:7FLA6ME3

pith:1994:7FLA6ME3LLXZEFUXDNPAUSG7HU

not attested not anchored not stored refs pending

Application of Gradient Expansion to Inflationary Universe

Atsushi Taruya, Yasusada Nambu

arxiv:astro-ph/9411013 v1 · 1994-11-03 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FLA6ME3LLXZEFUXDNPAUSG7HU}

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

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Receipt and verification

First computed	2026-07-04T15:56:10.227295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9560f309b5aef9216971b5e0a48df3d24f3c93a59fc9d7c4f5873ff48673e6f

Aliases

arxiv: astro-ph/9411013 · arxiv_version: astro-ph/9411013v1 · doi: 10.48550/arxiv.astro-ph/9411013 · pith_short_12: 7FLA6ME3LLXZ · pith_short_16: 7FLA6ME3LLXZEFUX · pith_short_8: 7FLA6ME3

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/7FLA6ME3LLXZEFUXDNPAUSG7HU \
  | 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: f9560f309b5aef9216971b5e0a48df3d24f3c93a59fc9d7c4f5873ff48673e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b65d48ea7ec5f50423226b8b55be68b00f43f2a3884e7c51bb75b9744bac734",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1994-11-03T05:21:36Z",
    "title_canon_sha256": "6e17ebc282b3f78e865e8feefeab25d5c6a5cd04bd294a352fd7bf573d391947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9411013",
    "kind": "arxiv",
    "version": 1
  }
}