Pith Number

pith:RPVKU7ZY

pith:2007:RPVKU7ZY7IINSRKUFPSF4QBJBV

not attested not anchored not stored refs pending

Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --

Misao Sasaki, Yoshiharu Tanaka

arxiv:0706.0678 v2 · 2007-06-05 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPVKU7ZY7IINSRKUFPSF4QBJBV}

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

2 papers in Pith

The statistics of curvature-profile dispersion in primordial black hole formation

Cosmological long-wavelength solutions in non-adiabatic multi-fluid systems

Receipt and verification

First computed	2026-07-04T15:24:17.430751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8beaaa7f38fa10d945542be45e40290d588b87f601c638c9fc4ff08953b3ecd8

Aliases

arxiv: 0706.0678 · arxiv_version: 0706.0678v2 · doi: 10.48550/arxiv.0706.0678 · pith_short_12: RPVKU7ZY7IIN · pith_short_16: RPVKU7ZY7IINSRKU · pith_short_8: RPVKU7ZY

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/RPVKU7ZY7IINSRKUFPSF4QBJBV \
  | 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: 8beaaa7f38fa10d945542be45e40290d588b87f601c638c9fc4ff08953b3ecd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1720e6b2e55a521b3385a479278aca6a49eb5d69aeb267505f355ac4eff0ad6",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-06-05T14:57:31Z",
    "title_canon_sha256": "0d79e557a92c211af8e28a2acaef74a3edea17be8ba0ad751b9ba202f2bb9cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0678",
    "kind": "arxiv",
    "version": 2
  }
}