Pith. sign in
Pith Number

pith:2IDD5RA3

pith:1998:2IDD5RA366UGCE4EHTBTH4MYEP
not attested not anchored not stored refs pending

Cosmological long wavelength perturbations

W. Unruh (Univ. of BC)

arxiv:astro-ph/9802323 v2 · 1998-02-25 · astro-ph · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2IDD5RA366UGCE4EHTBTH4MYEP}

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

Receipt and verification
First computed 2026-07-04T14:15:41.540452Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d2063ec41bf7a86113843cc333f19823fad1a24f492729b4983b6eac19bcf735

Aliases

arxiv: astro-ph/9802323 · arxiv_version: astro-ph/9802323v2 · doi: 10.48550/arxiv.astro-ph/9802323 · pith_short_12: 2IDD5RA366UG · pith_short_16: 2IDD5RA366UGCE4E · pith_short_8: 2IDD5RA3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2IDD5RA366UGCE4EHTBTH4MYEP \
  | 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: d2063ec41bf7a86113843cc333f19823fad1a24f492729b4983b6eac19bcf735
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8148bd58a6852a2934b500bc93835e4251712a3f11970b9e1201b5b1a9f4a319",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-02-25T17:50:31Z",
    "title_canon_sha256": "0ff5266bb66eecc263a23daee8b841ad94fc3d26179f717f57b876512a0a89d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9802323",
    "kind": "arxiv",
    "version": 2
  }
}