Pith Number

pith:3UWY4M3S

pith:1998:3UWY4M3SFPFMBZS2IUOKQKWQL6

not attested not anchored not stored refs pending

Duality Invariance of Cosmological Perturbation Spectra

David Wands

arxiv:gr-qc/9809062 v2 · 1998-09-22 · 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{3UWY4M3SFPFMBZS2IUOKQKWQL6}

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

3 papers in Pith

Hidden quantum-informatic symmetries of quasi-de Sitter backgrounds

UV artefacts in ultra-slow-roll models of inflation

Quasi-dust ekpyrotic scenario in Loop Quantum Cosmology

Receipt and verification

First computed	2026-07-04T16:08:51.910292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2d8e33722bcac0e65a451ca82ad05fb2e26f7ae7b3da34841961f51a03ab5b

Aliases

arxiv: gr-qc/9809062 · arxiv_version: gr-qc/9809062v2 · doi: 10.48550/arxiv.gr-qc/9809062 · pith_short_12: 3UWY4M3SFPFM · pith_short_16: 3UWY4M3SFPFMBZS2 · pith_short_8: 3UWY4M3S

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/3UWY4M3SFPFMBZS2IUOKQKWQL6 \
  | 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: dd2d8e33722bcac0e65a451ca82ad05fb2e26f7ae7b3da34841961f51a03ab5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c76db622b184b13df796599c06636ce7bd189af544ab16813f7830a4ee8efe9",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-09-22T13:28:00Z",
    "title_canon_sha256": "3298a3fd8a66c50801e537937efb131f2f1557a0c151eccb95af074b2103dfba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9809062",
    "kind": "arxiv",
    "version": 2
  }
}