Pith Number

pith:5RWS2MKD

pith:2004:5RWS2MKDIHVJN5CBQZT55466PW

not attested not anchored not stored refs pending

$C^\infty$ perturbations of FRW models with a cosmological constant

Daniel Eriksson, M\'aty\'as Vas\'uth, Viktor Czinner, Zolt\'an Perj\'es

arxiv:astro-ph/0402069 v3 · 2004-02-03 · 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{5RWS2MKDIHVJN5CBQZT55466PW}

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	2026-07-04T14:13:19.359827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec6d2d314341ea96f4418667def3de7d86def45ef29e09316fb5086f581659d1

Aliases

arxiv: astro-ph/0402069 · arxiv_version: astro-ph/0402069v3 · doi: 10.48550/arxiv.astro-ph/0402069 · pith_short_12: 5RWS2MKDIHVJ · pith_short_16: 5RWS2MKDIHVJN5CB · pith_short_8: 5RWS2MKD

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/5RWS2MKDIHVJN5CBQZT55466PW \
  | 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: ec6d2d314341ea96f4418667def3de7d86def45ef29e09316fb5086f581659d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8518cb874ec750b36d502ad1c0a9c5b64e550ca58736ec066ea7534ca96036b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-02-03T11:38:51Z",
    "title_canon_sha256": "dfd8f68f9b0ec1a9cf9d68b38f5971c90e7a820cdcadfed2de5487c8c65fc605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0402069",
    "kind": "arxiv",
    "version": 3
  }
}