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Pith Number

pith:GFWPVELE

pith:2005:GFWPVELEBFTENK2HBQCXIVTOVW
not attested not anchored not stored refs pending

Which cosmological models -- with dark energy or modified FRW dynamics?

Marek Szydlowski, Wlodzimierz Godlowski

arxiv:astro-ph/0509415 v1 · 2005-09-15 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GFWPVELEBFTENK2HBQCXIVTOVW}

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 2026-05-18T04:37:01.590356Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

316cfa9164096646ab470c0574566eadb46f4192dd81f354e8f30cbec4dcec18

Aliases

arxiv: astro-ph/0509415 · arxiv_version: astro-ph/0509415v1 · doi: 10.48550/arxiv.astro-ph/0509415 · pith_short_12: GFWPVELEBFTE · pith_short_16: GFWPVELEBFTENK2H · pith_short_8: GFWPVELE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GFWPVELEBFTENK2HBQCXIVTOVW \
  | 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: 316cfa9164096646ab470c0574566eadb46f4192dd81f354e8f30cbec4dcec18
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "15baca5bb0f1871d2931746363c447b23d22defa0c32929b1b00698d20bde543",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-09-15T00:44:13Z",
    "title_canon_sha256": "789f5f6612a656d460912c1a71f1224dc434c2d3816b94c530d10e3c0ef726a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0509415",
    "kind": "arxiv",
    "version": 1
  }
}