Pith Number

pith:4IYV7X43

pith:2002:4IYV7X43XXD4O5ENY73MCAEK2I

not attested not anchored not stored refs pending

Cardassian Expansion: a Model in which the Universe is Flat, Matter Dominated, and Accelerating

Katherine Freese, Matthew Lewis

arxiv:astro-ph/0201229 v2 · 2002-01-15 · astro-ph · gr-qc · hep-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{4IYV7X43XXD4O5ENY73MCAEK2I}

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	2026-07-04T16:29:15.411789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2315fdf9bbdc7c7748dc7f6c1008ad21975dabc9673b3d444155077d921cbbd

Aliases

arxiv: astro-ph/0201229 · arxiv_version: astro-ph/0201229v2 · doi: 10.48550/arxiv.astro-ph/0201229 · pith_short_12: 4IYV7X43XXD4 · pith_short_16: 4IYV7X43XXD4O5EN · pith_short_8: 4IYV7X43

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/4IYV7X43XXD4O5ENY73MCAEK2I \
  | 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: e2315fdf9bbdc7c7748dc7f6c1008ad21975dabc9673b3d444155077d921cbbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6754a8799fa7ec67b7063819ce2897c2d3fa5d802beb4931e73b3b6f03d9a5af",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-01-15T00:38:39Z",
    "title_canon_sha256": "fdeac3d013699432029e2a0730a6b354b32e82fa85acf295ee33f896b35f70cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0201229",
    "kind": "arxiv",
    "version": 2
  }
}