Pith Number

pith:ZFW4EGHP

pith:2005:ZFW4EGHPLYU4ANXPRYLROQ7QWA

not attested not anchored not stored refs pending

Asymptotic behavior of Cardassian cosmologies with exponential potentials

Genly Leon, Ruth Lazkoz

arxiv:astro-ph/0503478 v1 · 2005-03-22 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFW4EGHPLYU4ANXPRYLROQ7QWA}

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	2026-05-18T01:07:31.568774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c96dc218ef5e29c036ef8e171743f0b03ecdc2e5d8c16c0f295e3708a785bf7d

Aliases

arxiv: astro-ph/0503478 · arxiv_version: astro-ph/0503478v1 · doi: 10.48550/arxiv.astro-ph/0503478 · pith_short_12: ZFW4EGHPLYU4 · pith_short_16: ZFW4EGHPLYU4ANXP · pith_short_8: ZFW4EGHP

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/ZFW4EGHPLYU4ANXPRYLROQ7QWA \
  | 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: c96dc218ef5e29c036ef8e171743f0b03ecdc2e5d8c16c0f295e3708a785bf7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230907c5e6b60a2eaa3b8aa6d76e3f4e6e42b335db73037a5be89f6d5c4b82f3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-03-22T16:31:01Z",
    "title_canon_sha256": "f04901fbff26410d77e940d5d89b9ab7e39a3d831edeb1da7810b5348f53ad86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0503478",
    "kind": "arxiv",
    "version": 1
  }
}