Pith Number

pith:2NGPAYVP

pith:2002:2NGPAYVPAVZSA6JWDXGO4OFI4N

not attested not anchored not stored refs pending

Generalized Cardassian Expansion: Models in Which the Universe is Flat, Matter Dominated, and Accelerating

Katherine Freese

arxiv:hep-ph/0208264 v3 · 2002-08-29 · hep-ph · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NGPAYVPAVZSA6JWDXGO4OFI4N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:33:50.312812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34cf062af05732079361dccee38a8e369672cb6ee9a1e911dc5233916800fcb

Aliases

arxiv: hep-ph/0208264 · arxiv_version: hep-ph/0208264v3 · doi: 10.48550/arxiv.hep-ph/0208264 · pith_short_12: 2NGPAYVPAVZS · pith_short_16: 2NGPAYVPAVZSA6JW · pith_short_8: 2NGPAYVP

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/2NGPAYVPAVZSA6JWDXGO4OFI4N \
  | 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: d34cf062af05732079361dccee38a8e369672cb6ee9a1e911dc5233916800fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41ec389b95f9aa81bb59240ddbda576cab074adcc4f47f6884f76134790f59ae",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-08-29T07:13:26Z",
    "title_canon_sha256": "b05dd47988bbed61d8d07f1766f713000e396dc7d8974c446bd0268306db4973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0208264",
    "kind": "arxiv",
    "version": 3
  }
}