Pith Number

pith:PAKW7COM

pith:2002:PAKW7COMJL4VLBFFFG674P4K5Z

not attested not anchored not stored refs pending

Fluid Interpretation of Cardassian Expansion

Katherine Freese (UMich), Paolo Gondolo (CWRU)

arxiv:hep-ph/0209322 v2 · 2002-09-26 · hep-ph · 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{PAKW7COMJL4VLBFFFG674P4K5Z}

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.

Cited by

1 paper in Pith

Classical and Loop Quantum Cosmology of Interacting Dark Energy: A Dynamical System Analysis with Superfluid Dark Matter and Dust Matter

Receipt and verification

First computed	2026-07-04T16:34:21.475800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78156f89cc4af95584a529bdfe3f8aee400190de426a63b8ebf7125322cdafc9

Aliases

arxiv: hep-ph/0209322 · arxiv_version: hep-ph/0209322v2 · doi: 10.48550/arxiv.hep-ph/0209322 · pith_short_12: PAKW7COMJL4V · pith_short_16: PAKW7COMJL4VLBFF · pith_short_8: PAKW7COM

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/PAKW7COMJL4VLBFFFG674P4K5Z \
  | 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: 78156f89cc4af95584a529bdfe3f8aee400190de426a63b8ebf7125322cdafc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8cb2de6a268c3bb22a08ee4aa0cf7d1cbccd2e61ced43ef82eea81a2754b866",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-09-26T19:48:33Z",
    "title_canon_sha256": "62ea8d5dc714b4d46fa84b9140f03dd9b12632fb13d97271acb81708a57b03dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0209322",
    "kind": "arxiv",
    "version": 2
  }
}