Pith Number

pith:5JYQCDFT

pith:2003:5JYQCDFTOS5S3QL4XO74JMOGUU

not attested not anchored not stored refs pending

Constraints on Cardassian Scenario from the Expansion Turnaround Redshift and the Sunyaev-Zeldovich/X-ray Data

Masa-Katsu Fujimoto, Zong-Hong Zhu

arxiv:astro-ph/0312022 v1 · 2003-12-01 · 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{5JYQCDFTOS5S3QL4XO74JMOGUU}

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	2026-07-04T16:37:54.444899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea71010cb374bb2dc17cbbbfc4b1c6a518d05d3b37b9761222c458b83f67b809

Aliases

arxiv: astro-ph/0312022 · arxiv_version: astro-ph/0312022v1 · doi: 10.48550/arxiv.astro-ph/0312022 · pith_short_12: 5JYQCDFTOS5S · pith_short_16: 5JYQCDFTOS5S3QL4 · pith_short_8: 5JYQCDFT

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/5JYQCDFTOS5S3QL4XO74JMOGUU \
  | 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: ea71010cb374bb2dc17cbbbfc4b1c6a518d05d3b37b9761222c458b83f67b809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2bc02c887e95ead11acadac6bdbad19ef39a707b47b54b47d50073c768e9cc5",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-12-01T01:54:55Z",
    "title_canon_sha256": "025c88917f3c0e444f76f2665a3b8447142894128bd3b6c7369693ec022b3368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0312022",
    "kind": "arxiv",
    "version": 1
  }
}