Pith Number

pith:DDX5EXHW

pith:2004:DDX5EXHW4AM7XVSSIJBBZFABZR

not attested not anchored not stored refs pending

The Cyclic Model Simplified

Neil Turok, Paul J. Steinhardt

arxiv:astro-ph/0404480 v1 · 2004-04-24 · 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{DDX5EXHW4AM7XVSSIJBBZFABZR}

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	2026-07-04T15:49:35.218743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18efd25cf6e019fbd65242421c9401cc5e22ed256142e9b2fd1fe68395d3cca2

Aliases

arxiv: astro-ph/0404480 · arxiv_version: astro-ph/0404480v1 · doi: 10.48550/arxiv.astro-ph/0404480 · pith_short_12: DDX5EXHW4AM7 · pith_short_16: DDX5EXHW4AM7XVSS · pith_short_8: DDX5EXHW

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/DDX5EXHW4AM7XVSSIJBBZFABZR \
  | 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: 18efd25cf6e019fbd65242421c9401cc5e22ed256142e9b2fd1fe68395d3cca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7e470208928d6fb643e0884fb89971d1d7bed0a283cf91acb80dac894f8ebb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-04-24T15:28:41Z",
    "title_canon_sha256": "dd9671c918631361edf409719d138f2f78a7682aeee0e3b9812f1c9b1e1198f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0404480",
    "kind": "arxiv",
    "version": 1
  }
}