Pith Number

pith:CCPRFZR2

pith:2002:CCPRFZR2KZ5YHOTF4JRP3KEK4X

not attested not anchored not stored refs pending

The Cyclic Universe: An Informal Introduction

Neil Turok, Paul J. Steinhardt

arxiv:astro-ph/0204479 v1 · 2002-04-29 · 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{CCPRFZR2KZ5YHOTF4JRP3KEK4X}

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	2026-07-04T15:49:34.989079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109f12e63a567b83ba65e262fda88ae5f73e0a0e031cc5692335b3098e0d3b08

Aliases

arxiv: astro-ph/0204479 · arxiv_version: astro-ph/0204479v1 · doi: 10.48550/arxiv.astro-ph/0204479 · pith_short_12: CCPRFZR2KZ5Y · pith_short_16: CCPRFZR2KZ5YHOTF · pith_short_8: CCPRFZR2

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/CCPRFZR2KZ5YHOTF4JRP3KEK4X \
  | 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: 109f12e63a567b83ba65e262fda88ae5f73e0a0e031cc5692335b3098e0d3b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131d0824752b3fe601e51af8d20dac4e196917eca6b92d1ca8543521c2b00421",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-04-29T04:54:45Z",
    "title_canon_sha256": "0e9784a9475f175c30c21ee179bd4e73bed0cef611fe2683f8c0693742ae1bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0204479",
    "kind": "arxiv",
    "version": 1
  }
}