Pith Number

pith:WWGTVF4I

pith:2001:WWGTVF4IYE7JML7ZETNDYNKIJZ

not attested not anchored not stored refs pending

Cosmic Evolution in a Cyclic Universe

Neil Turok, Paul J. Steinhardt

arxiv:hep-th/0111098 v2 · 2001-11-12 · hep-th · astro-ph · hep-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{WWGTVF4IYE7JML7ZETNDYNKIJZ}

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

5 papers in Pith

Phase-resolved field-space distance criteria in ekpyrotic, bouncing and cyclic cosmologies

Dynamical system analysis in descending dark energy model

The emergent Big Bang scenario

Phase-resolved field-space distance criteria in ekpyrotic, bouncing and cyclic cosmologies

Receipt and verification

First computed	2026-05-18T01:05:59.756099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58d3a9788c13e962ff924da3c35484e4e027f393f68ff98fd5ac4ab19beb703

Aliases

arxiv: hep-th/0111098 · arxiv_version: hep-th/0111098v2 · doi: 10.48550/arxiv.hep-th/0111098 · pith_short_12: WWGTVF4IYE7J · pith_short_16: WWGTVF4IYE7JML7Z · pith_short_8: WWGTVF4I

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/WWGTVF4IYE7JML7ZETNDYNKIJZ \
  | 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: b58d3a9788c13e962ff924da3c35484e4e027f393f68ff98fd5ac4ab19beb703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1bd42febcf92d9a9169d2b0f2488070a248070f8b4b62c4d71120e1b0dc5dad",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-11-12T18:22:11Z",
    "title_canon_sha256": "8db32a3396d84e8cf8caaa10210982c69fea13b07bb691550d00212df4fb82a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0111098",
    "kind": "arxiv",
    "version": 2
  }
}