Pith Number

pith:TZCPZP4M

pith:2003:TZCPZP4M5YSYBMU7TM5O2LE2WT

not attested not anchored not stored refs pending

Designing Cyclic Universe Models

Justin Khoury, Neil Turok, Paul J. Steinhardt

arxiv:hep-th/0307132 v4 · 2003-07-15 · 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{TZCPZP4M5YSYBMU7TM5O2LE2WT}

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

Emergent Universe in f(Q) gravity theories

Receipt and verification

First computed	2026-07-04T15:17:48.951411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e44fcbf8cee2580b29f9b3aed2c9ab4c67040df8dd86ad17bd46493e0910a1f

Aliases

arxiv: hep-th/0307132 · arxiv_version: hep-th/0307132v4 · doi: 10.48550/arxiv.hep-th/0307132 · pith_short_12: TZCPZP4M5YSY · pith_short_16: TZCPZP4M5YSYBMU7 · pith_short_8: TZCPZP4M

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/TZCPZP4M5YSYBMU7TM5O2LE2WT \
  | 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: 9e44fcbf8cee2580b29f9b3aed2c9ab4c67040df8dd86ad17bd46493e0910a1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2431c26a66c20dafe8b069d20612871b2498a0b4a58843c669aeaf92af5797a7",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-07-15T03:19:34Z",
    "title_canon_sha256": "46c20d8d779a4f182ffa0f8b4119cb546f82c1a3c2fc03a905067e8a2c35f7ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0307132",
    "kind": "arxiv",
    "version": 4
  }
}