Pith Number

pith:MCP2MPOA

pith:2001:MCP2MPOANKKBKT4KGISLFZVKOE

not attested not anchored not stored refs pending

A Cyclic Model of the Universe

Neil Turok, Paul J. Steinhardt

arxiv:hep-th/0111030 v2 · 2001-11-04 · hep-th · 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{MCP2MPOANKKBKT4KGISLFZVKOE}

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

4 papers in Pith

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

Dynamical systems analysis of an Einstein-Cartan ekpyrotic nonsingular bounce cosmology

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

Receipt and verification

First computed	2026-07-04T16:28:09.376723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

609fa63dc06a94154f8a3224b2e6aa71164e117f76b8322cfe7388b35cbfb826

Aliases

arxiv: hep-th/0111030 · arxiv_version: hep-th/0111030v2 · doi: 10.48550/arxiv.hep-th/0111030 · pith_short_12: MCP2MPOANKKB · pith_short_16: MCP2MPOANKKBKT4K · pith_short_8: MCP2MPOA

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/MCP2MPOANKKBKT4KGISLFZVKOE \
  | 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: 609fa63dc06a94154f8a3224b2e6aa71164e117f76b8322cfe7388b35cbfb826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f89657b2601aaf30985971c54c9d07ecb59ab8adf4ecf779f89258b819bbbe",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-11-04T06:11:37Z",
    "title_canon_sha256": "e03715d4e8b7d3be55b2d2ef3aa2e940b87860ef5b5766008bd7d7356499251d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0111030",
    "kind": "arxiv",
    "version": 2
  }
}