Pith Number

pith:VZ22IV7I

pith:2011:VZ22IV7IJV4RTGPTMUQTCDMQIG

not attested not anchored not stored refs pending

Geodesically Complete Analytic Solutions for a Cyclic Universe

Itzhak Bars, Neil Turok, Shih-Hung Chen

arxiv:1105.3606 v1 · 2011-05-18 · hep-th · astro-ph.CO · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T02:21:59.410015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae75a457e84d791999f36521310d9041bf02882fd64ca4ee91a17f70aad5a495

Aliases

arxiv: 1105.3606 · arxiv_version: 1105.3606v1 · doi: 10.48550/arxiv.1105.3606 · pith_short_12: VZ22IV7IJV4R · pith_short_16: VZ22IV7IJV4RTGPT · pith_short_8: VZ22IV7I

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/VZ22IV7IJV4RTGPTMUQTCDMQIG \
  | 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: ae75a457e84d791999f36521310d9041bf02882fd64ca4ee91a17f70aad5a495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c86d77790ba77de0883e289962eb0b6a52a17bf787b271e5a2960c2b1c3332",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-05-18T12:35:58Z",
    "title_canon_sha256": "a24ffd207ff30e772bc01f510c0c03e63c1b85afae33b52492f3db571fdb9348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3606",
    "kind": "arxiv",
    "version": 1
  }
}