Pith Number

pith:4CTPE25I

pith:2011:4CTPE25IAVTFMGFEPQUWFISFQO

not attested not anchored not stored refs pending

Collapse of simple harmonic universe

Alexander Vilenkin, Audrey T. Mithani

arxiv:1110.4096 v4 · 2011-10-18 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CTPE25IAVTFMGFEPQUWFISFQO}

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

Classical and Semiclassical Stability of Emergent Universes in Jordan-Brans-Dicke Theory

Receipt and verification

First computed	2026-05-18T02:00:09.064189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a6f26ba805665618a47c2962a24583bd6493c0bf7ba167df0cdaa408fee9a5

Aliases

arxiv: 1110.4096 · arxiv_version: 1110.4096v4 · doi: 10.48550/arxiv.1110.4096 · pith_short_12: 4CTPE25IAVTF · pith_short_16: 4CTPE25IAVTFMGFE · pith_short_8: 4CTPE25I

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/4CTPE25IAVTFMGFEPQUWFISFQO \
  | 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: e0a6f26ba805665618a47c2962a24583bd6493c0bf7ba167df0cdaa408fee9a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2416ccabb7ad2c35ac06e651288cb1360b6ab3b0289a9d4fd498f2d8f049ec20",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-10-18T19:48:10Z",
    "title_canon_sha256": "6bc89be4df609a4d3647d48f5c458f32ea9664cfffdab9cc81317eb7b51318ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4096",
    "kind": "arxiv",
    "version": 4
  }
}