Pith Number

pith:4LL3VVMZ

pith:2011:4LL3VVMZSJJH4Z4JCPRXEWRH2Z

not attested not anchored not stored refs pending

Quantum origin of pre-big bang collapse from Induced Matter theory of gravity

CONICET), Mauricio Bellini (IFIMAR - Mar del Plata University

arxiv:1111.5508 v4 · 2011-11-23 · gr-qc · astro-ph.CO · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LL3VVMZSJJH4Z4JCPRXEWRH2Z}

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.

Receipt and verification

First computed	2026-05-18T01:59:26.292518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d7bad59992527e678913e3725a27d669e84ea4d001f835453972a4d5476462

Aliases

arxiv: 1111.5508 · arxiv_version: 1111.5508v4 · doi: 10.48550/arxiv.1111.5508 · pith_short_12: 4LL3VVMZSJJH · pith_short_16: 4LL3VVMZSJJH4Z4J · pith_short_8: 4LL3VVMZ

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/4LL3VVMZSJJH4Z4JCPRXEWRH2Z \
  | 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: e2d7bad59992527e678913e3725a27d669e84ea4d001f835453972a4d5476462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "165586a4d92973973ac79575120b485a38a97297c4527c1bdf1e662839ee217e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-23T14:45:10Z",
    "title_canon_sha256": "1ec859bd36e5e3c9b9831ed5c2f9633c61a17bca57d70d95d0f665ad0627647d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5508",
    "kind": "arxiv",
    "version": 4
  }
}