Pith Number

pith:VCC7QP7Z

pith:2014:VCC7QP7ZEUX47WD4VVCISOCWYR

not attested not anchored not stored refs pending

Past incompleteness of a bouncing multiverse

Alexander Vilenkin, Jun Zhang

arxiv:1403.1599 v1 · 2014-03-06 · 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{VCC7QP7ZEUX47WD4VVCISOCWYR}

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

Geodesic completeness of anisotropic cosmologies and the null energy condition

Receipt and verification

First computed	2026-05-18T01:44:18.700762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a885f83ff9252fcfd87cad44893856c47fbd183efa53d89ab95c602261ea5027

Aliases

arxiv: 1403.1599 · arxiv_version: 1403.1599v1 · doi: 10.48550/arxiv.1403.1599 · pith_short_12: VCC7QP7ZEUX4 · pith_short_16: VCC7QP7ZEUX47WD4 · pith_short_8: VCC7QP7Z

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/VCC7QP7ZEUX47WD4VVCISOCWYR \
  | 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: a885f83ff9252fcfd87cad44893856c47fbd183efa53d89ab95c602261ea5027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f2023b0f64d2b5256434f7d7854d88cb43dc7d6cd454929dd15b8d45f2d0c3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-03-06T21:46:20Z",
    "title_canon_sha256": "975f2d1a0674b1010f6e309b6eb01bf9474ecac7b08cd09b9661b1cc25ad31ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1599",
    "kind": "arxiv",
    "version": 1
  }
}