Pith Number

pith:JQLXMXHW

pith:2015:JQLXMXHWKEOCG23HOSZM6VG3GE

not attested not anchored not stored refs pending

Black holes and the multiverse

Alexander Vilenkin, Jaume Garriga, Jun Zhang

arxiv:1512.01819 v4 · 2015-12-06 · hep-th · astro-ph.CO · 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{JQLXMXHWKEOCG23HOSZM6VG3GE}

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

6 papers in Pith

Cuspidal Singularities in Collapsing Domain Walls

Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component

Scalar induced gravitational waves review

Primordial Black Holes as Dark Matter: Recent Developments

Constraints on Primordial Black Holes

Receipt and verification

First computed	2026-05-18T01:19:05.450352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c17765cf6511c236b6774b2cf54db31043ec00a53e09e65a3eeb7d1b9180c19

Aliases

arxiv: 1512.01819 · arxiv_version: 1512.01819v4 · doi: 10.48550/arxiv.1512.01819 · pith_short_12: JQLXMXHWKEOC · pith_short_16: JQLXMXHWKEOCG23H · pith_short_8: JQLXMXHW

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/JQLXMXHWKEOCG23HOSZM6VG3GE \
  | 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: 4c17765cf6511c236b6774b2cf54db31043ec00a53e09e65a3eeb7d1b9180c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e6e4c3bacc58d39d9ab2636cb0e0722d20d7b77bd0bce13b5431d3968d0e68",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-06T19:01:39Z",
    "title_canon_sha256": "5eb6dd89008d08b74e50a20c9114b15b826f6d29cf5545dd295d1691e23826a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01819",
    "kind": "arxiv",
    "version": 4
  }
}