Pith Number

pith:PIPMKS5K

pith:2018:PIPMKS5KQJDYQEQDW7YYKLETLB

not attested not anchored not stored refs pending

CMB spectral distortions from black holes formed by vacuum bubbles

Alexander Vilenkin, Heling Deng, Masaki Yamada

arxiv:1804.10059 v2 · 2018-04-26 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIPMKS5KQJDYQEQDW7YYKLETLB}

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

Relic gravitational waves from primordial gravitational collapses

Receipt and verification

First computed	2026-05-18T00:08:42.066602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1ec54baa8247881203b7f1852c93585ff2142c482a6bb02338625c8216b0e4

Aliases

arxiv: 1804.10059 · arxiv_version: 1804.10059v2 · doi: 10.48550/arxiv.1804.10059 · pith_short_12: PIPMKS5KQJDY · pith_short_16: PIPMKS5KQJDYQEQD · pith_short_8: PIPMKS5K

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/PIPMKS5KQJDYQEQDW7YYKLETLB \
  | 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: 7a1ec54baa8247881203b7f1852c93585ff2142c482a6bb02338625c8216b0e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eac427eca028e25db2199b6ca4e31422c53f533c3925b19fc5f5cb51393d3dd",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-04-26T13:49:29Z",
    "title_canon_sha256": "9565ffa724ead7872e75cde6b188262c12e1a33e42149854b3e60298cf53f7a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10059",
    "kind": "arxiv",
    "version": 2
  }
}