Pith Number

pith:5FHWGN2O

pith:2022:5FHWGN2OEXZBGT647W7EWZYTWF

not attested not anchored not stored refs pending

Primordial black holes and scalar-induced gravitational waves from the generalized Brans-Dicke theory

Zhu Yi

arxiv:2206.01039 v2 · 2022-06-02 · 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{5FHWGN2OEXZBGT647W7EWZYTWF}

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

Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension

Receipt and verification

First computed	2026-07-05T05:53:32.155155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e94f63374e25f2134fdcfdbe4b6713b14222a194f22fe8da5e1173d2c8d52238

Aliases

arxiv: 2206.01039 · arxiv_version: 2206.01039v2 · doi: 10.48550/arxiv.2206.01039 · pith_short_12: 5FHWGN2OEXZB · pith_short_16: 5FHWGN2OEXZBGT64 · pith_short_8: 5FHWGN2O

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/5FHWGN2OEXZBGT647W7EWZYTWF \
  | 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: e94f63374e25f2134fdcfdbe4b6713b14222a194f22fe8da5e1173d2c8d52238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f071a0a88e03d1ceda596a3ca678f3a83210f5434eb81752db230c08e98886",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-06-02T13:20:21Z",
    "title_canon_sha256": "c3c8d69ca7d3282f2c613d25098100803ddb424e89e467365a54bc8d6abce403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.01039",
    "kind": "arxiv",
    "version": 2
  }
}