Pith Number

pith:WWJVOZMO

pith:2020:WWJVOZMO3BMDULH23NHWVCHVVY

not attested not anchored not stored refs pending

Primordial black holes and secondary gravitational waves from natural inflation

Qing Gao, Yungui Gong, Zhu Yi

arxiv:2012.03856 v3 · 2020-12-07 · 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{WWJVOZMO3BMDULH23NHWVCHVVY}

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

2 papers in Pith

Superhorizon curvature perturbations in hybrid inflation revisited

Scalar induced gravitational waves review

Receipt and verification

First computed	2026-07-05T04:21:02.301229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59357658ed8583a2cfadb4f6a88f5ae187cc0bff0908c22d33d9a6b1220200b

Aliases

arxiv: 2012.03856 · arxiv_version: 2012.03856v3 · doi: 10.48550/arxiv.2012.03856 · pith_short_12: WWJVOZMO3BMD · pith_short_16: WWJVOZMO3BMDULH2 · pith_short_8: WWJVOZMO

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/WWJVOZMO3BMDULH23NHWVCHVVY \
  | 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: b59357658ed8583a2cfadb4f6a88f5ae187cc0bff0908c22d33d9a6b1220200b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d35299a6ccca23a55321a28a89759b2108ae0a0be28d024f29c988a40ef4e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-07T17:06:25Z",
    "title_canon_sha256": "83728bb3b3c8360c14a92616512cad48023d6c3075a86d0ab67d0583ceacba0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.03856",
    "kind": "arxiv",
    "version": 3
  }
}