Pith Number

pith:TUP3WWTT

pith:2021:TUP3WWTTZDTTRNNV5ABQV53ZXK

not attested not anchored not stored refs pending

Primordial black holes and secondary gravitational waves from chaotic inflation

Qing Gao

arxiv:2102.07369 v2 · 2021-02-15 · 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{TUP3WWTTZDTTRNNV5ABQV53ZXK}

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

Scalar induced gravitational waves review

Receipt and verification

First computed	2026-07-05T02:52:42.012967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d1fbb5a73c8e738b5b5e8030af779baa5e725b15dc0ba828edfe94616b55599

Aliases

arxiv: 2102.07369 · arxiv_version: 2102.07369v2 · doi: 10.48550/arxiv.2102.07369 · pith_short_12: TUP3WWTTZDTT · pith_short_16: TUP3WWTTZDTTRNNV · pith_short_8: TUP3WWTT

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/TUP3WWTTZDTTRNNV5ABQV53ZXK \
  | 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: 9d1fbb5a73c8e738b5b5e8030af779baa5e725b15dc0ba828edfe94616b55599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d15df7184c712c7d82b87b2142ff497860cb1c47f6413572a6e0f690b0aa4906",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-02-15T07:17:06Z",
    "title_canon_sha256": "f04a33a62294041f33a51a5091acdc486b19c79fece12761e430af5c495cd9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.07369",
    "kind": "arxiv",
    "version": 2
  }
}