Pith Number

pith:AE6CBT22

pith:2021:AE6CBT22G2UYOZEDZ6ZGV63R35

not attested not anchored not stored refs pending

Primordial black holes and induced gravitational waves from inflation in the Horndeski theory of gravity

Gansukh Tumurtushaa, Pisin Chen, Seoktae Koh

arxiv:2107.08638 v1 · 2021-07-19 · 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{AE6CBT22G2UYOZEDZ6ZGV63R35}

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

A complete analysis of inflation with piecewise quadratic potential

Receipt and verification

First computed	2026-07-05T02:58:51.029995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

013c20cf5a36a9876483cfb26afb71df6758b4a2abfcd8a6b70fa92ac4a58555

Aliases

arxiv: 2107.08638 · arxiv_version: 2107.08638v1 · doi: 10.48550/arxiv.2107.08638 · pith_short_12: AE6CBT22G2UY · pith_short_16: AE6CBT22G2UYOZED · pith_short_8: AE6CBT22

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/AE6CBT22G2UYOZEDZ6ZGV63R35 \
  | 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: 013c20cf5a36a9876483cfb26afb71df6758b4a2abfcd8a6b70fa92ac4a58555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f2406792610c81adc8d5b1f6136ac669f3e0b64ef4db410be5d3286790481c6",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-19T06:17:36Z",
    "title_canon_sha256": "082752b67c6fdd8e30fafb06eaf3f463c7b9a860efea70f21a17e5fbcb1effe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08638",
    "kind": "arxiv",
    "version": 1
  }
}