Pith Number

pith:B4DYFARN

pith:2026:B4DYFARNDY33PAAYCB5W5TTN3S

not attested not anchored not stored refs pending

Constant-Roll Inflation: Analytical Formulae for Power Spectrum and Implications for Induced Gravitational Waves

Hayato Motohashi, Jianing Wang, Shi Pi, Yuichiro Tada

arxiv:2606.24111 v1 · 2026-06-23 · 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{B4DYFARNDY33PAAYCB5W5TTN3S}

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.

Receipt and verification

First computed	2026-06-24T01:14:41.347558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f0782822d1e37b78018107b6ece6ddcaeae6ed64e0b15c639e2d90281ebb63f

Aliases

arxiv: 2606.24111 · arxiv_version: 2606.24111v1 · doi: 10.48550/arxiv.2606.24111 · pith_short_12: B4DYFARNDY33 · pith_short_16: B4DYFARNDY33PAAY · pith_short_8: B4DYFARN

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/B4DYFARNDY33PAAYCB5W5TTN3S \
  | 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: 0f0782822d1e37b78018107b6ece6ddcaeae6ed64e0b15c639e2d90281ebb63f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec85ba5c63ee39be60106bab5ab46f59eb5b4a53d11c8cbbb08562251e8a5fd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-23T03:56:37Z",
    "title_canon_sha256": "956cabab5645d6663008e3d541fecc1371f141be156edffc4fe60047f9e64850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24111",
    "kind": "arxiv",
    "version": 1
  }
}