Pith Number

pith:YIWGQBV3

pith:2026:YIWGQBV357Y4VSPPHHWXZ65ATZ

not attested not anchored not stored refs pending

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

Antonio J. Iovino, Miguel A. Sabogal, Sunny Vagnozzi

arxiv:2606.31362 v1 · 2026-06-30 · astro-ph.CO · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIWGQBV357Y4VSPPHHWXZ65ATZ}

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	2026-07-01T01:18:00.573551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22c6806bbeff1cac9ef39ed7cfba09e5475ae9f3fb58c9cf9a9c2bbe73b285a

Aliases

arxiv: 2606.31362 · arxiv_version: 2606.31362v1 · doi: 10.48550/arxiv.2606.31362 · pith_short_12: YIWGQBV357Y4 · pith_short_16: YIWGQBV357Y4VSPP · pith_short_8: YIWGQBV3

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/YIWGQBV357Y4VSPPHHWXZ65ATZ \
  | 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: c22c6806bbeff1cac9ef39ed7cfba09e5475ae9f3fb58c9cf9a9c2bbe73b285a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582b98f57747d87ef5bfd22963ed92576d65ea203af4bcfe3e74dbc7a760343f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-30T08:57:18Z",
    "title_canon_sha256": "02830e8a6cbc8ab096d34aef71ad4c67030fcd329332f64c7f90d91fab8bfcc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31362",
    "kind": "arxiv",
    "version": 1
  }
}