Pith Number

pith:F5MSWTGZ

pith:2026:F5MSWTGZVK7WUTVLVC2B2V27PG

not attested not anchored not stored refs pending

A lower bound on primordial power spectrum from halo substructure

Koji Ishiwata, Nagisa Hiroshima, Shin'ichiro Ando, Tomo Takahashi

arxiv:2607.20884 v1 · 2026-07-23 · astro-ph.CO · astro-ph.GA · 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{F5MSWTGZVK7WUTVLVC2B2V27PG}

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	2026-07-24T00:23:39.813377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f592b4cd9aabf6a4eaba8b41d575f798a29e9f2e7d6d7e2838713e1d9df4d92

Aliases

arxiv: 2607.20884 · arxiv_version: 2607.20884v1 · doi: 10.48550/arxiv.2607.20884 · pith_short_12: F5MSWTGZVK7W · pith_short_16: F5MSWTGZVK7WUTVL · pith_short_8: F5MSWTGZ

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/F5MSWTGZVK7WUTVLVC2B2V27PG \
  | 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: 2f592b4cd9aabf6a4eaba8b41d575f798a29e9f2e7d6d7e2838713e1d9df4d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce8c0eb4e34179784262781979771e5b96b3906890e75c30d79c129a15e9e71",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-23T03:18:02Z",
    "title_canon_sha256": "ef2e19c4fccaa0d22bd4fc25b0ada9c522deba13473a9ea252545c0ab8113a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20884",
    "kind": "arxiv",
    "version": 1
  }
}