Pith Number

pith:H33IGNOZ

pith:2026:H33IGNOZRGYSHSB4NQTJSLWK5S

not attested not anchored not stored refs pending

Primordial black holes in excursion set theory: Formation probabilities, mass functions, and window functions

Daiki Saito, Hayami Iizuka, Koki Tokeshi

arxiv:2605.22789 v1 · 2026-05-21 · astro-ph.CO · 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{H33IGNOZRGYSHSB4NQTJSLWK5S}

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	2026-05-22T02:04:55.071040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef68335d989b123c83c6c26992ecaeca21e44685b43d4bf623c76cf7c3ee2b4

Aliases

arxiv: 2605.22789 · arxiv_version: 2605.22789v1 · doi: 10.48550/arxiv.2605.22789 · pith_short_12: H33IGNOZRGYS · pith_short_16: H33IGNOZRGYSHSB4 · pith_short_8: H33IGNOZ

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/H33IGNOZRGYSHSB4NQTJSLWK5S \
  | 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: 3ef68335d989b123c83c6c26992ecaeca21e44685b43d4bf623c76cf7c3ee2b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42dd510174cdcf3265e59d72c554b1a37df54d96c8968da2279cda78318adb8c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-21T17:43:43Z",
    "title_canon_sha256": "1f86cfb9333855e3b42a9e4689b6df575492a74f8523300048117d22f63d940e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22789",
    "kind": "arxiv",
    "version": 1
  }
}