Pith Number

pith:3RZP73HQ

pith:2019:3RZP73HQ7YEGXASUKZHOZ5S3RK

not attested not anchored not stored refs pending

Clustering of primordial black holes formed in a matter-dominated epoch

Kazunori Kohri, Shuichiro Yokoyama, Takahiko Matsubara, Takahiro Terada

arxiv:1909.04053 v3 · 2019-09-09 · 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{3RZP73HQ7YEGXASUKZHOZ5S3RK}

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

Hunting Dark Matter with the Einstein Telescope

Receipt and verification

First computed	2026-07-05T00:29:10.209842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc72ffecf0fe086b8254564eecf65b8a83970acdd56b525ddc94ad87d817d259

Aliases

arxiv: 1909.04053 · arxiv_version: 1909.04053v3 · doi: 10.48550/arxiv.1909.04053 · pith_short_12: 3RZP73HQ7YEG · pith_short_16: 3RZP73HQ7YEGXASU · pith_short_8: 3RZP73HQ

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/3RZP73HQ7YEGXASUKZHOZ5S3RK \
  | 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: dc72ffecf0fe086b8254564eecf65b8a83970acdd56b525ddc94ad87d817d259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ae440590161cf3d6900f81e261bb8b017cf1b11b38822e0b887b010b40afc0",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-09-09T18:00:04Z",
    "title_canon_sha256": "0beb4822f5e64e1334d4dae7beafd089bfedd1bced3ae8a63472c28340e7d185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04053",
    "kind": "arxiv",
    "version": 3
  }
}