Pith Number

pith:5CZPJZUK

pith:2024:5CZPJZUKSNY3MO3CX5GO6CHF62

not attested not anchored not stored refs pending

Structure formation with primordial black holes: collisional dynamics, binaries, and gravitational waves

Antti Rantala, Fabian Schmidt, M. Sten Delos, Sam Young

arxiv:2410.01876 v3 · 2024-10-02 · astro-ph.CO · astro-ph.SR · 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{5CZPJZUKSNY3MO3CX5GO6CHF62}

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

2 papers in Pith

Multi-species Dark Matter with Warmth and Randomness

Machine Learning for Multi-messenger Probes of New Physics and Cosmology: A Review and Perspective

Receipt and verification

First computed	2026-07-05T09:43:34.754490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b2f4e68a9371b63b62bf4cef08e5f6a74e779cc534d88b8a18e3e1a0eb754c

Aliases

arxiv: 2410.01876 · arxiv_version: 2410.01876v3 · doi: 10.48550/arxiv.2410.01876 · pith_short_12: 5CZPJZUKSNY3 · pith_short_16: 5CZPJZUKSNY3MO3C · pith_short_8: 5CZPJZUK

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/5CZPJZUKSNY3MO3CX5GO6CHF62 \
  | 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: e8b2f4e68a9371b63b62bf4cef08e5f6a74e779cc534d88b8a18e3e1a0eb754c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7782b732a780ed5196abd43bde01e5c3a5545ddc8d80d66b29f7f39e1c6dad3a",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-10-02T18:00:00Z",
    "title_canon_sha256": "f7a67144cb02d38cdc15ee3298831efc517e905550468a6171ee083a1ea137fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.01876",
    "kind": "arxiv",
    "version": 3
  }
}