Pith Number

pith:VCKZPAOC

pith:2022:VCKZPAOCTQD7U7MJRXZJKGWKJN

not attested not anchored not stored refs pending

Effect of a High-Precision Semi-Analytical Mass Function on the Merger Rate of Primordial Black Holes in Dark Matter Halos

Antonino Del Popolo, Saeed Fakhry

arxiv:2212.08646 v2 · 2022-12-16 · 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{VCKZPAOCTQD7U7MJRXZJKGWKJN}

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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

Merger rate of initially clustered primordial black holes for the two-body channel

Receipt and verification

First computed	2026-07-05T05:48:26.048758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8959781c29c07fa7d898df2951aca4b417b377c5d7622e2b547e4b148c227cd

Aliases

arxiv: 2212.08646 · arxiv_version: 2212.08646v2 · doi: 10.48550/arxiv.2212.08646 · pith_short_12: VCKZPAOCTQD7 · pith_short_16: VCKZPAOCTQD7U7MJ · pith_short_8: VCKZPAOC

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/VCKZPAOCTQD7U7MJRXZJKGWKJN \
  | 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: a8959781c29c07fa7d898df2951aca4b417b377c5d7622e2b547e4b148c227cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcad034f30477b4ec2e859cb2b45a935624cca6fbc9bd8e8693a01115d5af88b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-12-16T18:43:11Z",
    "title_canon_sha256": "365003c3437290ea7412c0d75554309f2c8e276768df8457a98917cf25500216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.08646",
    "kind": "arxiv",
    "version": 2
  }
}