Pith Number

pith:VQQM4MXM

pith:2020:VQQM4MXMC33JU3EP2QRCY3YUZZ

not attested not anchored not stored refs pending

LIGO/Virgo black holes and dark matter: The effect of spatial clustering

Albert Sanglas, Nikolaos Triantafyllou, Vicente Atal

arxiv:2007.07212 v4 · 2020-07-14 · 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{VQQM4MXMC33JU3EP2QRCY3YUZZ}

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

3 papers in Pith

Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters

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

Hunting Dark Matter with the Einstein Telescope

Receipt and verification

First computed	2026-07-05T01:59:13.108058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac20ce32ec16f69a6c8fd4222c6f14ce4e6f3efbec2393a6b46397bfeef89c45

Aliases

arxiv: 2007.07212 · arxiv_version: 2007.07212v4 · doi: 10.48550/arxiv.2007.07212 · pith_short_12: VQQM4MXMC33J · pith_short_16: VQQM4MXMC33JU3EP · pith_short_8: VQQM4MXM

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/VQQM4MXMC33JU3EP2QRCY3YUZZ \
  | 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: ac20ce32ec16f69a6c8fd4222c6f14ce4e6f3efbec2393a6b46397bfeef89c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1bd7cfc9f4687b7e4b115eb2da6629aaff6068c3946b8c4fbcacbf7d7695de0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-07-14T17:31:17Z",
    "title_canon_sha256": "3c78f90b0296748cc776c0e0343525c82aaf19e5e7265d982808b32a833503d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.07212",
    "kind": "arxiv",
    "version": 4
  }
}