Pith Number

pith:VN2TZMSB

pith:2025:VN2TZMSBLLPNFW5ZBC7HYRFQAH

not attested not anchored not stored refs pending

Evolution of a black hole cluster in full general relativity

Antonios Tsokaros, Jamie Bamber, Milton Ruiz, Stuart L. Shapiro

arxiv:2505.01495 v2 · 2025-05-02 · gr-qc · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VN2TZMSBLLPNFW5ZBC7HYRFQAH}

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

4 papers in Pith

Ringdown and lensing of triple systems

Spin-up and mass-gain in hyperbolic encounters of spinning black holes

Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters

Microlensing of fast and slow compact objects

Receipt and verification

First computed	2026-07-05T11:40:54.431591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab753cb2415aded2dbb908be7c44b001cbe89e6d529e7b6f41f467a22cb1454c

Aliases

arxiv: 2505.01495 · arxiv_version: 2505.01495v2 · doi: 10.48550/arxiv.2505.01495 · pith_short_12: VN2TZMSBLLPN · pith_short_16: VN2TZMSBLLPNFW5Z · pith_short_8: VN2TZMSB

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/VN2TZMSBLLPNFW5ZBC7HYRFQAH \
  | 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: ab753cb2415aded2dbb908be7c44b001cbe89e6d529e7b6f41f467a22cb1454c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed0860dea41d9af93ab50d3939d0757c8e584c0abc5c205521a05afcecd61f98",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-05-02T18:00:00Z",
    "title_canon_sha256": "62522790d02c8634dda634643c1f69fb7e6615d64a6f29ed886fbdcca9ab9633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01495",
    "kind": "arxiv",
    "version": 2
  }
}