Pith Number

pith:NGRZKTVH

pith:2026:NGRZKTVHYUVWYINSKLSVSBJY44

not attested not anchored not stored refs pending

Cusp Formation in Merging Black Hole Horizons

Badri Krishnan, Daniel Pook-Kolb, Shilpa Kastha, Stamatis Vretinaris

Cusps form on merging black hole horizons and connect the two initial black holes to the final remnant via specific mass and multipole evolution.

arxiv:2605.10874 v2 · 2026-05-11 · gr-qc

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\usepackage{pith}
\pithnumber{NGRZKTVHYUVWYINSKLSVSBJY44}

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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.

Claims

C1strongest claim

Cusps forming in such otherwise smoothly evolving horizons have been shown to play a central role in connecting the two initially separate black holes with the final remnant. We show how the mass and higher mass multipole moments behave at the cusp and suggest a phenomenological model.

C2weakest assumption

That numerical simulations can accurately track quasi-local horizons and resolve cusp formation without significant numerical artifacts or dependence on gauge choices.

C3one line summary

Numerical simulations of head-on black hole mergers reveal cusp formation on horizons, with mass and multipole moments behaving in ways that link initial and final black hole states via a phenomenological model.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T02:05:45.789022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a3954ea7c52b6c21b252e5590538e71ae53069939b76ce8a03d3a11c8ebd06

Aliases

arxiv: 2605.10874 · arxiv_version: 2605.10874v2 · doi: 10.48550/arxiv.2605.10874 · pith_short_12: NGRZKTVHYUVW · pith_short_16: NGRZKTVHYUVWYINS · pith_short_8: NGRZKTVH

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/NGRZKTVHYUVWYINSKLSVSBJY44 \
  | 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: 69a3954ea7c52b6c21b252e5590538e71ae53069939b76ce8a03d3a11c8ebd06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db536ba51cca0df6607368e733cbded7ba4892421e1851007f197abe89a7ae2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-11T17:26:04Z",
    "title_canon_sha256": "9ea44fa633c97294b92365a8672a3921f47f38feaad5d1ae37170090b8af13c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10874",
    "kind": "arxiv",
    "version": 2
  }
}