Pith Number

pith:LZ742M7N

pith:2025:LZ742M7NP5MOKXDHONOOLGCGHO

not attested not anchored not stored refs pending

Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity

Hao-Jie Lin, Shuo Lu, Tao Zhu, Xin Zhang, Yu-Xiao Liu

Periodic orbits around black holes in an effective field theory extension of general relativity produce gravitational waveforms whose complexity increases with higher zoom numbers.

arxiv:2512.11911 v3 · 2025-12-11 · gr-qc

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\usepackage{pith}
\pithnumber{LZ742M7NP5MOKXDHONOOLGCGHO}

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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

Our analysis reveals a direct connection between the zoom-whirl orbital behavior of the small compact object and the gravitational waveforms it emits: higher zoom numbers lead to increasingly intricate waveform substructures.

C2weakest assumption

The effective field theory extension provides a physically valid modified black hole spacetime whose parameters can be treated as small corrections, and the Lagrangian formalism for neutral particle motion remains applicable without additional consistency conditions.

C3one line summary

Periodic orbits around EFTGR black holes produce gravitational waveforms whose substructures increase in complexity with higher zoom numbers.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Gravitational waves of extreme-mass-ratio inspirals in a rotating black hole with Dehnen dark matter halo

Receipt and verification

First computed	2026-06-23T01:11:59.408205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e7fcd33ed7f58e55c67735ce598463b9d18790cf40427d3c502f9da5cb89051

Aliases

arxiv: 2512.11911 · arxiv_version: 2512.11911v3 · doi: 10.48550/arxiv.2512.11911 · pith_short_12: LZ742M7NP5MO · pith_short_16: LZ742M7NP5MOKXDH · pith_short_8: LZ742M7N

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/LZ742M7NP5MOKXDHONOOLGCGHO \
  | 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: 5e7fcd33ed7f58e55c67735ce598463b9d18790cf40427d3c502f9da5cb89051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab790fa350fc6dacce7cdc44b236ba7b5916340be04cd6cb2c911c4a5a66583",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-11T01:04:43Z",
    "title_canon_sha256": "7641963d8e5af404964303166320bdb957a405d5e16e6827c5588b7f290ff29d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11911",
    "kind": "arxiv",
    "version": 3
  }
}