Paper Citation Record · LEDGER

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms

As of 11 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2501.11187.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.11187 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:37:00.188484Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T12:19:20.968569Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-15T12:20:00.338939Z

Reference resolution

34 of 34 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0c0ddade-815f-4c0e-966f-cb8df1880409 · outbound

This paper cites [9] who discussed the possibility of hot Jupiters in retrograde orbits as a result of secular three-body effects.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms [9] who discussed the possibility of hot Jupiters in retrograde orbits as a result of secular three-body effects

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.852267Z

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Observation be5b9b8a-c931-4a07-9b00-8637baf291b2 · outbound

This paper cites [20] in a similar system 7 FIG.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms [20] in a similar system 7 FIG

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.833401Z

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Observation 441f15f7-e564-4d43-8e2a-de52d6b1e93b · outbound

This paper cites and an outer star, with m3 = 0.6M⊙, A = 800 a.u.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms and an outer star, with m3 = 0.6M⊙, A = 800 a.u

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.816207Z

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Observation e458beaa-b6d9-47a5-a034-c41988d5e22f · outbound

This paper cites an unresolved cited work.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:37:00.798635Z

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Observation da7feea1-4a37-474f-9b1e-dacdc379253d · outbound

This paper cites The first system consists of an inner binary with m1 = M⊙, m2 = 10M⊙, a = 1 a.u.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms The first system consists of an inner binary with m1 = M⊙, m2 = 10M⊙, a = 1 a.u

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.779545Z

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Observation 691a78f5-63ae-4790-9cc3-fd67b223d8b8 · outbound

This paper cites and an outer body, with m3 = M⊙ and A = 14 a.u.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms and an outer body, with m3 = M⊙ and A = 14 a.u

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.761095Z

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Observation ffded3ad-a995-4e9b-bd71-3ae7b6533571 · outbound

This paper cites an unresolved cited work.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:37:00.743060Z

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Observation f274b216-0190-4301-9453-2fa6a6235d31 · outbound

This paper cites Higher-order effects in the dynamics of hierarchical triple systems. Quadrupole-squared terms.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Higher-order effects in the dynamics of hierarchical triple systems. Quadrupole-squared terms

Reference 8

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Observation ae634c49-d987-47dd-b18f-22d29e853c3b · outbound

This paper cites ground zero.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms ground zero

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.705884Z

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Observation a76fd88b-aab5-463d-a6eb-eedaba717cb4 · outbound

This paper cites The Eccentric Kozai-Lidov Effect and Its Applications.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms The Eccentric Kozai-Lidov Effect and Its Applications

Reference 10

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Observation e4c1bbc9-f4fe-442e-adad-6e1f5b0f0d90 · outbound

This paper cites Merritt, Dynamics and Evolution of Galactic Nuclei (Princeton University Press, Princeton, 2013).

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Merritt, Dynamics and Evolution of Galactic Nuclei (Princeton University Press, Princeton, 2013)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.688572Z

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Observation bc2d7c6e-fdcf-4340-92f7-8c959e6a27c5 · outbound

This paper cites Valtonen and H.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Valtonen and H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.669832Z

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Observation 034fd0bc-d0cd-4a46-855c-9c33599bc61c · outbound

This paper cites an unresolved cited work.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:37:00.652448Z

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Observation b7b66fb4-c22b-4dac-a326-c08159484254 · outbound

This paper cites an unresolved cited work.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Unresolved cited work

Reference 14

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Source-reported events for the cited work

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Observation 02061e5b-755d-4a1d-a099-bfcb18a577aa · outbound

This paper cites Poisson and C.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Poisson and C

Reference 15

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Observation cf39a2a4-38a8-4738-941b-db064056c285 · outbound

This paper cites an unresolved cited work.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T18:37:00.083617Z

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Observation 8a41dd5b-df66-4a54-99ad-17ad4b95fa73 · outbound

This paper cites Andoyer, Annales de l’Observatoire de Paris 23, A.1 (1902).

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Andoyer, Annales de l’Observatoire de Paris 23, A.1 (1902)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.546478Z

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Observation f916fe2d-ba64-438d-9613-fe3f34dedd45 · outbound

This paper cites Hot Jupiters from Secular Planet--Planet Interactions.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Hot Jupiters from Secular Planet--Planet Interactions

Reference 18

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Observation b2697b61-9921-4093-bcb5-0708b564724c · outbound

This paper cites Secular Dynamics in Hierarchical Three-Body Systems.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Secular Dynamics in Hierarchical Three-Body Systems

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T18:37:00.101463Z

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Observation 9d442a67-181c-4d3d-9b58-0ae10427d6f2 · outbound

This paper cites Computing waveforms for spinning compact binaries in quasi-eccentric orbits.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Computing waveforms for spinning compact binaries in quasi-eccentric orbits

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T18:37:00.106626Z

Source-reported events for the cited work

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Observation ed614e72-db68-4bb3-a91b-d8ea1377f917 · outbound

This paper cites Orbital flips in hierarchical triple systems: relativistic effects and third-body effects to hexadecapole order.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Orbital flips in hierarchical triple systems: relativistic effects and third-body effects to hexadecapole order

Reference 21

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Observation 5d17d30f-90ff-493b-b05f-360db0207c38 · outbound

This paper cites an unresolved cited work.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:37:00.724240Z

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Observation 5a79f34d-9813-4dee-b644-1234995fd484 · outbound

This paper cites an unresolved cited work.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:37:00.599244Z

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Observation 18636817-40aa-4913-8f96-145387b3c10e · outbound

This paper cites Algebraic and machine learning approach to hierarchical triple-star stability.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Algebraic and machine learning approach to hierarchical triple-star stability

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:37:00.368830Z

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Observation 4b81c781-163e-44f2-b9d3-6c905223cf10 · outbound

This paper cites Poincare, Bulletin Astronomique, Serie I 14, 241 (1897).

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Poincare, Bulletin Astronomique, Serie I 14, 241 (1897)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.580775Z

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Observation ed6ebe09-edb5-4bf7-942e-b2dd7bf7950b · outbound

This paper cites Tisserand, Trait´ e de M´ ecanique C´ eleste, vol.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Tisserand, Trait´ e de M´ ecanique C´ eleste, vol

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:37:00.563564Z

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Observation f2663f4a-253d-4601-b1a1-e9f06c65c798 · outbound

This paper cites Duriez, Astron.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Duriez, Astron

Reference 27

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Observation 936954d9-7057-4fea-a630-b7408b4ce485 · outbound

This paper cites REBOUND: An open-source multi-purpose N-body code for collisional dynamics.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms REBOUND: An open-source multi-purpose N-body code for collisional dynamics

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T18:37:00.152817Z

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Observation 58ca74ee-3597-43ed-aba1-08b9b88f09b0 · outbound

This paper cites Eccentricity growth and orbit flip in coplanar hierarchical three body systems.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Eccentricity growth and orbit flip in coplanar hierarchical three body systems

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T18:37:00.158616Z

Source-reported events for the cited work

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Observation 2ea1b750-db80-4b2a-9ddb-43d7827b6e57 · outbound

This paper cites Shrinking binary and planetary orbits by Kozai cycles with tidal friction.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Shrinking binary and planetary orbits by Kozai cycles with tidal friction

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T18:37:00.164520Z

Source-reported events for the cited work

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Observation a5a405bb-f946-4cd2-818f-f31eeca52aee · outbound

This paper cites Revisiting the Tertiary-induced Binary Black Hole Mergers: the Role of Superthermal Wide Tertiary Eccentricity Distributions.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Revisiting the Tertiary-induced Binary Black Hole Mergers: the Role of Superthermal Wide Tertiary Eccentricity Distributions

Reference 31

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This paper cites an unresolved cited work.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms Unresolved cited work

Reference 32

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Observation 4ef00f83-f55c-4935-b412-eb731e4db56d · outbound

This paper cites Higher-order effects in the dynamics of hierarchical triple systems. II. Second-order and dotriacontapole-order effects.

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T18:37:00.181981Z

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Observation 001ef08e-8697-4ae4-befa-9493ac0bb178 · outbound

This paper cites IAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits.

Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms IAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T18:37:00.188484Z

Source-reported events for the cited work

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Pith citing papers

Observation 3c6e61d3-2400-4707-a64b-1aa8fdd4075f · inbound

Shaving off soft hairs and the black hole image memory effect cites this paper.

Shaving off soft hairs and the black hole image memory effect Higher-order effects in the dynamics of hierarchical triple systems. III. Astrophysical implications of second-order and dotriacontapole terms

Reference 63

Resolution: verified exact; arxiv_id, observed 2026-05-15T12:20:00.341399Z

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