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Paper Citation Record · LEDGER

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order

As of 22 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 4 inbound Pith citation observations for arXiv:2505.01278.

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

pith.paper-citation-record.v1
2505.01278 v2

Coverage vector

measured 53 of 53 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T04:31:50.282035Z

measured 57 of 57 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:27:04.856004Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T06:24:00.648283Z

Reference resolution

53 of 53 outbound references displayed

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Outbound references

Observation 78de233e-69d0-456c-b82b-ef92419956f6 · outbound

This paper cites commutator.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order commutator

Reference 1

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5b10a76c-8a5d-45c8-9efd-7bfb5683d6bf · outbound

This paper cites double-zero.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order double-zero

Reference 2

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Observation b7e8e6ff-3900-4577-8ac8-d6ce3add6fd1 · outbound

This paper cites Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries

Reference 3

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Observation f12219f4-adcd-4d0a-9686-1f30e51c3488 · outbound

This paper cites Analytical determination of the two-body gravitational interaction potential at the 4th post-Newtonian approximation.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Analytical determination of the two-body gravitational interaction potential at the 4th post-Newtonian approximation

Reference 4

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Observation fe64b364-1b4c-4bf0-84c9-b851e8ba0467 · outbound

This paper cites Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems

Reference 5

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Observation 382848d3-7447-4164-a45d-ac0254f588da · outbound

This paper cites Fourth post-Newtonian effective one-body dynamics.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Fourth post-Newtonian effective one-body dynamics

Reference 6

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Observation 8f281a61-9bdf-47db-9228-6ffb265f9d4b · outbound

This paper cites Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation

Reference 7

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Observation 7e4cd878-d3b2-4d59-b423-a4223ed549a6 · outbound

This paper cites Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order

Reference 8

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Observation fc56f88a-4316-4601-b298-c11331ae5995 · outbound

This paper cites Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order

Reference 9

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Observation 9f8b6eba-3242-4675-8c5c-8be0a6002fe3 · outbound

This paper cites Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order

Reference 10

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Observation 670f4475-4a2d-4bf2-b686-a1c4ac491988 · outbound

This paper cites Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order

Reference 11

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Observation 809cd1f5-f481-4d16-a9d0-0baf2a0460a9 · outbound

This paper cites The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution

Reference 12

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Observation 78c3b72b-7f95-45da-972e-eba8e731b8b5 · outbound

This paper cites Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian

Reference 13

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Observation 0633d22c-25fc-4d69-8e20-1e669c6a49e4 · outbound

This paper cites Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian

Reference 14

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Observation 872483cc-4973-48ce-a10b-ce6290d5832f · outbound

This paper cites Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach

Reference 15

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Observation c03a2722-656b-4040-916e-e20630e03be9 · outbound

This paper cites The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions

Reference 16

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Observation 3a8f119b-fb91-4472-b178-f4e58fc62c62 · outbound

This paper cites Sixth post-Newtonian local-in-time dynamics of binary systems.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Sixth post-Newtonian local-in-time dynamics of binary systems

Reference 17

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Observation 3f361a7a-2a53-43cf-ad5a-e0a975919225 · outbound

This paper cites Iyer and C.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Iyer and C

Reference 18

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 087ed839-ecab-45c2-8087-109f6856c39b · outbound

This paper cites Iyer and C.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Iyer and C

Reference 19

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Observation 24dfc37c-6f65-45e2-be6e-0f5781c60e1f · outbound

This paper cites Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies

Reference 20

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Observation 8c469b78-d96a-4a46-af6d-85e6eeadc520 · outbound

This paper cites Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation-reaction to 3.5 post-Newtonian order.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation-reaction to 3.5 post-Newtonian order

Reference 21

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Observation 2e52abc8-e64f-406a-ac08-8de929da2ffd · outbound

This paper cites Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order

Reference 22

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Observation 92046c19-49d2-4213-a6f2-580fdfdc2cad · outbound

This paper cites Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order

Reference 23

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Observation 1eca93ec-1a24-4245-a430-5b45bad4c6a6 · outbound

This paper cites Kidder, C.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Kidder, C

Reference 24

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Observation 71c7bf09-580e-4e73-8b81-3f94c9d50f16 · outbound

This paper cites Sch¨ afer, Post-Newtonian methods: Analytic results on the binary problem, in Mass and motion in general relativity , edited by L.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Sch¨ afer, Post-Newtonian methods: Analytic results on the binary problem, in Mass and motion in general relativity , edited by L

Reference 25

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Observation a5798fc0-8045-42ea-b295-d88313defa18 · outbound

This paper cites Innermost circular orbit of binary black holes at the third post-Newtonian approximation.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Innermost circular orbit of binary black holes at the third post-Newtonian approximation

Reference 26

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Observation cdbdcd98-5c66-4265-b790-530ac13bf6ec · outbound

This paper cites Detection template families for gravitational waves from the final stages of binary--black-hole inspirals: Nonspinning case.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Detection template families for gravitational waves from the final stages of binary--black-hole inspirals: Nonspinning case

Reference 27

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Observation cadbf8f6-f3d3-426d-b51e-0af12e2456c5 · outbound

This paper cites Gravitational Self-Force Correction to the Binding Energy of Compact Binary Systems.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Gravitational Self-Force Correction to the Binding Energy of Compact Binary Systems

Reference 28

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Observation 0cdb8c8d-06ce-4cba-b24e-c3a2fb057c43 · outbound

This paper cites Third post-Newtonian dynamics of compact binaries: Equations of motion in the center-of-mass frame.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Third post-Newtonian dynamics of compact binaries: Equations of motion in the center-of-mass frame

Reference 29

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Observation 3b25b9b7-bc51-4af5-b251-882ab4e700c3 · outbound

This paper cites Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods

Reference 30

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Observation aed224b6-dcb6-4ba5-8acb-6701a36c2a83 · outbound

This paper cites Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole

Reference 31

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Observation 8801cb7d-6438-4a65-923e-672ff7788669 · outbound

This paper cites Gravitational self force on a particle in circular orbit around a Schwarzschild black hole.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Gravitational self force on a particle in circular orbit around a Schwarzschild black hole

Reference 32

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Observation 3286b505-6599-4185-9001-e319297bc9ec · outbound

This paper cites Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole

Reference 33

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Observation 107a1f15-4bb8-4520-9b2b-c93574726089 · outbound

This paper cites Akcay, L.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Akcay, L

Reference 34

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b14c6ddf-adae-40a3-9e05-e4da7bb95696 · outbound

This paper cites Effective one-body approach to general relativistic two-body dynamics.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Effective one-body approach to general relativistic two-body dynamics

Reference 35

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no resolver link, observed 2026-08-16T04:31:50.182824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.182824Z digest=sha256:808df61e8bf1d5f836d0d1ac039a4681cd8485a2698a10003f844e5ee9edc34c

Observation f5e90ce7-4963-4093-8974-e1e983a2c5e9 · outbound

This paper cites Transition from inspiral to plunge in binary black hole coalescences.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Transition from inspiral to plunge in binary black hole coalescences

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.188210Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.188210Z digest=sha256:3b2ddd7b631cf64d23c4dbe320666390b7b9040c31db50b8b64ea41cacec0b14

Observation 623a10ba-fac8-48f9-8567-78431d7fdef7 · outbound

This paper cites Damour and A.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Damour and A

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:31:51.140129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T04:31:50.194121Z digest=sha256:27d239d812ddb17e1f02c506d7458ca8d3e6d454ee3b969e86eed3e9531d8784

Observation 70537a6e-a1d7-4692-a50c-89c0e667d5bc · outbound

This paper cites Conservative corrections to the innermost stable circular orbit (ISCO) of a Kerr black hole: a new gauge-invariant post-Newtonian ISCO condition, and the ISCO shift due to test-particle spin and the gravitational self-force.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Conservative corrections to the innermost stable circular orbit (ISCO) of a Kerr black hole: a new gauge-invariant post-Newtonian ISCO condition, and the ISCO shift due to test-particle spin and the gravitational self-force

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.199342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.199342Z digest=sha256:17e31e515c6dfab468962657d2f1fe15f069ce4e608600d2bbcc02d44436222c

Observation 537933b2-504b-41f3-bb43-75ecdc1fd72d · outbound

This paper cites Blanchet and T.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Blanchet and T

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:31:51.120727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T04:31:50.204926Z digest=sha256:0ff6e6a10a84d2ccee63d7360f6bd811cc5b10838aa8384e4529422364dee603

Observation f170a572-0505-4f63-970a-0a8a893e290c · outbound

This paper cites Blanchet and T.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Blanchet and T

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.210993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.210993Z digest=sha256:ed2d5596b7330230e65939e4e0e04267b746c6384c46c76f88402e878286af33

Observation b441989a-5ad5-42fc-800c-a4ce5b701b93 · outbound

This paper cites Tail terms in gravitational radiation reaction via effective field theory.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Tail terms in gravitational radiation reaction via effective field theory

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.216021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.216021Z digest=sha256:03768ad45857fe783bb34f6ffc1e4c762eff8c4d9cb61a27cb9e0932958ef4dd

Observation 0f71348f-a050-4098-b9c3-67ee5fcf4989 · outbound

This paper cites Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.222165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.222165Z digest=sha256:4bbe26e2b59e4a8ef43aeb5ec428e5959bc8e1ef5bb747310031e8e475ab7e3e

Observation 0c24e9e1-e589-4928-94ce-1c4f033a8f70 · outbound

This paper cites Damour and G.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Damour and G

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.227836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.227836Z digest=sha256:052be3d3dbcc8302d3a6f1d817010819f6d48d2127d8b5fc9d1acbcabeaad3d0

Observation ed907eef-7249-4e13-a7f5-721444a65b67 · outbound

This paper cites Damour and G.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Damour and G

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:31:51.075391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T04:31:50.234374Z digest=sha256:5970037532a0c11ecfb86fbcd3cbfb8020116c0f400d74497463731a86565651

Observation d35c0c4f-c293-45ea-9001-cd5434972b9d · outbound

This paper cites Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.239408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.239408Z digest=sha256:4b2484a321a8257e2701f719b4eb19c3e81e3dce80abf12e7596878c148cad3e

Observation aed27346-dc9d-4b58-b407-207a3876f6c1 · outbound

This paper cites Gradshteyn and I.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Gradshteyn and I

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:31:51.057050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T04:31:50.244869Z digest=sha256:121367b96199da48fc0239340f4fef156e8a763209e3e42f5eff0347548197c8

Observation 8b6233b8-51a1-4db4-bda0-029b4b0e7e03 · outbound

This paper cites First Law of Compact Binary Mechanics with Gravitational-Wave Tails.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order First Law of Compact Binary Mechanics with Gravitational-Wave Tails

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.249907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.249907Z digest=sha256:3642fee5ffe696e4d0f154278398e69c3ebecc3a21b84d89ccb55feadd5162fb

Observation 6f5e20e7-2199-4637-989f-56bf07e21a3b · outbound

This paper cites Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.255591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.255591Z digest=sha256:96c7617f01caa4a58ea47b3dc8ff63084f044efcfef795a6e4198d60d0144593

Observation e8da700b-dab4-4bbe-bea6-b8ccad5df0a6 · outbound

This paper cites Damour and N.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Damour and N

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:31:51.040137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T04:31:50.260772Z digest=sha256:8cc24d4bdcfe15a7fa46add98a9ec9a2f6a09ec62603c9bf1254bcc99dd041ff

Observation 983bb159-fb3d-4260-9df8-9e334f2d2744 · outbound

This paper cites Circular orbits and spin in black-hole initial data.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Circular orbits and spin in black-hole initial data

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.266630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.266630Z digest=sha256:1e79c57486802a287dc374b2d3373138c15c50e8d9a3cfda56acf68bf498c2d2

Observation 3f3c1403-1887-48d7-ad34-46f5af230146 · outbound

This paper cites The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.271829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.271829Z digest=sha256:3590f4525b759e43fc4059f63462a36869f124b256bc973e082e744020289733

Observation 6cac80c2-31e9-4b2b-8c6e-495a40b72ed0 · outbound

This paper cites Isoyama, L.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Isoyama, L

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.277191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.277191Z digest=sha256:875b08013f00ed587cb8346f3ce50b511d1490e46d8cb5f09cef9ae5694e503d

Observation 990fd29e-fd3c-47bf-beb2-4616ac0d3b0a · outbound

This paper cites Gravitational Self Force in a Schwarzschild Background and the Effective One Body Formalism.

Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order Gravitational Self Force in a Schwarzschild Background and the Effective One Body Formalism

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-16T04:31:50.282035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:31:50.282035Z digest=sha256:a1e0ea3bf637bacd153a9cfc8f2933f212b84d1cab9ccfe4cde2cf23abf38628

Pith citing papers

Observation eee627f3-f9cd-4435-8941-58276110bb78 · inbound

GW250114: testing Hawking's area law and the Kerr nature of black holes cites this paper.

GW250114: testing Hawking's area law and the Kerr nature of black holes Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order

Reference 218

Resolution
verified exact
arxiv_id, observed 2026-05-13T21:29:44.706142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-13T21:29:44.416458Z digest=sha256:6768113d47ee0fa856e05a91b61b3870ced404560fb334b8d174637f1234fe60

Observation 6245e03d-36ea-4cdd-b10c-d2e3b91528f4 · inbound

Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order cites this paper.

Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order

Reference 55

Resolution
verified exact
arxiv_id, observed 2026-05-17T22:02:08.206002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-17T22:01:50.665443Z digest=sha256:8b9d72a9c833e7029a25bc6e9bbba4852ad0bb565085568ba285776785b589c4

Observation 56ffb85a-6ec7-4d91-a150-f1a6825dd5d5 · inbound

Convergence of post-Newtonian for quasi-circular non-precessing comparable mass ratios BBHs cites this paper.

Convergence of post-Newtonian for quasi-circular non-precessing comparable mass ratios BBHs Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-21T06:24:00.649635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-21T06:22:04.929858Z digest=sha256:a784c67507a95a6c6da1a52ec99cc13143ee8770ef01069923ae8b54a0ae491c

Observation 87acb70a-7c72-41c8-b9a8-cef3333be8da · inbound

Innermost stable circular orbit (ISCO) of arbitrary-mass compact binaries with spins at the fourth post-Newtonian order cites this paper.

Innermost stable circular orbit (ISCO) of arbitrary-mass compact binaries with spins at the fourth post-Newtonian order Innermost stable circular orbit of arbitrary-mass compact binaries at fourth post-Newtonian order

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T00:27:04.856004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:27:04.856004Z digest=sha256:ecb1020da6abe14ccc8fdf7bd2ba4cc7b53e066a296589d0d660e7e781c05e87