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Paper Citation Record · LEDGER

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets

As of 9 August 2026, this Paper Citation Record lists 100 of 104 outbound references and 7 inbound Pith citation observations for arXiv:2505.14875.

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

pith.paper-citation-record.v1
2505.14875 v2

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Source: paper_references, paper_reference_links, observed 2026-08-04T22:42:34.717712Z

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Source: arxiv_reference, observed 2026-05-22T12:41:33.112732Z

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Outbound references

Observation 414c3951-8e27-4428-9bf2-7536106d7330 · outbound

This paper cites Therefore, this parameter can always be compared across models and catalog sizes.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Therefore, this parameter can always be compared across models and catalog sizes

Reference 1

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Observation 80148ee9-be6a-4e82-945e-35f377824e01 · outbound

This paper cites Those models have been introduced by Ref.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Those models have been introduced by Ref

Reference 2

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Observation 4e359f32-e6b3-464f-a4cf-11e9f2de70f9 · outbound

This paper cites This introduces another hyper parameter that we call n.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets This introduces another hyper parameter that we call n

Reference 3

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Observation 81558779-2cf2-4293-9f94-4be5124e6d74 · outbound

This paper cites Observation of Gravitational Waves from a Binary Black Hole Merger.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Observation of Gravitational Waves from a Binary Black Hole Merger

Reference 4

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Observation 45a8765d-794d-4aed-9c25-6db0400f3e7f · outbound

This paper cites Advanced LIGO.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Advanced LIGO

Reference 5

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Observation 96060028-d5d7-4cd7-ae86-c64f340ac12c · outbound

This paper cites Advanced Virgo: a 2nd generation interferometric gravitational wave detector.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Advanced Virgo: a 2nd generation interferometric gravitational wave detector

Reference 6

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Observation c89d5f3f-d526-4da6-829b-0358665206c2 · outbound

This paper cites Interferometer design of the KAGRA gravitational wave detector.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Interferometer design of the KAGRA gravitational wave detector

Reference 7

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Observation 20dd66fd-05db-4571-893b-b6d025ae4963 · outbound

This paper cites 3-OGC: Catalog of gravitational waves from compact-binary mergers.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets 3-OGC: Catalog of gravitational waves from compact-binary mergers

Reference 9

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Observation 790f0438-4607-46ed-a154-ff8c498e1632 · outbound

This paper cites New binary black hole mergers in the LIGO--Virgo O3a data.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets New binary black hole mergers in the LIGO--Virgo O3a data

Reference 10

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Observation c05c76d8-2e06-4c1a-b3e9-3a4cbdb54289 · outbound

This paper cites org/superevents/public/O4/ (2024).

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets org/superevents/public/O4/ (2024)

Reference 11

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Observation 6d9d36a6-f376-4c57-aa6f-a65f38d8ea5c · outbound

This paper cites docs.ligo.org/plan/ (2025).

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets docs.ligo.org/plan/ (2025)

Reference 12

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Observation f7406567-e659-4461-a710-abf3e8a13848 · outbound

This paper cites Formation channels of single and binary stellar-mass black holes.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Formation channels of single and binary stellar-mass black holes

Reference 13

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Observation 125948f2-ae95-45c2-865a-5c94b2071426 · outbound

This paper cites Observed Gravitational-Wave Populations.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Observed Gravitational-Wave Populations

Reference 14

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This paper cites Constraining the orbital eccentricity of inspiralling compact binary systems with Advanced LIGO.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Constraining the orbital eccentricity of inspiralling compact binary systems with Advanced LIGO

Reference 15

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Observation 7e89497b-b72e-4070-8eb0-221f4c57e8aa · outbound

This paper cites Belczynski, V.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Belczynski, V

Reference 16

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Observation 6576ffe3-58d5-4df3-8a64-fc6c96c0aefb · outbound

This paper cites Binary Population and Spectral Synthesis Version 2.1: construction, observational verification and new results.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Binary Population and Spectral Synthesis Version 2.1: construction, observational verification and new results

Reference 17

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This paper cites POSYDON: A General-Purpose Population Synthesis Code with Detailed Binary-Evolution Simulations.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets POSYDON: A General-Purpose Population Synthesis Code with Detailed Binary-Evolution Simulations

Reference 18

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This paper cites Rapid stellar and binary population synthesis with COMPAS.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Rapid stellar and binary population synthesis with COMPAS

Reference 19

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Observation b4b99960-a10a-480e-bc3a-83d796a5f219 · outbound

This paper cites Merging black hole binaries with the SEVN code.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Merging black hole binaries with the SEVN code

Reference 20

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This paper cites Modeling Dense Star Clusters in the Milky Way and Beyond with the Cluster Monte Carlo Code.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Modeling Dense Star Clusters in the Milky Way and Beyond with the Cluster Monte Carlo Code

Reference 21

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The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Measuring the star formation rate with gravitational waves from binary black holes

Reference 22

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This paper cites Non-parametric inference of the population of compact binaries from gravitational wave observations using binned Gaussian processes.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Non-parametric inference of the population of compact binaries from gravitational wave observations using binned Gaussian processes

Reference 23

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Observation 5f37e8b5-c65e-421e-9e40-39fff229808c · outbound

This paper cites A Parameter-Free Tour of the Binary Black Hole Population.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets A Parameter-Free Tour of the Binary Black Hole Population

Reference 24

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This paper cites No need to know: astrophysics-free gravitational-wave cosmology.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets No need to know: astrophysics-free gravitational-wave cosmology

Reference 25

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This paper cites Ain't No Mountain High Enough: Semi-Parametric Modeling of LIGO-Virgos Binary Black Hole Mass Distribution.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Ain't No Mountain High Enough: Semi-Parametric Modeling of LIGO-Virgos Binary Black Hole Mass Distribution

Reference 26

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This paper cites Cover Your Basis: Comprehensive Data-Driven Characterization of the Binary Black Hole Population.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Cover Your Basis: Comprehensive Data-Driven Characterization of the Binary Black Hole Population

Reference 27

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This paper cites Searching for structure in the binary black hole spin distribution.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Searching for structure in the binary black hole spin distribution

Reference 28

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This paper cites Nonparametric analysis of correlations in the binary black hole population with LIGO-Virgo-KAGRA data.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Nonparametric analysis of correlations in the binary black hole population with LIGO-Virgo-KAGRA data

Reference 29

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This paper cites Model-independent inference on compact-binary observations.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Model-independent inference on compact-binary observations

Reference 30

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This paper cites PixelPop: High Resolution Nonparameteric Inference of Gravitational-Wave Populations in Multiple Dimensions.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets PixelPop: High Resolution Nonparameteric Inference of Gravitational-Wave Populations in Multiple Dimensions

Reference 31

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This paper cites Is there an excess of black holes around $20 M_{\odot}$? Optimising the complexity of population models with the use of reversible jump MCMC.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Is there an excess of black holes around $20 M_{\odot}$? Optimising the complexity of population models with the use of reversible jump MCMC

Reference 32

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This paper cites The Emergence of Structure in the Binary Black Hole Mass Distribution.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets The Emergence of Structure in the Binary Black Hole Mass Distribution

Reference 33

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This paper cites Cosmic Cousins: Identification of a Subpopulation of Binary Black Holes Consistent with Isolated Binary Evolution.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Cosmic Cousins: Identification of a Subpopulation of Binary Black Holes Consistent with Isolated Binary Evolution

Reference 34

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This paper cites Binary vision: The merging black hole binary mass distribution via iterative density estimation.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Binary vision: The merging black hole binary mass distribution via iterative density estimation

Reference 35

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This paper cites Use of gravitational waves to probe the formation channels of compact binaries.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Use of gravitational waves to probe the formation channels of compact binaries

Reference 36

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Observation 4fd98f72-09b1-484a-ad21-b683f4ad07dc · outbound

This paper cites Measuring the binary black hole mass spectrum with an astrophysically motivated parameterization.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Measuring the binary black hole mass spectrum with an astrophysically motivated parameterization

Reference 37

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source=pdf_text observed=2026-08-07T15:36:22.875140Z digest=sha256:8f580425c2d3b4b94c4202e32dc74e39aa33ba6b7c020eaae364807c38e4e777

Observation 71d93a96-a757-4a17-8aba-9cdd29e915fa · outbound

This paper cites Determining the population properties of spinning black holes.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Determining the population properties of spinning black holes

Reference 38

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source=pdf_text observed=2026-08-07T15:36:22.981168Z digest=sha256:fa4a392630431de8bd3fd3be64442a1320d3fcbe74f11cb15a27ab042ed1affb

Observation 510b7ba8-17e7-44dd-8189-9e40c25a1280 · outbound

This paper cites Does the Black Hole Merger Rate Evolve with Redshift?.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Does the Black Hole Merger Rate Evolve with Redshift?

Reference 39

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source=pdf_text observed=2026-08-07T15:36:23.071135Z digest=sha256:cbfe408bc2fee724155f8e1077f2e7f22d8944c12c2c43cf286b847e7803a950

Observation 5c2a6288-f8ee-49a7-847c-f32ad09a9961 · outbound

This paper cites Who Ordered That? Unequal-Mass Binary Black Hole Mergers Have Larger Effective Spins.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Who Ordered That? Unequal-Mass Binary Black Hole Mergers Have Larger Effective Spins

Reference 40

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source=pdf_text observed=2026-08-07T15:36:23.129557Z digest=sha256:c8c4e4c959ffe3037a8e5313ce75b82159790138d39e8799acacca1655753a20

Observation 77243710-0934-4cbf-b521-83e265272af8 · outbound

This paper cites The binary black hole spin distribution likely broadens with redshift.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets The binary black hole spin distribution likely broadens with redshift

Reference 41

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source=pdf_text observed=2026-08-07T15:36:23.221235Z digest=sha256:05a3c9164f4f5973734436f6ff47e13336a7221b07777ed88302a81b1942b927

Observation ee14b4e0-e974-469f-93f8-08796ce42662 · outbound

This paper cites Population Properties of Compact Objects from the Second LIGO-Virgo Gravitational-Wave Transient Catalog.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Population Properties of Compact Objects from the Second LIGO-Virgo Gravitational-Wave Transient Catalog

Reference 42

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source=pdf_text observed=2026-08-07T15:36:23.349030Z digest=sha256:2cbf7e51c1ee5d9a12ed875449602a4543b3ed4dab421b23fda487c9470d08db

Observation 71302c4f-c174-4992-a33f-2103b5fe0886 · outbound

This paper cites The population of merging compact binaries inferred using gravitational waves through GWTC-3.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets The population of merging compact binaries inferred using gravitational waves through GWTC-3

Reference 43

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source=pdf_text observed=2026-08-07T15:36:23.457198Z digest=sha256:2af84c171749d93ced6bdf935117f5539ade247a238b75dd990ec9969ca78c16

Observation a9f6e14f-f396-434f-9765-64511ca9059e · outbound

This paper cites One Channel to Rule Them All? Constraining the Origins of Binary Black Holes using Multiple Formation Pathways.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets One Channel to Rule Them All? Constraining the Origins of Binary Black Holes using Multiple Formation Pathways

Reference 44

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source=pdf_text observed=2026-08-07T15:36:23.572905Z digest=sha256:da434ddcf17482dee06f3f5872fe85a9fa7f4a048ab7df342d69760c5aac5cf7

Observation fec97f27-16e6-4ee8-85aa-2ffd2f1d165d · outbound

This paper cites Joint constraints on the field-cluster mixing fraction, common envelope efficiency, and globular cluster radii from a population of binary hole mergers via deep learning.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Joint constraints on the field-cluster mixing fraction, common envelope efficiency, and globular cluster radii from a population of binary hole mergers via deep learning

Reference 45

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source=pdf_text observed=2026-08-07T15:36:23.724544Z digest=sha256:f7e1a854195cd626d85df788cf3596f238e50027f9b3a03ce23897195f62889b

Observation f9b68d6a-084e-48e9-9e80-423d6eab02d2 · outbound

This paper cites Machine-learning interpolation of population-synthesis simulations to interpret gravitational-wave observations: a case study.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Machine-learning interpolation of population-synthesis simulations to interpret gravitational-wave observations: a case study

Reference 46

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source=pdf_text observed=2026-08-07T15:36:23.911613Z digest=sha256:e00da6ad02c905a7b489220286b8a441340ecd7dfa6f99e320ec9d0ed04c527d

Observation da2f92a5-dd14-4f12-8532-4b811a293fdd · outbound

This paper cites Exploring the evolution of gravitational-wave emitters with efficient emulation: Constraining the origins of binary black holes using normalising flows.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Exploring the evolution of gravitational-wave emitters with efficient emulation: Constraining the origins of binary black holes using normalising flows

Reference 47

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source=pdf_text observed=2026-08-07T15:36:23.995682Z digest=sha256:40d2bdd5ed2e8bb308b19d90b60f138dcb8a587388818a2da1bff69da2f02d2b

Observation 0ecb2cea-e2ff-4c33-a83d-ee19a0fc24cf · outbound

This paper cites Constraining Population III stellar demographics with next-generation gravitational-wave observatories.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Constraining Population III stellar demographics with next-generation gravitational-wave observatories

Reference 48

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source=pdf_text observed=2026-08-07T15:36:24.110957Z digest=sha256:c8825cd9dde9692840bd53d6f5c90b3ab2edddb4b0e0fe5fc281f6e0e2dc86e2

Observation 73d2cac0-4e8e-4c79-9b56-b67618f40f10 · outbound

This paper cites Searching for a subpopulation of primordial black holes in LIGO/Virgo gravitational-wave data.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Searching for a subpopulation of primordial black holes in LIGO/Virgo gravitational-wave data

Reference 49

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source=pdf_text observed=2026-08-07T15:36:24.241697Z digest=sha256:c3c2fd436f376ae09dfea4703fe91aa4423fe90bbde06eeb7a861135e1f1de25

Observation 21291fa0-7398-4a5a-9971-66c1566f9e7f · outbound

This paper cites What You Don't Know Can Hurt You: Use and Abuse of Astrophysical Models in Gravitational-wave Population Analyses.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets What You Don't Know Can Hurt You: Use and Abuse of Astrophysical Models in Gravitational-wave Population Analyses

Reference 50

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source=pdf_text observed=2026-08-07T15:36:24.407595Z digest=sha256:84532f5da7492e3063e0fb4dd151a5e8070097d369e1314c9b2b551e7c49a6b9

Observation 3b42d56b-606d-4adc-a8fa-f4c563168a04 · outbound

This paper cites Probing Correlations in the Binary Black Hole Population with Flexible Models.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Probing Correlations in the Binary Black Hole Population with Flexible Models

Reference 51

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source=pdf_text observed=2026-08-07T15:36:24.580530Z digest=sha256:32dce4e75ff0afc0ea94b27cf52df90e2a1da19e9c8c838771542c06369fffab

Observation a99516a3-bea6-4c85-b398-056cbcd6160c · outbound

This paper cites Resonant-plane locking and spin alignment in stellar-mass black-hole binaries: a diagnostic of compact-binary formation.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Resonant-plane locking and spin alignment in stellar-mass black-hole binaries: a diagnostic of compact-binary formation

Reference 52

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source=pdf_text observed=2026-08-07T15:36:24.626555Z digest=sha256:5393a15712968f942532a38c8b61906b645edb538096d17ea51aee7def7289e2

Observation cdeea92e-8aa8-462e-8aa2-a275d81eefbd · outbound

This paper cites Distinguishing black-hole spin-orbit resonances by their gravitational-wave signatures.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Distinguishing black-hole spin-orbit resonances by their gravitational-wave signatures

Reference 53

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source=pdf_text observed=2026-08-07T15:36:24.689343Z digest=sha256:39d42bfc23ca1a4dd7df444ebe337bd73f9b249b4f8286600710bf3f6be1f041

Observation 1c7257d8-adb6-4c34-be42-0d0df739d454 · outbound

This paper cites Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves

Reference 54

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source=pdf_text observed=2026-08-07T15:36:24.766885Z digest=sha256:2679a51375204e0e3d28a3af97b97656377869b5aea7fa218192ecfc218c7713

Observation d4485817-b61f-4d83-87ae-598c8f93fb73 · outbound

This paper cites Gravitational-wave population inference at past time infinity.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Gravitational-wave population inference at past time infinity

Reference 55

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source=pdf_text observed=2026-08-07T15:36:24.858495Z digest=sha256:877cc6c59dac6d92c372fb78bc3f6ce528219ab9ab94996449eaa7082bf13081

Observation 8963ff37-f747-487f-9c70-7d9fbead24ea · outbound

This paper cites Hints of spin-orbit resonances in the binary black hole population.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Hints of spin-orbit resonances in the binary black hole population

Reference 56

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source=pdf_text observed=2026-08-07T15:36:24.927174Z digest=sha256:01a0114b6fafbf528eb257e8b3e8fb6a161d2028e551c3bc2987ec52cc391800

Observation 5ed88a8b-d4c0-4c6f-8c38-9e524bd36d50 · outbound

This paper cites Measuring binary black hole orbital-plane spin orientations.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Measuring binary black hole orbital-plane spin orientations

Reference 57

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verified exact
local_arxiv, observed 2026-08-07T15:36:30.434676Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:36:24.999091Z digest=sha256:db5cd556f4c29553ef2062f6197018b912dace7efdc2e9f93f3d4cf00f312242

Observation e335fde6-e495-4227-9faa-724fda3ee7b7 · outbound

This paper cites Probing Spin-Orbit Resonances with the Binary Black Hole Population.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Probing Spin-Orbit Resonances with the Binary Black Hole Population

Reference 58

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source=pdf_text observed=2026-08-07T15:36:25.068274Z digest=sha256:6b27c00162aebbb71c24397488994555b7e34876df80a0e00a347de36ae37c11

Observation 74d4a001-0957-493a-a762-128b590497f2 · outbound

This paper cites Distribution of Effective Spins and Masses of Binary Black Holes from the LIGO and Virgo O1-O3a Observing Runs.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Distribution of Effective Spins and Masses of Binary Black Holes from the LIGO and Virgo O1-O3a Observing Runs

Reference 59

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source=pdf_text observed=2026-08-07T15:36:25.162452Z digest=sha256:8b9902bd48219d5075bde5126df3a5a793cfdec736c68c0ac900cce08cece6d3

Observation 664d3008-a86f-4831-8825-34739afe08ec · outbound

This paper cites Hierarchical analysis of gravitational-wave measurements of binary black hole spin-orbit misalignments.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Hierarchical analysis of gravitational-wave measurements of binary black hole spin-orbit misalignments

Reference 60

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source=pdf_text observed=2026-08-07T15:36:25.216633Z digest=sha256:3308d8e45a6bb250923092c377e8d9bdf6953a42460ee014c7fe0f4eabf3b0c6

Observation 31b6072e-75d8-43b5-ab19-288cf279892f · outbound

This paper cites Binary black hole spins: model selection with GWTC-3.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Binary black hole spins: model selection with GWTC-3

Reference 61

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verified exact
local_arxiv, observed 2026-08-07T15:36:30.260791Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:36:25.283844Z digest=sha256:3259ff4e0024deee1add3585812e2296d7ab5cc2728e9e4eb754464be48ad21e

Observation 793bd523-7166-4d4e-9140-bf114e4f3521 · outbound

This paper cites Illuminating Black Hole Binary Formation Channels with Spins in Advanced LIGO.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Illuminating Black Hole Binary Formation Channels with Spins in Advanced LIGO

Reference 62

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source=pdf_text observed=2026-08-07T15:36:25.364545Z digest=sha256:3ad79673d5adf6bd79ebf0327105fe3e313d025e1d75b14a7b4b4e22e86ddcf9

Observation d568fdb3-af1f-4292-9fa5-e2a7b07aa50f · outbound

This paper cites The role of mass transfer and common envelope evolution in the formation of merging binary black holes.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets The role of mass transfer and common envelope evolution in the formation of merging binary black holes

Reference 63

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source=pdf_text observed=2026-08-07T15:36:25.444206Z digest=sha256:fa03b1a788a20271fc183099a1df60cc6b93684a2f45fcb60e7ff58443db3a3a

Observation 7123fc6c-6764-4074-87c1-adcfdc5f42b7 · outbound

This paper cites Theoretical Black Hole Mass Distributions.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Theoretical Black Hole Mass Distributions

Reference 64

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source=pdf_text observed=2026-08-07T15:36:25.488793Z digest=sha256:e5b04dd16259d75b49fe14acb47f78b828212846b297ca73d4cdf6f6d4adf033

Observation e4e47522-77d2-4be8-abb4-9ae1209531ed · outbound

This paper cites Kalogera, Astrophys.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Kalogera, Astrophys

Reference 65

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source=pdf_text observed=2026-08-07T15:36:25.575956Z digest=sha256:6b2705fa72a4682100d8a9253606b3b9280f6132590d5cbcc09887c8ecd1d3e4

Observation 2207f820-99cf-459d-9c30-5cd635dade13 · outbound

This paper cites Compact Remnant Mass Function: Dependence on the Explosion Mechanism and Metallicity.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Compact Remnant Mass Function: Dependence on the Explosion Mechanism and Metallicity

Reference 66

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source=pdf_text observed=2026-08-07T15:36:25.652972Z digest=sha256:58ad527f98c6c67ce05317c494c6c79c42ea0e72cfa548407a5f23a47019943d

Observation e3cb9e50-bc42-454b-a766-673c46f69abe · outbound

This paper cites Spin it as you like: the (lack of a) measurement of the spin tilt distribution with LIGO-Virgo-KAGRA binary black holes.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Spin it as you like: the (lack of a) measurement of the spin tilt distribution with LIGO-Virgo-KAGRA binary black holes

Reference 67

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source=pdf_text observed=2026-08-07T15:36:25.695206Z digest=sha256:f822aef839c794a22aa2a1d49a515fd5b078ac2209668c15a42e9f9a8e974858

Observation c78c5314-08a4-4f8f-975a-34f3d1280f30 · outbound

This paper cites Resolving the Stellar-Collapse and Hierarchical-Merger origins of the Coalescing Black Holes.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Resolving the Stellar-Collapse and Hierarchical-Merger origins of the Coalescing Black Holes

Reference 68

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source=pdf_text observed=2026-08-07T15:36:25.744248Z digest=sha256:ac6cda3fea8e54fcbc28fd01a6924b55df019df51352677d1ba0c3bb6181f56c

Observation efb06aa4-6188-4167-a97e-19ad227819ef · outbound

This paper cites Gravitational-Wave Astronomy with Inspiral Signals of Spinning Compact-Object Binaries.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Gravitational-Wave Astronomy with Inspiral Signals of Spinning Compact-Object Binaries

Reference 69

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source=pdf_text observed=2026-08-07T15:36:25.847632Z digest=sha256:7e510d31c148dbc6a78c7106742636cc2695bcceae949c2c8e3d53a4493d7837

Observation 9724a889-791c-4fa4-b36f-921f0d04bbec · outbound

This paper cites Parameter estimation for signals from compact binary inspirals injected into LIGO data.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Parameter estimation for signals from compact binary inspirals injected into LIGO data

Reference 70

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verified exact
local_arxiv, observed 2026-08-07T15:36:29.839290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:36:25.898522Z digest=sha256:31c2f8b72ef97531f83009b27d1e49d78dc36c37751cb1ec20c3cf4ba54526ae

Observation 40ca391f-5cf7-4dfb-ad6f-325d6e54d5d8 · outbound

This paper cites Measuring the spin of black holes in binary systems using gravitational waves.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Measuring the spin of black holes in binary systems using gravitational waves

Reference 71

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source=pdf_text observed=2026-08-07T15:36:25.931897Z digest=sha256:54eca7d308dde85b31020f2506fb3e6aee670222e7ac7cbdf42a91d75d0de1b6

Observation ade350a0-f51d-4585-b2a8-e01dbacc089c · outbound

This paper cites Can we measure individual black-hole spins from gravitational-wave observations?.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Can we measure individual black-hole spins from gravitational-wave observations?

Reference 72

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Observation 397ad83f-3ec0-45cb-bebb-b3c905b2e6ef · outbound

This paper cites Parameter estimation for heavy binary-black holes with networks of second-generation gravitational-wave detectors.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Parameter estimation for heavy binary-black holes with networks of second-generation gravitational-wave detectors

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Observation 9579ee13-cc7b-43dc-ba98-854171e3b2b9 · outbound

This paper cites Dhani, S.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Dhani, S

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Observation f92c84b4-1aaf-4f6c-ab6d-c574f7f0c0a3 · outbound

This paper cites Gravitational waves carry information beyond effective spin parameters but it is hard to extract.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Gravitational waves carry information beyond effective spin parameters but it is hard to extract

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Observation 1f60e751-0bae-4c30-8d80-cbba3a12bfce · outbound

This paper cites Wysocki, J.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Wysocki, J

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Observation b6e4e661-e74a-45df-9b5b-412c4a1bb501 · outbound

This paper cites an unresolved cited work.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Unresolved cited work

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Observation 6644d570-baf7-49eb-bb24-00a5f7d42598 · outbound

This paper cites DAGnabbit! Ensuring Consistency between Noise and Detection in Hierarchical Bayesian Inference.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets DAGnabbit! Ensuring Consistency between Noise and Detection in Hierarchical Bayesian Inference

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Observation 82b6c486-266b-4ecb-9b92-51e7061ee439 · outbound

This paper cites Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy

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source=pdf_text observed=2026-08-07T15:36:26.457731Z digest=sha256:b930501c101cbace3104e723e8947ae24f28ba563b303170646d7e9cf1544638

Observation a0a1a2cd-137d-408d-81a2-dda91475779f · outbound

This paper cites Bayesian inference for compact binary coalescences with BILBY: Validation and application to the first LIGO--Virgo gravitational-wave transient catalogue.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Bayesian inference for compact binary coalescences with BILBY: Validation and application to the first LIGO--Virgo gravitational-wave transient catalogue

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source=pdf_text observed=2026-08-07T15:36:26.511227Z digest=sha256:bff8118efed77fa3293644b477535f13e1dcfaebcf549b0fd4eed3512249c233

Observation 9a593e32-62df-4b78-87b5-e5bfe0f4628f · outbound

This paper cites Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes

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source=pdf_text observed=2026-08-07T15:36:26.588539Z digest=sha256:5b08096a9cf18959eb15747f6705bc367661388427a0860f400ac7b54228ccfa

Observation 172be8ef-c5d6-4d3a-92d0-50f40162d9e7 · outbound

This paper cites Accelerated parameter estimation in Bilby with relative binning.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Accelerated parameter estimation in Bilby with relative binning

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source=pdf_text observed=2026-08-07T15:36:26.646146Z digest=sha256:f5a2b9f0b45e72c692e9ca350ccc93402cd2988e536b8160fdcd1497dff33ef3

Observation c09352dc-2754-4f03-b82d-5b83edcf359a · outbound

This paper cites GWPopulation: Hardware agnostic population inference for compact binaries and beyond.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets GWPopulation: Hardware agnostic population inference for compact binaries and beyond

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Observation adc2573e-d258-4d39-8252-9d4a1b7d5051 · outbound

This paper cites an unresolved cited work.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Unresolved cited work

Reference 84

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Observation 5d13f1cf-0a4a-44ac-9a03-a7772cb2dbed · outbound

This paper cites Inferring the Spatial and Energy Distribution of Gamma Ray Burst Sources. II. Isotropic Models.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Inferring the Spatial and Energy Distribution of Gamma Ray Burst Sources. II. Isotropic Models

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Observation b2c88fed-242a-4289-9b60-62eb4516e98d · outbound

This paper cites Bayesian analysis of neutrinos observed from supernova SN 1987A.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Bayesian analysis of neutrinos observed from supernova SN 1987A

Reference 86

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source=pdf_text observed=2026-08-07T15:36:26.988124Z digest=sha256:3c0f4d5db1cc1c892f1aa44576e625f70fcd3007ebf6781b92850afca1b8d5fd

Observation 1f7253f4-f7d2-41a0-bf1d-c4f7ff79494f · outbound

This paper cites Extracting distribution parameters from multiple uncertain observations with selection biases.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Extracting distribution parameters from multiple uncertain observations with selection biases

Reference 87

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source=pdf_text observed=2026-08-07T15:36:27.073599Z digest=sha256:d3e820fea164ef5b4b87f7e1b4b3021d284db8de48757f3a1320c6f461c6d5d0

Observation 3b6c0b58-79ec-47d6-b5b4-fd36100211e1 · outbound

This paper cites Inferring the properties of a population of compact binaries in presence of selection effects.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Inferring the properties of a population of compact binaries in presence of selection effects

Reference 88

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Observation 13150351-db55-4c4f-8ad9-3fe09141bbe3 · outbound

This paper cites An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models

Reference 89

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Observation 1db3484e-d2de-43fb-82b9-dda952dc6c3a · outbound

This paper cites an unresolved cited work.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Unresolved cited work

Reference 90

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source=pdf_text observed=2026-08-07T15:36:27.437064Z digest=sha256:d61386c9cc34d2160903d830527c59e54f0c7993b39dc52839618e0c7776a776

Observation 5b9a9f08-a60d-49d6-b613-1736331cdd80 · outbound

This paper cites Estimation of the Sensitive Volume for Gravitational-wave Source Populations Using Weighted Monte Carlo Integration.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Estimation of the Sensitive Volume for Gravitational-wave Source Populations Using Weighted Monte Carlo Integration

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source=pdf_text observed=2026-08-07T15:36:27.574569Z digest=sha256:9550f05abb7dd34c8ef06e4377a0c2624afc5ad6eb6ce7469db415f58e2f9820

Observation 2574b26f-62a8-4ade-a9b2-9cbde5eb347b · outbound

This paper cites Accuracy Requirements for Empirically-Measured Selection Functions.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Accuracy Requirements for Empirically-Measured Selection Functions

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Observation 8bbd9b9b-35fb-470c-8869-284102189e53 · outbound

This paper cites Growing Pains: Understanding the Impact of Likelihood Uncertainty on Hierarchical Bayesian Inference for Gravitational-Wave Astronomy.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Growing Pains: Understanding the Impact of Likelihood Uncertainty on Hierarchical Bayesian Inference for Gravitational-Wave Astronomy

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Observation 055be935-94ed-4f54-ae4b-119c5cf2ba4d · outbound

This paper cites Essick, Research Notes of the AAS 5, 220 (2021).

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Essick, Research Notes of the AAS 5, 220 (2021)

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source=pdf_text observed=2026-08-07T15:36:27.826518Z digest=sha256:a26a807ebf0acbbf1a5125850063c9f0d985719c9b4e47f0765e91dc94e99998

Observation 1186efc7-2341-4fac-ae0e-a04e847869a2 · outbound

This paper cites Semianalytic Sensitivity Estimates for Catalogs of Gravitational-Wave Transients.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Semianalytic Sensitivity Estimates for Catalogs of Gravitational-Wave Transients

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Observation bd1358e3-aefe-4981-a8a8-082337eb150a · outbound

This paper cites A physically modelled selection function for compact binary mergers in the LIGO-Virgo O3 run and beyond.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets A physically modelled selection function for compact binary mergers in the LIGO-Virgo O3 run and beyond

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Observation 1c79b570-b838-4c93-bac5-70c0387d5831 · outbound

This paper cites Islam, A.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Islam, A

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Observation 398b2cb4-ea4a-4e6b-bb25-357b755008b7 · outbound

This paper cites Updated observing scenarios and multi-messenger implications for the International Gravitational-wave Network's O4 and O5.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Updated observing scenarios and multi-messenger implications for the International Gravitational-wave Network's O4 and O5

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Observation 5b241e9c-3366-4af5-9354-9e5e12a3fa9c · outbound

This paper cites Damour, Phys.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Damour, Phys

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Observation b9c882a9-c443-4b37-a8ff-af82a35a7e65 · outbound

This paper cites Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction

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Observation fa426c55-f07d-4aa8-af45-51daf20d122e · outbound

This paper cites Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries.

The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries

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Pith citing papers

Observation 47a85a8e-79db-4779-8f6e-a64b4b8cd726 · inbound

GWTC-4.0: Population Properties of Merging Compact Binaries cites this paper.

GWTC-4.0: Population Properties of Merging Compact Binaries The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets

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arxiv_id, observed 2026-05-09T07:21:34.283991Z

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Observation 3e71b42d-b7a3-4c26-b7f9-9655d0cb468b · inbound

When (not) to trust Monte Carlo approximations for hierarchical Bayesian inference cites this paper.

When (not) to trust Monte Carlo approximations for hierarchical Bayesian inference The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets

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Observation c59f2866-ab61-42aa-8659-c601ebcda31c · inbound

A new group of low-spin $50-70M_\odot$ Black Holes and the high pair-instability mass cutoff cites this paper.

A new group of low-spin $50-70M_\odot$ Black Holes and the high pair-instability mass cutoff The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets

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arxiv_id, observed 2026-05-22T12:41:33.116104Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation e71f7a66-105a-4cd4-9a77-9da609cef3db · inbound

A new group of low-spin $50-70M_\odot$ Black Holes and the high pair-instability mass cutoff cites this paper.

A new group of low-spin $50-70M_\odot$ Black Holes and the high pair-instability mass cutoff The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets

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source=pdf_text observed=2026-08-04T08:07:43.893372Z digest=sha256:2e1f9c461509b5a58635b01f7d72f8617b2f44018057aa68b75f277c6e7d6b88

Observation 3e4f8318-bc33-4c70-a3ed-e5698b6ea924 · inbound

Measurement prospects for the pair-instability mass cutoff with gravitational waves cites this paper.

Measurement prospects for the pair-instability mass cutoff with gravitational waves The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets

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arxiv_id, observed 2026-05-16T05:37:23.903305Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T05:35:56.364232Z digest=sha256:c205f38d981a2702f741c9c87bfacb63b0213b912d6b1bb0ced01c730f69a012

Observation c2f7a9d3-0fd4-4ee7-9b13-d776692984f4 · inbound

Posterior Predictive Checks for Gravitational-wave Populations: Limitations and Improvements cites this paper.

Posterior Predictive Checks for Gravitational-wave Populations: Limitations and Improvements The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets

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arxiv_id, observed 2026-05-10T23:25:51.072772Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation c28a6f46-71eb-43f4-856d-046483de619a · inbound

The first decade of gravitational-wave measurements of black hole spins cites this paper.

The first decade of gravitational-wave measurements of black hole spins The Long Road to Alignment: Measuring Black Hole Spin Orientation with Expanding Gravitational-Wave Datasets

Reference 260

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