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Paper Citation Record · LEDGER

The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:2601.03456.

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

pith.paper-citation-record.v1
2601.03456 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T12:20:55.504598Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation ca695f80-1664-4873-871b-a808112dca2c · 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 steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 68

Resolution
verified exact
local_arxiv, observed 2026-05-16T05:37:23.554261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 6bd8ad19-30f1-4028-8d89-2ce63cae68a9 · inbound

Remnant recoil and host environments of GWTC-4.0 binary black-hole mergers cites this paper.

Remnant recoil and host environments of GWTC-4.0 binary black-hole mergers The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 49

Resolution
metadata mismatch
local_arxiv, observed 2026-05-10T22:25:53.066676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 9eaf1a11-49c1-4dc9-a9ef-06c663c48356 · inbound

Interpretable Analytic Formulae for GWTC-4 Binary Black Hole Population Properties via Symbolic Regression cites this paper.

Interpretable Analytic Formulae for GWTC-4 Binary Black Hole Population Properties via Symbolic Regression The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 14

Resolution
metadata mismatch
local_arxiv, observed 2026-05-09T22:49:15.562597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation c7608152-64ed-405d-ac39-aed2e5187d19 · inbound

Properties of black hole mergers in disks of active galactic nuclei cites this paper.

Properties of black hole mergers in disks of active galactic nuclei The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-05-09T02:34:38.467169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 6ff21185-bf49-4663-aa8b-1694ca7f7ffd · inbound

Properties of black hole mergers in disks of active galactic nuclei cites this paper.

Properties of black hole mergers in disks of active galactic nuclei The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T18:07:17.499651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T18:07:17.499651Z digest=sha256:a0541a6ab2f758a7731bba81726309575a11efc4eb9c516a23e918ac1a12bc23

Observation 242a0ed1-8f32-4069-9e5a-2d7b7925af4c · inbound

Secondary-Mass Features improve Spectral-Siren $H_0$ Constraints cites this paper.

Secondary-Mass Features improve Spectral-Siren $H_0$ Constraints The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 29

Resolution
metadata mismatch
local_arxiv, observed 2026-05-13T02:07:06.707556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation c9ef5a02-39d0-40a8-a43f-8168455e2f46 · inbound

GWTC-5.0: Population Properties of Merging Compact Binaries cites this paper.

GWTC-5.0: Population Properties of Merging Compact Binaries The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-06-29T16:03:33.291727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation eba3566f-2355-4cd8-9ca2-f75839442e55 · inbound

GWTC-5.0: Population Properties of Merging Compact Binaries cites this paper.

GWTC-5.0: Population Properties of Merging Compact Binaries The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-07-02T23:07:26.154432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:a8e54626c9f24c95105ba01896d994d2654804443de66e670ee117409cd35e69

Observation 6275fd48-14d0-4a7f-9e8f-030c97d3c2a2 · 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 steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 273

Resolution
metadata mismatch
local_arxiv, observed 2026-06-28T00:21:27.680905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:ab3ea0c74ad83d6c79a6fa679a04ac4396b1bd93e9ce45f8dc7b4688232ad626

Observation 8ee66c52-bcdc-41af-baa9-024794953695 · 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 steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 272

Resolution
unresolved
no resolver link, observed 2026-08-02T12:20:55.504598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:20:55.504598Z digest=sha256:5eae1bca4d10a390cf2e86ea029c689d0991448808aa9f8eafd20498b4350dc9

Observation 88099385-d723-4399-a977-2c45cdf27388 · inbound

Evidence for additional structure in the effective spin distribution hints at multiple formation pathways in GWTC-5.0 cites this paper.

Evidence for additional structure in the effective spin distribution hints at multiple formation pathways in GWTC-5.0 The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 109

Resolution
verified exact
local_arxiv, observed 2026-07-03T12:58:07.894929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-27T08:41:37.044992Z digest=sha256:2beb9a644d9d0419e859d04f79f22e7751c6d49e1ffaf64c30ddfb0c47f20664

Observation c7f333ad-4e67-4560-91e2-6460464bd89e · inbound

The Chirp-Mass Ladder: A New Rung Emerges cites this paper.

The Chirp-Mass Ladder: A New Rung Emerges The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 247

Resolution
metadata mismatch
local_arxiv, observed 2026-06-26T23:10:14.360342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-06-26T23:08:42.665379Z digest=sha256:d4aad28aeb51ebead1fdc033208bcda2f64a8d6dcb48c201b2daaeed2d282a98

Observation b6c4048b-f388-4f19-84f8-5f48f698f9bc · inbound

Joint population and strong-lensing inference for resolved gravitational-wave events probes the black-hole merger rate beyond the peak of star formation cites this paper.

Joint population and strong-lensing inference for resolved gravitational-wave events probes the black-hole merger rate beyond the peak of star formation The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 106

Resolution
verified exact
local_arxiv, observed 2026-06-30T14:34:46.025106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T05:24:03.103599Z digest=sha256:123ae8b395fbc6f72b0f33a47b290f3271cbb6597ebe2e575cfaa6dc9a8e367a

Observation 95f48fe0-50fd-414d-8b08-485f896e849d · inbound

Uncovering Hierarchical Sub-Population of Binary Black Holes cites this paper.

Uncovering Hierarchical Sub-Population of Binary Black Holes The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-01T23:27:58.815966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:27:58.815966Z digest=sha256:f63180abc939a6f6892e12ce110e0d49cd289a5d2088fd454c0346527e8454d1

Observation cd235f8b-3c24-411a-b665-868718aa807a · inbound

A Four-dimensional Model-agnostic Probe into the Astrophysical Origins of Binary Black Hole Subpopulations cites this paper.

A Four-dimensional Model-agnostic Probe into the Astrophysical Origins of Binary Black Hole Subpopulations The steep redshift evolution of the hierarchical binary black hole merger rate may cause the $z$-$\chi_{\rm eff}$ correlation

Reference 32

Resolution
unresolved
no resolver link, observed 2026-07-31T01:54:12.211484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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