Pith. sign in

Paper Citation Record · LEDGER

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2608.09697.

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

pith.paper-citation-record.v1
2608.09697 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:38:58.844603Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

  • verified exact5
  • verified fuzzy3
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c7ef8f4-6482-4cd0-b69d-8af3a793b682 · outbound

This paper cites Lachi` eze-Rey and J.-P.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Lachi` eze-Rey and J.-P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:38:59.786911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.675570Z digest=sha256:289cd26f000fd9f29e5a0d65d1679465c63dfa347b7ec147ceb62ad25bd1cb36

Observation aaf32623-5c7e-4b0e-9408-9230b3796166 · outbound

This paper cites Levin, Phys.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Levin, Phys

Reference 2

Resolution
verified exact
raw_fallback, observed 2026-08-11T12:38:59.675450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.681383Z digest=sha256:bfc098719dd4ea75f6d5cce65f5388d0bd43cfc58fda036282fe77cf8b0f23fe

Observation e44c6da6-0a3f-466e-a154-81125bf12f95 · outbound

This paper cites an unresolved cited work.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Unresolved cited work

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-11T12:38:59.582460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.687272Z digest=sha256:fbdeacbd5020d944c6f5c116b37e7b319cdf6493e7474a328c33e3ad636d6d1e

Observation d62a1495-10ef-4ad6-8ac6-e0a10ce63c4b · outbound

This paper cites Planck 2015 results. XVIII. Background geometry & topology.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Planck 2015 results. XVIII. Background geometry & topology

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.692749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.692749Z digest=sha256:47f04cc250a7eb919b6c8e588bdec48d7e3a961a45e3bf5a0586ade88a38c309

Observation 27cd060f-5abe-4693-963a-982b87c96abe · outbound

This paper cites Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.698452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.698452Z digest=sha256:7ad85ed9a4902d52094e382a2f6808f62e1e96f0621903e8cf66a1b2b81d5c22

Observation 09ae4488-43e3-4229-b472-9d4306e10da9 · outbound

This paper cites Promise of Future Searches for Cosmic Topology.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Promise of Future Searches for Cosmic Topology

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.704575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.704575Z digest=sha256:067b06fa9f6baafe948c8e77f166208c371caccfb47f51cea730ce2a81ccf1c8

Observation cfb7074d-5cb9-4544-ae91-4c1bc61a301e · outbound

This paper cites Cosmic topology. Part IIa. Eigenmodes, correlation matrices, and detectability of orientable Euclidean manifolds.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Cosmic topology. Part IIa. Eigenmodes, correlation matrices, and detectability of orientable Euclidean manifolds

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.711023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.711023Z digest=sha256:4bb4851be3f8b60c073ea566bbcff90154ae33f75728f985bca70574eda2911d

Observation 0caf982b-9667-4703-92d1-623eaca31138 · outbound

This paper cites Cosmic topology. Part IIIb. Eigenmodes and correlation matrices of spin-2 perturbations in orientable Euclidean manifolds.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Cosmic topology. Part IIIb. Eigenmodes and correlation matrices of spin-2 perturbations in orientable Euclidean manifolds

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.716863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.716863Z digest=sha256:d50fc44f24fa17aaea9b8bbe14e9c83ba8f57b282b4fe743b18d78b7dde8472e

Observation f3e71ed3-f59f-4e17-b9e3-f03a6dfff06b · outbound

This paper cites CMB statistical anisotropy from noncommutative gravitational waves.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe CMB statistical anisotropy from noncommutative gravitational waves

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:38:59.361385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.722632Z digest=sha256:80e8e681939d0ad8a68f2034241cb66ece30d4bc0b5ad263e9fde203c8df25f3

Observation 6c9a6880-14d3-42e1-a15d-861e6ec1cf8f · outbound

This paper cites Hunting for Statistical Anisotropy in Tensor Modes with B-mode Observations.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Hunting for Statistical Anisotropy in Tensor Modes with B-mode Observations

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:38:59.331223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.727503Z digest=sha256:a28ae7d78a007fada86de6b3b2b107c15829c90198f4db1eb6d1db3a4bb6f896

Observation e3f06a31-3817-4c06-b54b-7cfd7cd63149 · outbound

This paper cites Cosmic topology. Part IIIa. Microwave background parity violation without parity-violating microphysics.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Cosmic topology. Part IIIa. Microwave background parity violation without parity-violating microphysics

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.732173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.732173Z digest=sha256:4e2e6f75aaff0525e3a9ba9c71447909af5f558aad69c7e812e29ce3a70409be

Observation 54193848-f1a7-40ee-808f-0921bebbf6c2 · outbound

This paper cites an unresolved cited work.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:38:59.807126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.668857Z digest=sha256:e98fffbbf9d574d962944823469d44d6c78dbf66f27779993e9dbeccc0b47d6a

Observation cf5d826c-0990-4aa2-8f3c-9a2b3cc7980b · outbound

This paper cites An All-Sky Analysis of Polarization in the Microwave Background.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe An All-Sky Analysis of Polarization in the Microwave Background

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.737233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.737233Z digest=sha256:9b7b98a7553f31ff38e6888eab5d469cc54e81ebf103165c032c7bcf24ce42c0

Observation 674880b1-2a1f-4f6a-ac95-3adaf49117fe · outbound

This paper cites Statistics of Cosmic Microwave Background Polarization.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Statistics of Cosmic Microwave Background Polarization

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.742164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.742164Z digest=sha256:6d0f117de1d910a2b18198326ccd83dd73138c9e6f6e74a43e9cec9722afed85

Observation ca0777fa-14ac-4ee1-8e9b-599c971d00fe · outbound

This paper cites Cosmic Microwave Background Fluctuations from Gravitational Waves: An Analytic Approach.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Cosmic Microwave Background Fluctuations from Gravitational Waves: An Analytic Approach

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.747936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.747936Z digest=sha256:6be703c3c09b52022c7a6308c7709c5ca4438c02c8b761a03dea4e40bf004194

Observation d8342f22-b7f2-4717-9b65-09db84aedb34 · outbound

This paper cites Detection methods for stochastic gravitational-wave backgrounds: a unified treatment.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Detection methods for stochastic gravitational-wave backgrounds: a unified treatment

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.754080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.754080Z digest=sha256:5d00787282614fa0f5bb42ba03288a7afdca4f31e2b0b48fe254d7e11a4a7d0b

Observation 7daef16c-4741-42f2-91cb-21cae0c6401e · outbound

This paper cites Characterising gravitational wave stochastic background anisotropy with Pulsar Timing Arrays.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Characterising gravitational wave stochastic background anisotropy with Pulsar Timing Arrays

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.759991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.759991Z digest=sha256:8e2736991c1fed982309ab285725c5b3f2feeff5736131c4bec241a8b4ae9584

Observation 82655223-18a2-4c96-b75c-6bb385fa0f8d · outbound

This paper cites Searching For Anisotropic Gravitational-wave Backgrounds Using Pulsar Timing Arrays.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Searching For Anisotropic Gravitational-wave Backgrounds Using Pulsar Timing Arrays

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.765494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.765494Z digest=sha256:5c0faf73d05d43e854d866e95062361e9017a610e0bf973071d438b8eaf6c674

Observation c0b20e1e-13a9-4774-b76b-fdbe1658fd34 · outbound

This paper cites The NANOGrav 15-year Data Set: Search for Anisotropy in the Gravitational-Wave Background.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe The NANOGrav 15-year Data Set: Search for Anisotropy in the Gravitational-Wave Background

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.770784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.770784Z digest=sha256:a61261fd996a59bf2b7d735e61d4ad39bef7513e3389c1b1cbdcab4060f4e8c2

Observation 2adf2ac3-c89c-4776-97cd-3744fa50a39e · outbound

This paper cites Probing Anisotropies of the Stochastic Gravitational Wave Background with LISA.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Probing Anisotropies of the Stochastic Gravitational Wave Background with LISA

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.776579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.776579Z digest=sha256:c8ad15a5fc3d73e41d9611fdd732302978fb8d83331dcb5602bd06ec7bd0ca86

Observation 358a7124-741b-45b0-8479-10ecf3dff019 · outbound

This paper cites Measuring the anisotropies in astrophysical and cosmological gravitational-wave backgrounds with Taiji and LISA networks.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Measuring the anisotropies in astrophysical and cosmological gravitational-wave backgrounds with Taiji and LISA networks

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.783002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.783002Z digest=sha256:0323850ae5aed385f37f9f02a3f8e087819973e36a89e7c72415c8720e69b196

Observation 7bcd4999-265b-4755-bbea-cbb20593ffdc · outbound

This paper cites an unresolved cited work.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.788565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.788565Z digest=sha256:eb2ae4483f84795925b4d1bc07ef969e77846fdf003d169485c3edc6b255f7b7

Observation f7ba8763-1385-4dd1-be41-0fea2d580568 · outbound

This paper cites Hamermesh,Group Theory and Its Application to Physical Problems(Addison-Wesley, Reading, MA, 1962) Dover reprint, New York, 1989.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Hamermesh,Group Theory and Its Application to Physical Problems(Addison-Wesley, Reading, MA, 1962) Dover reprint, New York, 1989

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:38:59.755966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.793766Z digest=sha256:5e8965ef506e81bcfb123beb8de102f48d7e3ccf4af651cab37c2e28e1c3cdf1

Observation b5cb7ea5-e6b2-4110-a98c-261103e6742c · outbound

This paper cites Simulating Cosmic Microwave Background maps in multi-connected spaces.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Simulating Cosmic Microwave Background maps in multi-connected spaces

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:38:59.101497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.798890Z digest=sha256:0f0dd14625e0154679b6f9abba01222f6db1cbf5ab77f518c8771ae253f97c8b

Observation c220556f-857e-4c61-b93a-8c1e80d8a091 · outbound

This paper cites Laser Interferometer Space Antenna.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Laser Interferometer Space Antenna

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.804167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.804167Z digest=sha256:4c9472cf9be5f66edbf33a979b8fe782784c362b2ef1042b94977078bac0369e

Observation 9a5ccd24-b440-44ae-9767-e55f06b4e878 · outbound

This paper cites an unresolved cited work.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:38:59.735341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.809060Z digest=sha256:d80c99195f080951421d6c3459ec2c6032bb9ebf6e060a61ba555a6a96837ac5

Observation bbed1689-0ac4-425b-bde7-a456f01fdde7 · outbound

This paper cites TianQin: a space-borne gravitational wave detector.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe TianQin: a space-borne gravitational wave detector

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.813966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.813966Z digest=sha256:8019556a908a5cfd7ccae8fbc86c5e1cd974ff63937d366b8c41380ca13c4cf4

Observation f0ba8980-4fae-46a5-bc5f-49ad508ddf78 · outbound

This paper cites an unresolved cited work.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:38:59.716844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.819534Z digest=sha256:0223dda6a7bfdae6f93a32927a0d47f2654571f66bda069bd8756448e977c14c

Observation 2bf46fc6-f1ea-48ab-a5e0-8ca8755d6b69 · outbound

This paper cites Tomita, Prog.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Tomita, Prog

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:38:59.698110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:38:58.824522Z digest=sha256:ed6ef3b4c7094cf2f5951c6fbc47cdbe0e8f6affa94492b982ee848613a21ad5

Observation e7135167-2a4b-403b-b8a7-4a24dc15d41d · outbound

This paper cites Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.829482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.829482Z digest=sha256:e54fb7b316877ffae8cc0e3dd7706ed666c4bde2af7ec97b57e3857b5b4b5528

Observation 7b054344-1cb7-4372-bb9d-cb7fffe987d8 · outbound

This paper cites Efficient Computation of CMB anisotropies in closed FRW models.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Efficient Computation of CMB anisotropies in closed FRW models

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.834783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.834783Z digest=sha256:c4071671481993740985b0cae32b1ba2f6c44460dc750b9be2d7b010e87a8b5d

Observation 34fec55a-bc57-434e-a646-d96b99de0975 · outbound

This paper cites Planck 2018 results. VI. Cosmological parameters.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Planck 2018 results. VI. Cosmological parameters

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.840031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.840031Z digest=sha256:f8ca70ec6a183e3cecc8d735053c4ec862d7bf1dc78f0f4f6b71cb113dd50585

Observation a74a0ebc-c30a-41ca-9ade-8e6557e162f0 · outbound

This paper cites an unresolved cited work.

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-11T12:38:58.844603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:38:58.844603Z digest=sha256:d35ac78f344bbb4f57fc964bf81aa24e96c7ca2bb15e55c5ca6c5ab4b0207e55

Pith citing papers

No inbound Pith citation observations are available.