Pith. sign in

Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.675570Z digest=sha256:2a1d3d7102a2ed3ed121abeec6f1236e4b1ce3a388df196ffa1f765f7cabeae9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.681383Z digest=sha256:6aca59594b98f99310533ab3eddc41612cdcdd0561dda80be48fb5e6daf55b20

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.687272Z digest=sha256:1f8cf39149f786a8cbaee166185a1ef152a1424bc384fd39a4c395bb4c5e58d6

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=sha256:1675fbcadf2b90615cc6d7cb3d9c57e208868f842f87f13fe7dd1310e533159c

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:f573769232d6981695e0e7b65eccd07944c8431b56805ad13c1f6838312b9827

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=sha256:8af80376282cbb1fe4c4cde54c723983a149b5f32f848b54e5fe357d8e7e05bf

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:f1689ea7f40cb6266b7cbcef49f7efa8afd034f7a3391cee9f854e67225f1b07

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=sha256:3a5e9d85730729de7a50c1b7c0587924a3feba8c99d2b3ca05cc2ba3747291ca

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.722632Z digest=sha256:3fbec54f8d416b108cbbac2b390233add04491cb408b38fa798674f36054e3da

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.727503Z digest=sha256:4f54e62f71e833ca4338648380744d45cdab3f1dec59b975f7ef5311fddf16d6

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=sha256:3d19d37bd9d43e3fb5b6a64ea3dd40e4051112f5f4519562e3c3a6373356dad3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.668857Z digest=sha256:2603b877501d88971d8806d8404f6d92efae75a28df35575eb2c6b39421cbbb9

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=sha256:90f41213e0df35b4b82b3e219a245bff36e771edff3801ddbbdf2fc21eee9b5e

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=sha256:0f107faa35395a0361efc7980a230a462e30d79638f0abacf0b9aaef3ecfb918

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:c733fb73f38bc79d67a672813aff5ec26c0fd49dfc33e9be69b5e7007c814c40

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=sha256:5f314ef39d71284b15391e4bd7325cc47a7272cd8a806e0973df1eefd3c5dc08

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=sha256:53db25adcbaa59d21f61469ad23d818c76222b081125d1e274260f7a1ccdc4ce

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=sha256:865108698ea991fa30d9ee7595386b792a5fb54ed707565db8b5e3179fc595b8

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:b4aaef012c83a7e482cb7e676abbed695666276f06ead76621c9e2cbf78b3512

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=sha256:655545e3f75cefe9946d04455f8ecdca00a60366e0edbc9c1b78e330bc713804

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=sha256:345883567b8c7c90f42145caeacd89e7ea54e324157b2a333ff625f74d06fe0d

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=sha256:570486d351e362279b76a06276042ed232ae07769aa294ff2612b0545e75b92a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.793766Z digest=sha256:b2c6e6599ea568675d251708023b014ce6705bd53fc07f0e86277baba31061a7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.798890Z digest=sha256:9e1b12855cb21f103dee5ca9534a9f7b6d0f4da31c8c1f1e7514b8c55005d053

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:bf4ce4c9a65b1063df37348539a2a5950e5b03ccf8249d2b3a8ff723f40523f9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.809060Z digest=sha256:b730aa3842f1e7c76e53c242c94f71823dff08bfd995dd7e044682bf747fc213

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=sha256:3e87039242fabee87a4784f166dc45915d4f3abf1ad0b3fc24e26707e142a593

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.819534Z digest=sha256:880b931c6b69abbd75cc4abde4631d5b25d83e8b42d01b4f33436613cb829c71

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T12:38:58.824522Z digest=sha256:c5358a0a7515072f266c63a097da22d06769f33b256579486819e8090206ab70

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=sha256:368b3ddd205d23f1719192efd383c687e1e5f73c81318776993dfd24b9d76aff

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=sha256:89ee5e358979fbcd3dcdddca73dd8c158389bf9f0f7a02ac050486c8a9571fb7

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=sha256:7bc5f540f9f81047a37ede037ca6ec2d7b807f86106ec593d04c694a1d4864c3

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=sha256:882bf93c149baa8a7b5813df5e765cfec878ba72d7912533875e0ce29ef453dc

Pith citing papers

No inbound Pith citation observations are available.