Pith. sign in

Paper Citation Record · LEDGER

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football

As of 15 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2507.06122.

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

pith.paper-citation-record.v1
2507.06122 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:14:27.392071Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

29 of 29 outbound references displayed

  • verified exact3
  • verified fuzzy7
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d222fdd6-ec4f-4959-9b85-991343fba5bb · outbound

This paper cites S., Matthews, G.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football S., Matthews, G

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:32.203616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:23.962728Z digest=sha256:7b8ac555a16421e6f41baa01764d219acd35c3063476d49197750911c7b076a1

Observation 515e2a4f-3703-46c0-8a7a-c408820dd90f · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:32.044478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.072649Z digest=sha256:738a5b74b1a260417ba4c0b99f254740b8f16e01baafe2af5fb2e388e629a018

Observation 04d4057d-b67b-4e97-b189-3ab4accc0f3c · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:31.893624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.195357Z digest=sha256:630f51c31fd32a4ee2495f074ff734cf819ddf8eceaa59877c2f0eda5bdae529

Observation 300e0b16-1873-46dd-9bda-84c3a0491d2c · outbound

This paper cites D., Lee, D., Goodrich, B., Betancourt, M., Brubaker, M., Guo, J., Li, P., and Riddell, A.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football D., Lee, D., Goodrich, B., Betancourt, M., Brubaker, M., Guo, J., Li, P., and Riddell, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:31.773821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.295076Z digest=sha256:26a2c192a4d9ef6a18f5ee210daebf7daa792d34d3d93f2839ce4d6543691b19

Observation 3d8387c3-84de-496b-a590-8c84029d8856 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:31.626249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.379949Z digest=sha256:a3b8e7be6fd4d5e8187c3342484c0c60ca2608b398503948675b170eacaad259

Observation 782fc0e3-0d4b-41e1-aa1e-57382ceb5192 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:31.538753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.464509Z digest=sha256:f72c5a7f99a2ac16a074b3a92f6d1eee98f9fcc7c3ebcf77f6acdf02f2548e36

Observation 4f31fc45-b00a-4b9b-80ec-0132bac0641d · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:31.409075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.558828Z digest=sha256:2ebbc44723976ec0b9815627ab2cbea5c373b8ccd62a283b7affbff08c9489ed

Observation 904ce4a3-d3f1-4646-b55c-9bf1712498b7 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:31.224772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.681829Z digest=sha256:f50c9050935883121f671938e8e6328c55a9cbd3933209310bc7db09a4bcab87

Observation d4b9ed29-3871-45c2-857d-53037155eb00 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:30.983081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.826723Z digest=sha256:0276981d8157ec07c04bf0740311c0fbc8605abc038f0381d44af2507666238c

Observation 3972beb1-bdc6-4f72-b5f2-a51bbeec4612 · outbound

This paper cites B., Stern, H.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football B., Stern, H

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:30.870097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.999157Z digest=sha256:bbb13888fd32a82717925d5bb6ca1f7fb309bf280588faa5343310231a0bbe11

Observation 09ace7f2-c4f1-4aaa-b8cf-c4ff16558d4f · outbound

This paper cites and Rubin, D.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football and Rubin, D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:30.740542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.142132Z digest=sha256:bcf018a60281cc7be4da9833dda245e2619e053db48fe63e37bfac69873a4754

Observation b4bc5b73-c3f5-4acf-8a9b-c6d3176a29d2 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:30.573370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.293601Z digest=sha256:7a5c0fc37b8b4c15242d1916b6baf3ff85200cc0089ce660fc3b68ad2670ae1f

Observation a520c9eb-b0cb-40e0-bdfc-14f4ffd3f5aa · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:30.369868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.394241Z digest=sha256:b64fe34db6f9ad2826a75ae49b059be80d1d8e78c15b9f649478ffb535baabf8

Observation 013f8821-d643-4a32-a0ac-0c9bfcbbd92d · outbound

This paper cites and Carl, S.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football and Carl, S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:30.179338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.512566Z digest=sha256:4c8c81bb090308e0835617a191a032d76e2459ac216f89c9362cb2b7e7c124d9

Observation ed48ee00-bcf5-4c64-b681-87f5f85c318a · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:29.998751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.634664Z digest=sha256:75ffc5b6800fc783be28f65ebe0f3e2cd4f12046ddc84003a31bb21713a023f9

Observation 8796ef74-0cb7-46df-8157-3fa3767044ab · outbound

This paper cites B., Johnson, D.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football B., Johnson, D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:29.856353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.766773Z digest=sha256:7f5dd871efc00f4ec005215f616e3dd94d40428aa719dfbbdb45e91a2ddd090c

Observation 2ddb6ad9-59cc-4666-b7f2-547a7c2657b7 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:29.639607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.885011Z digest=sha256:93083312721fc96064ecd20e12c4fb4267225e03e3548207da2cd271dd655012

Observation e714461e-5256-4c3c-9fe9-cc7ec718e888 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:29.449606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.020307Z digest=sha256:395dd5c490c7ac85561d49b520f3f3d77cfa0ae1c1ffc3227045ef360699cb49

Observation 9092a5df-84e0-4c94-8d3a-1c86ce3bae09 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 19

Resolution
verified exact
raw_fallback, observed 2026-08-06T19:14:28.019074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.176269Z digest=sha256:bc8ae16e5bdc46c9946ba1bd791e1667cc92e6b15ad98ef19f5fd05748a052aa

Observation 82b092f2-8436-44b7-a31c-851929959a78 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:29.283241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.294381Z digest=sha256:145cecbb3a4f69c3659596c0f786b1122a5ef9faa3c20c6ee341ee81a8f7ade1

Observation 42b79dff-fb42-4094-8f02-168beaac1aca · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:29.087417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.406203Z digest=sha256:8824235be0700ae298dcfdf8e0efb6f9169c4f676494e91f3a2bde4e70b17f96

Observation be992a4a-b64a-4af0-b4c2-0baa435b3ea1 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:28.890011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.513035Z digest=sha256:144e93433d72945d3c7acbe649237ad67776830a04f77a998e21a6f6815d01b4

Observation 9abbd80f-a4d8-4adb-86e6-6a1860531804 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:28.740316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.601382Z digest=sha256:3ce72e4c4f64dd5d08c78beb3b12a505f61f1b0732f0cec8b9123564ff351a34

Observation 5386f67e-7631-42b0-a922-8d4d1fbefc10 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:28.541771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.773840Z digest=sha256:34edcd4714e2f40934eed5f81449e3b6e92e0c02d7debf85cf7a1e14e41b1d01

Observation 51b7fa9b-79ac-454d-9dae-1156a92456a6 · outbound

This paper cites A multilevel model with heterogeneous variances for snap timing in the National Football League.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football A multilevel model with heterogeneous variances for snap timing in the National Football League

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:14:27.701591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.928920Z digest=sha256:08b87165a575dde3d4349f7bdca28ddc2896f488806ed4ea485c36a217387fc5

Observation b2d367cb-8f0c-401d-81b6-103d87470ad0 · outbound

This paper cites an unresolved cited work.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:14:28.378231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:27.093448Z digest=sha256:2e837fa1c819af1223991259f3dfa84cf1537c9d5795c0c451f01ae86680ed48

Observation a0b875de-7542-4eec-a948-455e0f3317c5 · outbound

This paper cites R: A Language and Environment for Statistical Computing.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football R: A Language and Environment for Statistical Computing

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-06T19:14:27.205367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:14:27.205367Z digest=sha256:45e0cdb34fd544ec8ae1be62909e2fd2721af6d45e020c9729a96922eab93664

Observation 77a8ccd8-9eaf-47a7-858b-9fdcea845fc6 · outbound

This paper cites F., Granered, N., Pospisil, T., Pelechrinis, K., and Ventura, S.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football F., Granered, N., Pospisil, T., Pelechrinis, K., and Ventura, S

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:14:28.206920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:27.281534Z digest=sha256:13035368d4166934eb78d86d0400edbed635db02e600f0a71e4421486231ca74

Observation a44a6758-731d-400e-8c12-7a4d5f39c9df · outbound

This paper cites NFL Ghosts: A framework for evaluating defender positioning with conditional density estimation.

A Bayesian circular mixed-effects model for explaining variability in directional movement in American football NFL Ghosts: A framework for evaluating defender positioning with conditional density estimation

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:14:27.569949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T19:14:27.392071Z digest=sha256:f46a39bbfb72753c5f68babc513db1059abb8166a97f709f98e683f1720219ac

Pith citing papers

No inbound Pith citation observations are available.