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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.072649Z digest=sha256:c8632f5ea566813b6e4645417c457d6746bf7928de45514b24175b41ce50900a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.195357Z digest=sha256:983b76527ed18bfc51e2823efd68393516695cef703f7919798daaf24363ef81

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.295076Z digest=sha256:b5139fe91a63f0ce861f7ba148ddd738ad07de1370b9b1384a2aac132ddf6a2d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.379949Z digest=sha256:8335233090f99adfcfc1fb0e59d61a12fc7d0ea45eeddce9d11c98a7ccce45ee

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.464509Z digest=sha256:09d3c617b54eb0b1e8ed74b3be98e80d1fe54eda332b8cf3f8d3177e9ffd8f09

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.558828Z digest=sha256:61caa76f24f84e43b07659287c0a50dc7bf352d4f260a272647420b45f168dfa

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.681829Z digest=sha256:4fe7ef5bf57f2d75419bc5c5ac2980289c6cfbf32bc96d66ccf7e0123355ec3d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.826723Z digest=sha256:b81170c9cea504c27bb4413c40c0dba7a6b6586977bf1aae4d777f36782138b4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.999157Z digest=sha256:0c0d4040b2f128032bb585557f0af80d915b0001e5d021052c2da59998912ecd

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.142132Z digest=sha256:7085ec886b68b7443e9d0446312124393dd025c6a4ab11112a340657c992e543

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.293601Z digest=sha256:8819ca49e5d38bd1894b53ce132bf2ee8e99df5d77483e915fda42e214e4bf68

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.394241Z digest=sha256:06cfb1d5e8e8eab795f891138951132458655cca91ff3981afd00e5c4e10b8d4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.512566Z digest=sha256:bdcf5de705c0e562bc14dfd8254d938fcbd57a875f11f998627a6c77a9b9ac36

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.634664Z digest=sha256:3ee6a5f42df3390b82d2a4575834f15fb41e1eb5a2e092c0e0a76cb2d4228582

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.766773Z digest=sha256:c372007b66bf2388af8b1b8bd1a610a4346586bb26e1c1858f73945ccd2d25fe

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.885011Z digest=sha256:1831994c17f34709a8727ed3144b328630af1d0d65303b5f6b64a2aeb5a68a1b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.020307Z digest=sha256:41b4425a5a5a28ecbb9a65c008a0f98dcb5f4d172d77e9c29a85ff853e102d44

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.176269Z digest=sha256:a9f832e50cba66fb3926663a4bbc5d435ff2d0402e7e6974e93ea3d10f06e49b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.294381Z digest=sha256:b8ad3ecf3da5cd41bf192e1bdc44ab3835fd3fdddbca9d2507e4f1f99d8d6564

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.406203Z digest=sha256:4e0ea268412044b53d4b807ff7a8364f5ae87ed72ccd295aec5369f2a71ad80a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.513035Z digest=sha256:e364a77c84f3e97f4195b9cb2e99058d545bf61379b2b5795bfa9cfeebef8571

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 2026-08-08T06:32:00.761636+00:00.

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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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.773840Z digest=sha256:ae10e2c08d4dc7bdf293a2f78a317fcefd3cfca0b84601bc428182022de9a955

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.928920Z digest=sha256:4a8929b2dcedde336dc20819d25f3c3e4de1690ab986cc3d73e65f8d512cd3b6

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:27.093448Z digest=sha256:eee147cd4edec6fbf98ac6455a26165e159b12a1538ec4e001d72bf5c1e17daf

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:27.281534Z digest=sha256:e4472fc05ac4d2c543c8c9e088489c81f34b83a53a98a118022d3dd630c8bc9c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:14:27.392071Z digest=sha256:56577cedb7f34af199d514c8bdaca17acfe142d7485cdcba3252d4079b649e15

Pith citing papers

No inbound Pith citation observations are available.