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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 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.072649Z digest=sha256:727a8f3b51a224f6d73827f5310cd39a6fb21b310ad7c35de8e358ed8f560cc8

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.195357Z digest=sha256:d1484be675c17484d98d759279ac2322ca92fc4bfb166032ecdb0b3efb291581

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.295076Z digest=sha256:d8b361364b4b2761950a36d863236d328bd7b0fa7d2caa05c8fa0575af8475a8

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.379949Z digest=sha256:aa99b2ef1c118d5241172b26746b1cd25cad33715aebfc3f32a8f521b9455f08

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.464509Z digest=sha256:0f5f965a42c6acdef5c9ce9b653c982a83ed145ff356f257e33256969ca77613

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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.681829Z digest=sha256:f20fa08cca2d172cba9ff452ceb2b051c985cbf61a030a65fe6cbec017675959

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.826723Z digest=sha256:e6beba878ab7b5c2c18c0ca8ceb1643c4e4efcbbb1254e77a7a6d8320aae5e39

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:24.999157Z digest=sha256:5ff4780a700ef75d0ce207a91a20ec6a95faff72be3a5d73d1534c3ded9cd0d0

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.142132Z digest=sha256:292a65a8033e511b19b250470139a47db7decab10b7cc2fdb8aaec3feacad09a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.293601Z digest=sha256:f07185e864c574226f5cf512108eaa52d6adc41eee3155ca0d8a221736c9aa0f

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.394241Z digest=sha256:06d8e5215bbd510a7d6117174cf058a82fed7bf965503fb9de7c8e420ab55a5a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.512566Z digest=sha256:02e9c3147556875ff22e3f3addbfc5b8997b8551097037295da2d81dd10f202a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.634664Z digest=sha256:93d0746f7b15203a4a387991c2e5770393576ae30b34e413c32f7919767c1b04

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.766773Z digest=sha256:50dfb6ccd1c4ce7ef79518746d5f575aa01fb0864dc7c23df70f998760fe17b8

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:25.885011Z digest=sha256:055bc92117db261c134fe3c882531995787953417c0c04bcceb493603a14f1c0

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.020307Z digest=sha256:28e04dd485ef0201ab8592f0cf4ca7e911da5f292138218784ba05b4dc70fd96

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.176269Z digest=sha256:3933d82050bd4ead6290b09a4e4cb7c40f2c90e892d9b5487a99b6ae3053392c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.294381Z digest=sha256:c757d7c79fb649d8018556158bd5553e917401b55decd811b2d90845f3bb705f

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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.513035Z digest=sha256:39e135d2971dc44e0026cf0df9772309015e06c0ddd800bf5a025869be9eb086

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.601382Z digest=sha256:5df2cb9fe9ae7aba4e564b6bc171c7fc1ecbb4125810050b3b9c35d77342068c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.773840Z digest=sha256:0895e21e11f024a5a616e6dfd388ec74e9da70eb314bc8303bf130a7aceb70f5

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:26.928920Z digest=sha256:15e43cc012bd8b1bad73216b5131f46a487a315f06278b0fa8158ea2af5a6389

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:27.093448Z digest=sha256:3827da193560d915949d63bd470b6d8eb1dae78aea5280068caf5d9b35bbdd73

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:27.281534Z digest=sha256:55657b8fc703cca891fa1d31e832c36c6aef935cd43c904ddc13828decc85b03

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T19:14:27.392071Z digest=sha256:facf3da955caccd8ac377d773081ae6ab9aecbd1f616cabdae771b45e11f345f

Pith citing papers

No inbound Pith citation observations are available.