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Paper Citation Record · LEDGER

Tight list replicability bounds via a novel sphere covering theorem

As of 24 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2606.06148.

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

pith.paper-citation-record.v1
2606.06148 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T02:07:34.167346Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:15:51.492960Z

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 exact4
  • verified fuzzy0
  • unresolved29
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 209614bc-3515-4c31-aaf6-3b215c69686d · outbound

This paper cites 2002 , publisher=.

Tight list replicability bounds via a novel sphere covering theorem 2002 , publisher=

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:60100efe01deb2e04a3f7c2dbe45de3a16921580873392c9aa00a216d28d2b91

Observation 82f8116b-5ec8-4ddb-a500-2a90d6126b9b · outbound

This paper cites 2003 , publisher=.

Tight list replicability bounds via a novel sphere covering theorem 2003 , publisher=

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:6405bfc583839376386dbea40c6b35ec1149769cf1b955274c7e7a37eacac301

Observation 7e92412b-cdba-41bb-94f5-377217dfecd3 · outbound

This paper cites 2000 , publisher=.

Tight list replicability bounds via a novel sphere covering theorem 2000 , publisher=

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:f9b3d5034a4bf3ba8fa32daddad6002e5975a7ac581fff75a56f6d93c297955f

Observation c4988de3-533f-4ec5-8ce8-682020443ca4 · outbound

This paper cites 1987 , publisher=.

Tight list replicability bounds via a novel sphere covering theorem 1987 , publisher=

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:858df7f07e4aa53cc4607cbb8025d03e5b3939226d4e1a31bf0f4dd478049ee5

Observation 5502e7ed-36c1-4903-b554-c9e1e1c43aac · outbound

This paper cites 2014 , publisher=.

Tight list replicability bounds via a novel sphere covering theorem 2014 , publisher=

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:819f6403a934c76b674d5f2a7413e1cda7a179c0d6b79464105b90be929065f2

Observation 6fadcf33-fbf2-43d3-8936-eb2dd9496bf7 · outbound

This paper cites Forty-second International Conference on Machine Learning , year=.

Tight list replicability bounds via a novel sphere covering theorem Forty-second International Conference on Machine Learning , year=

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:22e9511390a0820e2b05d4f27eaada5c4bd0c6bc91a6ca86bbf046991aadc56a

Observation 98a1f976-7c34-4208-95a0-80fb9b53d8f7 · outbound

This paper cites an unresolved cited work.

Tight list replicability bounds via a novel sphere covering theorem Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:009e81a94b7267cbf6e10c50d82bfe5703b1c7f73227ad8cb76f73dcb6b890ac

Observation 6d060e54-f32c-4ebf-acc6-873cb4ec165d · outbound

This paper cites and Radcliffe, Jamie and Vinodchandran, N.

Tight list replicability bounds via a novel sphere covering theorem and Radcliffe, Jamie and Vinodchandran, N

Reference 8

Resolution
verified exact
doi, observed 2026-06-28T02:11:29.010295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:c312a3837ddf0e068a75a04102adf288052020d5a0845ca29700320c3e5dc3b9

Observation 89c07dd8-94a6-44ba-a88d-1cac558e32e6 · outbound

This paper cites Proceedings of the 56th Annual ACM Symposium on Theory of Computing , pages =.

Tight list replicability bounds via a novel sphere covering theorem Proceedings of the 56th Annual ACM Symposium on Theory of Computing , pages =

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:1b0f857c6cbfa629ad44d9b4f52a3c0f5d26796ab782303ae10e28476137266d

Observation 566d6610-cd19-43e7-9c96-b372a8d3f5eb · outbound

This paper cites A theory of.

Tight list replicability bounds via a novel sphere covering theorem A theory of

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:0de2230ff03319d29a57816bd20d5819d26c0410051b05ae8428c02bf0633dfe

Observation 9d72afc7-56d7-4fcc-8cce-cc7ab8f64673 · outbound

This paper cites 2023 , volume =.

Tight list replicability bounds via a novel sphere covering theorem 2023 , volume =

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:b0198920689f0e75bbafa18338e78fb65405142ad962a66ed686b68b8d5af907

Observation f7062de4-eabb-4254-a16c-5fd1069007d5 · outbound

This paper cites and Vander Woude, Jason and Vinodchandran, N.

Tight list replicability bounds via a novel sphere covering theorem and Vander Woude, Jason and Vinodchandran, N

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:ab31d09125bd74eb64e9abe72c296b7e4659b6c0058deea705fb1bef6b830654

Observation 2c1d24bf-cbdc-4b30-8808-ffa1accb9b38 · outbound

This paper cites Patterns , author =.

Tight list replicability bounds via a novel sphere covering theorem Patterns , author =

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:7267a979a2d459d7d346a52cdc61145b2b3bfd5e98064de647b93185e76cd90e

Observation 42c1fd7c-8c0f-40dc-8d14-e0e9f51ae1bc · outbound

This paper cites , author=.

Tight list replicability bounds via a novel sphere covering theorem , author=

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:b20d2771bec799fbc1a94254be631deb3361343e5d519ef8bed8bcf9303c3dd2

Observation 1842d635-df6c-422e-939c-3bc0d57ec949 · outbound

This paper cites and Pitts, Walter , TITLE =.

Tight list replicability bounds via a novel sphere covering theorem and Pitts, Walter , TITLE =

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:320d166d5dc83e1c872b21474abd0f39628e1cccb33f50220369f4f43d39df56

Observation b8663bc8-786c-4aaa-9dbf-ceabb8457f04 · outbound

This paper cites 2025 , eprint=.

Tight list replicability bounds via a novel sphere covering theorem 2025 , eprint=

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:784fbf33cd8e85fa3a6f08d43447e5cb5e21206918900db956be2aed7e9ba340

Observation bf7aac6c-0156-45b3-8d87-d1e4cd641766 · outbound

This paper cites Spherical dimension.

Tight list replicability bounds via a novel sphere covering theorem Spherical dimension

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-02T12:26:56.972297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:8cfe497110326cbe5891e4acc286896abdd40121170dfc6b49bd65cda7f2b95e

Observation 5defdfb0-9f27-492a-8a9e-e6f5fbbcc8d2 · outbound

This paper cites Simpli- cial covering dimension of extremal concept classes.arXiv preprint arXiv:2511.11819.

Tight list replicability bounds via a novel sphere covering theorem Simpli- cial covering dimension of extremal concept classes.arXiv preprint arXiv:2511.11819

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-02T12:26:56.967477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:3b8e25dcf5b36d88f15d25e9e88fc4611f918b3ad413264dd34b9e426e4bcd45

Observation 6cfb9f89-cfd1-4a53-8189-2ae8f368fb4e · outbound

This paper cites Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing , pages =.

Tight list replicability bounds via a novel sphere covering theorem Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing , pages =

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:11c06453e424b05e0e7a635ae6d929270cda220e233a3b9c1294e3236528d81a

Observation 0c56e999-ddc7-4bc4-a4c9-595c4925b764 · outbound

This paper cites Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing , pages =.

Tight list replicability bounds via a novel sphere covering theorem Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing , pages =

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:c1208da5f3bdd3756ad67d8c91151b9efdfa3c687c03d8657fd24b60452f4b44

Observation cac7a955-191b-49c0-8117-d52e2f43d910 · outbound

This paper cites an unresolved cited work.

Tight list replicability bounds via a novel sphere covering theorem Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:83b5b01bdd0b1a631d699bcab0292f3569b3b0b23d6b9ecc2878491e9da6fdbd

Observation df782950-5527-4cda-8135-fe5f7cceb69b · outbound

This paper cites an unresolved cited work.

Tight list replicability bounds via a novel sphere covering theorem Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:9a9328595e47cfb2f79e692b2314a5dd58f5f043018e3aa1b204631cbfc96b7b

Observation 7c49c71a-6564-41e1-8ca5-e7246c1021d3 · outbound

This paper cites an unresolved cited work.

Tight list replicability bounds via a novel sphere covering theorem Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:1861babe38bf831f9a91461a2562b3f10f6f9f391f64fd517ab6728c9cd7dc22

Observation 810379b6-f12a-4ec9-9872-aec64c37a876 · outbound

This paper cites An Equivalence Between Private Classification and Online Prediction , year=.

Tight list replicability bounds via a novel sphere covering theorem An Equivalence Between Private Classification and Online Prediction , year=

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:fe6be257bb350edaf4099abeac2b6392f5c3e13d7143803f865b45ce82e17f2e

Observation 0fabfda3-e7bd-473d-8b5a-b5d21fb8ce6e · outbound

This paper cites The unstable formula theorem revisited via algorithms.

Tight list replicability bounds via a novel sphere covering theorem The unstable formula theorem revisited via algorithms

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-07-02T12:26:56.969906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:6c71902ce67dd36b70ea031a48d282f2bddc429d67d1e9d83b47b1f58fefcb09

Observation c1743590-2650-48a1-a554-7b185b448769 · outbound

This paper cites Proceedings of the 55th Annual ACM Symposium on Theory of Computing , series =.

Tight list replicability bounds via a novel sphere covering theorem Proceedings of the 55th Annual ACM Symposium on Theory of Computing , series =

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:b7ed96f9d5efecdc67b49b7fd2edf5b90e3916ff327a48f37473c4890995bebb

Observation ec0f81af-ccb2-41bd-9990-793bc5573083 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Tight list replicability bounds via a novel sphere covering theorem Advances in Neural Information Processing Systems , volume=

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:86d8a82e9cf60f1d07f78ecb9a23101568d4064c645917d60dde878da1575e35

Observation eadf23d1-ae49-401b-8597-53556230b777 · outbound

This paper cites The Eleventh International Conference on Learning Representations , year=.

Tight list replicability bounds via a novel sphere covering theorem The Eleventh International Conference on Learning Representations , year=

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:871899e4ad5e691b751ea89aac0ebc07cc35e9874e3c5974d3160476b5ccd29e

Observation c37c8945-4d59-4ca1-b857-3d5bed71a995 · outbound

This paper cites Replicable Clustering , url =.

Tight list replicability bounds via a novel sphere covering theorem Replicable Clustering , url =

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:4ebbe169c40eebb8404dc74914d003093b921710f20e9adbc04ad8e39fef590d

Observation f4cc12a7-bb2e-4131-8a5f-7855aa61c0c1 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Tight list replicability bounds via a novel sphere covering theorem Advances in Neural Information Processing Systems , volume=

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:87e37b2137ea87ed2beaf647e6ebe21cf405821bb6dff1676cb566ea30e96574

Observation 93b65a93-1fec-415d-b19d-833e61388701 · outbound

This paper cites Proceedings of the 37th International Conference on Neural Information Processing Systems , articleno =.

Tight list replicability bounds via a novel sphere covering theorem Proceedings of the 37th International Conference on Neural Information Processing Systems , articleno =

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:7e76180daabf348488a2779b1213480285be89d70c189482770d24d4d7dae7e7

Observation ad79d43e-d91a-4f10-9417-7a11d731db8b · outbound

This paper cites Proceedings of the 41st International Conference on Machine Learning , articleno =.

Tight list replicability bounds via a novel sphere covering theorem Proceedings of the 41st International Conference on Machine Learning , articleno =

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:6a9baa19fd3651f8f975038bd6a3937355061949f7ab17cf3e459740022f4f35

Observation 40d81307-43e7-4ae8-a9d1-ffe486a285cf · outbound

This paper cites Proceedings of the 40th International Conference on Machine Learning , articleno =.

Tight list replicability bounds via a novel sphere covering theorem Proceedings of the 40th International Conference on Machine Learning , articleno =

Reference 33

Resolution
unresolved
no resolver link, observed 2026-06-28T02:07:34.167346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-28T02:07:34.167346Z digest=sha256:4c94c7c5ac40d74fa71aba896f16ce786ab5b080e171a6c7ac9ad4ffd4e0f81f

Pith citing papers

Observation 42151aeb-6ea9-44b8-adb2-ce367d52d55b · inbound

Sign-Rank, Index, and List Replicability: Connections and Separations cites this paper.

Sign-Rank, Index, and List Replicability: Connections and Separations Tight list replicability bounds via a novel sphere covering theorem

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T11:15:51.492960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:15:51.492960Z digest=sha256:296fc689e69442e460f199c8f1186af0e82f6b26d3ea824d08ad7dfe5335960b