Paper Citation Record · LEDGER

Universal probability bounds for partial Latin squares

As of 12 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2606.18174.

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

pith.paper-citation-record.v1
2606.18174 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T23:37:21.762778Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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 fuzzy0
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0ed3ca6b-1004-4572-ba57-4b49a9d83144 · outbound

This paper cites Latin subrectangles.

Universal probability bounds for partial Latin squares Latin subrectangles

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0285c554-77b4-4fc1-bb97-667f697413a1 · outbound

This paper cites Subsquares in random Latin rectangles.

Universal probability bounds for partial Latin squares Subsquares in random Latin rectangles

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83110c53-2c1c-4405-bbef-792daf2e9d8b · outbound

This paper cites Almost every Latin square has a decomposition into transversals.

Universal probability bounds for partial Latin squares Almost every Latin square has a decomposition into transversals

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-03T22:19:00.491597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b22742eb-1a9d-44f2-8702-f1f69af52526 · outbound

This paper cites The theory and application of Latin bitrades: a survey.

Universal probability bounds for partial Latin squares The theory and application of Latin bitrades: a survey

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23858458-cf3f-4185-bd7e-5acd0d12017d · outbound

This paper cites The cycle structure of two rows in a random Latin square.

Universal probability bounds for partial Latin squares The cycle structure of two rows in a random Latin square

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4afd1a26-64f3-4296-b018-3bca5b8d92aa · outbound

This paper cites Subsquares in Random Latin Squares and Rect- angles.

Universal probability bounds for partial Latin squares Subsquares in Random Latin Squares and Rect- angles

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ade7185-6e98-438f-bb7d-fc47f391e68f · outbound

This paper cites The completion of partial Latin squares.

Universal probability bounds for partial Latin squares The completion of partial Latin squares

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67980eb4-2ff1-42a9-8439-a661791eab37 · outbound

This paper cites Thresholds versus fractional expectation- thresholds.

Universal probability bounds for partial Latin squares Thresholds versus fractional expectation- thresholds

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fad8988-19a3-4808-96ce-e40d63c179d1 · outbound

This paper cites Canonical labeling of Latin squares in average-case polynomial time.

Universal probability bounds for partial Latin squares Canonical labeling of Latin squares in average-case polynomial time

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ea714a4-4302-4fa6-ba8f-0048e8d7ba4e · outbound

This paper cites Asymptotic enumeration of Latin rectangles.

Universal probability bounds for partial Latin squares Asymptotic enumeration of Latin rectangles

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f257e3bc-7e0f-4318-bd68-ef63ff41943d · outbound

This paper cites Combinatorial estimates by the switching method.

Universal probability bounds for partial Latin squares Combinatorial estimates by the switching method

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7e16e11-9e86-4ef0-9556-4413e831ed6d · outbound

This paper cites Generating uniformly distributed random Latin squares.

Universal probability bounds for partial Latin squares Generating uniformly distributed random Latin squares

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42a06e1e-f5a2-415d-bc29-358fd68f631d · outbound

This paper cites OptimalthresholdsforLatinsquares,Steinertriplesystems,andedgecol- orings.

Universal probability bounds for partial Latin squares OptimalthresholdsforLatinsquares,Steinertriplesystems,andedgecol- orings

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa99c90e-321a-441d-976a-fa6faa8902e0 · outbound

This paper cites Janson, T.

Universal probability bounds for partial Latin squares Janson, T

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6fea8a55-2ff8-4960-9069-1e8970a3843f · outbound

This paper cites Thresholds for Latin squares and Steiner triple systems: bounds within a logarithmic factor.

Universal probability bounds for partial Latin squares Thresholds for Latin squares and Steiner triple systems: bounds within a logarithmic factor

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07dc8282-8b96-4534-8efb-73fb73a20cf3 · outbound

This paper cites The optimal edge-colouring threshold.

Universal probability bounds for partial Latin squares The optimal edge-colouring threshold

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-03T22:19:00.486489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1f1f03bb-df4d-44eb-aac5-bd115fb2de4a · outbound

This paper cites Nibble Methods in Graph Theory.

Universal probability bounds for partial Latin squares Nibble Methods in Graph Theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8588d21-979d-454d-9850-e3d118b32236 · outbound

This paper cites Almost all Steiner triple systems have perfect matchings.

Universal probability bounds for partial Latin squares Almost all Steiner triple systems have perfect matchings

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b61e2303-4c9b-4d5e-832a-4e7aeb549c41 · outbound

This paper cites Parities in random Latin squares.

Universal probability bounds for partial Latin squares Parities in random Latin squares

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-03T22:19:00.488978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d5fab18b-5bc5-4ffa-acd3-727612ddd193 · outbound

This paper cites Large deviations in random Latin squares.

Universal probability bounds for partial Latin squares Large deviations in random Latin squares

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c800efe-8550-497c-8608-16c2de7934bf · outbound

This paper cites Substructures in Latin squares.

Universal probability bounds for partial Latin squares Substructures in Latin squares

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5da39f71-f14b-47ef-8017-4974e0b5cd33 · outbound

This paper cites Intercalates and discrepancy in random Latin squares.

Universal probability bounds for partial Latin squares Intercalates and discrepancy in random Latin squares

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 893b5ed4-6b08-4f1c-bc79-6eaca5193f55 · outbound

This paper cites an unresolved cited work.

Universal probability bounds for partial Latin squares Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1811e8f6-a337-47b9-a432-e0ef70367d86 · outbound

This paper cites OnthethresholdproblemforLatinboxes.

Universal probability bounds for partial Latin squares OnthethresholdproblemforLatinboxes

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00e409cb-26dc-45e4-b8bc-523ebbb8648b · outbound

This paper cites Most Latin squares have many subsquares.

Universal probability bounds for partial Latin squares Most Latin squares have many subsquares

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 657d327a-4200-4b4b-a842-fd8e3c250600 · outbound

This paper cites Mappings of Latin squares.

Universal probability bounds for partial Latin squares Mappings of Latin squares

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5897cda3-a2a0-4e42-a1f9-f4c4f0af1925 · outbound

This paper cites A combinatorial theorem with an application to Latin rectangles.

Universal probability bounds for partial Latin squares A combinatorial theorem with an application to Latin rectangles

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20126c40-0039-4106-94d2-572fc5be2d53 · outbound

This paper cites Threshold for Steiner triple systems.

Universal probability bounds for partial Latin squares Threshold for Steiner triple systems

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e06d198e-01a6-4d00-bdfd-3a6fcaa2d8c8 · outbound

This paper cites Cycle switches in Latin squares.

Universal probability bounds for partial Latin squares Cycle switches in Latin squares

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-26T23:37:21.762778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.