Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:05:23.153598Z
Paper Citation Record · LEDGER
Maximal pattern complexity and structure of null systems
As of 11 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2608.06103.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
25 of 25 outbound references displayed
- verified exact2
- verified fuzzy15
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 12ef5cac-5387-405d-bca6-9128eca55541 · outbound
This paper cites Hoeffding,Probability inequalities for sums of bounded random variables, J.
Maximal pattern complexity and structure of null systems Hoeffding,Probability inequalities for sums of bounded random variables, J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:28.018473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7a86a5b9-d26d-4fdd-8f30-545b66c0f302 · outbound
This paper cites von Neumann,Zur Theorie der Gesellschaftsspiele, Math.
Maximal pattern complexity and structure of null systems von Neumann,Zur Theorie der Gesellschaftsspiele, Math
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:27.888520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3518ef1f-5718-44c2-bc61-7a3a987f169a · outbound
This paper cites Scale-Sensitive Shattering: Learnability and Evaluability at Optimal Scale.
Maximal pattern complexity and structure of null systems Scale-Sensitive Shattering: Learnability and Evaluability at Optimal Scale
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:05:23.511410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cdeec89b-ea14-4c77-b676-e52ea68dad46 · outbound
This paper cites an unresolved cited work.
Maximal pattern complexity and structure of null systems Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:05:27.743541Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6c762b47-970c-4e0d-86f4-6bdf5f4f3d1b · outbound
This paper cites Banaszczyk,On the existence of commutative Banach–Lie groups which do not admit continuous unitary representations, Colloq.
Maximal pattern complexity and structure of null systems Banaszczyk,On the existence of commutative Banach–Lie groups which do not admit continuous unitary representations, Colloq
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:27.622948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5854d737-4b5b-4775-aa34-dbcdbe254dde · outbound
This paper cites Banaszczyk,Additive subgroups of topological vector spaces, Lecture Notes in Mathematics, vol.
Maximal pattern complexity and structure of null systems Banaszczyk,Additive subgroups of topological vector spaces, Lecture Notes in Mathematics, vol
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:27.438036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c212d480-4a3f-45df-993b-acc1277fdda4 · outbound
This paper cites Blanchard, B.
Maximal pattern complexity and structure of null systems Blanchard, B
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:27.234879Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 07b53b06-cb84-42a0-b12d-d50020f1cfb0 · outbound
This paper cites an unresolved cited work.
Maximal pattern complexity and structure of null systems Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:05:27.034719Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 60fa78ad-7318-48c0-9e75-79a1facd369f · outbound
This paper cites an unresolved cited work.
Maximal pattern complexity and structure of null systems Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:05:26.856423Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2e3f0b14-a4ae-4807-8c28-1f44bdfb2ec3 · outbound
This paper cites Glasner and X.
Maximal pattern complexity and structure of null systems Glasner and X
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:26.666031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9552d141-c625-475e-bdf7-81c8ce8b1c52 · outbound
This paper cites an unresolved cited work.
Maximal pattern complexity and structure of null systems Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:05:26.531837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 82d8f9f6-2d23-49b2-a15b-d7ebb068cdd4 · outbound
This paper cites Huang, S.
Maximal pattern complexity and structure of null systems Huang, S
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:26.343898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1bbdabc4-4bbe-48a1-94a8-46d0ed5b47da · outbound
This paper cites Huang and X.
Maximal pattern complexity and structure of null systems Huang and X
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:26.173146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 81a4c1ad-65cf-4b4c-b57f-4699eb1fd2d8 · outbound
This paper cites Huang and X.
Maximal pattern complexity and structure of null systems Huang and X
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:26.021082Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation da36392b-a8b1-4202-a8cd-98d1575ef360 · outbound
This paper cites Kamae and L.
Maximal pattern complexity and structure of null systems Kamae and L
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:25.888136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7d2112a5-50e8-46af-80ee-d50db1b75f11 · outbound
This paper cites Kamae and L.
Maximal pattern complexity and structure of null systems Kamae and L
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:25.703573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 17fdfe9f-9b04-4e56-980a-3dbca3e7a60f · outbound
This paper cites Kerr and H.
Maximal pattern complexity and structure of null systems Kerr and H
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:25.443494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3021e04a-8650-4a0b-ab8e-5a5cc16983c5 · outbound
This paper cites an unresolved cited work.
Maximal pattern complexity and structure of null systems Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:05:25.233578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 47bd8972-b2a2-4e7a-9070-5d6ba126bb88 · outbound
This paper cites On subshifts with low maximal pattern complexity.
Maximal pattern complexity and structure of null systems On subshifts with low maximal pattern complexity
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T15:05:23.312748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f41c000f-b1df-49f2-b190-55bd8191ae40 · outbound
This paper cites an unresolved cited work.
Maximal pattern complexity and structure of null systems Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:05:24.990404Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8fbd566e-81b0-48c8-8534-5e6f7139e2f3 · outbound
This paper cites an unresolved cited work.
Maximal pattern complexity and structure of null systems Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:05:24.776511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 53633825-35c3-42ae-89ce-9127dfe94bb0 · outbound
This paper cites an unresolved cited work.
Maximal pattern complexity and structure of null systems Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:05:24.472115Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cfab9a81-b60b-4309-acc4-5dbb59dc7ced · outbound
This paper cites Qiu and J.
Maximal pattern complexity and structure of null systems Qiu and J
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:24.222798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bcfef165-3259-4141-a4f5-303ed29e0f37 · outbound
This paper cites Schlortt,On the structure of sequences with minimal maximal pattern complexity, Ergodic Theory Dynam.
Maximal pattern complexity and structure of null systems Schlortt,On the structure of sequences with minimal maximal pattern complexity, Ergodic Theory Dynam
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:24.013379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e125cfe4-4972-481f-99f5-4aa356847dc5 · outbound
This paper cites Walters,An introduction to ergodic theory, Graduate Texts in Mathematics, vol.
Maximal pattern complexity and structure of null systems Walters,An introduction to ergodic theory, Graduate Texts in Mathematics, vol
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:05:23.780073Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.