Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T13:00:05.372957Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 4 inbound Pith citation observations for arXiv:2501.16517.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T13:00:05.372957Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:19:00.815787Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T21:11:20.527345Z
53 of 53 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation cdbfd07d-2f84-4eb8-9e6c-db71cd30c344 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Generating hard instances of lattice problems (extended abstract)
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 804dc21b-272a-4d7f-ba56-12e3d84f76ea · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Proof of the contiguity conjecture and lognormal limit for the symmetric perceptron, 2021
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4953f130-9f47-48ae-9fbb-4db9e56a2afe · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Binary perceptron: efficient algorithms can find solutions in a rare well-connected cluster
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7598a15c-996b-4fac-bd28-da8dfa5d789f · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Storage capacity in symmetric binary perceptrons
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 165e8b9b-b002-4252-8e3e-a7f5c784044e · outbound
Symmetric Perceptrons, Number Partitioning and Lattices On the solution-space geometry of random constraint satisfaction problems
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation df02734b-491b-4043-8a37-0b64e1dd1cf0 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Constructive algorithms for discrepancy minimization
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 04502fd0-37b3-4645-b85a-554cb0fee968 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Clustering of solutions in the symmetric binary perceptron
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cfff8483-2835-451e-aed1-10adb7ceb2df · outbound
Symmetric Perceptrons, Number Partitioning and Lattices On the atypical solutions of the symmetric binary perceptron
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c0726a65-d33c-4fc1-86c4-ba1c366e5abf · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Noise-tolerant learning, the parity problem, and the statistical query model
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1f460317-bcd6-48d5-b945-81f99954666b · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Classical hardness of learning with errors
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b6537421-104e-4180-b75f-13a486d506c7 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Continuous LWE
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5a234f3f-939c-4c60-9598-d41c4c132161 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3ba06d02-5a32-49d7-9209-a7acdf229116 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Constrained key-homomorphic prfs from standard lattice assumptions - or: How to secretly embed a circuit in your PRF
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bd53712a-7b05-4915-93a1-fb3a34b3f875 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 08cbdfb0-0b98-4482-a08c-facae0b87022 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Cryptographic hardness of learning halfspaces with massart noise
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 92ac94a4-815b-446f-8938-340c50a47bb5 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Near-optimal cryptographic hardness of agnostically learning halfspaces and relu regression under gaussian marginals
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d251d24c-67ee-4eb1-9a79-6592c52f16b8 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices The overlap gap property: A topological barrier to optimizing over random structures
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d1e55bf-fd5c-4d12-9c41-9b55d29e5d88 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1665e42-df42-47d7-a97f-0bda073834e4 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Kızıldağ
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bc39bfd2-8690-4cd6-a68a-887bbe70a8e1 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Kizildag, Will Perkins, and Changji Xu
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8bc89629-4168-4494-9cc9-62a973ab8ce9 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Kizildag, Will Perkins, and Changji Xu
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation add4c577-5697-4971-b929-d1946a85f5da · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Kim, Vinod Vaikuntanathan, and Or Zamir
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3ebf0166-dad1-4b51-a668-a5f636930f73 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Finding a large submatrix of a gaussian random matrix
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b286d57e-ea76-4118-b0d9-1357ad5076cb · outbound
Symmetric Perceptrons, Number Partitioning and Lattices The complexity of the covering radius problem on lattices and codes
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 17e86f94-79e8-41e0-9f8b-c443de8dd3d4 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Continuous LWE is as hard as LWE & applications to learning gaussian mixtures
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6d6964b1-1b97-46b1-a427-415535f0ff61 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Number balancing is as hard as minkowski's theorem and shortest vector
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fa945ebd-24e6-4e43-b015-15add57d9fe8 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices The number of orthants in n-space intersected by an s-dimensional subspace
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6aa045a6-c0ff-46dc-b9ac-b35e4496ff54 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Extensions of lipschitz mappings into a hilbert space
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1bb56240-396d-45d4-b2ec-2d163ac97bdd · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Improved algorithms for integer programming and related lattice problems
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a9427f00-368d-4fd6-8017-38c3dd250f0c · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Minkowski's convex body theorem and integer programming
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0c1aad61-349a-4cde-a90f-693ee5817acc · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 412ee683-d44f-47b7-a52e-26c432e889e2 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Probabilistic analysis of optimum partitioning
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8a999589-6a1b-4e5f-bbb5-006e0e005f2b · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Factoring polynomials with rational coefficients
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2523d8dc-1755-422b-993c-6b41dbd6011e · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Adaptive estimation of a quadratic functional by model selection
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9992d0db-9e15-46b5-8418-d803c2fb7118 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Constructive discrepancy minimization by walking on the edges
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a38059c5-25de-478c-9210-d2dbe3cbff2b · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Deterministic discrepancy minimization via the multiplicative weight update method
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2c55efb4-9ab9-42d4-b41e-8aac4cb21ac0 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Almost perfect lattices, the covering radius problem, and applications to ajtai's connection factor
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f221f4f5-cb92-4fda-a7f3-44a731f6f3dd · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Mézard, T
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a5ba080e-c2d5-4ce7-b5ce-f8ead02376bb · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Worst-case to average-case reductions based on gaussian measures
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7c167d16-4224-4db6-b44a-d52640701e96 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Frozen 1-rsb structure of the symmetric ising perceptron
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b99138d0-fcff-4852-9f2a-a5d1424b4d69 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Lattices in computer science - average-case hardness
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation dd21fd0e-18d2-4d4e-a295-171e85ecd91c · outbound
Symmetric Perceptrons, Number Partitioning and Lattices On lattices, learning with errors, random linear codes, and cryptography
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 825f64f1-6058-44df-b793-511c2b504879 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Constructive discrepancy minimization for convex sets
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ff67faeb-0302-4480-b9e5-532770790bde · outbound
Symmetric Perceptrons, Number Partitioning and Lattices The subspace flatness conjecture and faster integer programming
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 746fc6d4-7e56-4fad-97d3-67a5fecc4fcc · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Non-asymptotic theory of random matrices: extreme singular values
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff7f78d2-d008-4554-9e74-8ade1b943b75 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices A hierarchy of polynomial time lattice basis reduction algorithms
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 96f3c029-b999-4e11-a667-7a660fede738 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Six standard deviations suffice
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d4a56276-8be7-4830-b3a8-577e759c2432 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices On the cryptographic hardness of learning single periodic neurons
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation aca16068-dbe7-4f27-8c4d-6e5de845d962 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Hardness of agnostically learning halfspaces from worst-case lattice problems
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 642d5c95-21a7-46e8-90ff-d29e162f9171 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Balancing gaussian vectors in high dimension
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e8708142-d36b-4228-ac89-82fa6df14bc1 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c956ea69-f0bc-4ebd-8201-7c190c6c7b23 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices The differencing algorithm ldm for partitioning: A proof of a conjecture of karmarkar and karp
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fc88ae5c-1bfe-4dcb-9a88-6452cc2d0a68 · outbound
Symmetric Perceptrons, Number Partitioning and Lattices Wein, and Joan Bruna
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7c90cd0d-e43b-47bd-a79b-0183754b622f · inbound
Strong Low Degree Hardness for the Number Partitioning Problem Symmetric Perceptrons, Number Partitioning and Lattices
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9b1e8f82-daa4-491b-a04a-86a075442119 · inbound
Computational Complexity of Statistics: New Insights from Low-Degree Polynomials Symmetric Perceptrons, Number Partitioning and Lattices
Reference 2008
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4e3677b-66e2-4f5a-8bf6-14b9c59b8c13 · inbound
Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs Symmetric Perceptrons, Number Partitioning and Lattices
Reference 105
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cff9d59e-a946-410d-b926-671a616b47c4 · inbound
TCS-BENCH: Benchmarking State-of-the-Art Generative AI Theoretical Computer Science Research Ability Symmetric Perceptrons, Number Partitioning and Lattices
Reference 150
Source-reported events for the cited work
Unavailable: canonical work link unavailable.