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Paper Citation Record · LEDGER

Symmetric Perceptrons, Number Partitioning and Lattices

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.

pith.paper-citation-record.v1
2501.16517 v2

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T13:00:05.372957Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:19:00.815787Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T21:11:20.527345Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact0
  • verified fuzzy45
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cdbfd07d-2f84-4eb8-9e6c-db71cd30c344 · outbound

This paper cites Generating hard instances of lattice problems (extended abstract).

Symmetric Perceptrons, Number Partitioning and Lattices Generating hard instances of lattice problems (extended abstract)

Reference 1

Resolution
verified fuzzy
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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.

source=arxiv_source observed=2026-08-10T13:00:05.234799Z digest=sha256:eb9a2960181d7764c8542b5c9dbc856c7f785e3b8535abeeac317c3525887b84

Observation 804dc21b-272a-4d7f-ba56-12e3d84f76ea · outbound

This paper cites Proof of the contiguity conjecture and lognormal limit for the symmetric perceptron, 2021.

Symmetric Perceptrons, Number Partitioning and Lattices Proof of the contiguity conjecture and lognormal limit for the symmetric perceptron, 2021

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.770512Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.238951Z digest=sha256:e60c2d9be0caf2504c65045efd241a9568ac14199ca84c09008e894920e0a549

Observation 4953f130-9f47-48ae-9fbb-4db9e56a2afe · outbound

This paper cites Binary perceptron: efficient algorithms can find solutions in a rare well-connected cluster.

Symmetric Perceptrons, Number Partitioning and Lattices Binary perceptron: efficient algorithms can find solutions in a rare well-connected cluster

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.764059Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.242262Z digest=sha256:1e45af72a267a7f6b16bd8e7ffec577928a5837bf5e964ec12510ebb8ef06e9b

Observation 7598a15c-996b-4fac-bd28-da8dfa5d789f · outbound

This paper cites Storage capacity in symmetric binary perceptrons.

Symmetric Perceptrons, Number Partitioning and Lattices Storage capacity in symmetric binary perceptrons

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.757568Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.244988Z digest=sha256:484382032d9a64d58e5a60bf01f46a1935a1525e6e473ef338c79f9043f9c7db

Observation 165e8b9b-b002-4252-8e3e-a7f5c784044e · outbound

This paper cites On the solution-space geometry of random constraint satisfaction problems.

Symmetric Perceptrons, Number Partitioning and Lattices On the solution-space geometry of random constraint satisfaction problems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.750401Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.248068Z digest=sha256:7d6bd0f0643bb666d914e7a87dbcbf240600734bb6bb2d3b7c1747f8025e44af

Observation df02734b-491b-4043-8a37-0b64e1dd1cf0 · outbound

This paper cites Constructive algorithms for discrepancy minimization.

Symmetric Perceptrons, Number Partitioning and Lattices Constructive algorithms for discrepancy minimization

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.742105Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.250849Z digest=sha256:58954d534303fa088a12d49c1fc95f39cd99a8dad975f1ff383d44c265df2b8b

Observation 04502fd0-37b3-4645-b85a-554cb0fee968 · outbound

This paper cites Clustering of solutions in the symmetric binary perceptron.

Symmetric Perceptrons, Number Partitioning and Lattices Clustering of solutions in the symmetric binary perceptron

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.733028Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.253907Z digest=sha256:e1800f8bfb59fb3832de8a690e7124a4a457c560ba94d12389996bec5a69a76f

Observation cfff8483-2835-451e-aed1-10adb7ceb2df · outbound

This paper cites On the atypical solutions of the symmetric binary perceptron.

Symmetric Perceptrons, Number Partitioning and Lattices On the atypical solutions of the symmetric binary perceptron

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.722822Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.256508Z digest=sha256:7439b9b2fd0573a8c20b4b66396d38d1452ec1f09b999ed1f4c8be03a580f1a5

Observation c0726a65-d33c-4fc1-86c4-ba1c366e5abf · outbound

This paper cites Noise-tolerant learning, the parity problem, and the statistical query model.

Symmetric Perceptrons, Number Partitioning and Lattices Noise-tolerant learning, the parity problem, and the statistical query model

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.713105Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.259444Z digest=sha256:9f97db4eba6fc2b31d87a3d4f30e8b28c807436e6a8df007d2a2d3efe7ba0f40

Observation 1f460317-bcd6-48d5-b945-81f99954666b · outbound

This paper cites Classical hardness of learning with errors.

Symmetric Perceptrons, Number Partitioning and Lattices Classical hardness of learning with errors

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.705395Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.262409Z digest=sha256:86da4b356e0cc5e70d1ee94d1abb96abd7c916ef7881943d5c95a662ce34237d

Observation b6537421-104e-4180-b75f-13a486d506c7 · outbound

This paper cites Continuous LWE.

Symmetric Perceptrons, Number Partitioning and Lattices Continuous LWE

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.697460Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.264629Z digest=sha256:246b87912b45254a4c59179befbe96dc1e03548456dd341eca9f241253b37ea9

Observation 5a234f3f-939c-4c60-9598-d41c4c132161 · outbound

This paper cites an unresolved cited work.

Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:00:05.690104Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.267490Z digest=sha256:68893c305209d5d0c33a97518d334c324e538c6952024e307f47563c510dcd82

Observation 3ba06d02-5a32-49d7-9209-a7acdf229116 · outbound

This paper cites Constrained key-homomorphic prfs from standard lattice assumptions - or: How to secretly embed a circuit in your PRF.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.682484Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.270799Z digest=sha256:f8ce443db516cb51c58918f08dc6a48bee97b084763929e0e27c65f3dff2048d

Observation bd53712a-7b05-4915-93a1-fb3a34b3f875 · outbound

This paper cites an unresolved cited work.

Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:00:05.674611Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.273536Z digest=sha256:a6dd8f065b5b3ffa25c420dc016ddfeed0a03a552ed8f883e7eacc68596e8888

Observation 08cbdfb0-0b98-4482-a08c-facae0b87022 · outbound

This paper cites Cryptographic hardness of learning halfspaces with massart noise.

Symmetric Perceptrons, Number Partitioning and Lattices Cryptographic hardness of learning halfspaces with massart noise

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.666403Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.275844Z digest=sha256:9bf30c0f7abbab27e2d3b896d1142c66110b6b7f5eee0f5c9c5a21a402c19f70

Observation 92ac94a4-815b-446f-8938-340c50a47bb5 · outbound

This paper cites Near-optimal cryptographic hardness of agnostically learning halfspaces and relu regression under gaussian marginals.

Symmetric Perceptrons, Number Partitioning and Lattices Near-optimal cryptographic hardness of agnostically learning halfspaces and relu regression under gaussian marginals

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.657812Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.282831Z digest=sha256:dc3ddb3e5a13122530f1dd646aec455021979afcea2282e2c869b3e3cdec73cf

Observation d251d24c-67ee-4eb1-9a79-6592c52f16b8 · outbound

This paper cites The overlap gap property: A topological barrier to optimizing over random structures.

Symmetric Perceptrons, Number Partitioning and Lattices The overlap gap property: A topological barrier to optimizing over random structures

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T13:00:05.287808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T13:00:05.287808Z digest=sha256:76ed9012a0eddabfc17c195291458b8224e4cd3e383774ccc8e7c2c84725170b

Observation 6d1e55bf-fd5c-4d12-9c41-9b55d29e5d88 · outbound

This paper cites an unresolved cited work.

Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-10T13:00:05.290189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T13:00:05.290189Z digest=sha256:6dd9f7bbbf10f4aff0e5ed982dd2873ec4017c307d7de43268a10984c5297856

Observation e1665e42-df42-47d7-a97f-0bda073834e4 · outbound

This paper cites Kızıldağ.

Symmetric Perceptrons, Number Partitioning and Lattices Kızıldağ

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.644481Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.292431Z digest=sha256:20fb0c67a6623a68a114f7e7b94340de9c5ee101d30c3c2227020ee36ff19c0d

Observation bc39bfd2-8690-4cd6-a68a-887bbe70a8e1 · outbound

This paper cites Kizildag, Will Perkins, and Changji Xu.

Symmetric Perceptrons, Number Partitioning and Lattices Kizildag, Will Perkins, and Changji Xu

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.639223Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.294643Z digest=sha256:8c1c311a36519219edd0a564edaec45d4c0edddfbd52a8c6587d0c3a2827734e

Observation 8bc89629-4168-4494-9cc9-62a973ab8ce9 · outbound

This paper cites Kizildag, Will Perkins, and Changji Xu.

Symmetric Perceptrons, Number Partitioning and Lattices Kizildag, Will Perkins, and Changji Xu

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.633986Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.297124Z digest=sha256:56d13b0fbfd6aaf4a22582081c3596f99f898eeaa29a43c9f449f35af6a56a66

Observation add4c577-5697-4971-b929-d1946a85f5da · outbound

This paper cites Kim, Vinod Vaikuntanathan, and Or Zamir.

Symmetric Perceptrons, Number Partitioning and Lattices Kim, Vinod Vaikuntanathan, and Or Zamir

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.625920Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.299778Z digest=sha256:574d55a95fb8eafe88ed15a02fc72e99cea4b1a2ecea2b14ad13d2c4b6769247

Observation 3ebf0166-dad1-4b51-a668-a5f636930f73 · outbound

This paper cites Finding a large submatrix of a gaussian random matrix.

Symmetric Perceptrons, Number Partitioning and Lattices Finding a large submatrix of a gaussian random matrix

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.618225Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.302098Z digest=sha256:9e69c55200cf6cbfa54dbbc18133d1175905aa8823132f99cf98400b82e6c76b

Observation b286d57e-ea76-4118-b0d9-1357ad5076cb · outbound

This paper cites The complexity of the covering radius problem on lattices and codes.

Symmetric Perceptrons, Number Partitioning and Lattices The complexity of the covering radius problem on lattices and codes

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.610557Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.304098Z digest=sha256:7a5495c1016d15e502afab7b99ea4be91ee93de78cc1df78411bc850f06fe2dc

Observation 17e86f94-79e8-41e0-9f8b-c443de8dd3d4 · outbound

This paper cites Continuous LWE is as hard as LWE & applications to learning gaussian mixtures.

Symmetric Perceptrons, Number Partitioning and Lattices Continuous LWE is as hard as LWE & applications to learning gaussian mixtures

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.602106Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.306208Z digest=sha256:3b7c16cbbfabe89ce19fbf51356ba653c8b3edbe5bd36b90da03370c69a35774

Observation 6d6964b1-1b97-46b1-a427-415535f0ff61 · outbound

This paper cites Number balancing is as hard as minkowski's theorem and shortest vector.

Symmetric Perceptrons, Number Partitioning and Lattices Number balancing is as hard as minkowski's theorem and shortest vector

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.595473Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.308882Z digest=sha256:2add315bf8f183d105eaeaab42fe8fea8755d52f7500ce8b600fa725a959cbe0

Observation fa945ebd-24e6-4e43-b015-15add57d9fe8 · outbound

This paper cites The number of orthants in n-space intersected by an s-dimensional subspace.

Symmetric Perceptrons, Number Partitioning and Lattices The number of orthants in n-space intersected by an s-dimensional subspace

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.588600Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.310581Z digest=sha256:c4ee2ae278ba8afd791cb1e05b86b65dfb5c66f05b57604fe93f44be928fce87

Observation 6aa045a6-c0ff-46dc-b9ac-b35e4496ff54 · outbound

This paper cites Extensions of lipschitz mappings into a hilbert space.

Symmetric Perceptrons, Number Partitioning and Lattices Extensions of lipschitz mappings into a hilbert space

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.580677Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.312296Z digest=sha256:82aab5f77183753166be5983c2733e7f21c582e5e5bc20aba608a53a276812c7

Observation 1bb56240-396d-45d4-b2ec-2d163ac97bdd · outbound

This paper cites Improved algorithms for integer programming and related lattice problems.

Symmetric Perceptrons, Number Partitioning and Lattices Improved algorithms for integer programming and related lattice problems

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.572075Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.315320Z digest=sha256:3ea92894dba34dcd24ceef6a360d89a0d7fc919ba5074f37592692d699248245

Observation a9427f00-368d-4fd6-8017-38c3dd250f0c · outbound

This paper cites Minkowski's convex body theorem and integer programming.

Symmetric Perceptrons, Number Partitioning and Lattices Minkowski's convex body theorem and integer programming

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.564562Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.317284Z digest=sha256:a51ad5ca58690e6475a8fa38261abfc9b91c2afb3d5af84a62c8c6c0997fba8a

Observation 0c1aad61-349a-4cde-a90f-693ee5817acc · outbound

This paper cites an unresolved cited work.

Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:00:05.557588Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.319012Z digest=sha256:eebc7674b814a5f7953a35351283c58e101a2cc498975c853e64a2119c2a89e3

Observation 412ee683-d44f-47b7-a52e-26c432e889e2 · outbound

This paper cites Probabilistic analysis of optimum partitioning.

Symmetric Perceptrons, Number Partitioning and Lattices Probabilistic analysis of optimum partitioning

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.551638Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.322534Z digest=sha256:2d11a0afa3b40f8f447c4717ced2f328b270df14751ea5090460b81d82728d0d

Observation 8a999589-6a1b-4e5f-bbb5-006e0e005f2b · outbound

This paper cites Factoring polynomials with rational coefficients.

Symmetric Perceptrons, Number Partitioning and Lattices Factoring polynomials with rational coefficients

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.545736Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.325061Z digest=sha256:040afb205735213b4555be6a7813165be8e3895bdcdfff77d0396f34353611a5

Observation 2523d8dc-1755-422b-993c-6b41dbd6011e · outbound

This paper cites Adaptive estimation of a quadratic functional by model selection.

Symmetric Perceptrons, Number Partitioning and Lattices Adaptive estimation of a quadratic functional by model selection

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-10T13:00:05.327377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T13:00:05.327377Z digest=sha256:b452f97596476b27565aa22ddf1755f129735728028c851b7d0d331752bb4c70

Observation 9992d0db-9e15-46b5-8418-d803c2fb7118 · outbound

This paper cites Constructive discrepancy minimization by walking on the edges.

Symmetric Perceptrons, Number Partitioning and Lattices Constructive discrepancy minimization by walking on the edges

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.535400Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.330021Z digest=sha256:b806a6e4582321cd01a064f20d9fcb7ac262da826a44159a7e36e0b845d57e11

Observation a38059c5-25de-478c-9210-d2dbe3cbff2b · outbound

This paper cites Deterministic discrepancy minimization via the multiplicative weight update method.

Symmetric Perceptrons, Number Partitioning and Lattices Deterministic discrepancy minimization via the multiplicative weight update method

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.528228Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.333027Z digest=sha256:d32685c9627cffdf91e2c3195b90e03c465fd7148ace20659adf675bd1006dfb

Observation 2c55efb4-9ab9-42d4-b41e-8aac4cb21ac0 · outbound

This paper cites Almost perfect lattices, the covering radius problem, and applications to ajtai's connection factor.

Symmetric Perceptrons, Number Partitioning and Lattices Almost perfect lattices, the covering radius problem, and applications to ajtai's connection factor

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.520807Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.335811Z digest=sha256:a782c596818fee4c9589b72e2f3ccf294a753ebe87372183978eae765f42c4e2

Observation f221f4f5-cb92-4fda-a7f3-44a731f6f3dd · outbound

This paper cites Mézard, T.

Symmetric Perceptrons, Number Partitioning and Lattices Mézard, T

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.512829Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.338283Z digest=sha256:5dedd4423b6035b91b12f83d80644d074e8bc792bbb9bb5df68015891a2279fb

Observation a5ba080e-c2d5-4ce7-b5ce-f8ead02376bb · outbound

This paper cites Worst-case to average-case reductions based on gaussian measures.

Symmetric Perceptrons, Number Partitioning and Lattices Worst-case to average-case reductions based on gaussian measures

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.503379Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.340724Z digest=sha256:0d9fe6e2440ef4aebe5d022741b404c8114097c4f658a62b60d1e74f7ae24eae

Observation 7c167d16-4224-4db6-b44a-d52640701e96 · outbound

This paper cites Frozen 1-rsb structure of the symmetric ising perceptron.

Symmetric Perceptrons, Number Partitioning and Lattices Frozen 1-rsb structure of the symmetric ising perceptron

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.494888Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.343198Z digest=sha256:8ca2a7c851ed524a0f6480046ce111edaacfcdf70c90d0027f4b73618c110882

Observation b99138d0-fcff-4852-9f2a-a5d1424b4d69 · outbound

This paper cites Lattices in computer science - average-case hardness.

Symmetric Perceptrons, Number Partitioning and Lattices Lattices in computer science - average-case hardness

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.487196Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.345425Z digest=sha256:f6e89dd5ca163e90300f84848ce8719cf95ccecd82a6466bf1e2256edb0482bd

Observation dd21fd0e-18d2-4d4e-a295-171e85ecd91c · outbound

This paper cites On lattices, learning with errors, random linear codes, and cryptography.

Symmetric Perceptrons, Number Partitioning and Lattices On lattices, learning with errors, random linear codes, and cryptography

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.479807Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.347857Z digest=sha256:58cf2c9f3b7132f861f9b0a6228e51d4e0064181c39de9b165e2b2e0fff9dd1f

Observation 825f64f1-6058-44df-b793-511c2b504879 · outbound

This paper cites Constructive discrepancy minimization for convex sets.

Symmetric Perceptrons, Number Partitioning and Lattices Constructive discrepancy minimization for convex sets

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.471618Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.350191Z digest=sha256:33d4e0d442f4972412eec3a0c6f2fd768b6e6cdba7e2bdc3a9ae641dc5d4c343

Observation ff67faeb-0302-4480-b9e5-532770790bde · outbound

This paper cites The subspace flatness conjecture and faster integer programming.

Symmetric Perceptrons, Number Partitioning and Lattices The subspace flatness conjecture and faster integer programming

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.463206Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.352535Z digest=sha256:a52651331c4fe8ce8c6b2fcd580a95b777a7aa2eb7b38ea0b580027d936ce2e9

Observation 746fc6d4-7e56-4fad-97d3-67a5fecc4fcc · outbound

This paper cites Non-asymptotic theory of random matrices: extreme singular values.

Symmetric Perceptrons, Number Partitioning and Lattices Non-asymptotic theory of random matrices: extreme singular values

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-10T13:00:05.354845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T13:00:05.354845Z digest=sha256:6e2a2aca6d8d6fd04841004eb8620d24a12f23de42c75ba0432674cc841f54cd

Observation ff7f78d2-d008-4554-9e74-8ade1b943b75 · outbound

This paper cites A hierarchy of polynomial time lattice basis reduction algorithms.

Symmetric Perceptrons, Number Partitioning and Lattices A hierarchy of polynomial time lattice basis reduction algorithms

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.448877Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.357460Z digest=sha256:54c6dae5a054f4182cb99b7e4b3deae14c4adb6fb29132a129381cd3336f8b05

Observation 96f3c029-b999-4e11-a667-7a660fede738 · outbound

This paper cites Six standard deviations suffice.

Symmetric Perceptrons, Number Partitioning and Lattices Six standard deviations suffice

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.440627Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.359839Z digest=sha256:4526991c943a6c54f99ec0859eeb00246ba7fb28729a6899d24116beda57d07d

Observation d4a56276-8be7-4830-b3a8-577e759c2432 · outbound

This paper cites On the cryptographic hardness of learning single periodic neurons.

Symmetric Perceptrons, Number Partitioning and Lattices On the cryptographic hardness of learning single periodic neurons

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.433265Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.361812Z digest=sha256:87e1b0c3a3e0d2e0b205fbfc8f18c951c20712eec74b268449bc64212d7e35a8

Observation aca16068-dbe7-4f27-8c4d-6e5de845d962 · outbound

This paper cites Hardness of agnostically learning halfspaces from worst-case lattice problems.

Symmetric Perceptrons, Number Partitioning and Lattices Hardness of agnostically learning halfspaces from worst-case lattice problems

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.426076Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.363645Z digest=sha256:91b018c0fc9339c196a622f8f7cfc4523caffba75fac4339f59cf1ebdae2b63f

Observation 642d5c95-21a7-46e8-90ff-d29e162f9171 · outbound

This paper cites Balancing gaussian vectors in high dimension.

Symmetric Perceptrons, Number Partitioning and Lattices Balancing gaussian vectors in high dimension

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.419643Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.365602Z digest=sha256:7b5c285f86138e39688b2fa5135512e8d804a4bbdd10562a46f3fd79fc80bdb8

Observation e8708142-d36b-4228-ac89-82fa6df14bc1 · outbound

This paper cites an unresolved cited work.

Symmetric Perceptrons, Number Partitioning and Lattices Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:00:05.411868Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.368236Z digest=sha256:ec4aac8b7c2e979910ae56463d6d087aadfeaf8c86cfccb3a6843bafce4b4098

Observation c956ea69-f0bc-4ebd-8201-7c190c6c7b23 · outbound

This paper cites The differencing algorithm ldm for partitioning: A proof of a conjecture of karmarkar and karp.

Symmetric Perceptrons, Number Partitioning and Lattices The differencing algorithm ldm for partitioning: A proof of a conjecture of karmarkar and karp

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.404905Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.370651Z digest=sha256:57847e89fec326328aca94a3b5da12406571235f6485092746cf063baf99169c

Observation fc88ae5c-1bfe-4dcb-9a88-6452cc2d0a68 · outbound

This paper cites Wein, and Joan Bruna.

Symmetric Perceptrons, Number Partitioning and Lattices Wein, and Joan Bruna

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:00:05.395642Z

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.

source=arxiv_source observed=2026-08-10T13:00:05.372957Z digest=sha256:65ffa6d1a58ef557b130c826c575d8a9bac132d0adaab55b921721de48d52ddb

Pith citing papers

Observation 7c90cd0d-e43b-47bd-a79b-0183754b622f · inbound

Strong Low Degree Hardness for the Number Partitioning Problem cites this paper.

Strong Low Degree Hardness for the Number Partitioning Problem Symmetric Perceptrons, Number Partitioning and Lattices

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T14:01:06.727099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:01:06.727099Z digest=sha256:a9d173798687f8d1b3f7a195f7603b1a1195ea244129a0680667291b189e27ca

Observation 9b1e8f82-daa4-491b-a04a-86a075442119 · inbound

Computational Complexity of Statistics: New Insights from Low-Degree Polynomials cites this paper.

Computational Complexity of Statistics: New Insights from Low-Degree Polynomials Symmetric Perceptrons, Number Partitioning and Lattices

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-07T04:24:27.096421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:24:27.096421Z digest=sha256:3ab609cba93ef260fb61ff7e36cb30a825302df8f51de2fc4ecd27c63a39e856

Observation f4e3677b-66e2-4f5a-8bf6-14b9c59b8c13 · inbound

Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs cites this paper.

Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs Symmetric Perceptrons, Number Partitioning and Lattices

Reference 105

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:11:20.529940Z

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.

source=pdf_text observed=2026-05-08T06:21:23.923750Z digest=sha256:df2f9e52d8656fe70580d23ff7043c3c2c14fbc64043ff11c6850c2a63a67f61

Observation cff9d59e-a946-410d-b926-671a616b47c4 · inbound

TCS-BENCH: Benchmarking State-of-the-Art Generative AI Theoretical Computer Science Research Ability cites this paper.

TCS-BENCH: Benchmarking State-of-the-Art Generative AI Theoretical Computer Science Research Ability Symmetric Perceptrons, Number Partitioning and Lattices

Reference 150

Resolution
unresolved
no resolver link, observed 2026-08-14T04:19:00.815787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:19:00.815787Z digest=sha256:d3df6f801c6622162a26f4ffb53716a9166999f93a40005b73d6e97a224797ab