Pith. sign in

Paper Citation Record · LEDGER

Symmetric Perceptrons, Number Partitioning and Lattices

As of 19 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 2026-08-18T06:34:40.430872+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
raw_fallback, observed 2026-08-10T13:00:05.776018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.234799Z digest=sha256:06b602b8b3427088827d988e4104e9489d2dc3ab3a30f1394d2bce1964294378

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.238951Z digest=sha256:810132ed7d0bd1eee9292b763bbdb85c94436f29399256a3ff69e3a474c39867

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.242262Z digest=sha256:213dcf98fcaea9153ed87ab41a83c2aa1223ce2b0601a02c6db3685c99e3f3a8

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.244988Z digest=sha256:80d75e404ccddcf54f5a6e9ecc6e9eb9927fc26669cc280d4aabdd404e014ace

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.248068Z digest=sha256:a9f0d81348c8e48caed2c3d45eb264f3ae618ab639aa559707f08647362833c6

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.250849Z digest=sha256:e85c95d21f50ae1e821b149ff0058a2dfac55aa6efd8059195c91f8722233ed0

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.253907Z digest=sha256:d2fc63eae7f55fc181cc1c8321a1d593efc872eb738a8025eb8e28741d2211f6

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.256508Z digest=sha256:b38b6d9cddcaa95565917800db1c783627814da653bd74184906e71c292f54c8

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.259444Z digest=sha256:a4c545ab5d7ee414a564c03f82fcdb1cf0f89693dd80ddf8206026f1071462aa

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.262409Z digest=sha256:0d75b56b4b7a4edc1c5c636491193eec0940291d6cd7483d938bc514f4ccbf46

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.264629Z digest=sha256:029741fdb9cda731eae5169908b24bc9bc10bc36e3a460c8d5052000d7fd0424

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.267490Z digest=sha256:8493819576c7ac0f9ef18cfc8efcea69b40123088f387d160ae465e32bb15403

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.270799Z digest=sha256:04ab1ccfaf18b14b2af27f97b8b09849122bf050d4eaa2903b78cd38d28f95f6

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.273536Z digest=sha256:8aaddab62b943b7f35cb8f0ba5f9cfd4a9be7ea85b4ee4b3eb3a950a45a0c4df

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.275844Z digest=sha256:c72a2d7ad3ba26a98b620808919f3f52aa65ecf947ce986a1ae4c42a5c2ef76c

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.282831Z digest=sha256:7084d89c4c4297aa3b047e99510af5448423f4b1b35335780657f58a730ddd63

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.292431Z digest=sha256:7e9b9c6fa8da245cf24b15d18e46883e1e9e5f9f006a2be630787b9a6c7a0969

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.294643Z digest=sha256:fdf49a603a0888c059e82c83800e3da9b35c69fee3b0a61dbf74b60f58b1d339

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.297124Z digest=sha256:2f6e307a74399e6b423ff550902c6a65fbdf24ab6decb0a310f81dda3d54be69

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.299778Z digest=sha256:b18cd445c55d951c4fa1057355a06058f3226d0f8ee2640a71f4b6ed45fab785

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.302098Z digest=sha256:398b2684187024613368185488ef2e51c04caeb1f04502f6d31b4544a887fc48

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.304098Z digest=sha256:13ab8202ccaae24f1fb9c309ffad1e24a4de8fa616fc12a945538ed5e1255208

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.306208Z digest=sha256:ef126e1440ab91ded575b1f17386d278479589c6a5778b2417268c17e407a9be

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.308882Z digest=sha256:a1d52d0efdfe30576e0b8fdfd410acc7ac32853690ab928ee728a326764289d1

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.310581Z digest=sha256:a88f65c66935dcbb741ce7cc52f3ded666aaaa700d7a34fc450c9aea93be522b

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.312296Z digest=sha256:0044c7c47697087d719a40646fc425c927589a41977f86977d17bdaf8eb5236a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.315320Z digest=sha256:a8ae0e0fb3a5e11ffc0596af039ce4c68d3a2065f0854f3de2a4f52a4fbd4a3e

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.317284Z digest=sha256:593c8fefac592ea496a8ad4618e57dcb6f3c5c7b172974ec119a144da59b8d15

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.319012Z digest=sha256:0f39b00aad6d8cd4284a753efc9318b4e34e7ca39011f769edb8d3e3b02406db

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.322534Z digest=sha256:39c041bb3f0fe1ee56c0ea54df1d509f190853324c9d986c1d7346311bbfc47a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.325061Z digest=sha256:d6f92d82cba08c8a7f17e6fd4609f374c67074ad0ececa9ab95fd484ca6930fe

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.330021Z digest=sha256:00db02e7cb10e0317d89032653ef033faadd65bc77b1677e09bea28c92a1d467

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.333027Z digest=sha256:a866c3514f518b5a672159eeee3ea4b2223d01f6fe849c52b3e58e145c5bda5b

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.335811Z digest=sha256:234165683138e878e8e074ca2cafb6fe96ec972cdc4118023141f4ebb6fea1f0

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.338283Z digest=sha256:fd1f35863ac0c8f2e08f680c01b43a8233ecc5773ce0b3dfbc6fe3a7a2e0811e

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.340724Z digest=sha256:71d5b0ac558a868448226eea632ce0ba8443ca39fb1e91ba08c0cdd9697f9015

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.343198Z digest=sha256:5a4f99818fbc79f7e46ab1d5f8ae22991a9d2da65f9e32619998b8ced941ca7c

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.345425Z digest=sha256:a7108b5f2427bdb716a74124c3369225d6c2f731fda7e0f0010f1d96919e2c58

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.347857Z digest=sha256:18a26a67d3d4ef46bc79fda45788efe5eb2373e56d3ad428bc8c1d315bf2451e

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.350191Z digest=sha256:2a81e0377ddf43a618d8ea0d15ee9b5e4a89798cc6754ed4517f3f29ce7f2d2b

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.352535Z digest=sha256:1e8cb07f1116b637ad66dbfb54855b5849ac6de329c79e979192d71040a38c89

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.357460Z digest=sha256:a8da4019d676ea853edbd3aa0b0b431c194d14117a2263ce79d8f8d6ee5dfdce

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.359839Z digest=sha256:640a68dd9927c51477f2badc935c480068f0c0ee2014595cd8edb756039d6e87

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.361812Z digest=sha256:7c4f8c0c122998bfe6d3a5aba698bf9bc8b727d962785e81e73542dfa370d7f4

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.363645Z digest=sha256:fbdb7a50930712d8b8d2df069e782d518b67d4764f19723d5674089b9e405100

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.365602Z digest=sha256:6bc2bd4687e340604ae94f939d0c4b542e53795524cde85191adb39676c611a5

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.368236Z digest=sha256:ae85b9206ffcd901a93244fbfa23b50c470532eb56350756ba8f1a7f189926e1

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.370651Z digest=sha256:1f19bb862c49afb31a8237b0b72c225b52cde34d23006f1d2731fb6726b8be82

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-10T13:00:05.372957Z digest=sha256:03084f2adf02c465a1d871b6ac4897fb889b46f0d4d7f2f32f88b7aa442490eb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-08T06:21:23.923750Z digest=sha256:07042bfe7669d9ea0860b75ad067e2ff62eeba4bc89459def24fee89f9e54aab

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:b89cac4df44f2c64956c3af105409bd02c819a90f4debe350cd446106ba7285b