Paper Citation Record · LEDGER

The Optimal Smoothings of Sublinear Functions and Convex Cones

As of 9 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2508.06681.

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

pith.paper-citation-record.v1
2508.06681 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:58:13.017862Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:11:17.015862Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T16:08:37.888334Z

Reference resolution

35 of 35 outbound references displayed

verified exact4
verified fuzzy21
unresolved10
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External citation measurements

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Outbound references

Observation 86643399-57a2-4f05-8fe4-884ef9c639de · outbound

This paper cites Proximité et dualité dans un espace hilbertien.Bulletin de la Société Mathématique de France, 93:273–299, 1965.

The Optimal Smoothings of Sublinear Functions and Convex Cones Proximité et dualité dans un espace hilbertien.Bulletin de la Société Mathématique de France, 93:273–299, 1965

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.463579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 79a2880c-0bed-40ec-86b5-6c32d6507a1f · outbound

This paper cites A fast iterative shrinkage-thresholding algorithm for linear inverse problems.

The Optimal Smoothings of Sublinear Functions and Convex Cones A fast iterative shrinkage-thresholding algorithm for linear inverse problems

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.453904Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1f1bba7f-afb6-4638-b401-6b666ffcf394 · outbound

This paper cites Stochastic model-based minimization of weakly convex functions.

The Optimal Smoothings of Sublinear Functions and Convex Cones Stochastic model-based minimization of weakly convex functions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T22:58:12.916019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b7135bb-c5c5-48b8-ac23-b6cae413b34b · outbound

This paper cites Approximation and decomposition properties of some classes of locally dc functions.Mathematical Programming, 41(1):195–227, 1988.

The Optimal Smoothings of Sublinear Functions and Convex Cones Approximation and decomposition properties of some classes of locally dc functions.Mathematical Programming, 41(1):195–227, 1988

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.436794Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cb66c0df-0198-42e8-90af-168f9cccde77 · outbound

This paper cites A remark on regularization in hilbert spaces.Israel Journal of Mathematics, 55(3):257–266, 1986.

The Optimal Smoothings of Sublinear Functions and Convex Cones A remark on regularization in hilbert spaces.Israel Journal of Mathematics, 55(3):257–266, 1986

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.426241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 08713a1d-9601-46df-a302-3c07ca6e9b09 · outbound

This paper cites Approximation and regularization of arbitrary functions in hilbert spaces by the lasry-lions method.

The Optimal Smoothings of Sublinear Functions and Convex Cones Approximation and regularization of arbitrary functions in hilbert spaces by the lasry-lions method

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.416476Z

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Observation cda99ca8-6f4b-4199-bd25-ffacc0abcfc5 · outbound

This paper cites Ben-Tal and M.

The Optimal Smoothings of Sublinear Functions and Convex Cones Ben-Tal and M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.407143Z

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Observation c0e53b55-dfcb-47ad-b28e-43f69c68391e · outbound

This paper cites Smoothing and first order methods: A unified framework.SIAM Journal on Optimization, 22:557–580, 2012.

The Optimal Smoothings of Sublinear Functions and Convex Cones Smoothing and first order methods: A unified framework.SIAM Journal on Optimization, 22:557–580, 2012

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.397706Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0e9e6f17-2d14-4537-9afd-66889125f3b9 · outbound

This paper cites Nearly maximum flows in nearly linear time.

The Optimal Smoothings of Sublinear Functions and Convex Cones Nearly maximum flows in nearly linear time

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.388239Z

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Observation 99ccf7d7-82cb-4db1-bbe3-c01277883e8d · outbound

This paper cites Random gradient-free minimization of convex functions.Founda- tions of Computational Mathematics, 17(2):527–566, 2017.

The Optimal Smoothings of Sublinear Functions and Convex Cones Random gradient-free minimization of convex functions.Founda- tions of Computational Mathematics, 17(2):527–566, 2017

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T22:58:12.938847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7e470b4-5fde-484a-adf2-9ed1155a04a3 · outbound

This paper cites Subdifferentially polynomially bounded functions and Gaussian smoothing-based zeroth-order optimization.

The Optimal Smoothings of Sublinear Functions and Convex Cones Subdifferentially polynomially bounded functions and Gaussian smoothing-based zeroth-order optimization

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-05T22:58:13.220121Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0c765dc0-34fa-45d2-99b4-88e21710d916 · outbound

This paper cites Extremum problems with inequalities as subsidiary conditions.

The Optimal Smoothings of Sublinear Functions and Convex Cones Extremum problems with inequalities as subsidiary conditions

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.372338Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 90504259-03e7-46bc-9726-2ba6dc27ea3a · outbound

This paper cites Rounding of polytopes in the real number model of computation.Mathematics of Operations Research, 21(2):307–320, 1996.

The Optimal Smoothings of Sublinear Functions and Convex Cones Rounding of polytopes in the real number model of computation.Mathematics of Operations Research, 21(2):307–320, 1996

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.363226Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bb1fff9f-41e7-475b-a267-e11683a7b280 · outbound

This paper cites Rounding of convex sets and efficient gradient methods for linear programming problems.

The Optimal Smoothings of Sublinear Functions and Convex Cones Rounding of convex sets and efficient gradient methods for linear programming problems

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.353959Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6e1f52a2-fd66-4738-bc68-33db66590447 · outbound

This paper cites Performance Estimation for Smooth and Strongly Convex Sets.

The Optimal Smoothings of Sublinear Functions and Convex Cones Performance Estimation for Smooth and Strongly Convex Sets

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-05T22:58:13.118270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3564242e-f2c1-443b-ad9b-51a93bc0845b · outbound

This paper cites Analytic and polyhedral approximation of convex bodies in separable polyhedral banach spaces.Israel Journal of Mathematics, 105(1):139–154, 1998.

The Optimal Smoothings of Sublinear Functions and Convex Cones Analytic and polyhedral approximation of convex bodies in separable polyhedral banach spaces.Israel Journal of Mathematics, 105(1):139–154, 1998

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.344080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 77c8de2e-1e04-48c6-ac8a-49ba1cb6b0e2 · outbound

This paper cites A smoothing moving balls approximation method for a class of conic-constrained difference-of-convex optimization problems.

The Optimal Smoothings of Sublinear Functions and Convex Cones A smoothing moving balls approximation method for a class of conic-constrained difference-of-convex optimization problems

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T22:58:12.964374Z

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Unavailable: canonical work link unavailable.

Observation 2e4b636b-2b1c-4583-a3d7-5e33d6077aae · outbound

This paper cites an unresolved cited work.

The Optimal Smoothings of Sublinear Functions and Convex Cones Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:58:13.334745Z

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Observation a82ea342-ab93-49e1-9662-d24ec496a505 · outbound

This paper cites Gauges and accelerated optimization over smooth and/or strongly convex sets.arXiv preprint arXiv:2303.05037v3, 2024.

The Optimal Smoothings of Sublinear Functions and Convex Cones Gauges and accelerated optimization over smooth and/or strongly convex sets.arXiv preprint arXiv:2303.05037v3, 2024

Reference 20

Resolution: verified exact; raw_fallback, observed 2026-08-05T22:58:13.204810Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ad0936b3-5879-4337-aec8-8b44cf26f926 · outbound

This paper cites Scalable Projection-Free Optimization Methods via MultiRadial Duality Theory.

The Optimal Smoothings of Sublinear Functions and Convex Cones Scalable Projection-Free Optimization Methods via MultiRadial Duality Theory

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-05T22:58:13.090401Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 61ec37e0-0b59-4d9b-9c5b-bbe2ad07c303 · outbound

This paper cites The Role of Level-Set Geometry on the Performance of PDHG for Conic Linear Optimization.

The Optimal Smoothings of Sublinear Functions and Convex Cones The Role of Level-Set Geometry on the Performance of PDHG for Conic Linear Optimization

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T22:58:12.976991Z

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Unavailable: canonical work link unavailable.

Observation 7c183a74-a375-41bf-8f8b-47df32ecd5cf · outbound

This paper cites Freund and Jorge R.

The Optimal Smoothings of Sublinear Functions and Convex Cones Freund and Jorge R

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.325433Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7541a893-1738-4c12-a445-6a892def4d32 · outbound

This paper cites Squareplus: A Softplus-Like Algebraic Rectifier.

The Optimal Smoothings of Sublinear Functions and Convex Cones Squareplus: A Softplus-Like Algebraic Rectifier

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T22:58:12.982887Z

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Observation ff828fd2-16da-4717-aa95-04c2e9119b72 · outbound

This paper cites Searching for Activation Functions.

The Optimal Smoothings of Sublinear Functions and Convex Cones Searching for Activation Functions

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T22:58:12.986068Z

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Unavailable: canonical work link unavailable.

Observation 53890cf8-ddf6-4b16-9265-ae28357c3dc9 · outbound

This paper cites Deep sparse rectifier neural networks.

The Optimal Smoothings of Sublinear Functions and Convex Cones Deep sparse rectifier neural networks

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.316360Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6eea695c-6ca0-464e-a98b-adfcfe909239 · outbound

This paper cites Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs).

The Optimal Smoothings of Sublinear Functions and Convex Cones Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T22:58:12.992228Z

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Observation 6516f1ab-ef32-498f-978c-e3b04c27d3ae · outbound

This paper cites Efficient projections onto the l 1-ball for learning in high dimensions.

The Optimal Smoothings of Sublinear Functions and Convex Cones Efficient projections onto the l 1-ball for learning in high dimensions

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.307354Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0a922b3c-c927-46b5-809f-a3ff3e364305 · outbound

This paper cites Fast projection onto the simplex and the l1 ball.Math.

The Optimal Smoothings of Sublinear Functions and Convex Cones Fast projection onto the simplex and the l1 ball.Math

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.297992Z

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Observation 0b20cb44-7374-4fc6-b282-8f32472aadce · outbound

This paper cites A tutorial on geometric programming.

The Optimal Smoothings of Sublinear Functions and Convex Cones A tutorial on geometric programming

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.288948Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 71cb96bd-bc57-4764-8b4b-67a31e4a753d · outbound

This paper cites Tyrrell Rockafellar.Convex analysis.

The Optimal Smoothings of Sublinear Functions and Convex Cones Tyrrell Rockafellar.Convex analysis

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.279292Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 89ffb8e3-f372-4f7f-9261-8f79f06f72a1 · outbound

This paper cites an unresolved cited work.

The Optimal Smoothings of Sublinear Functions and Convex Cones Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:58:13.269477Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d120a236-ebd0-476d-817f-761c3ca821e8 · outbound

This paper cites Gradient methods for minimizing composite functions.Mathematical Programming, 140(1):125–161, 2013.

The Optimal Smoothings of Sublinear Functions and Convex Cones Gradient methods for minimizing composite functions.Mathematical Programming, 140(1):125–161, 2013

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.259643Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation aefb49b5-7b7e-4be1-9eb3-38bc30c29770 · outbound

This paper cites an unresolved cited work.

The Optimal Smoothings of Sublinear Functions and Convex Cones Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:58:13.249552Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7c0161fe-007a-4a47-9752-11dcc2486fda · outbound

This paper cites On a class of nonsmooth composite functions.Mathematics of Operations Research, 28(4):677–692, 2003.

The Optimal Smoothings of Sublinear Functions and Convex Cones On a class of nonsmooth composite functions.Mathematics of Operations Research, 28(4):677–692, 2003

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.239833Z

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Observation 213aee3b-19f3-4aa3-bd57-159a35bcb225 · outbound

This paper cites A method of solving a convex programming problem with convergence rateo(1/k2).

The Optimal Smoothings of Sublinear Functions and Convex Cones A method of solving a convex programming problem with convergence rateo(1/k2)

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:58:13.230341Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation 68d4c3fd-4f55-4aaa-abfc-4596fb63919b · inbound

An Elementary Proof of the Near Optimality of LogSumExp Smoothing cites this paper.

An Elementary Proof of the Near Optimality of LogSumExp Smoothing The Optimal Smoothings of Sublinear Functions and Convex Cones

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T17:11:17.015862Z

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Unavailable: canonical work link unavailable.

Observation 49306f95-eb6c-4bbf-a170-0f81607c0c8f · inbound

A smoothing extended sequential quadratic method for difference-of-convex optimization over a convex composite inequality constraint cites this paper.

A smoothing extended sequential quadratic method for difference-of-convex optimization over a convex composite inequality constraint The Optimal Smoothings of Sublinear Functions and Convex Cones

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.889843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.