Paper Citation Record · LEDGER

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form

As of 20 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2501.18503.

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

pith.paper-citation-record.v1
2501.18503 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T23:22:54.852148Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact0
verified fuzzy14
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 691f00dc-d87c-4e70-9384-3574a5bff418 · outbound

This paper cites Bosse, (Almost) matrix-free solver for piecewise linear functions in abs-normal form , Numerical Linear Algebra with Applications, 26 (2019), p.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Bosse, (Almost) matrix-free solver for piecewise linear functions in abs-normal form , Numerical Linear Algebra with Applications, 26 (2019), p

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.736837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 700aaed1-b13d-4981-8f83-f2cc80e90340 · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.722323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 099e97f5-48a8-4019-b94e-1e63ae2eaba1 · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.706327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a78428d7-7acf-4c78-a29c-d451c55876e7 · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.691682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aaa6c2bf-3eda-4f80-8c6d-8bcd1b9e39f8 · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.677203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 830697dc-3936-4c96-9ad8-adf31c9d0f2d · outbound

This paper cites Fiege, A.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Fiege, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.661556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cf50084c-b9e4-4c84-8aef-0481b3cbe0c7 · outbound

This paper cites Fukushima and J.-S.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Fukushima and J.-S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.646466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 187f7af4-9ce9-4714-82eb-19fa139a865d · outbound

This paper cites Griewank, On stable piecewise linearization and generalized algorithmic differentiation , in The 6th International Conference on Automatic Differentiation, Colorado, 2012.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Griewank, On stable piecewise linearization and generalized algorithmic differentiation , in The 6th International Conference on Automatic Differentiation, Colorado, 2012

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.631221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d881099b-908f-4ffc-8646-5e9455404f8a · outbound

This paper cites Griewank, J.-U.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Griewank, J.-U

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.615731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6b300aba-bea2-4ca5-87d3-e9e2c1309293 · outbound

This paper cites Griewank, A.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Griewank, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.600523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 065c8d8f-6570-447a-a935-d9b67d50bec1 · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.525533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 81f14f08-fd4a-470a-8780-2a357faf59ba · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.406814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f9d6c861-1a68-4ca5-a70f-97b75b362e9c · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.378837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ea57d06a-810a-4738-8df6-461c869fe7f9 · outbound

This paper cites Kazda and X.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Kazda and X

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.362563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6c0147c3-64e8-4e1e-9c52-9c46e1226922 · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.348006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 28bb0f3d-c5f3-495e-9f8f-eb3bde72123d · outbound

This paper cites Kubota, Enumeration of subdifferentials of piecewise linear functions with abs-normal form , Optimization Methods and Software, 33 (2018), pp.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Kubota, Enumeration of subdifferentials of piecewise linear functions with abs-normal form , Optimization Methods and Software, 33 (2018), pp

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.333476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e1a7189f-8979-4bc1-a169-1b2bac5a9cb8 · outbound

This paper cites Kwon and O.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Kwon and O

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.318610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3228fe84-e64d-4af4-8f24-18f8b9cfc331 · outbound

This paper cites Lubin, O.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Lubin, O

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.304041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b542440d-4416-4eea-8eb6-c081a0f9db30 · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.289030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0457c545-8182-45ea-bccd-e63c2475b6f7 · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.274450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1a4a35f8-eaf7-4545-8756-d812f24a6e7d · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:55.260219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bce60731-b962-4971-b5b8-11aa58f2e094 · outbound

This paper cites Scholtes, Introduction to piecewise differentiable equations, SpringerBriefs in Optimization, Springer, New York, NY, 2012.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Scholtes, Introduction to piecewise differentiable equations, SpringerBriefs in Optimization, Springer, New York, NY, 2012

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.243995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e7f01648-88d7-406b-a842-06716a86fbe5 · outbound

This paper cites Siebert, J.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Siebert, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.208444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e588b2d4-8868-41ec-8934-9edd32968587 · outbound

This paper cites Streubel, A.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Streubel, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.114439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5c347c1c-002f-4a3e-8bc8-6172506c0abe · outbound

This paper cites W alther and A.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form W alther and A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T23:22:55.019812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 20b21cb4-030a-40cd-9ed1-88b1ca421de8 · outbound

This paper cites an unresolved cited work.

New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-09T23:22:54.933964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.