Paper Citation Record · LEDGER

A constructive approach to strengthen algebraic descriptions of function and operator classes

As of 20 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 2 inbound Pith citation observations for arXiv:2504.14377.

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

pith.paper-citation-record.v1
2504.14377 v8

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

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measured 61 of 61 standing notices

One-hop event checks from named stored sources.

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:34:49.661433Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T22:10:30.042516Z

Reference resolution

59 of 59 outbound references displayed

verified exact1
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External citation measurements

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Outbound references

Observation 576c7de2-cffe-48bc-8983-da934e936580 · outbound

This paper cites Convergence rate analysis of randomized and cyclic coordinate descent for convex optimization through semidefinite programming.

A constructive approach to strengthen algebraic descriptions of function and operator classes Convergence rate analysis of randomized and cyclic coordinate descent for convex optimization through semidefinite programming

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T12:00:44.905698Z

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Observation a478c5fa-de28-4b28-ad96-f09f12088078 · outbound

This paper cites Abbaszadehpeivasti, E.

A constructive approach to strengthen algebraic descriptions of function and operator classes Abbaszadehpeivasti, E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.531744Z

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Observation 6e22915e-aeb6-40ab-a7e0-7ffe9aa5aed4 · outbound

This paper cites Azagra and C.

A constructive approach to strengthen algebraic descriptions of function and operator classes Azagra and C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.520332Z

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Observation 08673143-e158-46c3-b31e-76cc4981a7fe · outbound

This paper cites Azagra and C.

A constructive approach to strengthen algebraic descriptions of function and operator classes Azagra and C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.507931Z

Source-reported events for the cited work

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Observation 9c3278dd-74ee-4ae1-bd4e-511c007968c6 · outbound

This paper cites Azagra and C.

A constructive approach to strengthen algebraic descriptions of function and operator classes Azagra and C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.496775Z

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Observation 973336ce-4694-4b67-8841-5ce3b1604234 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.486006Z

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Observation 5bfad41b-2084-4d24-ae1d-5c638ee3d3b7 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.474914Z

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Observation 6bacc830-0dd0-4f1a-829d-85259bc78594 · outbound

This paper cites Beck and L.

A constructive approach to strengthen algebraic descriptions of function and operator classes Beck and L

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.462971Z

Source-reported events for the cited work

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Observation 488df2c6-62d2-423f-96b4-a91cb82238db · outbound

This paper cites Bolte, A.

A constructive approach to strengthen algebraic descriptions of function and operator classes Bolte, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.451252Z

Source-reported events for the cited work

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Observation ecb325c9-b4ea-40b1-8e1e-53c5c27dd26b · outbound

This paper cites Bolte, A.

A constructive approach to strengthen algebraic descriptions of function and operator classes Bolte, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.439796Z

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Observation 8375a7b7-cbc8-4cf7-9d49-f0b78884b3c4 · outbound

This paper cites Bolte, T.

A constructive approach to strengthen algebraic descriptions of function and operator classes Bolte, T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.428248Z

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Observation 7edeeac2-d849-488b-a3ce-36be9c0b2d22 · outbound

This paper cites Bousselmi, J.

A constructive approach to strengthen algebraic descriptions of function and operator classes Bousselmi, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.415893Z

Source-reported events for the cited work

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Observation 6094ee14-802c-4a45-b779-4d3a792b6d2a · outbound

This paper cites Daniilidis, M.

A constructive approach to strengthen algebraic descriptions of function and operator classes Daniilidis, M

Reference 13

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Source-reported events for the cited work

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Observation d04d7a7f-f8d9-441b-b826-fe67657866e4 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 14

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Observation 5d3280c0-5a63-4acf-a0ed-08eb25edbb53 · outbound

This paper cites Drori, On the Properties of Convex Functions over Open Sets,Journal of Convex Analysis27 (2020), 1303–1314.

A constructive approach to strengthen algebraic descriptions of function and operator classes Drori, On the Properties of Convex Functions over Open Sets,Journal of Convex Analysis27 (2020), 1303–1314

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.383452Z

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Observation 4edd9a46-b18b-4b35-abfd-4e4c37286b4c · outbound

This paper cites Drori and M.

A constructive approach to strengthen algebraic descriptions of function and operator classes Drori and M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.372268Z

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Observation f386ff41-82b6-4501-adb2-c8c2d41a072a · outbound

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A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.359450Z

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Observation 2c9053dd-5801-4914-9a6a-cf022d4d5aa7 · outbound

This paper cites Fefferman, A.

A constructive approach to strengthen algebraic descriptions of function and operator classes Fefferman, A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.347132Z

Source-reported events for the cited work

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Observation 510eec3c-33ed-478a-9214-0eb1f2636750 · outbound

This paper cites Gorbunov, N.

A constructive approach to strengthen algebraic descriptions of function and operator classes Gorbunov, N

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.334733Z

Source-reported events for the cited work

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Observation e2b9f27f-1cf6-4711-b988-8cd73219b0ae · outbound

This paper cites Gorbunov, A.

A constructive approach to strengthen algebraic descriptions of function and operator classes Gorbunov, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.323566Z

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Observation 8c80f441-4b13-43e5-bde7-11458addfd9f · outbound

This paper cites Goujaud, A.

A constructive approach to strengthen algebraic descriptions of function and operator classes Goujaud, A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.312650Z

Source-reported events for the cited work

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Observation 1f285008-ec95-4529-8e35-026c57d8dc44 · outbound

This paper cites Goujaud, C.

A constructive approach to strengthen algebraic descriptions of function and operator classes Goujaud, C

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.301724Z

Source-reported events for the cited work

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Observation 399b9902-bc3a-4795-b891-43504c44b7aa · outbound

This paper cites Optimal first-order methods for convex functions with a quadratic upper bound.

A constructive approach to strengthen algebraic descriptions of function and operator classes Optimal first-order methods for convex functions with a quadratic upper bound

Reference 23

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Source-reported events for the cited work

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Observation 96a849b1-47b6-4d8e-a164-d09415373215 · outbound

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A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.290488Z

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Observation 568c33e5-18e0-490f-aa22-1471ef8a0121 · outbound

This paper cites Guille-Escuret, A.

A constructive approach to strengthen algebraic descriptions of function and operator classes Guille-Escuret, A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.279174Z

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Observation 54d6594c-a35d-4860-bda0-85f1c77ce0c3 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.267856Z

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Observation 0e6a953a-76dc-4fb9-88c8-89dfdb76f4e5 · outbound

This paper cites Hilbert, Über die darstellung definiter formen als summe von formenquadraten,Mathematische Annalen32 (1888), 342–350.

A constructive approach to strengthen algebraic descriptions of function and operator classes Hilbert, Über die darstellung definiter formen als summe von formenquadraten,Mathematische Annalen32 (1888), 342–350

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.255075Z

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Observation f5930030-bed4-4f68-b194-133a8d237841 · outbound

This paper cites Primal-dual subgradient methods for minimizing uniformly convex functions.

A constructive approach to strengthen algebraic descriptions of function and operator classes Primal-dual subgradient methods for minimizing uniformly convex functions

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T12:00:44.600283Z

Source-reported events for the cited work

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Observation f5e7b73f-9340-40ff-89d6-18bb76774201 · outbound

This paper cites On the Worst-Case Analysis of Cyclic Block Coordinate Descent type Algorithms.

A constructive approach to strengthen algebraic descriptions of function and operator classes On the Worst-Case Analysis of Cyclic Block Coordinate Descent type Algorithms

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:00:44.865519Z

Source-reported events for the cited work

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Observation 914faf02-f4e2-4afc-8802-64bc81309d96 · outbound

This paper cites Kamri, J.

A constructive approach to strengthen algebraic descriptions of function and operator classes Kamri, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.242757Z

Source-reported events for the cited work

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Observation dc8c86b2-e68b-4d62-97e9-185fc7dc821d · outbound

This paper cites Karimi, J.

A constructive approach to strengthen algebraic descriptions of function and operator classes Karimi, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.230744Z

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 021b81fd-0c93-4d67-9217-2f111a51895f · outbound

This paper cites Kirszbraun, Über die zusammenziehende und Lipschitzsche Transformationen,Fundamenta Mathematicae22 (1934), 77–108.

A constructive approach to strengthen algebraic descriptions of function and operator classes Kirszbraun, Über die zusammenziehende und Lipschitzsche Transformationen,Fundamenta Mathematicae22 (1934), 77–108

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.218865Z

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 1e5ca339-48c9-42be-84ea-4f58f463f839 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.207610Z

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

Observation 76641e28-1fd1-4f89-b34f-3208a73d7e02 · outbound

This paper cites Lambert, J.

A constructive approach to strengthen algebraic descriptions of function and operator classes Lambert, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.195471Z

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Observation 16d53661-da60-400c-b27e-3f9a85aa371f · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.184443Z

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 afc90bc5-b44b-4233-a26c-8a0464130931 · outbound

This paper cites Lojasiewicz, Une propriété topologique des sous-ensembles analytiques réels,Les équations aux dérivées partielles117 (1963), 87–89.

A constructive approach to strengthen algebraic descriptions of function and operator classes Lojasiewicz, Une propriété topologique des sous-ensembles analytiques réels,Les équations aux dérivées partielles117 (1963), 87–89

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.173864Z

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 987401dc-34c5-465d-b54f-b356386a6084 · outbound

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

A constructive approach to strengthen algebraic descriptions of function and operator classes Performance Estimation for Smooth and Strongly Convex Sets

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T12:00:44.637662Z

Source-reported events for the cited work

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Observation 58331668-c113-4dd0-b270-347e92342d3e · outbound

This paper cites Marshall,Positive Polynomials and Sums of Squares, volume 146 of Mathematical Surveys and Monographs, American Mathematical Society, 2008.

A constructive approach to strengthen algebraic descriptions of function and operator classes Marshall,Positive Polynomials and Sums of Squares, volume 146 of Mathematical Surveys and Monographs, American Mathematical Society, 2008

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.162479Z

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 89ae2a60-9bef-428a-9e8b-56db42ed7bde · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.150811Z

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

Observation 5075baae-8ccb-40c9-a168-91fc612d0c4f · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.140058Z

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 bfe2c9f8-b9bf-4a38-9b24-1761708e13ef · outbound

This paper cites Nesterov, Efficiency of coordinate descent methods on huge-scale optimization problems,SIAM Journal on Optimization22 (2012), 341–362.

A constructive approach to strengthen algebraic descriptions of function and operator classes Nesterov, Efficiency of coordinate descent methods on huge-scale optimization problems,SIAM Journal on Optimization22 (2012), 341–362

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.128451Z

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 a10ca522-58d8-4d5d-ae72-af9a637d87a5 · outbound

This paper cites Nesterov, Universal gradient methods for convex optimization problems,Mathematical Pro- gramming152 (2015), 381–404.

A constructive approach to strengthen algebraic descriptions of function and operator classes Nesterov, Universal gradient methods for convex optimization problems,Mathematical Pro- gramming152 (2015), 381–404

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.116613Z

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 10164b48-db16-427b-afa0-c164c4e57d09 · outbound

This paper cites Nesterov,Lectures on convex optimization, volume 137, Springer, 2018.

A constructive approach to strengthen algebraic descriptions of function and operator classes Nesterov,Lectures on convex optimization, volume 137, Springer, 2018

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.104720Z

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 a8c5582c-7573-4da0-9962-0527cbdd3dc1 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.093493Z

Source-reported events for the cited work

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Observation fa1f68c0-4b45-48ea-962e-da259863bfc2 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.082290Z

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Observation 2a122f3b-a62d-43e8-b0b9-f5d5135d156e · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.071385Z

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Observation 5fdcb449-f1a2-4a38-bddd-e2f21017750a · outbound

This paper cites Rubbens, N.

A constructive approach to strengthen algebraic descriptions of function and operator classes Rubbens, N

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.059787Z

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 cc73d8fa-51f1-4106-a37d-0dcd7af58d00 · outbound

This paper cites Rubbens and J.

A constructive approach to strengthen algebraic descriptions of function and operator classes Rubbens and J

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-16T12:00:44.681331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84f0c719-a331-487f-b31e-f7b67c041142 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.047645Z

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

Observation 9dd1925e-33f3-4e71-a2f6-63072533c928 · outbound

This paper cites Szeg,Orthogonal polynomials, volume 23, American Mathematical Soc., 1939.

A constructive approach to strengthen algebraic descriptions of function and operator classes Szeg,Orthogonal polynomials, volume 23, American Mathematical Soc., 1939

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:45.032688Z

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 c57e41fb-ce1e-45bf-a20f-d34671136a00 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.019817Z

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Observation 460470ee-3db0-42f4-bcc0-f62c9d23a49a · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:45.007671Z

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Observation 6abe78d5-e031-49fc-bdbc-0667171b52a5 · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:44.995768Z

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Observation 5ad91515-fbb7-4ad8-9844-494c7b7bfebf · outbound

This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:00:44.984962Z

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Observation 9a42e7de-d7be-4bef-965c-614150351885 · outbound

This paper cites Whitney, Differentiable functions defined in closed sets.

A constructive approach to strengthen algebraic descriptions of function and operator classes Whitney, Differentiable functions defined in closed sets

Reference 55

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This paper cites Yan, Extension of Convex Function,Journal of Convex Analysis21 (2014), 965–987.

A constructive approach to strengthen algebraic descriptions of function and operator classes Yan, Extension of Convex Function,Journal of Convex Analysis21 (2014), 965–987

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:44.958889Z

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Observation ecd4f193-3070-4da5-9799-f98139acde07 · outbound

This paper cites Z ˇalinescu, On uniformly convex functions,Journal of Mathematical Analysis and Applications 95 (1983), 344–374.

A constructive approach to strengthen algebraic descriptions of function and operator classes Z ˇalinescu, On uniformly convex functions,Journal of Mathematical Analysis and Applications 95 (1983), 344–374

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:00:44.944884Z

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This paper cites an unresolved cited work.

A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 58

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Observation 11271de9-b7e4-42cb-902c-13b7157d6c93 · outbound

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A constructive approach to strengthen algebraic descriptions of function and operator classes Unresolved cited work

Reference 59

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Pith citing papers

Observation f5c391a0-f765-4f15-a7e3-f0a388732f9d · inbound

Performance Estimation of second-order optimization methods on classes of univariate functions cites this paper.

Performance Estimation of second-order optimization methods on classes of univariate functions A constructive approach to strengthen algebraic descriptions of function and operator classes

Reference 43

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Observation 51a98ea2-21bf-4306-8723-93465334b0c1 · inbound

A Domain-Specific Harness for End-to-End Automation of Optimization Research cites this paper.

A Domain-Specific Harness for End-to-End Automation of Optimization Research A constructive approach to strengthen algebraic descriptions of function and operator classes

Reference 57

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