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Paper Citation Record · LEDGER

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2504.19330.

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

pith.paper-citation-record.v1
2504.19330 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T06:05:44.491474Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

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

measured 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

31 of 31 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 56fe4871-b36e-4a03-8c73-d6dd57b384ba · outbound

This paper cites Agrawal and K.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Agrawal and K

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:45.127638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.336069Z digest=sha256:3a985ac2d6d75b3521920bd944dacb1668ca233fab0b232d480fe20c2c80e261

Observation 613b5bab-446f-406e-901d-0f84c8d39da4 · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:45.106469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 750b39eb-7262-41c4-bbe3-12c4c71b55bd · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:45.084844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 2d4c059b-936e-4eec-a25a-e3e91fe546a1 · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:45.063541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.355271Z digest=sha256:32b498df0cb7b657da2fa34333b3e51649e254c2eced98fa2f275363dfa632d3

Observation 2ee5bc44-b2bc-4b15-882a-0a341b25af76 · outbound

This paper cites A Semi-Algebraic Framework for Verification and Synthesis of Control Barrier Functions.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming A Semi-Algebraic Framework for Verification and Synthesis of Control Barrier Functions

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-16T06:05:44.360921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T06:05:44.360921Z digest=sha256:38c9b3d005e00cccecab58a86f7ebf36d13841555ed81e74b05f3675abbb73f0

Observation e492eab0-d9d3-4fab-980d-a088ab0c033f · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:45.045928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.366766Z digest=sha256:f1738595b13b785644dd11bdbfd4f6e44d1bc7a891a337746434a47e8d912e34

Observation f01a4e57-955e-4c59-8069-150335bd9947 · outbound

This paper cites Dai and F.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Dai and F

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:45.027640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.372051Z digest=sha256:581bca36765acf94ce2b7854c5be2b534592ad0873eb36d4a94592ae9e801a90

Observation e27275c8-2c2c-4441-a3d4-5c8f39680a37 · outbound

This paper cites Delimpaltadakis, J.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Delimpaltadakis, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:45.006141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.376895Z digest=sha256:6faebdc5e888eaa0e4fcdf99402d1f4b237beb059469bf05ddbe2864612a8388

Observation c18f687a-8bbf-420c-8edf-65246671c780 · outbound

This paper cites Freire and M.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Freire and M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.984976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.382187Z digest=sha256:b22d82aaaf280738875e5c886652627d33c3d08e36194d67250b10db991e1347

Observation 3973a995-f819-467a-8d0a-a31004af8ce9 · outbound

This paper cites Freire and M.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Freire and M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.967087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.387114Z digest=sha256:775cca3013e232beff8ae2f6088c3b1094bdebf2067e595d6de263315fa0bd72

Observation c0b8db53-5607-4f66-acbb-2c89838fd8c8 · outbound

This paper cites Gurriet, M.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Gurriet, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.947791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.391529Z digest=sha256:ee555e773940e2bc5b643d18504a7236cac48cbc44b5cb5c08b275575dda02c8

Observation 5e5f8912-0750-442c-8506-0e1e4cd0de1d · outbound

This paper cites Herceg, M.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Herceg, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.928142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.396210Z digest=sha256:d70ff96c6b785308327cd74d25b7e9c38479ca3b4479499ece8af84c072818f0

Observation 28a7193a-aa1b-42a8-891d-6c4530a3dbe0 · outbound

This paper cites Jagtap, S.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Jagtap, S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.911123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.401140Z digest=sha256:a49f1fcdf78259da0276e39e2903af9cea863f48ec05dc4b07654cbff2924a41

Observation adcc25a4-7f56-40f3-82c3-5af213240a0d · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.889624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.406221Z digest=sha256:c4813647e705304bda7832860c954e384da8cf3e0992263585a0b3cf9c8c1573

Observation 96d260ec-4991-4a2c-85e0-4f28f655a5ca · outbound

This paper cites Katriniok, E.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Katriniok, E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.873288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.410563Z digest=sha256:3f47463e4a884fc721aae119f5bea3708de3084ce3751c8ba72a833bcc9eaf0d

Observation 607ce098-1a1a-4e7b-a24d-c363ed9b828d · outbound

This paper cites Lindemann, A.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Lindemann, A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.855146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.415290Z digest=sha256:499aa1855c40bad233f8d551b2596374afbdaa93d232aef2cfd2c22ebdb754de

Observation 037a4752-10e8-493b-b017-6c549d9cb0bb · outbound

This paper cites SOSTOOLS Version 4.00 Sum of Squares Optimization Toolbox for MATLAB.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming SOSTOOLS Version 4.00 Sum of Squares Optimization Toolbox for MATLAB

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-16T06:05:44.419329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T06:05:44.419329Z digest=sha256:06c719bd385ecaf86b480299497294a6a6ca8fc16041bb7ab7d598f3a943a995

Observation df22b281-1c8e-4f9c-9acd-b027f63918b3 · outbound

This paper cites Papachristodoulou and S.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Papachristodoulou and S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.834429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.423764Z digest=sha256:eb5117e20693066581663f4c9dca50f86aa1eb5df1ccd348cbcbfd1caf2d6a36

Observation 5af80480-a0d7-448c-aa53-a2a088631666 · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.802263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.427835Z digest=sha256:c8e3a37949bc185ab48c3fc45f51221a09525eddac85cc4bea5fe214fb3d8a11

Observation 083faa60-a6c7-45b3-8c11-b0efe0298a59 · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.781072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.432724Z digest=sha256:83529c77f447582fc561e1092cb905ea17bce01f62626f9b160c1d2f493f77eb

Observation c0b9470d-3d3e-4017-93f1-e3a271f712ab · outbound

This paper cites Shakhesi, W.P.M.H.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Shakhesi, W.P.M.H

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.760841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.437737Z digest=sha256:f0d7c35cae2f75fd6e73b089217ba1fc8bc040c02e796e2f4370c7243daa73f9

Observation 4aaf6371-8a27-479a-b47e-42d22690f52a · outbound

This paper cites Shakhesi, W.P.M.H.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Shakhesi, W.P.M.H

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.744079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.442679Z digest=sha256:014d1e91153293ee491dcc9557585d9d4c15c73115981e7a45074cbcd70fa143

Observation 0982c98c-86d7-44df-bb49-218f04653403 · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.727928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.447205Z digest=sha256:ec1c7839171f6e12c25600cda3aad6eb1f3f78202170ea53848ac94702ee156d

Observation 83029bdb-a15a-4d67-8f09-5d2dbc9201dd · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.711991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.452624Z digest=sha256:868358b4d918a6679402c816ce737cd96dd15b1f1f6884794dca9b8bbe2bca17

Observation 663bc3aa-b96d-4097-b567-a99c7e712f94 · outbound

This paper cites Convex Co-Design of Control Barrier Function and Safe Feedback Controller Under Input Constraints.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Convex Co-Design of Control Barrier Function and Safe Feedback Controller Under Input Constraints

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-16T06:05:44.458403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T06:05:44.458403Z digest=sha256:5579338ba18e14852c60375da5b7875a5e8493959c5c5204429b1093d11efa08

Observation c0a71191-6f59-4256-b5b8-bd04c135d257 · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.695894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.463871Z digest=sha256:a12008c8a5171197a096cc448a6542f651cc3b6de0399738121fa635c5381ea5

Observation 842fac1f-f03f-4b52-9989-72b0049dacf6 · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.677056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.468905Z digest=sha256:aee8cbfec8bd8043bdc6ceac295d27fbbea2d85c6d65acfddf6b932bef349681

Observation fd63faaa-632c-47dd-89fb-979c77816a0b · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.658154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.473964Z digest=sha256:bb0bca6960180a0bd94706eb978e26ab99711b3542f431bceb05852e90894a23

Observation 78fa9f39-ca76-4bab-837f-26bbb5a8c8db · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.640575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.479447Z digest=sha256:a0cceb73746dc8a3e21fc950edcfff147e79b3173d6c5f698601095599bc3464

Observation f3466074-4217-445b-9ec0-086d2c60bc0d · outbound

This paper cites an unresolved cited work.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:05:44.623364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.485532Z digest=sha256:65105aec8e41390db14976ec3f3adea444a1a42ba83951fca194fa693d40dabe

Observation 8a257edf-38be-491f-b5f2-054819546fdf · outbound

This paper cites Zhang, Z.

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming Zhang, Z

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:05:44.605590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T06:05:44.491474Z digest=sha256:cb446f5b6c1cc8b1b99439bc27c527a308e3f050acc2abe10288cd53878bb312

Pith citing papers

No inbound Pith citation observations are available.