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

source=pdf_text observed=2026-08-16T06:05:44.336069Z digest=sha256:250fb2ed1501444050be1b1ab50f0e4ded5ba9766985d604727716bb0852c92c

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

source=pdf_text observed=2026-08-16T06:05:44.343377Z digest=sha256:feb622c2355360df9312deaafb28b2516156fb3c672c34dde57ed41a71fe954b

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

source=pdf_text observed=2026-08-16T06:05:44.355271Z digest=sha256:ea9a247b916aa5114d8ecd70bf864015f7de648c137781151007e7a298019c7d

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

source=pdf_text observed=2026-08-16T06:05:44.366766Z digest=sha256:dc333224785c134904bc03b11d7fd9c4bfec80b09c0952b1d0df0c22c5c38a8e

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

source=pdf_text observed=2026-08-16T06:05:44.372051Z digest=sha256:145c8ab1fc99bc04187c7ca5c61436b20297e407d639e1f7e5f5757755adb6e4

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

source=pdf_text observed=2026-08-16T06:05:44.376895Z digest=sha256:ad845fb2f92fb7ab32bbdc53e62641cecb61704b42e3940f9e78bfc89552b85a

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

source=pdf_text observed=2026-08-16T06:05:44.382187Z digest=sha256:9870b07d67615db0309d61bd2120288780f5cb8062fd4cddc1a62dc1cdfc21ee

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

source=pdf_text observed=2026-08-16T06:05:44.387114Z digest=sha256:4cfbf0d5e7265d53c036ca6844dcf41197d1fafa14b3d4a863042498e5599d6b

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

source=pdf_text observed=2026-08-16T06:05:44.391529Z digest=sha256:92b441b7a0c550c565aa79fabe3e990612c65a146adefdd76f61663db5da4d1d

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

source=pdf_text observed=2026-08-16T06:05:44.396210Z digest=sha256:3b806dd910028a8c47eeab7a83211614e69174b0d3ef1a73aa75a59b05dc68bb

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

source=pdf_text observed=2026-08-16T06:05:44.401140Z digest=sha256:918f021e93346c308f5f597c9d105e2fcc31a01d750fa5cde773216b90041c92

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

source=pdf_text observed=2026-08-16T06:05:44.406221Z digest=sha256:247a0c35f2e6f7a1d18de36e3df6cec169c22d66382836d07b03e73a1d2d2708

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

source=pdf_text observed=2026-08-16T06:05:44.410563Z digest=sha256:97e1e4286b58c25afae851362c1172252c85406d6c598fe94a810acce635e804

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

source=pdf_text observed=2026-08-16T06:05:44.415290Z digest=sha256:2b6afd6c504ae1a83bffbc89c274b8837c6bffef7f1443b5a71d54a8004bd5c2

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

source=pdf_text observed=2026-08-16T06:05:44.423764Z digest=sha256:e0e6bafbdb824b32d7da0b90e8b04ba14038f7181310287ad034219a1581b6a2

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

source=pdf_text observed=2026-08-16T06:05:44.427835Z digest=sha256:3adcb986ab2680506c714d7c3e2bc5616157c7dd11846a024914485717bbd6cc

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

source=pdf_text observed=2026-08-16T06:05:44.432724Z digest=sha256:fda769f037d4289afd38aff6b258c1446221f4b4c208d80ff01746cbd4fb137d

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

source=pdf_text observed=2026-08-16T06:05:44.437737Z digest=sha256:a3cac6dd77c3b14586749e6b9e0fbbea347235373956a6f94b3df40efbfe1206

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

source=pdf_text observed=2026-08-16T06:05:44.442679Z digest=sha256:e29a8852c0f624d049438f3e3098540862055571c4716267ee82d1514a87b595

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

source=pdf_text observed=2026-08-16T06:05:44.447205Z digest=sha256:0026849afe7b2234cb5854caed133ae13bd35013f837e1efdca2dbcbc6d7a2e2

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

source=pdf_text observed=2026-08-16T06:05:44.452624Z digest=sha256:7776d64037849b2d812bf1526e57991cd511cfd97f15a1b299e3028393eead9d

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

source=pdf_text observed=2026-08-16T06:05:44.463871Z digest=sha256:1cb50755bc66aa44b3df7d523dafe0ba953e4046a6058973376e0cc07868cfdc

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

source=pdf_text observed=2026-08-16T06:05:44.468905Z digest=sha256:dd957149c276ba744c5c73d353278bdb3ff57c0d7ff054c8d7cf9dab9c5eb346

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

source=pdf_text observed=2026-08-16T06:05:44.473964Z digest=sha256:009f198d31ed3cf7b5976576ee75c12c2d965ab0936ea6420e4bb8238a0779a4

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

source=pdf_text observed=2026-08-16T06:05:44.479447Z digest=sha256:ad8ec6d0a929c563beb030ea3c1e20db4fa850b6dcd23565a905fd4a0c121cdf

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

source=pdf_text observed=2026-08-16T06:05:44.485532Z digest=sha256:e230caa6320f43f8cfc7ee8e5dd7bae43884d6a0ecaa38e223756230d752eb83

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

source=pdf_text observed=2026-08-16T06:05:44.491474Z digest=sha256:44d609a4325fdac355c8bb186ab92a5309a1862300e25561d30d877d3e04ddbd

Pith citing papers

No inbound Pith citation observations are available.