Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:14.927241Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2506.01606.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:14.927241Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
58 of 58 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 755ab215-1773-4d09-afa0-ff71c078ba9a · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b883468d-69bd-4898-8562-9dca3bf5a7d3 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1b2f85f2-9366-4284-bdd9-e8120213d6f9 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8c5af47e-30af-42af-b550-1a7da7b87f92 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b4837b12-6855-4ee9-8b9d-0a1b909189ce · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems On persistence and cascade decompositions of chemical reaction networks
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cf094903-e656-4f81-8d2a-d25281ad52de · outbound
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8c599109-e635-4ccc-8296-2ecf04de8986 · outbound
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 62117dec-d755-4e7e-9c21-b4e84dfb2af6 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Angeli and E
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 97b9bee8-8987-4de4-8a48-15a08bb17d6e · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems August and M
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2b1c375d-7fc7-4796-a61a-2742f84652b2 · outbound
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7196c8a0-9fd9-4316-912f-b4be29b48d8d · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Stability in Reaction Network Models via an Extension of the Next Generation Matrix Method
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0744b729-866a-47c0-8210-b5fe1d7eb865 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Berman and R
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cd5e2c62-7a8c-4a15-a781-4e6acd637bcb · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c31223f7-cbd0-45d7-81a5-b0af3263069e · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Chavez,Observer design for a class of nonlinear systems, with applications to chemical and biological networks, Ph.D
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 94111cea-c0a3-4657-8407-aab24b66bdee · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Craciun,Polynomial dynamical systems, reaction networks, and toric differential inclusions, SIAM J
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 610da7ba-edae-43dc-bdd0-cdc6922c37cd · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Craciun and A
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b46dbe57-92d0-4fd4-88a4-92b3b7efac64 · outbound
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f9d2eeab-7d11-4984-a6c5-da6c26ae6afa · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems On the steady states of weakly reversible chemical reaction networks
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 994f96a9-a785-4b64-9e7d-a8ac78f4a66c · outbound
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 47bcdfd8-af56-4633-b749-6a14b01a2590 · outbound
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 00a82ed8-eaa4-4402-a687-2a793d216593 · outbound
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fd816132-5b56-48bf-a4de-56eb5768f1d9 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Feinberg,On chemical kinetics of a certain class, Arch
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ea6bb9a3-8982-4679-b840-2b8041565baf · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Feinberg,Foundations of chemical reaction network theory, 2019
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1543a550-c1fd-4a3f-ae1c-46e155a44027 · outbound
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3aae7b1c-444b-43ae-a303-231eb50ba994 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Gopalkrishnan, E
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6f05f95f-5655-41f6-9416-76da8e36450d · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 21b71651-559d-4edb-bca8-5335c21fe5af · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Horn,Necessary and sufficient conditions for complex balancing in chemical kinetics, Arch
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6786e58d-823a-43f7-b97a-fa2688a363d6 · outbound
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5c0a0715-b2bb-4314-b551-fceba1a6a84f · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Hurwitz,Ueber die bedingungen, unter welchen eine gleichung nur wurzeln mit negativen reellen theilen besitzt, Math
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 42774c69-61d5-44e3-b1bf-0362ced92021 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d20448b5-92c4-4f25-a815-a5d7514baf41 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1272d5a9-d0f4-41bd-98e0-30ca5c1c20d7 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 245ebc41-f7d4-48ef-86df-d850a38d4049 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e24a4650-88c4-4c18-ab58-feebf7deb822 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 224b5d12-b7f1-4968-913c-896d575dccce · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Lazebnik and S
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5372da9a-62a8-494d-b77a-fb4c486cf030 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems De Leenheer, D
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c90dc308-8b83-45fe-8017-40f67aa1a3b4 · outbound
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 53c413a6-4298-40ea-9ce1-2d4804af4207 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Martcheva,On the mechanism of strain replacement in epidemic models with vaccination, Math- ematical Approaches for Emerging and Reemerging Infectious Diseases (C
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9b2b2903-a8cc-4a67-adaa-129d274c7cc5 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Martcheva,An introduction to mathematical epidemiology, Texts Appl
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d76f7425-bad0-4162-bc2a-5cdea781b1eb · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Martcheva, B
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 002526e7-23c7-4bef-9ea2-f488778a660b · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 45d1c67b-5170-42b7-bbdb-f99014fe2509 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 73b3a294-6b09-4485-97fc-872f5dfbd801 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 11d995d1-21c5-4211-a48a-bc90909b1a7e · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a808a859-1924-4b73-8270-97bef66a1498 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d0e775eb-e663-41a3-a3a9-fcee7fe3c0da · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Seneta,Non-negative matrices and Markov chains, Springer Sci
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0b89fcc1-cc04-4ee0-b000-d5119e6fe4a1 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Shinar and M
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 170c15b3-3b39-4063-896c-0daaaf5535ea · outbound
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 17b2130b-b4ed-40c2-babd-4c04afb33ae0 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Van den Bosch and M
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 17c8f5ed-3a29-4498-af52-ab58ba9f9a07 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems van den Driessche and J
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b039a933-d7d7-4349-bb5e-b250248f2532 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Van den Driessche and J
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 246641e6-67c5-402b-8a92-e4b832f767fe · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Van den Driessche,Reproduction numbers of infectious disease models, Infect
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d5a13778-eb74-4b8b-b0e4-a1c44db515e0 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e977f3b3-92a7-4b6e-b179-4659a7555727 · outbound
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f89859d2-ea02-4b5c-a905-54c33dde0190 · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems The set ofrecurrent statesis denotedR⊆S
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9b32ff25-5b44-4af1-aca4-3e0f9facbd3e · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems The set oftransient statesis denotedT⊆S
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 780c72ed-4821-416f-82a8-b8799413e61b · outbound
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dac7576c-beff-4f41-b8b5-ed43512e9518 · outbound
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
No inbound Pith citation observations are available.