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Paper Citation Record · LEDGER

New structurally unstable families of planar vector fields

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.02693.

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

pith.paper-citation-record.v1
1908.02693 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:50:03.516438Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

28 of 28 outbound references displayed

  • verified exact9
  • verified fuzzy12
  • unresolved5
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2db7bd78-cc09-4e80-9f10-29619095108a · outbound

This paper cites an unresolved cited work.

New structurally unstable families of planar vector fields Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:04.321791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.334499Z digest=sha256:3faae0458797becd5553415e0381dd8f4ff0da6d3356f9a646a2548ba431951c

Observation aa15ed9d-531c-4462-b5b5-73ecb3e46455 · outbound

This paper cites an unresolved cited work.

New structurally unstable families of planar vector fields Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:04.304128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.341934Z digest=sha256:80389205869714fdc0fe09c2b115785d2486471b1f1f325b1e7d62d69e68e554

Observation 06ce9f02-d182-4642-b83e-7d9ee872c773 · outbound

This paper cites Syst` emes grossiers.

New structurally unstable families of planar vector fields Syst` emes grossiers

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.285481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.348852Z digest=sha256:911175a8c071665858798ea6b4fa44bcffb94f6d9a467b974c07ca0ca044134f

Observation 3447257a-3050-4980-bbd5-9262f3e2c8a3 · outbound

This paper cites an unresolved cited work.

New structurally unstable families of planar vector fields Unresolved cited work

Reference 4

Resolution
malformed identifier
no resolver link, observed 2026-08-14T14:50:03.360564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:50:03.360564Z digest=sha256:8bd9265305a83818d4c7359f7ca1af482123218112afb52d9fdba0444cdf1e1f

Observation a0cd1da4-3077-4f0a-a5e1-2913460ed138 · outbound

This paper cites Dynamical Systems with Stable Structures.

New structurally unstable families of planar vector fields Dynamical Systems with Stable Structures

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.265380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.367321Z digest=sha256:22472185ca3614305e320d5dd2d697ae7124f302473edf4714a06d7c6340a8c8

Observation 328d26fd-f76d-4c84-b85f-a788857e1c91 · outbound

This paper cites Bifurcations of the ‘heart’ polycycle in generic 2-parameter fam- ilies.

New structurally unstable families of planar vector fields Bifurcations of the ‘heart’ polycycle in generic 2-parameter fam- ilies

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.246138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.374090Z digest=sha256:2649f2c4e0eaa12f32f946bfe51d06c2322f821306443be8a922e2600dd45a0b

Observation ef1ecb6c-ff60-4088-b3c8-b05093cf1c18 · outbound

This paper cites Functional invariants in generic semilocal families of vector fields on two-dimensional sphere.

New structurally unstable families of planar vector fields Functional invariants in generic semilocal families of vector fields on two-dimensional sphere

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.225769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.380753Z digest=sha256:d4a124d388869ded244c6896e0b0f34c202e5f4fab6dc3901bb9113d00e03d76

Observation d43e5ad2-fef8-4b6a-95e2-bc50c9ebb79e · outbound

This paper cites Numerical invariants in generic semilocal families of vector fields on two-dimensional sphere.

New structurally unstable families of planar vector fields Numerical invariants in generic semilocal families of vector fields on two-dimensional sphere

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.208333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.386342Z digest=sha256:edb73fb0479754ea879cd7f5afad76f7a87aeb2addc0e1eedc2b6d6f18fdfd13

Observation 2fcaf7d0-94d8-4040-86a2-369e28990313 · outbound

This paper cites On the saddle loop bifurcation.

New structurally unstable families of planar vector fields On the saddle loop bifurcation

Reference 9

Resolution
verified exact
doi, observed 2026-08-14T14:50:03.718265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.391841Z digest=sha256:4b348ea8691b90a0a43b1b6965fe3d78836b1a4048503f82e2a2fc5265273754

Observation b5897280-d14f-4c08-b658-11d5884ae8d2 · outbound

This paper cites Convergence of the Krylov–Bogolyubov Procedure in Bowan’s Example.

New structurally unstable families of planar vector fields Convergence of the Krylov–Bogolyubov Procedure in Bowan’s Example

Reference 10

Resolution
verified exact
doi, observed 2026-08-14T14:50:03.696636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.397821Z digest=sha256:e1847448c3190fa7bdbc869feaea2ae56cfe9d0721377d4e70c25da06c108612

Observation e74076cf-65f1-4c7b-9b28-b8797ed7bd03 · outbound

This paper cites Large bifurcation supports.

New structurally unstable families of planar vector fields Large bifurcation supports

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T14:50:03.403187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:50:03.403187Z digest=sha256:14b0e45bc23b08a16167fc650535ed8abfd818596e2ff6608383f196f078f39f

Observation 28eb7084-f089-4743-86bb-602a1dd53967 · outbound

This paper cites Equivalence relations in bifurcations of planar vector fields.

New structurally unstable families of planar vector fields Equivalence relations in bifurcations of planar vector fields

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.189615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.409194Z digest=sha256:ba09709b647fc15e5230ff4d785ddce9a7175935342ef6e4ecaf971b1e27c2de

Observation 0d86b8df-1bf6-4550-a89b-4092f612420a · outbound

This paper cites Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$.

New structurally unstable families of planar vector fields Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:50:03.953635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.414895Z digest=sha256:f2793e957a1461353204c7a96150aa18c3b35d72db6582cbf77cd1a6ac58abbf

Observation 6cf594ad-94cc-452e-8254-cc6a25e90a90 · outbound

This paper cites Bifurcations of planar vector fields: new examples of families with functional invariants.

New structurally unstable families of planar vector fields Bifurcations of planar vector fields: new examples of families with functional invariants

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.167244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.420777Z digest=sha256:26cf44e5fc9f4b6e201de3b25e1e5ef84cdccf5ca375481fc4cb27bed0b6c9ad

Observation 7f745cbc-72bd-4171-8201-f0d8cd40d897 · outbound

This paper cites Towards the General Theory of Global Planar Bifurcations.

New structurally unstable families of planar vector fields Towards the General Theory of Global Planar Bifurcations

Reference 15

Resolution
malformed identifier
no resolver link, observed 2026-08-14T14:50:03.426778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:50:03.426778Z digest=sha256:da7c14784837cc1a19d2ce300c0a1af20e1f414087ebcc215c8eafa749496d09

Observation e98738d8-467b-48c4-9a98-e5568b97e7a3 · outbound

This paper cites Global bifurcations in the two-sphere: a new perspective.

New structurally unstable families of planar vector fields Global bifurcations in the two-sphere: a new perspective

Reference 16

Resolution
verified exact
doi, observed 2026-08-14T14:50:03.657707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.432707Z digest=sha256:5f08e8f332c9992d2bac2da759b6f8ece3437b3f6a4574a70a24aff552fc21a0

Observation 993b4428-b143-4efe-85c9-fd5fc919d3a8 · outbound

This paper cites Global Bifurcations in Generic One- Parameter Families with a Separatrix Loop on S2.

New structurally unstable families of planar vector fields Global Bifurcations in Generic One- Parameter Families with a Separatrix Loop on S2

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.146283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.438106Z digest=sha256:fbba282063b03e8ad122184fce50defc2d037d38ac3c00f77e8961e5b4b04310

Observation 2f93ed9b-cb53-4219-bbae-00879a2dab51 · outbound

This paper cites Bifurcations of the polycycle "tears of the heart": multiple numerical invariants.

New structurally unstable families of planar vector fields Bifurcations of the polycycle "tears of the heart": multiple numerical invariants

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:50:03.922692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.443851Z digest=sha256:7dff7023c4446b8ee34793c0f3b555e100bdece069bdd3834d960387efba8df9

Observation 838b1b2a-baa4-4c80-903f-f85b8f2a6a45 · outbound

This paper cites Kuznetsov.

New structurally unstable families of planar vector fields Kuznetsov

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T14:50:03.451582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:50:03.451582Z digest=sha256:fada70ecdab6ae20c0a70fb99ff3efcabc825acac6e2caa24d8156739b637f4e

Observation cf8f8c84-35a6-4383-810e-83b47569d1c0 · outbound

This paper cites Families of vector fields with finite modulus of stability.

New structurally unstable families of planar vector fields Families of vector fields with finite modulus of stability

Reference 20

Resolution
verified exact
doi, observed 2026-08-14T14:50:03.610719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.457342Z digest=sha256:759854ce94d0f78014db98344ac74b87aaaccf90093174f776ce9b0a66f98c56

Observation a198bc66-aa05-44d0-9a30-41f1d6eccb21 · outbound

This paper cites On Structural Stability.

New structurally unstable families of planar vector fields On Structural Stability

Reference 21

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:50:03.892132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.462966Z digest=sha256:d99db98db34b23105bc4448c554d38296a3905a3778a0b1e6b5d3b3166c232ab

Observation 83782d69-ec6f-4462-bbb7-bb9363ad5898 · outbound

This paper cites Structural stability on two-dimensional manifolds. A further re- mark.

New structurally unstable families of planar vector fields Structural stability on two-dimensional manifolds. A further re- mark

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T14:50:03.475137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:50:03.475137Z digest=sha256:9d3f8f3a852f4933b4a2c20300dc2510dce666a78a5523b256930e3ffd03fbc1

Observation a4bd9849-370b-4879-b953-2c23819bb754 · outbound

This paper cites Non-local two-parametric bifurcations of planar vector fields.

New structurally unstable families of planar vector fields Non-local two-parametric bifurcations of planar vector fields

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.128342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.481727Z digest=sha256:bbfe0715782bf07883e84db0c6850b03e8d167c454ca7dd4946945f906c6f038

Observation 45cee8a2-f2eb-4c10-bc1e-dd2ab0486a15 · outbound

This paper cites On bifurcation of vector fields with a separatrix winding onto a polycycle formed by separatrices of two saddles of different types.

New structurally unstable families of planar vector fields On bifurcation of vector fields with a separatrix winding onto a polycycle formed by separatrices of two saddles of different types

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.109291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.488791Z digest=sha256:d6c97ec17e4d9ab8b6a223f4737062440637215810c8d8ebabd6a8a3b64d1d8f

Observation 3fb0dc19-0716-4ae3-a0c9-b74dc4a9355e · outbound

This paper cites Weak and continuous equivalences for families on line diffeomor- phisms.

New structurally unstable families of planar vector fields Weak and continuous equivalences for families on line diffeomor- phisms

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.087305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.494655Z digest=sha256:daa864d434528e4f3e149f092aefb061c75126d37eec8f56f8d4aef970123e00

Observation e69778a7-5248-49f9-be57-ec611072ea3f · outbound

This paper cites On bifurcation of separatrix contours with two saddles.

New structurally unstable families of planar vector fields On bifurcation of separatrix contours with two saddles

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:04.068122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.502487Z digest=sha256:4c700edc30b835e5dafa2420b10d069dbee5c7e4c73fefe1c2a93ad86f74ea7f

Observation 072ace94-555c-4e87-8b4c-1e99c5feaa57 · outbound

This paper cites Generic one-parameter families of vector fields on two-dimensional manifolds.

New structurally unstable families of planar vector fields Generic one-parameter families of vector fields on two-dimensional manifolds

Reference 28

Resolution
verified exact
doi, observed 2026-08-14T14:50:03.589265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.509448Z digest=sha256:70112acfdaa79d2d64331d5a8a330a353171f0b075c0248b049a8a8ebe3b6a54

Observation 9ea76522-1f21-44bb-a7f0-75abbbea2ff5 · outbound

This paper cites Global Bifurcations in Generic One-parameter Families on S2.

New structurally unstable families of planar vector fields Global Bifurcations in Generic One-parameter Families on S2

Reference 29

Resolution
verified exact
doi, observed 2026-08-14T14:50:03.568074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:50:03.516438Z digest=sha256:d7bb4bf2d940fb156ccf0430a933a9bccf208c1f5ad16d233e8f733c41961a0b

Pith citing papers

No inbound Pith citation observations are available.