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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.334499Z digest=sha256:5f209be7444955d9e638274eec1c8a36463e1d42269945784e6cc6f3ce6ee34d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.341934Z digest=sha256:9e7ab7f0171e0bedd6182f200447eacb004138e9d803f0cbc8322d961b669cdb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.348852Z digest=sha256:7e25cd2d2026739e7608e08c6b901955d8ce8a43773dc0f37eea75952e9977c8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.367321Z digest=sha256:ee44c4a095881994f17f82f52baa28480efe1767f37418d337b399139206fe07

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.374090Z digest=sha256:caa6aabf949c09b83933e942af8ac208e5d767eb8fe36c565281f7cfdd126ad2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.380753Z digest=sha256:197c3581aa64023a8ee223e26b52412ee7b73c0cf1a6124e7bfce5532d33b009

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.386342Z digest=sha256:36d7c0a2da275059af45b8de199b3dcac42c0bab8b5cd670d10603ecd7367a7c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.391841Z digest=sha256:061bd5c48e5fcccd36e70408b9996ed3ceb7ebe35dc04a7a31605448139b05b0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.397821Z digest=sha256:c5d22c04a47dfa0cc38ce70577ccb0846b3911b5b39bcdfe821469ae80d8aa7a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.409194Z digest=sha256:8c8a9ff5e8772ae62496d2bf486d6f57a43962b6df14c52dab5308a0d89ed169

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.414895Z digest=sha256:ddda2dafde49eae5a7c13c699608e887e9992c9fc67f7b6a730f69759b7cbd5a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.420777Z digest=sha256:5f65b0725363c6e6af37b19068981023a791d0813dd92f1aae55403d01c53919

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.432707Z digest=sha256:24f0b5444a8d9aad49ae10788cc34bee50a636f0481bc9bc750fffb403f059bb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.438106Z digest=sha256:bc01d931f0eb5ac9effa578e5479134f9ab1b136df9b6093a35a129ab7b1053f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.443851Z digest=sha256:bf3f864338441586a00c446e4dcaec73f2f5ed5b7f1cc837bcda02980ccd1d69

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.457342Z digest=sha256:6b1204930d7e0a3d8c17ca45db5aeb7075dc8449ee55e9ef1f64926f3964f31c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.462966Z digest=sha256:50ad44770a7971e6333871897c8fb23da3bc222be4dafb4c9e5423e5edaa054a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.481727Z digest=sha256:c0394a36a7c7df84f00f69d8628c5e107be56dbf9ab1a11f7877082a08f4e1bc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.488791Z digest=sha256:cf63e84a25b11f82fa4e8f17a925fbd4987d87f28dd2d6feeae84b3d36bdb17b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.494655Z digest=sha256:4df5529e1a8409005094a8aa245ac1974cd83ff739332fd02a1eb6c732708bcb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.502487Z digest=sha256:1308a7a7a66a88ed89d3f7cec120f626dd57e4635fe18d059289e412e5f08699

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.509448Z digest=sha256:e35cf0127c7be8e99ba772c7cd72f7e8902be6404fb5b66544ade69c8f667142

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:03.516438Z digest=sha256:7c0cbf7c704fcf568932cb0c1b7b180e3717be80155f1a59a2fedbdbc82634f2

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