Pith. sign in

Paper Citation Record · LEDGER

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.05576.

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

pith.paper-citation-record.v1
1908.05576 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:20:06.360823Z

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 exact0
  • verified fuzzy27
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1dced4aa-f0fc-48ed-b1e2-9e7117f0600b · outbound

This paper cites Belbruno.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Belbruno

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:07.182447Z

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=2026-08-14T13:20:06.147671Z digest=sha256:35d5ba4f4afdf8f181b2c1376a1f25cadb695af2fddf79d1aacc39ce4e94eaf3

Observation 98987d04-1fc4-4cb8-9671-9c2c2e501fca · outbound

This paper cites Belitskii.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Belitskii

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:07.151347Z

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=2026-08-14T13:20:06.153829Z digest=sha256:ab2b6d6c3eebe86c4b4f1608950949fcdf895d85aac0d49dba9fa01e100d007a

Observation 7221a8bf-f778-403f-951e-176165f3893a · outbound

This paper cites Belitskii.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Belitskii

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:07.118247Z

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=2026-08-14T13:20:06.160318Z digest=sha256:254fc4cf9f0a2d8546195ffe95dc208352bbb7d4df41a521701426f43a116d6f

Observation 5bf2109b-f5c2-40a4-a4f4-e360a544c842 · outbound

This paper cites Isolated invariant sets and isolating blocks.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Isolated invariant sets and isolating blocks

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:07.097772Z

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=2026-08-14T13:20:06.167031Z digest=sha256:25ce21c0db5db131fa48633d0881c5dc75db7b28d854e309c514df4bcf2de182

Observation 7157d448-477c-47ce-a87f-40e5d7189489 · outbound

This paper cites Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:07.071291Z

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=2026-08-14T13:20:06.174173Z digest=sha256:d87e5a96b92e74ac6be9728c9cbb9bd32fa2c72886c17a2991e4432fd4cd3a3f

Observation 99d7f3ba-1c8d-43c0-ab79-e750a7fb92e1 · outbound

This paper cites Regularisation for Planar Vector Fields.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Regularisation for Planar Vector Fields

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T13:20:06.180444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:20:06.180444Z digest=sha256:1991a29da9001ba81840b808355e936ecee507b10d0760e46dd574018d24a88e

Observation a7c2bafd-877f-4bf4-a17b-a392382fbdf4 · outbound

This paper cites Singularities of vector fields on the plane.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Singularities of vector fields on the plane

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:07.033531Z

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=2026-08-14T13:20:06.187517Z digest=sha256:2dbb851113723c6195c95daa77f474d314e58a9b622e8ab665586fa593a888c4

Observation c450abc0-8bef-4d5e-b73f-01ee6bcc61df · outbound

This paper cites Regularization of vector fields by surgery.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Regularization of vector fields by surgery

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:07.001029Z

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=2026-08-14T13:20:06.195643Z digest=sha256:16a191cbd6be6cc0c45e71f6345c578b114ed7330e0b0685b99afbcc419ace8d

Observation e69b7130-43ea-4d3a-9174-a912c7e22acc · outbound

This paper cites The topology of the regularized integral surfaces of the 3-body problem.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem The topology of the regularized integral surfaces of the 3-body problem

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.969069Z

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=2026-08-14T13:20:06.204492Z digest=sha256:2d189388e949f2afd78fd5a78ceec8d7a9165f3a643eee63293e78e213d9146c

Observation 95225525-618d-454b-a9df-3b530d4c5300 · outbound

This paper cites The Geometry of Schemes , volume 197.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem The Geometry of Schemes , volume 197

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.942305Z

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=2026-08-14T13:20:06.214224Z digest=sha256:9e79699d3cb82acda6314de3618c6c482954f2c7ef35159cb0bf2cb6018aeced

Observation 835c2e4d-80be-47be-8440-0a1707cd302d · outbound

This paper cites Collision singularities in celestial mechanics.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Collision singularities in celestial mechanics

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.916737Z

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=2026-08-14T13:20:06.221729Z digest=sha256:cebaa98671566270315e67ff3b07a1256f1615be0e1317eb006b6d61c30e65c4

Observation 52d77662-0340-4a3a-9bec-36e269876f3a · outbound

This paper cites On simultaneous binary collisions in the planar n-body problem.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem On simultaneous binary collisions in the planar n-body problem

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.881033Z

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=2026-08-14T13:20:06.229711Z digest=sha256:ab8f7f13aeeede0abdc6d8cf19ca02b529f02ce9ae2811c84e8911d237c1e7fc

Observation 645d81af-c2bd-4d6a-87bd-c5f78614765e · outbound

This paper cites Simultaneous binary collisions in the collinear N-body problem.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Simultaneous binary collisions in the collinear N-body problem

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.855760Z

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=2026-08-14T13:20:06.246068Z digest=sha256:db93824ddf906a5f173d4944837b8a0d797ac9cd4605467b5377e46cf474733e

Observation 751727e6-af96-4385-b73b-ce71c4a91304 · outbound

This paper cites Collision–Ejection Manifold and Collective Analytic Continuation of Simultane- ous Binary Collisions in the Planar N-Body Problem.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Collision–Ejection Manifold and Collective Analytic Continuation of Simultane- ous Binary Collisions in the Planar N-Body Problem

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.825362Z

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=2026-08-14T13:20:06.254470Z digest=sha256:07bec865f6bfd41e44ad8b129a7663d2ba62d7a437e5e04b01d0c79884faa945

Observation 17f75ac2-7df7-40da-8796-600d933ca37a · outbound

This paper cites The flow of the N-body problem near a simultaneous-binary-collision singularity and integrals of motion on the collision manifold.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem The flow of the N-body problem near a simultaneous-binary-collision singularity and integrals of motion on the collision manifold

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.801425Z

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=2026-08-14T13:20:06.264306Z digest=sha256:a5f7b7fc4eac453b913f44d2c5353bf038e235a736b617ccc2ffb59d9ea09ce4

Observation bfef9c71-65b8-4969-b30d-9fcdf50151b5 · outbound

This paper cites Elphick, E.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Elphick, E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.777940Z

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=2026-08-14T13:20:06.270900Z digest=sha256:356eb7463a1df2d28b619d636137e24628507bb4f5f3ff10ba6965247313fbb3

Observation 592af8bd-2601-4b4a-ac93-f278335b111b · outbound

This paper cites Normal forms of analytic perturbations of quasihomogeneous vector fields: Rigidity, invariant analytic sets and exponentially small approximation.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Normal forms of analytic perturbations of quasihomogeneous vector fields: Rigidity, invariant analytic sets and exponentially small approximation

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.757242Z

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=2026-08-14T13:20:06.275494Z digest=sha256:b109c1bf2249baf58ea5d3a5b5e8cb728744cfae54e93a2256dfd74ba0858152

Observation d57a97bc-e04f-40e3-b7f7-0262cb2c56fe · outbound

This paper cites Simultaneous binary collisions in the planar four-body problem.Nonlin- earity, 12(4):903, 1999.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Simultaneous binary collisions in the planar four-body problem.Nonlin- earity, 12(4):903, 1999

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.731368Z

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=2026-08-14T13:20:06.282179Z digest=sha256:7d49587bcdf10d66956efb9752b4ce49328665797b4755127449be572ad1a72e

Observation 674512fc-ee54-41c4-8168-02f23c956fd0 · outbound

This paper cites The degree of differentiability of the regularization of simultaneous binary collisions in some N-body problems.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem The degree of differentiability of the regularization of simultaneous binary collisions in some N-body problems

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.709730Z

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=2026-08-14T13:20:06.292254Z digest=sha256:4f75919ccaad10fee6a64b80d4c63875357ea659bf4550263406a209bef180e0

Observation eb7f6979-d1a7-4f2b-9bcf-46bce702f1fd · outbound

This paper cites Triple collision in the collinear three-body problem.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Triple collision in the collinear three-body problem

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.673401Z

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=2026-08-14T13:20:06.299163Z digest=sha256:992081b782cc5e4988298b76aa9da851c9811dd8bde3bc4d34c53d5ca621a78d

Observation 46ca9624-ffa3-4e42-b69e-e8e0603264ab · outbound

This paper cites Normal Forms and Unfoldings for Local Dynamical Systems.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Normal Forms and Unfoldings for Local Dynamical Systems

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.644481Z

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=2026-08-14T13:20:06.309134Z digest=sha256:1e5a019c67498be05c2ebaca6796c24de792a5bb6d637b53eeede88299922b45

Observation 93b4b1c3-3f3d-461f-8365-a3e9f4ac995e · outbound

This paper cites Regularization of simultaneous binary collisions and solutions with singu- larities in the collinear four-body problem.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Regularization of simultaneous binary collisions and solutions with singu- larities in the collinear four-body problem

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.619441Z

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=2026-08-14T13:20:06.318412Z digest=sha256:4095d45028944093a6a13aba4e3acc4dd860ccf8b6291efa51918b9ff9373c28

Observation 295065b3-18be-43d7-840a-9f9b3dcc8d64 · outbound

This paper cites Regularization of simultaneous binary collisions in some gravitational systems.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Regularization of simultaneous binary collisions in some gravitational systems

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.590856Z

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=2026-08-14T13:20:06.328896Z digest=sha256:369e51df3977bcc9262186a211c91d3d94da8a94a8409545f451471a5c0b3027

Observation 695c2fbe-ea0b-45d2-bc59-30ab58385026 · outbound

This paper cites Bifurcation of Planar Vector Fields and Hilbert’s Sixteenth Problem , volume 164 of Progress in Mathematics.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Bifurcation of Planar Vector Fields and Hilbert’s Sixteenth Problem , volume 164 of Progress in Mathematics

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.556696Z

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=2026-08-14T13:20:06.335589Z digest=sha256:26422be4b8d4d0d59f360bb408cfb65c0e26a13720d5ba185f05d46f0b3173d6

Observation 6af37d9f-eaa8-4462-8937-920a90f318ef · outbound

This paper cites The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.532463Z

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=2026-08-14T13:20:06.343020Z digest=sha256:71306a42e342106ad9dfc2b7238bd796ac050a7492959e6c11204dd9e4b3a141

Observation 794bbb25-99e8-4a55-afec-be3f0fd8bcc7 · outbound

This paper cites Springer, 2012.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Springer, 2012

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.506328Z

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=2026-08-14T13:20:06.349954Z digest=sha256:ed1d1c68544b51b4b614fead6cb01912fdad0ce9105157a5e62fae3a96d93461

Observation 03a5d4d7-c672-4ca3-b02c-d40dc48dbe1f · outbound

This paper cites Some questions looking for answers in dynamical systems.Discrete and Continuous Dynamical Systems - A , 38(12):6215–6239, 2018.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Some questions looking for answers in dynamical systems.Discrete and Continuous Dynamical Systems - A , 38(12):6215–6239, 2018

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.480812Z

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=2026-08-14T13:20:06.355374Z digest=sha256:6c30612b652f2a60fd748e27161fd0acb63b0fb8a9faea2b7400e63c228910eb

Observation 64c224d5-a690-4b9c-a3eb-3e2ef60acdbf · outbound

This paper cites Regularization of simultaneous binary collisions in the n-body problem.

On the $ C^{8/3} $-Regularisation of Simultaneous Binary Collisions in the Collinear 4-Body Problem Regularization of simultaneous binary collisions in the n-body problem

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:20:06.460215Z

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=2026-08-14T13:20:06.360823Z digest=sha256:24c69f5ee47523b89d161d0ab9cadbfc39b918af3c5ac1c83b81b60eaa4508e7

Pith citing papers

No inbound Pith citation observations are available.