Paper Citation Record · LEDGER

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem

As of 16 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:1908.09252.

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pith.paper-citation-record.v1
1908.09252 v4

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:30:46.878276Z

measured 44 of 44 standing notices

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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.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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verified fuzzy41
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External citation measurements

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Outbound references

Observation 8be289e3-465d-4481-ab10-1d30b469c3f6 · outbound

This paper cites Albouy , Lectures on the Two-Body Problem, Classical and Celestial Mechanics, The Recife Lectures, H.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Albouy , Lectures on the Two-Body Problem, Classical and Celestial Mechanics, The Recife Lectures, H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.357669Z

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.

Observation 2d07298f-5702-4c7f-95f5-3f4d73f9cc81 · outbound

This paper cites Albouy and V.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Albouy and V

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.347619Z

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.

Observation 4596fd5f-29e2-4e2d-8975-ae770459e3cb · outbound

This paper cites , P´erez-Chavela, E.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem , P´erez-Chavela, E

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.337790Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f91eadf9-1637-4741-bf2e-b16bb5110b69 · outbound

This paper cites Ballmann, M.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Ballmann, M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.327686Z

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.

Observation 8fa0831d-48b5-4ee4-932f-2e18f3981708 · outbound

This paper cites Bardi and I.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Bardi and I

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.317780Z

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.

Observation d773e105-d0cc-4809-a31e-68c2bc759b11 · outbound

This paper cites Barles Solutions de viscosit´ e des ´ equations de Hamilton-Jacobi,Math´ ematiques et Ap- plications, vol.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Barles Solutions de viscosit´ e des ´ equations de Hamilton-Jacobi,Math´ ematiques et Ap- plications, vol

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.308799Z

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.

Observation d4ff0252-649c-4a6e-819a-0cb400172593 · outbound

This paper cites Bernard The Lax–Oleinik semi-group: a Hamiltonian point of view, Proceedings of the Royal Society of Edinburgh , Section: A Mathematics, 142 (6) (2012), 1131–1177.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Bernard The Lax–Oleinik semi-group: a Hamiltonian point of view, Proceedings of the Royal Society of Edinburgh , Section: A Mathematics, 142 (6) (2012), 1131–1177

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.298961Z

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.

Observation 685e6dbf-772e-48e1-abd0-72dafe420f24 · outbound

This paper cites Chazy , Sur certaines trajectoires du probl` eme des n corps, Bull.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Chazy , Sur certaines trajectoires du probl` eme des n corps, Bull

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.289097Z

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.

Observation 9cb1fb40-9255-48dd-894f-a28bf2af0af0 · outbound

This paper cites Chazy, Sur l’allure du mouvement dans le probl` eme des trois corps quand le temps croˆ ıt ind´ eﬁniment,Ann.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Chazy, Sur l’allure du mouvement dans le probl` eme des trois corps quand le temps croˆ ıt ind´ eﬁniment,Ann

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.279778Z

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.

Observation 0665ce46-3ef0-4e14-89b5-56b524cef2fd · outbound

This paper cites Chenciner, `A l’inﬁni en temps ﬁni, S´ eminaire Bourbaki n.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Chenciner, `A l’inﬁni en temps ﬁni, S´ eminaire Bourbaki n

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.270109Z

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.

Observation 896e7b39-5fa9-40ef-b27d-dc3e0253686d · outbound

This paper cites Chenciner, Collisions totales, mouvements compl` etement paraboliques et r´ eduction des homoth´ eties dans le probl` eme desn corps, Regul.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Chenciner, Collisions totales, mouvements compl` etement paraboliques et r´ eduction des homoth´ eties dans le probl` eme desn corps, Regul

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.260636Z

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.

Observation ffd703d3-c118-47ce-8873-abfa091225b9 · outbound

This paper cites Chenciner, Action minimizing solutions of the Newtonian n-body problem: from homol- ogy to symmetry, Proceedings of the International Congress of Mathematicians Beijing 2002, vol.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Chenciner, Action minimizing solutions of the Newtonian n-body problem: from homol- ogy to symmetry, Proceedings of the International Congress of Mathematicians Beijing 2002, vol

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.250956Z

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.

Observation c6cb9524-5a77-43da-af5c-23dcd29aaaeb · outbound

This paper cites Chenciner and R.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Chenciner and R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.240440Z

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.

Observation 0068122a-7132-402f-9aa5-803e0f21a6f1 · outbound

This paper cites Crandall and P.-L.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Crandall and P.-L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.230619Z

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.

Observation ef2a9369-59e3-4438-a1d3-16e736b3f3c6 · outbound

This paper cites Crandall , L.C.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Crandall , L.C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.220816Z

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.

Observation 0d2532fe-c95f-42b7-9b32-91f836dc5148 · outbound

This paper cites da Luz and E.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem da Luz and E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.210994Z

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.

Observation 01f403e8-42f8-4923-ae8e-05b398258c11 · outbound

This paper cites Diacu , Singularities of the N-body problem, in Classical and celestial mechanics: the Recife lectures, edited by H.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Diacu , Singularities of the N-body problem, in Classical and celestial mechanics: the Recife lectures, edited by H

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.201266Z

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.

Observation b23667ec-e91a-470b-8af3-2e3484bcf172 · outbound

This paper cites Chazy-Type Asymptotics and Hyperbolic Scattering for the $n$-Body Problem.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Chazy-Type Asymptotics and Hyperbolic Scattering for the $n$-Body Problem

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:30:46.912374Z

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.

Observation 2d5654c6-4b22-43a4-9534-1ba1dec09eea · outbound

This paper cites Evans, Partial Diﬀerential Equations, second edition,Graduate Studies in Mathematics, vol.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Evans, Partial Diﬀerential Equations, second edition,Graduate Studies in Mathematics, vol

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.190292Z

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.

Observation 3f546e3e-15f4-4076-9faf-3acb2c8bf8dd · outbound

This paper cites Evans, Weak KAM theory and partial diﬀerential equations, in Calculus of Variations and Non-Linear Partial Diﬀerential Equations (B.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Evans, Weak KAM theory and partial diﬀerential equations, in Calculus of Variations and Non-Linear Partial Diﬀerential Equations (B

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.180046Z

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.

Observation 8e408663-b9f5-4b55-a31a-eaa740eeaca1 · outbound

This paper cites an unresolved cited work.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:47.169653Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ad8897af-e425-48bb-ac0a-19a72c65e882 · outbound

This paper cites Ferrario and S.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Ferrario and S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.159652Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b9f462ad-311a-4a5c-9eee-6c55a6d5be6b · outbound

This paper cites Gromov, Hyperbolic manifolds, groups and actions, in Riemann surfaces and related topics, Stonybrook conference, Ann.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Gromov, Hyperbolic manifolds, groups and actions, in Riemann surfaces and related topics, Stonybrook conference, Ann

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.150096Z

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.

Observation 20a99ef4-b4e4-4e03-b5ee-0541d6ad6ab1 · outbound

This paper cites Hampton and R.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Hampton and R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.140513Z

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.

Observation 5e648644-1cda-48f2-bedf-e45400fc1772 · outbound

This paper cites Maderna, On weak KAM theory for N-body problems, Ergod.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Maderna, On weak KAM theory for N-body problems, Ergod

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.130694Z

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.

Observation 6e1b3ad0-a462-4c25-9479-6563d83f1141 · outbound

This paper cites Maderna, Minimizing conﬁgurations and Hamilton-Jacobi equations of homogeneous N- body problems, Regul.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Maderna, Minimizing conﬁgurations and Hamilton-Jacobi equations of homogeneous N- body problems, Regul

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.120656Z

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.

Observation 7e9a5d9a-84f7-4815-8be1-c6997cf5e9b8 · outbound

This paper cites Maderna and A.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Maderna and A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.110222Z

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.

Observation d59cd4fc-e93a-4810-8cd9-6646ec0334fb · outbound

This paper cites Marchal, How the method of minimization of action avoids singularities,Celestial Mech.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Marchal, How the method of minimization of action avoids singularities,Celestial Mech

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.099942Z

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.

Observation 95f06f31-6898-4984-ba36-3347434b331b · outbound

This paper cites Marchal and D.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Marchal and D

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.089291Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d5f89adc-fb06-46fe-bf83-dc3388869204 · outbound

This paper cites McGehee , Von Zeipel’s theorem on singularities in celestial mecanics, Expo.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem McGehee , Von Zeipel’s theorem on singularities in celestial mecanics, Expo

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.079202Z

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.

Observation c8655f42-a3e1-4e96-90a9-1960e952112d · outbound

This paper cites Moeckel , R.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Moeckel , R

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.066598Z

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.

Observation bd6ef761-8eaf-4d8e-9b13-e09aef939c3c · outbound

This paper cites Moser, Stable and Random Motion in Dynamical Systems, Ann.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Moser, Stable and Random Motion in Dynamical Systems, Ann

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.055641Z

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.

Observation f48caecf-3251-4359-96b7-ae0a2e706ff5 · outbound

This paper cites Palmore, Measure of degenerate relative equilibria I, Ann.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Palmore, Measure of degenerate relative equilibria I, Ann

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.045166Z

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.

Observation 4b6c0ad6-e8da-4774-a466-51629cee899e · outbound

This paper cites Percino-Figueroa, Null angular momentum and weak KAM solutions of the Newtonian N-body problem, SIGMA Symmetry Integrability Geom.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Percino-Figueroa, Null angular momentum and weak KAM solutions of the Newtonian N-body problem, SIGMA Symmetry Integrability Geom

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.034415Z

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.

Observation 1d2a119e-9a77-4650-9c20-6b43fb789d50 · outbound

This paper cites Percino-Figueroa and H.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Percino-Figueroa and H

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.023657Z

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.

Observation 77c3534e-4a11-47f8-912e-c4e34676ea5c · outbound

This paper cites Poincar ´e, Sur les solutions p´ eriodiques et le principe de moindre action, C.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Poincar ´e, Sur les solutions p´ eriodiques et le principe de moindre action, C

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.013538Z

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.

Observation 791de25c-034a-4e22-9c2d-c9502449ddc1 · outbound

This paper cites Pollard, The behavior of gravitational systems, J.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Pollard, The behavior of gravitational systems, J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:47.003056Z

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.

Observation 51280895-f21c-4b14-ab81-ec4cec506475 · outbound

This paper cites Saari and Z.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Saari and Z

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:46.992049Z

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.

Observation aed43c48-2bd7-4ced-9c60-daa24a2c4df6 · outbound

This paper cites an unresolved cited work.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:46.981072Z

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.

Observation dc2b9692-7157-44a0-bc40-9802f3d60fc0 · outbound

This paper cites Sitnikov, The existence of oscillatory motions in the three-body problem, Dokl.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Sitnikov, The existence of oscillatory motions in the three-body problem, Dokl

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:46.968892Z

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.

Observation b116e04f-2107-40a3-8de2-49534b069a89 · outbound

This paper cites Wintner, The Analytical Foundations of Celestial Mechanics, Princeton Mathematical Series, vol.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Wintner, The Analytical Foundations of Celestial Mechanics, Princeton Mathematical Series, vol

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:46.957563Z

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.

Observation 73a4b9d2-2c9e-4b91-be2e-54eff86c59ad · outbound

This paper cites Xia, The existence of noncollision singularities in Newtonian systems, Ann.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Xia, The existence of noncollision singularities in Newtonian systems, Ann

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:46.946317Z

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.

Observation 7b5778ba-65aa-4b61-9031-ee1776515d84 · outbound

This paper cites Yu and S.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem Yu and S

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:46.935245Z

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.

Observation 45d78040-b979-4f23-8dd4-e2090f25c998 · outbound

This paper cites von Zeipel , Sur les singularit´ es du probl` eme des n corps, Ark.

Viscosity solutions and hyperbolic motions: a new PDE method for the $N$-body problem von Zeipel , Sur les singularit´ es du probl` eme des n corps, Ark

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:46.924110Z

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.

Pith citing papers

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