Paper Citation Record · LEDGER

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs

As of 22 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2508.11863.

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

pith.paper-citation-record.v1
2508.11863 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T19:50:58.161276Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

39 of 39 outbound references displayed

verified exact1
verified fuzzy26
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7aaba9e4-62b3-4d0b-9826-52b2a2668d6e · outbound

This paper cites Alphonse, N.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Alphonse, N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.304724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d4177c68-8e3f-4bba-98b3-3d78fb2ec8ab · outbound

This paper cites Bahouri, G.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Bahouri, G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.298147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b4f2f852-cb33-40bf-a336-44e0c9058625 · outbound

This paper cites an unresolved cited work.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T19:51:00.290679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ad6b1a5d-7ea3-4807-97c1-c6d801ea2532 · outbound

This paper cites Global well-posedness of one-dimensional cubic fractional nonlinear Schr\"odinger equations in negative Sobolev spaces.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Global well-posedness of one-dimensional cubic fractional nonlinear Schr\"odinger equations in negative Sobolev spaces

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T19:50:54.580341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cb313dc-9d9c-4693-afe7-01f351de66aa · outbound

This paper cites Chihara, The initial value problem for Schr¨ odinger equations on the torus , Int.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Chihara, The initial value problem for Schr¨ odinger equations on the torus , Int

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.282193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1790c636-8426-4dfb-908b-4701369b427f · outbound

This paper cites Chihara, Fourth-order dispersive systems on the one-dimensional torus, J.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Chihara, Fourth-order dispersive systems on the one-dimensional torus, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.274091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 814fe4e4-1cfc-4c3a-ad0f-549a9f7e6819 · outbound

This paper cites an unresolved cited work.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T19:51:00.266464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 367b2e64-221b-4df5-a5f8-6fcace1efdbd · outbound

This paper cites an unresolved cited work.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T19:51:00.258464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a05bcca8-1f9a-4e8e-9590-c8bffdeafd32 · outbound

This paper cites Gassot, The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability , Ann.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Gassot, The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability , Ann

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.250092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9a74c35e-1c30-4d81-bce6-55d3281792a0 · outbound

This paper cites Hayashi, T.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Hayashi, T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.242066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3b1f3f21-ca13-4a30-8aa3-900b7331bf0f · outbound

This paper cites Herr, On the Cauchy problem for the derivative nonlinear Schr¨ odinger equation with periodic boundary condition , Int.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Herr, On the Cauchy problem for the derivative nonlinear Schr¨ odinger equation with periodic boundary condition , Int

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.234285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3c8050c6-b3ea-4d8e-989b-c14e7df0b4cd · outbound

This paper cites an unresolved cited work.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T19:51:00.226224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 255d71fe-c67f-411a-a21e-cf5ea470ca5f · outbound

This paper cites J¨ ockel,Well-posedness of the periodic dispersion-generalized Benjamin-Ono equa- tion in the weakly dispersive regime, Nonlinearity 37 (2024), no.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs J¨ ockel,Well-posedness of the periodic dispersion-generalized Benjamin-Ono equa- tion in the weakly dispersive regime, Nonlinearity 37 (2024), no

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.218598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c4eefb61-1488-490c-bcfc-92cedee9a61c · outbound

This paper cites Kappeler, P.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Kappeler, P

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T19:50:55.649468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3adefd40-8927-4607-9c6a-a0e79206b35e · outbound

This paper cites an unresolved cited work.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T19:51:00.205938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dd31554d-679f-48d8-9b5a-f3ca8a476331 · outbound

This paper cites an unresolved cited work.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T19:51:00.198905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2f6a3200-a60b-47db-81f5-185e0479944f · outbound

This paper cites an unresolved cited work.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T19:51:00.191353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0b2e83d1-b488-4661-913c-a7047928bac2 · outbound

This paper cites Killip, M.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Killip, M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.183475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 31d5206d-9f95-4598-88f6-55b3ccc138cb · outbound

This paper cites Kishimoto, Y.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Kishimoto, Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.175980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9e8ccf4a-8146-447e-ae4e-ebcc344589bf · outbound

This paper cites Kondo, M.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Kondo, M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.168614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 601274c0-0865-4402-87a2-32a2a400397e · outbound

This paper cites Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T19:50:56.403750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed46ac04-f008-4f47-9a77-0e29a892f7c3 · outbound

This paper cites Kwak, Low regularity Cauchy problem for the fifth-order modified KdV equations on T, J.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Kwak, Low regularity Cauchy problem for the fifth-order modified KdV equations on T, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.160360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0e10ff73-fb57-46f6-84c6-b60b93e26bbb · outbound

This paper cites Laskin, Fractional quantum mechanics and L´ evy path integrals, Phys.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Laskin, Fractional quantum mechanics and L´ evy path integrals, Phys

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.151347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cd3262d7-846b-4020-912f-73cd6b8597b9 · outbound

This paper cites Li, On Kato-Ponce and fractional Leibniz , Rev.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Li, On Kato-Ponce and fractional Leibniz , Rev

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.143340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 89129bd9-c3fa-4c32-b017-85c52f731788 · outbound

This paper cites Liang, Y.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Liang, Y

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.134493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ad31fcf9-89fc-4847-9816-b8b5a0702253 · outbound

This paper cites an unresolved cited work.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T19:51:00.126746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c71f37c1-df48-4bdf-a259-121ea36664fe · outbound

This paper cites Mizuhara, The initial value problem for third and fourth order dispersive equations in one space dimension , Funkcial.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Mizuhara, The initial value problem for third and fourth order dispersive equations in one space dimension , Funkcial

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.118602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d0354783-7d26-45d3-9520-43b555bd4524 · outbound

This paper cites Molinet, T.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Molinet, T

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.110701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a32789dc-5a6f-4a41-b696-f7536f09444a · outbound

This paper cites Nakanishi, B.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Nakanishi, B

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.102850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e0dbdaf8-3ff0-47c1-a146-bc4ccc12b3ae · outbound

This paper cites Local well-posedness for a fourth-order nonlinear dispersive system on the 1D torus.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Local well-posedness for a fourth-order nonlinear dispersive system on the 1D torus

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-05T19:50:58.422466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 82c4b157-3954-46cf-8aa7-9555dfd8664d · outbound

This paper cites Roy, Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus , Nonlinear Anal.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Roy, Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus , Nonlinear Anal

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.095113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 84d2db01-d5fb-4894-a036-5e680274e701 · outbound

This paper cites Sanchez, O.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Sanchez, O

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:51:00.087248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cb50b130-6c52-4f96-baf2-46788d5d6c28 · outbound

This paper cites Schippa, Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle , Nonlinear Anal.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Schippa, Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle , Nonlinear Anal

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:50:59.981104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 61d9f888-067a-4fe9-862b-7cbff70fa9c8 · outbound

This paper cites Segata, Refined energy inequality with application to well-posedness for the fourth order nonlinear Schr¨ odinger type equation on torus , J.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Segata, Refined energy inequality with application to well-posedness for the fourth order nonlinear Schr¨ odinger type equation on torus , J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:50:59.688764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cf79525f-0bc0-4b31-9f24-64b155bab648 · outbound

This paper cites Segata, Initial value problem for the fourth order nonlinear Schr¨ odinger type equa- tion on torus and orbital stability of standing waves , Commun.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Segata, Initial value problem for the fourth order nonlinear Schr¨ odinger type equa- tion on torus and orbital stability of standing waves , Commun

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:50:59.482465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 67b001b1-3fea-4c20-a1fd-2c5eff1280d9 · outbound

This paper cites Takaoka, Well-posedness for the one-dimensional nonlinear Schr¨ odinger equation with the derivative nonlinearity , Adv.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Takaoka, Well-posedness for the one-dimensional nonlinear Schr¨ odinger equation with the derivative nonlinearity , Adv

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:50:59.296036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 37fc556d-1f87-4b7d-9e9b-775e18a06c49 · outbound

This paper cites Tanaka, K.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Tanaka, K

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:50:59.124070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 64b60496-eedb-4736-8f90-3bec16c1d5c6 · outbound

This paper cites Tao, Multilinear weighted convolution of L2-functions, and applications to nonlin- ear dispersive equations, Amer.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Tao, Multilinear weighted convolution of L2-functions, and applications to nonlin- ear dispersive equations, Amer

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T19:50:58.911722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5c734f08-cbfd-442b-a30c-eb23e986a56f · outbound

This paper cites an unresolved cited work.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-05T19:50:58.667105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.