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Paper Citation Record · LEDGER

On the inverse problem of the two-velocity tree-like graph

As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2505.22138.

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

pith.paper-citation-record.v1
2505.22138 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:28:12.328301Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy21
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation adf891d3-df99-4a72-a502-ee91d4c3606e · outbound

This paper cites Avdonin, Control problems on quantum graphs, in: Analysis on Graphs and its Applications, P.

On the inverse problem of the two-velocity tree-like graph Avdonin, Control problems on quantum graphs, in: Analysis on Graphs and its Applications, P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:17.473999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:09.288256Z digest=sha256:48ff21a948eced5f1ca8d975b26a01fa913d4f906b6626d5038985a97f52ab49

Observation ad0bdcb1-f7ed-4ccf-b4e7-4d3aaa9935ef · outbound

This paper cites Avdonin, B.

On the inverse problem of the two-velocity tree-like graph Avdonin, B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:17.305723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:09.382681Z digest=sha256:62c4705f47f1ba19600c02d5527a42f33df8caf6eeb294fc35abd152482a018f

Observation c8d42940-239a-406d-ae89-cbd1d1f66de8 · outbound

This paper cites Avdonin, M.I.

On the inverse problem of the two-velocity tree-like graph Avdonin, M.I

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:17.092324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:09.505115Z digest=sha256:ad4676a1f2fa00682b4511127dfdf53d4d96ceba5addd16a759c34153a4f1423

Observation a486d4f1-051d-4613-a2a3-5e29ed86acac · outbound

This paper cites Avdonin and J.

On the inverse problem of the two-velocity tree-like graph Avdonin and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:16.883120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:09.588272Z digest=sha256:df162456c7215cd365624fa8c2935e5ad38385d1b0181790530abcb3c822dc00

Observation 59beef52-6e4a-427d-83d4-baa0de5c315d · outbound

This paper cites Avdonin and J.

On the inverse problem of the two-velocity tree-like graph Avdonin and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:16.696660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:09.668959Z digest=sha256:c605d7d0705568fcb67c3ea1f13f04df132c258453e58b16b32e65cdd095ec16

Observation b7e30d23-b4e9-4358-b2f3-e0a500b6f8b7 · outbound

This paper cites Avdonin and S.A.

On the inverse problem of the two-velocity tree-like graph Avdonin and S.A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:16.587850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:09.781476Z digest=sha256:e16426cb7a0d27049fb0b0b25ac7d6f3922568ce7397462eae8ef3f2ff0c25e5

Observation 2dd3d32c-186e-4801-94fe-2995b076d769 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:16.472214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:09.909275Z digest=sha256:ecaf9c722f8592820d266c4c090e7a118df2599a46453683c4f7d894c7cd91aa

Observation c3dfbd34-3cfd-418f-ab7e-a42d2b9b96d9 · outbound

This paper cites Avdonin, S.

On the inverse problem of the two-velocity tree-like graph Avdonin, S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:16.332758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.035709Z digest=sha256:b3b4bba0e322c0dc81132300826c70cbbe6c80d1ddf697bb992a3531a434d6c1

Observation 38690265-566a-47e1-a90d-0be39d970219 · outbound

This paper cites Avdonin, G.

On the inverse problem of the two-velocity tree-like graph Avdonin, G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:16.136107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.129905Z digest=sha256:b5548ca4737eb936346b003c16f36ec1e54b64aff09de01bd40da1f37bcc1f33

Observation f1b8a216-8265-4e4c-91fa-48a4eb739e67 · outbound

This paper cites Avdonin and V.

On the inverse problem of the two-velocity tree-like graph Avdonin and V

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:16.005770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.219518Z digest=sha256:4e9d9d9708a0191d34cc92d4444f705832b9073134bbdce581ea12de9d89c851

Observation e4c41c96-a01e-41f5-934b-528ddb2012b7 · outbound

This paper cites Avdonin and V.

On the inverse problem of the two-velocity tree-like graph Avdonin and V

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:15.878101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.282825Z digest=sha256:6f9214dabe456b2b35699d4ff844fcfc53af1e985fca2a76eda0019d31b85150

Observation dc03bec7-fad6-4b36-a420-83619b4fea52 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:15.758306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.363761Z digest=sha256:fb1ba0f5774792cebe0947ac859d252f688c5964cb0bb4053bbecc441dbba859

Observation 092c12cd-7578-4a94-a49a-cbab870875c1 · outbound

This paper cites Petersburg Math.

On the inverse problem of the two-velocity tree-like graph Petersburg Math

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:15.612845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.459565Z digest=sha256:5475ec5ce9a68268b0e88772f772f023e423b52602d8c95fc918d1daf1a3d78c

Observation a31e4a92-5086-443b-8374-2afec6221d2c · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:15.444404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.562337Z digest=sha256:a3c4155d27d1e4f460425bdd2440b0552cc1df96aee40f0af12f3e1c055073c1

Observation 54c44e95-d38c-41ea-836e-c6de9950648c · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:15.268774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.653133Z digest=sha256:d771c430e12008b31ffc2ce5fffaf1f187619e7c7ae240fff36b67e22f75d2c0

Observation 40a1e380-85f5-40ee-b091-7546aa191343 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:15.137138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.745007Z digest=sha256:faf5bfe0bb39862d4f4399575be456f7f028b4fa69c843b26f40a4a111b927dd

Observation f2835f12-f075-43c2-9882-dea44d8c6830 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:14.982109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.843535Z digest=sha256:e607eb589e6e32c8d5f34cccc36cf898b9c306552e2d63636156e461ee69d44e

Observation c24ba5c0-1dd8-4e63-8290-c82ee54a2366 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:14.815525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:10.974743Z digest=sha256:77b6bb64e648af140d4ece453d6376d337b8291779ae5b111004232538aa444d

Observation fa1b6cbe-1700-44e0-a88a-03286f1b17f9 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:14.670671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.077035Z digest=sha256:f2fa30be91e59938c3d8e7bb46d0b89f5ed2d5ae737d62a64b388302100ede82

Observation 6ee74596-c36e-419f-86a7-d6a425e39979 · outbound

This paper cites D´ ager and E.

On the inverse problem of the two-velocity tree-like graph D´ ager and E

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:14.548480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.187638Z digest=sha256:dfdf0164e150b5624290e0b1badb7a44153e9ef04946000e077676b4bd7928c3

Observation e99a9f7e-cb60-4eae-ba2c-dd94daf28be9 · outbound

This paper cites Freiling and V.

On the inverse problem of the two-velocity tree-like graph Freiling and V

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:14.358093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.278260Z digest=sha256:5ed21d5fee485f14610d8eb3e09b094b68fb2d195f2d97f23df676400634c880

Observation e64c1b88-6e7f-4f9f-b239-b613d81b2b42 · outbound

This paper cites Kachalov, Y.

On the inverse problem of the two-velocity tree-like graph Kachalov, Y

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:14.193163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.356904Z digest=sha256:e43cdfa4edfa84432f2e89f91e70f73eadd6bad605a3a7f2b7dcccaf3600d090

Observation cbba49aa-8dfa-4610-8d68-53091a8d7dee · outbound

This paper cites Kostrykin and R.

On the inverse problem of the two-velocity tree-like graph Kostrykin and R

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:14.066147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.439942Z digest=sha256:912204ad4645755db244ce5ac9a98724df3df555791bd490df24451b9995aa36

Observation b083d1b5-0d1a-45e0-a1a3-718461e45c46 · outbound

This paper cites Kuchment, Quantum graphs: an introduction and a brief survey, in: Analysis on Graphs and its Applications, P.

On the inverse problem of the two-velocity tree-like graph Kuchment, Quantum graphs: an introduction and a brief survey, in: Analysis on Graphs and its Applications, P

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:13.901989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.515690Z digest=sha256:cd05585adbd96292ff5a25ff4e73a732d4e36615546a03eae7cd1827083d5b1a

Observation ff41d3b0-c65f-4c06-9ceb-eb1871159731 · outbound

This paper cites Kurasov and F.

On the inverse problem of the two-velocity tree-like graph Kurasov and F

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:13.745217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.613765Z digest=sha256:ac8577f64b5fe2dade669529810811ed74a2d60473b0948526e4d55916b9b4f4

Observation 46d54e7c-ca38-49de-8c28-bf7c8bfb00e3 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:13.624015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.740179Z digest=sha256:2ce9c800f00cb40841627b6f68b8a197b6982253e1e55d024e75c749329d2668

Observation e6894a8a-7c6a-4e73-a07a-5576ef2f3e88 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:13.530301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.823977Z digest=sha256:aed3aefdea4191054716648a456c1f7724ed3920b65aff83dbbfa8f9552a4af2

Observation 545019ac-828b-4867-a9ac-19e2b64518d5 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:13.328592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:11.898308Z digest=sha256:e0602f5d954e56bab81b7890b431729ecc1c8834ddf62103fbee257610f960fb

Observation 285421cf-9994-4449-901e-1241ab1eb489 · outbound

This paper cites an unresolved cited work.

On the inverse problem of the two-velocity tree-like graph Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:13.187657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:12.000988Z digest=sha256:16bc5fb233f494e6f9b00bc8ce732873385f11432834a6f83b9c0f3f63d260b6

Observation 3d82e65a-891f-4547-a7cb-a2bd3d601c58 · outbound

This paper cites Leugering, and E.

On the inverse problem of the two-velocity tree-like graph Leugering, and E

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:13.016941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:12.076486Z digest=sha256:a84e649391dca6ca342d48826ef9beaa5dfafa639f9d3dc70c4872767ef77646

Observation 8e0fa834-37f1-4806-bf1d-32436bcf5938 · outbound

This paper cites Leugering and J.

On the inverse problem of the two-velocity tree-like graph Leugering and J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:12.860318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:12.162091Z digest=sha256:f837f1f58bef957564c5837467238fe9759c2d5cd4ab508c38131e89556ddff1

Observation b9347b02-6ddf-4073-892d-8dddb6f857cf · outbound

This paper cites Leugering and E.

On the inverse problem of the two-velocity tree-like graph Leugering and E

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:12.718594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:12.234262Z digest=sha256:ae64504552974cddb3daa99a91691af9fe661136e1ed871b6ee41f53f8dc9f87

Observation f47f91f9-9406-4327-9514-d057cb311a61 · outbound

This paper cites Yurko, Inverse Sturm-Liouville operator on graphs, Inverse Problems21, 1075– 1086 (2005).

On the inverse problem of the two-velocity tree-like graph Yurko, Inverse Sturm-Liouville operator on graphs, Inverse Problems21, 1075– 1086 (2005)

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:12.471709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:12.328301Z digest=sha256:3ee4395c4a47a5d745e9b5337194d7cb5d51929fafafff63824f3c14ddd16a92

Pith citing papers

No inbound Pith citation observations are available.