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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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:09.288256Z digest=sha256:bfc995194eb44df2db05d520807b003ce8167ab9aee279c9f28af6aaaa7fb19e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:09.382681Z digest=sha256:694157a6a19b404340c9c2fd1458d5f02a0b2b984e93a89c241f1b9ba476bd12

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:09.505115Z digest=sha256:2b701a18cbcd2d3c340e6e2121eacd6075b1edd815d6ab7424d0f76d1d892abd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:09.588272Z digest=sha256:8067647f326898fc73881ac8b30839834d019418cc5c9a3bf0a9a294b0285a8f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:09.668959Z digest=sha256:7823acae13fa0d69fca3a65d2ab225c78955d839903a576cd1b4574b03354e1f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:09.781476Z digest=sha256:f13a5964d497b7ca993b9761eee2aaa7828a8537aea3ab89cc164308163a19f1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:09.909275Z digest=sha256:be49790ca99b3a0583d1af6f472a793694747e51881bc23a96899ec7809f0e9e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.035709Z digest=sha256:8c053412498bdec1d2699ae7bd679f89f77d9ba81cda0e2d02c678eee244a3da

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.129905Z digest=sha256:e49957052973d5f02b4312219fadbeea1d59fb668a576d0f27d4307ede809ac0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.219518Z digest=sha256:401d9a4155533d5238514de7c90effbee6171ff3e40f4f6938d699f718bcac2c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.282825Z digest=sha256:801dd0745cce6a351c5365ba2b4856f4af5b7e3e275f2a25941d17befe7180da

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.363761Z digest=sha256:2af998b807d1d1e6f182189a235d49a0383612e3d2743945f632ff126b4abc72

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.459565Z digest=sha256:0d962719ad445fc1ca476d4e64f943350c0688671d73db5b3bd461b8604a77be

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.562337Z digest=sha256:d7ed0baa390c2e73f8ba9f63eb6f34fc3aee16ca61e031a0c625dd06561b4832

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.653133Z digest=sha256:9b3803a8d44315132a6457e07329bb679ffd166b5edf448261bef936ba20c580

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.745007Z digest=sha256:cd58734553a465ea03a6de72c1693534770f50b53e508a2c2b28f3f6b24708c3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.843535Z digest=sha256:8e7f3b56a2ea5e4a7950e97ed650751e8087abe876a4d6f984ace7423085976d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:10.974743Z digest=sha256:2caa6284451c308aff2e1d1b99087b53b351db9b0f0ab1a6ce047e0545d4534a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.077035Z digest=sha256:4fd02b9e256046b75da6ee2422c92f198449cf9bd332b603278795ac5af770f1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.187638Z digest=sha256:110bc470cbb2c2ba1f4b2197100987c037cfc1c4f6ad5dcf4c461fc23ed3ba38

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.278260Z digest=sha256:d204c3b0aa405a841234113ee312cbe0a19873f0cd91fe307e366532c09ec72f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.356904Z digest=sha256:24216dfb67d86dea4b9e5737e9ee8448ad2f25035ae40707ffede95d694f36c8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.439942Z digest=sha256:2deb44d2322ac4538c627f017536ad7a65f36033205d3c72d074e3d81b85948c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.515690Z digest=sha256:6f58d27e585176d5660a73bc1d5163b060635fd67e84dd3c3c6bccba9e51be30

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.613765Z digest=sha256:b4abf8fa6ca811b3dd71833c8451c0fdd944e09ed2ba205390f1b809356a74ea

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.740179Z digest=sha256:b009f182cfc6518ea7c9c88bb94451111f40f32ed20895a5d06d76584a93eb5b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.823977Z digest=sha256:3b3a2abeb7db2725eb019c09c1522431bb00cca0f593eb279a950826cf94f4c1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:11.898308Z digest=sha256:eee2697144638f86b766ec0fa00b3c012f26f42bedc05aee8f88aaf5f44e2455

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:12.000988Z digest=sha256:05089c90b023a7c55e2339716118e0e9186564090b6eb31aca7f8d8bce6b6246

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:12.076486Z digest=sha256:da83f1d364060c14efc20fac3ecaa42d57ce571feb14b883fb63ab960aed6b61

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:12.162091Z digest=sha256:34762d3ba0ec60b69b58f03c418d3bd91bcf5d03f2d0304daa92e113fb989a4b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:12.234262Z digest=sha256:ad5e1cea6a0df313b544ad724349e9b9a72da78fb0f59c371b25fd5ebb3cbd14

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:28:12.328301Z digest=sha256:75e1142c9cbc4e8a23b5ebb55ff4c5b90507a9cc04af7f196ff40098de7e84e5

Pith citing papers

No inbound Pith citation observations are available.