Paper Citation Record · LEDGER

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice

As of 22 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2411.14397.

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

pith.paper-citation-record.v1
2411.14397 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:23:34.888235Z

measured 44 of 44 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:08:50.891481Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T18:08:52.183652Z

Reference resolution

43 of 43 outbound references displayed

verified exact0
verified fuzzy34
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 29f396a0-5956-44ef-a918-4c3279a79a86 · outbound

This paper cites Pauling, J.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Pauling, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:37.197553Z

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 0c45d7d8-d78d-4c34-9dfb-f2d562e35c50 · outbound

This paper cites Ruedenberg, C.W.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Ruedenberg, C.W

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:37.130211Z

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 da1500d6-c7a4-4e2e-9283-87c3a0db47f3 · outbound

This paper cites Alexander, Phys.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Alexander, Phys

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:37.039334Z

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 69e0c1aa-f3b3-4230-9c1b-6be031d3c2f5 · outbound

This paper cites Exner, P.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Exner, P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.968702Z

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 9d24a5ee-6e46-4cb1-b742-5f93b95aa088 · outbound

This paper cites Kostrykin, R.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Kostrykin, R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.826478Z

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 c7327676-b2dc-4432-87f8-e656014f04a6 · outbound

This paper cites Kottos, U.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Kottos, U

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.810698Z

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 58ea78b7-606a-4db9-af48-a375a6a369b7 · outbound

This paper cites Exner, H.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Exner, H

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.795163Z

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 a5c542bf-c190-495b-afe9-712223765f5f · outbound

This paper cites Hul et al , Phys.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Hul et al , Phys

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.754046Z

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 5db2fe47-f090-4a39-a1ad-58c0f5eb2267 · outbound

This paper cites Matrasulov, J.R.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Matrasulov, J.R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.599069Z

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 53a8178b-3621-4013-816c-9377793e436c · outbound

This paper cites Berkolaiko, P.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Berkolaiko, P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.582200Z

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 f477e707-be6c-4d26-b4b4-09c9dfff7e90 · outbound

This paper cites Kurasov, Spectral Geometry of Graphs , Springer- Verlag, Berlin (2024).

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Kurasov, Spectral Geometry of Graphs , Springer- Verlag, Berlin (2024)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.567227Z

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 2056ba9e-bbbe-458a-95fd-f2b630546d8f · outbound

This paper cites Yusupov, K.K.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Yusupov, K.K

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.552048Z

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 725f5dd1-700a-4508-a2b3-ef6bf65b1613 · outbound

This paper cites Matrasulov, K.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Matrasulov, K

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.365246Z

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 319f2e60-6631-4112-a70d-bd3dd58f186e · outbound

This paper cites Sabirov, J.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Sabirov, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.349064Z

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 83c2ba7d-64bb-4929-a2bc-90a807d41e04 · outbound

This paper cites Dreisow, M.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Dreisow, M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.335056Z

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 195e5d1f-6c7d-4ef4-90b1-57e0ea20c7f9 · outbound

This paper cites Exner, O.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Exner, O

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.320210Z

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 d11fc0f6-3486-4d97-aa34-c69ef9c256c4 · outbound

This paper cites an unresolved cited work.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:23:36.216855Z

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 1cf41022-dcd1-453d-b342-347b15b8d1d1 · outbound

This paper cites an unresolved cited work.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:23:36.030558Z

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 f5c9e67a-8f16-420b-8dd6-6add91386f68 · outbound

This paper cites an unresolved cited work.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:23:36.014942Z

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 dc989b6c-2fbc-4c94-9d35-85265081e639 · outbound

This paper cites Exner, J.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Exner, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:36.000282Z

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 11f7943a-777e-4d81-a025-30ff30381945 · outbound

This paper cites Rezapour, C.T.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Rezapour, C.T

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.984479Z

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 50119a64-40d9-4e73-8910-85e4d8a22d68 · outbound

This paper cites Baleanu, S.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Baleanu, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.966521Z

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 dbf974ee-948b-4813-ba67-104a50a6c3fa · outbound

This paper cites Etemad, S.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Etemad, S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.838801Z

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 8cc9a272-ab17-4ebf-b502-b8569559bf99 · outbound

This paper cites Baleanu, S.M.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Baleanu, S.M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.676895Z

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 2612c8c4-f916-4b4f-9765-842fed50d6aa · outbound

This paper cites an unresolved cited work.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:23:35.622664Z

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 0f0fb4a9-700d-4016-b4fb-e982aa9a27c3 · outbound

This paper cites Hussain, E.N.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Hussain, E.N

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.607681Z

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 abdaffa2-3cfb-4b72-9949-fe9eb202f17b · outbound

This paper cites Ahmad, A.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Ahmad, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.592445Z

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 beffa8cf-3db3-422d-ae3b-9f9df1f233a8 · outbound

This paper cites an unresolved cited work.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:23:35.574422Z

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 d91d6f73-c86e-4b86-aad9-22767bcdb6bc · outbound

This paper cites Aydogan, D.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Aydogan, D

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.559709Z

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 0e11afbc-a1f8-4676-9c7b-36f22e2c0f9d · outbound

This paper cites A Kvitsinsky, J.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice A Kvitsinsky, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.544670Z

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 c9571100-259f-43f1-bbb4-120cc241bf3c · outbound

This paper cites E.Tarasov, Phys.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice E.Tarasov, Phys

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.429416Z

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 912ddecd-0f89-485f-b1f7-7a0a0424bb46 · outbound

This paper cites an unresolved cited work.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:23:35.289126Z

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 7c002f1b-544d-4ea0-9afe-ed9d839933e5 · outbound

This paper cites an unresolved cited work.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:23:35.274204Z

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 e2affcf2-a1a2-4103-88b6-66e5f8d4181b · outbound

This paper cites Yusupov, Kh.Sh.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Yusupov, Kh.Sh

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.259162Z

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 99932b0d-d149-414e-9697-94d6898892b0 · outbound

This paper cites Akramov, J.R.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Akramov, J.R

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.244494Z

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 1b762ebf-11fb-4d51-b489-f8a56dee8cb3 · outbound

This paper cites Heeger, R.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Heeger, R

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.229379Z

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 2812db70-d23b-46bb-aa4d-0e0ac8e62f1e · outbound

This paper cites Heeger, Rev.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Heeger, Rev

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.212546Z

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 b39aa0e2-92ee-4641-93e8-7254215db216 · outbound

This paper cites Heeger, S.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Heeger, S

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.083191Z

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 ce57e69d-0403-4421-b977-97f790dc4bb3 · outbound

This paper cites Soganci, O.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Soganci, O

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.028425Z

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 4f798f79-da4e-4052-bc93-cbf71f88963d · outbound

This paper cites Sabirov, J.R.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Sabirov, J.R

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:35.011657Z

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 a65f18e4-a449-466f-a3d7-f70bb41ed676 · outbound

This paper cites Huang, X.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Huang, X

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:23:34.994126Z

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 8d41e178-d5e8-40fd-89da-5df800562943 · outbound

This paper cites an unresolved cited work.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:23:34.977661Z

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 1cb392b1-acaa-4302-8efb-8fab3a24663e · outbound

This paper cites an unresolved cited work.

Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:23:34.959864Z

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

Observation e4a92f5b-2566-4ca6-bcde-8e2d1b557d47 · inbound

Kalb-Ramond Black Holes Sourced by ModMax Electrodynamics: Some Perturbative Properties in the Phantom Sector cites this paper.

Kalb-Ramond Black Holes Sourced by ModMax Electrodynamics: Some Perturbative Properties in the Phantom Sector Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice

Reference 56

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:08:52.188807Z

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.