Pith. sign in

Paper Citation Record · LEDGER

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices

As of 12 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2608.05338.

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

pith.paper-citation-record.v1
2608.05338 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:08:34.218283Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

48 of 48 outbound references displayed

  • verified exact1
  • verified fuzzy38
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bd3bab46-77d6-4f26-9e94-cafa39f668d3 · outbound

This paper cites an unresolved cited work.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-08T15:08:36.709667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.186229Z digest=sha256:facc0522da0eb78e976e47731268ba01848fad9a3a76c54592fb908662168c47

Observation 13b6720e-d2b3-4ec7-b563-ce3106e38f3e · outbound

This paper cites an unresolved cited work.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-08T15:08:36.694583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.192320Z digest=sha256:8bd9e734055bade4b7f691c708c44996701efeb158c7414059f4886d31d89930

Observation d268ba86-44e3-4ac0-931f-5b2a0cd8d59e · outbound

This paper cites an unresolved cited work.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-08T15:08:36.629743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.197666Z digest=sha256:1b3bfcfe42e6de443433ff66fa15eef7882edcb029272a38011f0a337067de8c

Observation 0a57528c-2d4e-45c1-9d16-f9d27a6917b2 · outbound

This paper cites outgoing.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices outgoing

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.562257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.204045Z digest=sha256:dbbcf17abcedcb3ffb05ca5e0320320e55597ca6daa80c01f06384a76161d8c8

Observation 420b5a87-3e11-4b08-b284-920d4c1064a9 · outbound

This paper cites an unresolved cited work.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-08T15:08:36.546474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.209237Z digest=sha256:1e5018dd707d046cb18bab25b7308a23d7e7224d8d7824b8fbd5a76b974222b7

Observation 63120a9c-e977-42fe-8ca0-3f499899bf45 · outbound

This paper cites interior.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices interior

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.530717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.251520Z digest=sha256:c8423e5b6797b7c02a11ec3b4acbc5364d6f52f59f67c57f8cba9d8bf9800607

Observation b8b98141-1bcf-41a4-bb53-fdb7a919d863 · outbound

This paper cites Engquist, A.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Engquist, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.515145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.300930Z digest=sha256:45bad525e0bc1a38f1998b8905e8f6c4235f2c92c18a69d1597f968e8eb4322a

Observation 4547b357-7fee-4381-9052-42592a1973ce · outbound

This paper cites Engquist, A.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Engquist, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.444713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.306519Z digest=sha256:08a528440cb8baa32c3edf6e94cb9b1bc4c782016c843c498358b9fa7b244c17

Observation 89388518-f1f2-4b7c-a678-2fcd244d6f31 · outbound

This paper cites Halpern, Artificial boundary conditions for incompletely parabolic perturbations of hyperbolic systems, SIAM J.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Halpern, Artificial boundary conditions for incompletely parabolic perturbations of hyperbolic systems, SIAM J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.379698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.313477Z digest=sha256:e9312da571cdffbbca3ca4daef1334a2d49b188e8a25a737a8a53bba88bb4490

Observation cd0844e0-cc64-4292-95f2-2447ec48d531 · outbound

This paper cites Sofronov, Conditions for complete transparency on the sphere for the three–dimensional wave equation, Russ.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Sofronov, Conditions for complete transparency on the sphere for the three–dimensional wave equation, Russ

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.361458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.318903Z digest=sha256:6a9b36046aa930497e48f6339ff4f7c13579e918c8f3fd4968d94de78b0e4198

Observation 4d54ab3b-d812-48d8-908b-de5af67c70a1 · outbound

This paper cites Schmidt, D.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Schmidt, D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.298779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.323914Z digest=sha256:6f7db05dddac46f1ff050d4b8bbb388ba665e3571471246ba76cf58a1ac91c72

Observation 480d1e99-7905-4832-8275-7a66e31b3e29 · outbound

This paper cites Arnold, Numerically absorbing boundary conditions for quantum evolution equations, VLSI Design6(1-4), 313 (1998).

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Arnold, Numerically absorbing boundary conditions for quantum evolution equations, VLSI Design6(1-4), 313 (1998)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.254867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.336494Z digest=sha256:de70bd77d221a5264d226dda75bd387cec001c02302bf0aa29a94da2a1c1db1d

Observation ea7f709c-78c7-49b0-8516-caec8225dd6f · outbound

This paper cites Ehrhardt, Discrete transparent boundary conditions for general Schr¨ odinger-type equations, VLSI Design9(4), 325 (1999).

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Ehrhardt, Discrete transparent boundary conditions for general Schr¨ odinger-type equations, VLSI Design9(4), 325 (1999)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.238818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.413535Z digest=sha256:c51ee5292305aaa012354e59e8485092ee47b1280605c37d0ff06e0f174e487e

Observation bf4ceb42-f21c-45fd-9f09-9eae24bb1826 · outbound

This paper cites Ehrhardt, A.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Ehrhardt, A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:36.120604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.434216Z digest=sha256:ae173728669c2e22888a42004c7e3066564e284104b6cdc9c7adc7af8ee6290c

Observation 88ff99f2-601c-49f2-ba72-9af290ecc011 · outbound

This paper cites Arnold, M.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Arnold, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.944008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.439372Z digest=sha256:d14183530dba0ee8ec2ec456ab95aef0457b5c2d46765fe31cd4bd2d88e14c0c

Observation a7ab8b04-3577-45ab-8d3d-cc43443b98d7 · outbound

This paper cites Antoine, A.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Antoine, A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.928111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.445443Z digest=sha256:9523a396e4e70c29ba91858a0e48402a79ef8732c2780cb1035b93e2204e4ea7

Observation ea458b5a-7141-4500-aa04-559fd6bd3a33 · outbound

This paper cites Antoine, Ch.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Antoine, Ch

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.913415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.451755Z digest=sha256:a1ccb548e9ccdc947630ac25a507ecca19da6c964253cf27d45f6accc093223b

Observation a2e265bb-3120-4dda-842f-a4dc276eb602 · outbound

This paper cites Antoine, C.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Antoine, C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.854757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.456973Z digest=sha256:5a49eebbd7da5b567e429d9774a22e2a9b99b5afd991ea7088389a8a525bb910

Observation fe51320d-6b75-465c-a4e7-4a95b449504a · outbound

This paper cites Antoine, C.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Antoine, C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.791356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.462606Z digest=sha256:e52d3d409ae9689381d33b39d6184f33161b730934058303c38ddfc577dd1739

Observation 1f7119bd-6ee5-4d06-87c2-86b1a4cc2b7d · outbound

This paper cites Ehrhardt, C.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Ehrhardt, C

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.776695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.490165Z digest=sha256:e299170950fff7a5a544dad32ff0a78e6d7d6a658100ceb1a9a8a63d8941a6de

Observation d921686f-f325-469c-86e5-1230a844fae6 · outbound

This paper cites Klein, X.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Klein, X

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.762574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.554894Z digest=sha256:175dfff4d36cec1e36ccf8ea60d909f6f5cd8ab48666bd46ae00343571512415

Observation 28dcc7b9-0c60-4dd3-8fbb-4e0cb8cae0a8 · outbound

This paper cites Klein, X.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Klein, X

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.681604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.575673Z digest=sha256:9008e90e4ac5d15c5f04bb34a1679824086532e3d22b6ddea4bf0c5df2bd647d

Observation 2f074d6a-b7ec-44de-a6a0-1a22232018e1 · outbound

This paper cites an unresolved cited work.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-08T15:08:35.614034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.582369Z digest=sha256:40a4a338d87a58333445db2239b32c8293306459ba75e141df529a4aaaf3d494

Observation 59a97931-627c-47ca-86ff-e8fa1423fed2 · outbound

This paper cites Shibata, Absorbing boundary conditions for the finite-difference time-domain calculation of the one-dimensional Schr¨ odinger equation, Phys.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Shibata, Absorbing boundary conditions for the finite-difference time-domain calculation of the one-dimensional Schr¨ odinger equation, Phys

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.562071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.586956Z digest=sha256:3de31a5ceac778b06cf6eb1b92d6c0f4a66f33df6fe49bfc80dba3a0335b4aa1

Observation b68be773-00ae-4322-89fb-67ba3008f75c · outbound

This paper cites Kuska, Absorbing boundary conditions for the Schr¨ odinger equation on finite intervals, Phys.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Kuska, Absorbing boundary conditions for the Schr¨ odinger equation on finite intervals, Phys

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.486343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.594857Z digest=sha256:34439d5f6f1d42a825cfdedd78f25a4fe8d69fb5844f1ee7206837085808967e

Observation f01a683c-4e69-48ec-b833-6b408689c27c · outbound

This paper cites Yusupov, K.K.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Yusupov, K.K

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.469930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.600491Z digest=sha256:b84440c0c3ea0b92732de73607274e6f671957027ebf2418c49235dbe824eb41

Observation a148ace5-8d24-4c23-a729-ab8794634130 · outbound

This paper cites Yusupov, K.K.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Yusupov, K.K

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.394753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.605426Z digest=sha256:3858559a65b523d6f5b5b905c7178edd4e3cbb40afde6e6a15505daedbf34537

Observation 20f9378f-86ff-4ba2-bbb5-e4241954270b · outbound

This paper cites Aripov, K.K.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Aripov, K.K

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.311788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.612139Z digest=sha256:310d251d96bdefc304e42b3d676f76dcff475cfbb5106ae76886e5fb740fd16e

Observation c162cf63-fc7d-4bcc-b5ce-0afd9dee3ca1 · outbound

This paper cites Yusupov, K.K.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Yusupov, K.K

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.295375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.617641Z digest=sha256:53d740168104f47ce6d90143826cec12f6d8ab228611f7af67875bccc0547118

Observation ba49f4a0-f766-4877-8170-03c3f70cfa24 · outbound

This paper cites Sabirov, J.R.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Sabirov, J.R

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.273424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.655708Z digest=sha256:2bfdaa2c48f632dcd86db23c3027d5d6337358e4a54193ccb8f68037e928056c

Observation 03e6ad32-135d-49d6-ad73-9e48b84fed60 · outbound

This paper cites Sabirov, J.R.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Sabirov, J.R

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.167625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.734624Z digest=sha256:c0f1c11e200685c73197a2ea6cc03ebcb55818dbb08ca76d1e574f6b6544a5f7

Observation 4b8f3f88-d7cd-422a-bd4c-035a034548df · outbound

This paper cites Yusupov, K.S.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Yusupov, K.S

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.069980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.799508Z digest=sha256:3d6a1ca133032b2b0477fc2baf5795cd5752807112162ffa59ba0db0921ed07c

Observation 5bdc04c4-a028-4bbe-9cb1-4bb76447b3c7 · outbound

This paper cites Akramov, J.R.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Akramov, J.R

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.054494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.823526Z digest=sha256:c2efdffbb6cd1d99d076f32926885804e1b7c3adfe9b0f922f93ec3d912344ab

Observation 847f398b-f304-4683-93d9-06dfeffe6a44 · outbound

This paper cites Akramov, J.R.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Akramov, J.R

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:35.038019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.828578Z digest=sha256:9e6b1dc2141dac9dcdced2053a1ba58366f81ededb3a0f511a04ae88907ff702

Observation 699670d8-89ed-4d86-a105-c7fa1425d69e · outbound

This paper cites Yusupov, M.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Yusupov, M

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:34.868413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.832993Z digest=sha256:04a47ba019bc437d0e9bb1b3583e6875864ea2206739a73ef7837e24f4717bbb

Observation d3f9dff9-6f19-42ab-b150-7b09ef030e74 · outbound

This paper cites Derkach, C.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Derkach, C

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:34.801634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.837768Z digest=sha256:213a09c2bf12fe81e3fbe432b926cbdd8bb4532f7debfb3478401a1c91acc286

Observation 7367fd5d-210b-458e-8045-bcbaf3bf6e5a · outbound

This paper cites Akramov, C.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Akramov, C

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:34.786800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.842283Z digest=sha256:1f699bca63f619fc5290b3e05e074a9c312f56446babd458cb4be6b3dbb63efa

Observation 36a83ccb-08d2-49a1-85e3-ed228da423c9 · outbound

This paper cites Alonso-Mallo, N.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Alonso-Mallo, N

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:34.719228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.847594Z digest=sha256:6eb7c7c65044e6ba8a85ba6826fe7ab69605a5aba1c300d794843c815fd9daa4

Observation 15867a58-76dd-4214-b01d-268482cbf2f8 · outbound

This paper cites Lubich, A.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Lubich, A

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:34.675370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.852656Z digest=sha256:cffd60195df343179af008f4cb756643f2cf61d680c0c1b887776955248bc42b

Observation 0ae01094-a783-4879-90c2-4da41dc3da84 · outbound

This paper cites an unresolved cited work.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-08T15:08:34.660595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.858023Z digest=sha256:c516609eff5c7be3d1e6ec239797e203cdb564ab978c151bc40f4b8025e74215

Observation ff7eb4dd-77b9-4354-bbcc-c8533a509a8a · outbound

This paper cites an unresolved cited work.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-08T15:08:34.610860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.863627Z digest=sha256:dc4896b0635e370061bca3d6f7c35495143760c1e78fda9f26bb0fd9a6cce670

Observation 93f17221-6e57-4519-88b6-c8d3985e8283 · outbound

This paper cites an unresolved cited work.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-08T15:08:34.570510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.868057Z digest=sha256:f6a28dfb2604c15bc06ada3458884b5b202c59a2f78e121869ed60de8953405d

Observation 96bdf4bf-ce7f-4384-b5de-ff9a0c4ade31 · outbound

This paper cites an unresolved cited work.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-08T15:08:34.553246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.894810Z digest=sha256:5d004ade7dea8b2201daca39699120d724bb75296e66157b276150e7aee49355

Observation 41b10933-f82d-4e08-ab70-14f296e9ed68 · outbound

This paper cites Yusupov, Kh.Sh.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Yusupov, Kh.Sh

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:34.524949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:33.963959Z digest=sha256:912d73d763bace16250054cfcd0b06ee49f88f00da7ea70c4e373a2c1cdd6379

Observation 85bff49f-83c7-4f0d-8058-12188a6d53a9 · outbound

This paper cites Hegger, R.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Hegger, R

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:34.448509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:34.052237Z digest=sha256:ac3fddc892b9b2da29cb91f54c73d8bd6a29db93601e0d20322a0a009c6fde04

Observation 65687e64-83fd-42ac-b85e-fc4569002252 · outbound

This paper cites Abramowitz, A.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Abramowitz, A

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:34.417411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:34.144414Z digest=sha256:41b6ba8e7853f201fdbe77295ac71dd2fb2739f5a014d1fb4b66079526a7955b

Observation 632dc5b0-defc-4330-a87e-235674ce867d · outbound

This paper cites Podlubny, Fractional Differential Equations, New York: Academic Press, 1999.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Podlubny, Fractional Differential Equations, New York: Academic Press, 1999

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T15:08:34.401401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:34.213473Z digest=sha256:4b9e03880db3fcdf20971556fb4edcdec6aa92301498eda843f841a064223370

Observation d1679fda-881e-42ea-91b1-e12debc70d62 · outbound

This paper cites Fractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications.

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices Fractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-08T15:08:34.342337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T15:08:34.218283Z digest=sha256:ccd5f8dbf9ca1ba06569bc586050f7a26690d5e7e5b4e39222990ce3e5402d1e

Pith citing papers

No inbound Pith citation observations are available.