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Paper Citation Record · LEDGER

Comfortability of quantum walks on embedded graphs on surfaces

As of 14 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2501.06765.

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

pith.paper-citation-record.v1
2501.06765 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:03:50.173518Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T01:25:40.012201Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58553248-9c9c-4baf-87ba-9c09d299a83d · outbound

This paper cites and Watrous, J., One-dimensional quantum walks, Proc.

Comfortability of quantum walks on embedded graphs on surfaces and Watrous, J., One-dimensional quantum walks, Proc

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.874270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.562533Z digest=sha256:f4feaeb90c7f3edcb3f4662f72f56f835a2a825f03f0635204399325017b5081

Observation 30a1fe6f-09a9-4128-b308-106c46855330 · outbound

This paper cites and Sarlette, A., Quantum fast-forwarding; Markov chains and graph property testing, Quantum Information and Computation 19 (2019) 181–213.

Comfortability of quantum walks on embedded graphs on surfaces and Sarlette, A., Quantum fast-forwarding; Markov chains and graph property testing, Quantum Information and Computation 19 (2019) 181–213

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.847686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.614752Z digest=sha256:9e169e9f6e2da415e3b0ef255044d6c0b8c50e343613291681e2fc2277e333df

Observation ea6fe20e-c0fe-4430-bc27-d4889be17c14 · outbound

This paper cites and Kokainis, M., Quadratic speedup for finding marked vertices by quantum walks, Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing 19 (2020) 412–424.

Comfortability of quantum walks on embedded graphs on surfaces and Kokainis, M., Quadratic speedup for finding marked vertices by quantum walks, Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing 19 (2020) 412–424

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.824561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.638763Z digest=sha256:bdb822f836250c5a8eab3fdefb2f3236cabaf4384e5fdc2c729397f254197443

Observation cd850c2a-5498-4888-8e8f-22561536dd13 · outbound

This paper cites an unresolved cited work.

Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:03:50.794726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.671954Z digest=sha256:b113a4c23dd2624a502b35fb4793fcb4cb9f37b224e6302f3a3941283f2a91da

Observation e3d75d1d-a2fb-4435-a1e7-f648bb46aace · outbound

This paper cites an unresolved cited work.

Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:03:50.767788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.714754Z digest=sha256:ac6fe93a6c99e538d794eef9fc7059a82bd1299f56e58acc3f74337d907de269

Observation 4ae428d6-511f-4d18-846f-20f91665fdd8 · outbound

This paper cites an unresolved cited work.

Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:03:50.750302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.756130Z digest=sha256:4858ce933f81a189dd3fd513d527da22f88cf3ae6a9a73439824d09e6154399f

Observation 8873b3b4-1bf3-4c69-baea-ff02dfa1300f · outbound

This paper cites an unresolved cited work.

Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:03:50.731037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.804775Z digest=sha256:6e8b3809c6754d89d9ff1a240519f153af6299365aee2a62a9b143ff59a38867

Observation 71627f4d-415c-45cb-a05e-1e392235a3e1 · outbound

This paper cites an unresolved cited work.

Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:03:50.711689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.844764Z digest=sha256:b048acb42b22e5b0c17ab9957526b07ccce9702742e5c0e9ffb89e4cb5d208e4

Observation f4f8f626-65aa-4f96-b927-f9bd9c1596ac · outbound

This paper cites Higuchi, N.

Comfortability of quantum walks on embedded graphs on surfaces Higuchi, N

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.691163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.897078Z digest=sha256:09fa2ca27c706f0723a58bf934e5e9e6158e0a28cc00c7744cd1011314f7e3d6

Observation 4ddf30c1-5860-445e-b690-c3e668bfef8e · outbound

This paper cites and Segawa, E., Dynamical system induced by quantum walks, Journal of Physics A: Mathematical and Theoretical 52 (2019) 39520.

Comfortability of quantum walks on embedded graphs on surfaces and Segawa, E., Dynamical system induced by quantum walks, Journal of Physics A: Mathematical and Theoretical 52 (2019) 39520

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.675853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.924637Z digest=sha256:dff5a896f450b3243149e462bb1f486d3bbcbaede548b6aed397da1ecb578955

Observation 67699c04-66bd-4886-a0ff-477ab373a0f7 · outbound

This paper cites and Segawa, E., Circuit equation of Grover walk, Annales Henri Poincar´ e25 (2024) 3739–3777.

Comfortability of quantum walks on embedded graphs on surfaces and Segawa, E., Circuit equation of Grover walk, Annales Henri Poincar´ e25 (2024) 3739–3777

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.661004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.964944Z digest=sha256:53415dbecbb95fc6010ee6bc1b40cb9ea038ec1612195f7036512e796323cacb

Observation 7f7e5525-2dfe-4201-a389-a57415260b5a · outbound

This paper cites Quantum walks on graphs embedded in orientable surfaces.

Comfortability of quantum walks on embedded graphs on surfaces Quantum walks on graphs embedded in orientable surfaces

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:03:50.241210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:49.987924Z digest=sha256:f690e238ccd4e5c6aafde12d9b10efbfcf81787f43b4a0e15a26983fe70b8188

Observation f9904cb4-bc7e-41d2-88c2-ece351724b12 · outbound

This paper cites and Shirai, T., Weak Bloch property for discrete magnetic Schr¨ odinger operators, Nagoya Mathematical Journal 161 (2001) 127–154.

Comfortability of quantum walks on embedded graphs on surfaces and Shirai, T., Weak Bloch property for discrete magnetic Schr¨ odinger operators, Nagoya Mathematical Journal 161 (2001) 127–154

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.643000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.002304Z digest=sha256:bf914b17d38e76d56b942b81fbbbf8c75af98683d7799b7e9bb8b2a595b28e38

Observation a5f01169-2710-4bd4-9256-839143b6753e · outbound

This paper cites an unresolved cited work.

Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:03:50.620545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.020641Z digest=sha256:1e9029ab6ef56cb314d9ee63c79051a20ed14cf9cf62f76b4a6979402943dfef

Observation f7c85ed2-25ba-4297-bc4b-8b2e6bf52504 · outbound

This paper cites and Segawa, E., Partition-based discrete-time quantum walks, Quantum Information Processing 17 (2018) 1–35.

Comfortability of quantum walks on embedded graphs on surfaces and Segawa, E., Partition-based discrete-time quantum walks, Quantum Information Processing 17 (2018) 1–35

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.599564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.035735Z digest=sha256:cbe03ddae76652d697ed7faec3414c830704be63be02c503591f84d1dcc72ea8

Observation f3c8c55f-a42d-4240-adc3-69c680c7ebc7 · outbound

This paper cites and Brun, T.

Comfortability of quantum walks on embedded graphs on surfaces and Brun, T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.574811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.052686Z digest=sha256:5625202d0dd3274a98f43c40f4990114ff863569d055fb06ae600ea730830a6a

Observation ae8923cd-47ae-4dfa-95c2-b263f1473b29 · outbound

This paper cites and Segawa E., Implementation of a discrete-time quantum walk with a circulant matrix on a graph by optical polarizing elements, Physical Review A 106 (2022) 022402.

Comfortability of quantum walks on embedded graphs on surfaces and Segawa E., Implementation of a discrete-time quantum walk with a circulant matrix on a graph by optical polarizing elements, Physical Review A 106 (2022) 022402

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.543228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.080068Z digest=sha256:adf79293e0478ddf2a7e8a0255c360c462cbcc6cc4c65278bbae39dc01659c98

Observation 9fe0ca77-0958-4a8c-89f2-0633ce026b4b · outbound

This paper cites and Thomassen, C., Graphs on Surfaces, Johns Hopkins University Press (2001).

Comfortability of quantum walks on embedded graphs on surfaces and Thomassen, C., Graphs on Surfaces, Johns Hopkins University Press (2001)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.512414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.086627Z digest=sha256:00a30287038cde00a67632c2b85aceeff32af5cc45cd22ba925d140f36d197f2

Observation 4b7522a1-8e5b-42ca-a871-a032d400568d · outbound

This paper cites Kyokumenjou no Gurahu Riron.

Comfortability of quantum walks on embedded graphs on surfaces Kyokumenjou no Gurahu Riron

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.478623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.097672Z digest=sha256:bbc03e0a2a5745fbef3e8830959b5922fc5a6d28c9c177db30509e3f2f66ab37

Observation 463de00b-1906-40b4-b174-eccece2c7445 · outbound

This paper cites an unresolved cited work.

Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:03:50.455549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.107453Z digest=sha256:dca1fe9ed7276e3b1698b298c0d1b8e432f59aa8899ef1912adbc68ebd60e1c9

Observation c546120b-c961-41fb-a378-904188b7a898 · outbound

This paper cites an unresolved cited work.

Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:03:50.404162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.117746Z digest=sha256:a69b76d35e975e6225190dcbfca0f450c677851fbff4d7536c81c78707c23c43

Observation 90ac1679-df46-4f29-ac7c-a1a61487daaa · outbound

This paper cites and Youngs, J.

Comfortability of quantum walks on embedded graphs on surfaces and Youngs, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.337691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.145901Z digest=sha256:19c16427777441e99d4069f7ab2f07fc049ced992965a49f8fb0217e72ea5d33

Observation 46e56186-dea0-4305-94f3-04cbfd7afe95 · outbound

This paper cites Tanner, From quantum graphs to quantum random walks, Non-Linear Dynamics and Fundamental Interactions NATO Science Series II: Mathematics, Physics and Chemistry, 213 (2006) 69-87.

Comfortability of quantum walks on embedded graphs on surfaces Tanner, From quantum graphs to quantum random walks, Non-Linear Dynamics and Fundamental Interactions NATO Science Series II: Mathematics, Physics and Chemistry, 213 (2006) 69-87

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:03:50.298575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.168323Z digest=sha256:20d60a1511b4d5bfc5eece01d8f45a2efdff0ba7d37c21e1c156f4fbcefb900d

Observation df16ab28-805d-4adc-abec-a91917145af6 · outbound

This paper cites an unresolved cited work.

Comfortability of quantum walks on embedded graphs on surfaces Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:03:50.263467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T21:03:50.173518Z digest=sha256:916b7b9d83acb01816640a54e0c4044ee75dc9d4e4e0b501e530838bfaa0ae38

Pith citing papers

Observation b9c4aae5-6c3e-45c6-a48b-41ed36381391 · inbound

Robustness of periodicity in Grover walks under a magnetic vector potential cites this paper.

Robustness of periodicity in Grover walks under a magnetic vector potential Comfortability of quantum walks on embedded graphs on surfaces

Reference 15

Resolution
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no resolver link, observed 2026-08-02T01:25:40.012201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:25:40.012201Z digest=sha256:fcf2303f55e34f4e1dfdb531c1e8712391db2af87cf37a0cbb441e5742420b46