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Paper Citation Record · LEDGER

On the spectra of prefix-reversal graphs

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.08345.

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

pith.paper-citation-record.v1
2506.08345 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:46:56.900992Z

measured 19 of 19 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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 03f6fe64-7d4c-480d-8946-dbca9b50a653 · outbound

This paper cites A., and Buehrle, C.

On the spectra of prefix-reversal graphs A., and Buehrle, C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.277930Z

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=2026-08-07T05:46:56.796386Z digest=sha256:97b8247aabb646fc72254fbd34b0a9982b328cdd2f362c9123dff06360ad2331

Observation c919e56a-b6f1-40a5-9c0c-7fbe49a84095 · outbound

This paper cites A., and Buehrle, C.

On the spectra of prefix-reversal graphs A., and Buehrle, C

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.260280Z

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=2026-08-07T05:46:56.802839Z digest=sha256:49d3f722b9f16678649d9b54d281989234c15a431f3915121d61e2c5a4701502

Observation b4a1b8bd-023a-4280-af57-325dfbbe68af · outbound

This paper cites A., Buehrle, C., and Patidar, A.

On the spectra of prefix-reversal graphs A., Buehrle, C., and Patidar, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.244683Z

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=2026-08-07T05:46:56.807970Z digest=sha256:b2c71f1ae22710370b2ff8b773c0bc586ebcff55da13112443cfb4de10ae9009

Observation d7ed7919-1ad7-46d2-b186-f49185d815d1 · outbound

This paper cites A., Buehrle, C., and Patidar, A.

On the spectra of prefix-reversal graphs A., Buehrle, C., and Patidar, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.228993Z

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=2026-08-07T05:46:56.813856Z digest=sha256:df3529c2145d35ec69765aea8298913966b8181f6a30ee3df1518599caf41408

Observation b6d7bd6a-bd39-485a-a17a-f9927045e6a7 · outbound

This paper cites Pancake flipping is hard.J.

On the spectra of prefix-reversal graphs Pancake flipping is hard.J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.212714Z

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=2026-08-07T05:46:56.819771Z digest=sha256:ef140f7950a000744978c4e071391af15794e1c57d3dad9cf446910d89fabb74

Observation dc529e53-811b-403d-94ae-f3e7bdb9a877 · outbound

This paper cites Cayley graphs on the symmetric group generated by initial reversals have unit spectral gap.Electronic Journal of Combinatorics 16(04 2009).

On the spectra of prefix-reversal graphs Cayley graphs on the symmetric group generated by initial reversals have unit spectral gap.Electronic Journal of Combinatorics 16(04 2009)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.195236Z

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=2026-08-07T05:46:56.825942Z digest=sha256:2c25f942f7bffe88c249617ec199b4cb13c408f30adf8eff93b774985a181d56

Observation 65ff63cc-94df-4d5e-87fa-0fd1a4d281f1 · outbound

This paper cites The spectral gap of graphs arising from substring reversals.

On the spectra of prefix-reversal graphs The spectral gap of graphs arising from substring reversals

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.176672Z

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=2026-08-07T05:46:56.832704Z digest=sha256:37c00b95b60dd5ba355add155abe9d79cf04044f67445dd6410c2156cbe6f9c4

Observation 332d97c9-7a13-4a0a-9f3b-925238956aa5 · outbound

This paper cites Spectra and eigenspaces from regular partitions of cayley (di)graphs of permutation groups.Linear Algebra and its Applications 597 (2020), 94–112.

On the spectra of prefix-reversal graphs Spectra and eigenspaces from regular partitions of cayley (di)graphs of permutation groups.Linear Algebra and its Applications 597 (2020), 94–112

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.152498Z

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=2026-08-07T05:46:56.837678Z digest=sha256:ca106793fc76b646171a9a5b92c15ee81925e4004c113f79aeea8d1e27953e04

Observation a6cfb266-ed21-4e58-8c3f-2628290b700f · outbound

This paper cites H., and Papadimitriou, C.

On the spectra of prefix-reversal graphs H., and Papadimitriou, C

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.124831Z

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=2026-08-07T05:46:56.842764Z digest=sha256:a0eb55e90bef0cc585c36aa6a1cf85e51604abfc803c74cf4506529cbf24d79c

Observation db7e1a55-117a-4a06-b28c-4df71d967721 · outbound

This paper cites Algebraic Combinatorics, 1st ed.

On the spectra of prefix-reversal graphs Algebraic Combinatorics, 1st ed

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.105339Z

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=2026-08-07T05:46:56.848502Z digest=sha256:805f40630951093e53e4bb53ec44d3858db231a40c2a6f9b9573f027cd9113bd

Observation 92a2953d-566e-443a-b66c-2dbb6759e2f4 · outbound

This paper cites Expander graphs and their appli- cations.

On the spectra of prefix-reversal graphs Expander graphs and their appli- cations

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.089107Z

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=2026-08-07T05:46:56.854786Z digest=sha256:f0531a2c0b05987e902ffb006f68f7650a4cbd304d47c789d0c28a326633ebbe

Observation 99086ed2-d8b9-4409-8131-6ac3d7e90065 · outbound

This paper cites On the embedding of cycles in pancake graphs.

On the spectra of prefix-reversal graphs On the embedding of cycles in pancake graphs

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.072641Z

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=2026-08-07T05:46:56.865479Z digest=sha256:2b6df26467b7298d9821f527714f594abd106a0ed4476374ef6559523486746e

Observation 4cf9008d-332a-49fe-a7f7-4f9a251a9eae · outbound

This paper cites J., Kramer, E., Conw ay, J.

On the spectra of prefix-reversal graphs J., Kramer, E., Conw ay, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.057200Z

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=2026-08-07T05:46:56.871131Z digest=sha256:b58a9218bb3dcbe14db74461910a2d5e447bb5e2c3735c44b1f57faa7ed48f0a

Observation e6ecb83e-0345-4b49-9173-330c12265e9a · outbound

This paper cites 32, 5 (2016), 1965– 1978.

On the spectra of prefix-reversal graphs 32, 5 (2016), 1965– 1978

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:57.040578Z

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=2026-08-07T05:46:56.876800Z digest=sha256:5e4b9aeb44f2f9200a5786ded82b88b03080c41a27f7937bcb9193eb5396bdac

Observation 63410fbc-718d-421f-8e57-be81fa3e5b37 · outbound

This paper cites an unresolved cited work.

On the spectra of prefix-reversal graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:46:57.020961Z

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=2026-08-07T05:46:56.881588Z digest=sha256:e81db6f4b4f319827a6752858b0783e2c1ce5ef98142e6171cc94f9aeccaeee6

Observation 8385c41b-5b44-488a-8315-e1f023384eda · outbound

This paper cites an unresolved cited work.

On the spectra of prefix-reversal graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:46:57.001601Z

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=2026-08-07T05:46:56.886284Z digest=sha256:1f9c0ef36e3c284d19ab8002c5dbc550701911e13633ed74ed06ecb28ff37da7

Observation f72a5bd2-7004-4cd2-a4ee-d857fe643e84 · outbound

This paper cites Permutation statistics of indexed permutations.

On the spectra of prefix-reversal graphs Permutation statistics of indexed permutations

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:56.983209Z

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=2026-08-07T05:46:56.890759Z digest=sha256:3a1dc670bd93f7efc7c41454e21b0ba53521f7881f5950b51cff7204ff7a6ece

Observation 5eeedae2-eb9b-4329-b82d-f51c9fece573 · outbound

This paper cites Eigenvalues of circulant matrices.

On the spectra of prefix-reversal graphs Eigenvalues of circulant matrices

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:56.965612Z

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=2026-08-07T05:46:56.895524Z digest=sha256:fa15dfb3ded8267c825ee3d88e97caa14349de208b628d3622faa4ee23a11691

Observation bc7cb25b-2e99-40e9-86dc-7b5b13746b67 · outbound

This paper cites Cayley graphs of finite groups.Journal of Algebra 118, 2 (1988), 447–454.

On the spectra of prefix-reversal graphs Cayley graphs of finite groups.Journal of Algebra 118, 2 (1988), 447–454

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:46:56.945463Z

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=2026-08-07T05:46:56.900992Z digest=sha256:eab7935fd19a7d1b69f31439fe03b283c4bdd29e2ced872dc37af84e67b3d6ab

Pith citing papers

No inbound Pith citation observations are available.