Paper Citation Record · LEDGER

Asymmetric SICs over finite fields

As of 9 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.20778.

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

pith.paper-citation-record.v1
2506.20778 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:54:15.088034Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

32 of 32 outbound references displayed

verified exact0
verified fuzzy13
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3cf8d238-a251-422f-8424-76c36881fcac · outbound

This paper cites A Constructive Approach to Zauner's Conjecture via the Stark Conjectures.

Asymmetric SICs over finite fields A Constructive Approach to Zauner's Conjecture via the Stark Conjectures

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T22:54:09.511672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2220c41a-1a21-4741-a1e1-7d6cb78f354d · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:25.568174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bc98e5a1-407c-49b6-a8f1-65369529cf68 · outbound

This paper cites de Launey, R.

Asymmetric SICs over finite fields de Launey, R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:25.193041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c9edcc75-7cbd-422b-9c6e-d093850e3e6b · outbound

This paper cites Dempwolff, W.

Asymmetric SICs over finite fields Dempwolff, W

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:24.799458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ef37de15-5c12-458a-87cc-0a901f9feb48 · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:24.460763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 526c64b0-2530-40d6-8ac8-70667bcc7911 · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:24.145507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 300648bc-3775-4b34-b477-5ffb696b255c · outbound

This paper cites Hall, Jr., Hadamard matrices of order 20, Technical Report 32-761, Jet Propulsion Labora- tory, Pasadena, 1965.

Asymmetric SICs over finite fields Hall, Jr., Hadamard matrices of order 20, Technical Report 32-761, Jet Propulsion Labora- tory, Pasadena, 1965

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:23.751530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 711fe8f6-20ed-40ce-ab64-0a801cf332b3 · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:23.460207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f982e9ea-28c1-4282-a6f6-da872d308faa · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:23.122712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 98372894-199d-414d-bb16-0a2439716760 · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:22.767416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fceb6da4-a641-4157-88c2-6c538f584224 · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:22.421960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1b6cd9ca-12f6-4e6b-b5e2-b2df1c69290c · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:22.076993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9401bd26-b1a9-493b-943f-d364134f0daf · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:21.745670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3c2b1492-b771-48f2-855d-6076b06f883d · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:21.426165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 368dc6a4-107c-46c4-b500-3b99a9e2429b · outbound

This paper cites Jedwab, A.

Asymmetric SICs over finite fields Jedwab, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:21.046606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c7575fe9-cc8e-4ea1-a0e4-958eed413a35 · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:20.686326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e926c179-11a3-4969-a37d-6c5afb71af42 · outbound

This paper cites Kharaghani, B.

Asymmetric SICs over finite fields Kharaghani, B

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:20.403938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9bc8860e-cc11-4a60-b488-215f46748258 · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:20.076759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ef7e6230-821e-42f3-990a-f1549e2404bd · outbound

This paper cites Kuperberg, Hadamard matrices modulo p and small modular Hadamard matrices, J.

Asymmetric SICs over finite fields Kuperberg, Hadamard matrices modulo p and small modular Hadamard matrices, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:19.800172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2d69073a-c4b3-46ef-a29b-f6c68b39e09a · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:19.480075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e8174ebe-d365-43a5-ad1e-09256944bddb · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:19.099381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 958d0da4-8f92-40ff-9fbf-7ea1afa02f74 · outbound

This paper cites ´O Cath´ ain, Group actions on Hadamard matrices, Masters thesis, National University of Ireland, Galway, 2008.

Asymmetric SICs over finite fields ´O Cath´ ain, Group actions on Hadamard matrices, Masters thesis, National University of Ireland, Galway, 2008

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:18.783136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 242eea67-b7d7-4c4a-8dd1-a38aef2f2283 · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:18.466748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c1d55cce-85be-4670-b63f-b7efb01d3d2e · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:18.217499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0f7dbabf-b2cc-48e0-a172-968c50b24117 · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:17.896034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8139cad5-f194-420a-9ca5-3733bd7df128 · outbound

This paper cites Spence, https://www.maths.gla.ac.uk/~es/hadamard/hadamard.php, accessed June 18, 2025.

Asymmetric SICs over finite fields Spence, https://www.maths.gla.ac.uk/~es/hadamard/hadamard.php, accessed June 18, 2025

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:17.605439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a42b12e4-1763-427d-af06-2af1392fe2bc · outbound

This paper cites Spence, R.

Asymmetric SICs over finite fields Spence, R

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:17.284263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0b6ea3f5-8614-4ca6-8282-2c8a3027dc62 · outbound

This paper cites Waldron, A sharpening of the Welch bounds and the existence of real and complex spherical t-designs, IEEE Trans.

Asymmetric SICs over finite fields Waldron, A sharpening of the Welch bounds and the existence of real and complex spherical t-designs, IEEE Trans

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:16.892035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d6ac9fd3-d2c6-4948-a02d-1decfdd9b40c · outbound

This paper cites an unresolved cited work.

Asymmetric SICs over finite fields Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:54:16.554598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ffffd5ec-bc50-49b6-bfe9-ab5ec8682226 · outbound

This paper cites Zauner, Quantendesigns—Grundz¨ uge einer nichtkommutativen Designtheorie, PhD thesis, U.

Asymmetric SICs over finite fields Zauner, Quantendesigns—Grundz¨ uge einer nichtkommutativen Designtheorie, PhD thesis, U

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:16.222490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 63ed4c7a-e2a2-412f-ba35-c312a237a8e7 · outbound

This paper cites Zhu, SIC POVMs and Clifford groups in prime dimensions, J.

Asymmetric SICs over finite fields Zhu, SIC POVMs and Clifford groups in prime dimensions, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:15.886560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0803e2c9-14ef-49f2-878f-cf7992bc8844 · outbound

This paper cites Zhu, Super-symmetric informationally complete measurements, Ann.

Asymmetric SICs over finite fields Zhu, Super-symmetric informationally complete measurements, Ann

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:54:15.479730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.