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Paper Citation Record · LEDGER

How Stark units enter SIC overlaps

As of 9 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2606.23535.

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

pith.paper-citation-record.v1
2606.23535 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T08:28:27.596199Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

42 of 42 outbound references displayed

  • verified exact8
  • verified fuzzy0
  • unresolved34
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1dd7aff6-830f-4fed-be8e-6acac371587a · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 1

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:00bdf3a34bbc16836f0b9eb0c785c1e08911e41c214fc552388c7fef7c1d0a95

Observation 9db4ac66-5e8d-4c0e-9076-16974bbb9198 · outbound

This paper cites Generating Ray Class Fields of Real Quadratic Fields via Complex Equiangular Lines.

How Stark units enter SIC overlaps Generating Ray Class Fields of Real Quadratic Fields via Complex Equiangular Lines

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-04T10:49:46.341173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:9ffdec28200b917e2b46531074b202fdf784db27a6df7beb99a7f4ecf1a2ebea

Observation 96740f76-e04b-42a9-8599-3843fcaf7def · outbound

This paper cites Hilbert,Matematische Probleme, G¨ ottinger Nachrichten (1900) 253; also pub- lished asMathematical problems, Bull.

How Stark units enter SIC overlaps Hilbert,Matematische Probleme, G¨ ottinger Nachrichten (1900) 253; also pub- lished asMathematical problems, Bull

Reference 3

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:4f8fedb691756aa09e8169c9bb2333e29d6fbdff574541a6d79b5e49cce2ad10

Observation 6219c0d6-3aeb-440a-8f2d-25282e05dad9 · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 4

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:f192033890c989e54dc7ce7c098568d8cf993345ce4a4d096560b51eec98e4e6

Observation baeb96db-afe6-4ea6-813a-ad6953067f10 · outbound

This paper cites Zauner:Quantendesigns.

How Stark units enter SIC overlaps Zauner:Quantendesigns

Reference 5

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:465e134aeccbdca82faa11e499cda7929b40a64f7af73cfe04fea0339a4f2853

Observation 2dad0b20-e0fd-4b92-a8a1-5ffab534fa38 · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 6

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:da36b38fe371f2d123120a243330e1df8919421edb7b54f428c57f7dcb1c5ca5

Observation c9896adb-5635-4a1c-8a50-3d33729baa43 · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 7

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:f34390d2db73b2449e835df9ffa620e72efbdd97ec67e4488f08158b69d61a34

Observation 3a0f30c0-3e30-4c82-918a-db85a827c318 · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 8

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:b84d50c6913b58100c03062c3ad407618f77e7e92778792108056f7cc4348f94

Observation 8ebf3eed-6b8f-47e2-a17e-1e5e5f8693b0 · outbound

This paper cites Appleby, I.

How Stark units enter SIC overlaps Appleby, I

Reference 9

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:ffdc4c7036ec5759504a08b8aae5981476f474e2c1d0fd5f1f0a7e6eb8be220b

Observation e85132a8-b819-4e63-85d1-fbe8dfaa9e9e · outbound

This paper cites Bengtsson, M.

How Stark units enter SIC overlaps Bengtsson, M

Reference 10

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:77c62ea6e7d010033811f9c04ddb304abdc1d29d31ebbd0cf37a3801f34d9134

Observation 2a4a9045-a14a-4704-85ad-82479041f240 · outbound

This paper cites Kopp and J.

How Stark units enter SIC overlaps Kopp and J

Reference 11

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:30f828e22b027e456792a325599525af2efc5ff619558fb04ef8f3f889936a74

Observation 5913b2fb-544e-4267-b4c5-ede65ed82102 · outbound

This paper cites SIC-POVMs and orders of real quadratic fields.

How Stark units enter SIC overlaps SIC-POVMs and orders of real quadratic fields

Reference 12

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verified exact
local_arxiv, observed 2026-07-04T10:49:46.337306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:5c5de6431d2716615b555abe8e108d54d4563057948f0413fce8e5029559f05a

Observation 0d66bf60-e5e2-4680-8d81-3d5156cbf4fb · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 13

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:94a6cefdf7b9cf0bf3994684faea12adee6dcd889ac4988107355725ef772596

Observation 73c09f3e-6b43-4bef-9971-477e818edf92 · outbound

This paper cites SICs: Extending the list of solutions.

How Stark units enter SIC overlaps SICs: Extending the list of solutions

Reference 14

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verified exact
local_arxiv, observed 2026-07-04T10:49:46.327113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:18af8d5b161f8cba4b0fb3ccf78671a9d616901e9fb9c5c2957deee0e3720a94

Observation 9410b997-311e-495f-a6fb-66f69fac8e6e · outbound

This paper cites The Shintani--Faddeev modular cocycle: Stark units from $q$-Pochhammer ratios.

How Stark units enter SIC overlaps The Shintani--Faddeev modular cocycle: Stark units from $q$-Pochhammer ratios

Reference 15

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verified exact
arxiv_id, observed 2026-07-04T10:49:46.343959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:14d2ecc0c99e86269707badb5b619ad16f1c90b45fa57f2802f4405eddfa68c1

Observation 2286eb77-acfb-4416-b4f5-6097a4f06923 · outbound

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

How Stark units enter SIC overlaps A Constructive Approach to Zauner's Conjecture via the Stark Conjectures

Reference 16

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verified exact
arxiv_id, observed 2026-07-04T10:49:46.332637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:a288869a82f578dbd4b5ac98591cb354ac28fcfb7457b3f8bced22e62d7758aa

Observation 84bbbada-cf69-4710-b849-7114ccd61ffb · outbound

This paper cites Grassl,On (square roots of) powers of Stark units in the fiducial vector, un- published manuscript (2023).

How Stark units enter SIC overlaps Grassl,On (square roots of) powers of Stark units in the fiducial vector, un- published manuscript (2023)

Reference 17

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:372512c4aee8b1234dfc3f92045f88f2df1bdcf9fff8b80fd1085aea551c5ac4

Observation 858fee17-413d-4da6-b59d-c6161e503eed · outbound

This paper cites Neukirch:Algebraic Number Theory, Springer, Berlin 2013.

How Stark units enter SIC overlaps Neukirch:Algebraic Number Theory, Springer, Berlin 2013

Reference 18

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:d4a603595e243e693505e07e703b369bde5d9570a45d56a08a35fa47616fb81d

Observation 7f52f311-12a9-4be5-a192-e1b070be81d5 · outbound

This paper cites Lang:Algebraic Number Theory, Springer, New York 1986.

How Stark units enter SIC overlaps Lang:Algebraic Number Theory, Springer, New York 1986

Reference 19

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:d5e0d2c8c317d7351150b88f9b23c1cec85ce8cdf8e949a75c6dc1180b3ca08d

Observation effbdf19-8c1a-4ecf-81ff-1d067dcc1dd6 · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 20

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:0eb66c54cd982eb2392a58f88ae06e70cb2c2ffd1ab4a96c239334ba4fbc534f

Observation e30a10fd-d3fd-41b7-b4be-8f25f535a428 · outbound

This paper cites Tate:Les conjectures de Stark sur les fonctionsLd’Artin ens= 0, Progress in Mathematics47, Birkh¨ auser, Boston 1984.

How Stark units enter SIC overlaps Tate:Les conjectures de Stark sur les fonctionsLd’Artin ens= 0, Progress in Mathematics47, Birkh¨ auser, Boston 1984

Reference 21

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:c46688929771531ce2b711c9275fecf956f0813658b69cb193e70383adab50d8

Observation 7d60538a-21a9-4a8b-9b1b-daaa1e47bc26 · outbound

This paper cites Bosma, J.

How Stark units enter SIC overlaps Bosma, J

Reference 22

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:dbeffbdc97ed304e93dedb65644f1f35d828eefb33abc3bca0a5b3a78aa66aa6

Observation f3d84254-afa6-4478-8d44-9a255045b0c0 · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 23

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:1d079f83d03baad9e45839977d74d86e3c05005259e93551387033bd1f093c0c

Observation 86647fb6-af06-4b29-8188-135b564c9f0a · outbound

This paper cites Grassl and A.

How Stark units enter SIC overlaps Grassl and A

Reference 24

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:6b71d16d413278d21e76642fe3c1d955a2af5b80155ebda08f79bb19f7a6feba

Observation 99847329-88ce-4b74-9aa1-ac13d7f22a42 · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 25

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:f75ef6d56d63f85bc5d9d6b817ea872c186c3188cbb3442e5b94f24ae8d1a9dc

Observation 668cdb4b-2820-46c6-935b-7b6d300fdd6b · outbound

This paper cites Bengtsson and M.

How Stark units enter SIC overlaps Bengtsson and M

Reference 26

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verified exact
arxiv_id, observed 2026-07-04T10:49:46.334919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:b57c811b001fcb3e7622d7a6e8ebdbd5413dc080c351724dd7a4af9aeae281e5

Observation 0b51578d-151b-4875-a18e-7edb5f898088 · outbound

This paper cites Bang,Congruence properties of Tchebycheff polynomials, Mathematica Scan- dinavica2, (1954), 327–333.

How Stark units enter SIC overlaps Bang,Congruence properties of Tchebycheff polynomials, Mathematica Scan- dinavica2, (1954), 327–333

Reference 27

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:45523c1524886325f8a9997164a31b40737e17a20e426aafa556d4ec17b5fc22

Observation 46e9a5d5-6334-4e1b-b3af-f89d4ef814fb · outbound

This paper cites Some new infinite families of non-$p$-rational real quadratic fields.

How Stark units enter SIC overlaps Some new infinite families of non-$p$-rational real quadratic fields

Reference 28

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verified exact
arxiv_id, observed 2026-07-04T10:49:46.338683Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:78c817bfc6e6e8012b6dd2f4685c095d1d5d58cb0563309f9e8bb145ddc06a91

Observation 6d46cb97-201f-4377-9ad7-27dd7840ed38 · outbound

This paper cites Appleby, T.Y.

How Stark units enter SIC overlaps Appleby, T.Y

Reference 29

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:f8452f8ee3fe2fd7c762e3d055932043f1699292d5157a3d7f978771d4c75222

Observation ac42cf43-23d2-4143-b4e6-7035d2c6f570 · outbound

This paper cites Appleby,Ray class SICs: Symmetries and Galois action, unpublished manuscript (2018).

How Stark units enter SIC overlaps Appleby,Ray class SICs: Symmetries and Galois action, unpublished manuscript (2018)

Reference 30

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:08d5429d6c8dc0c52c20a09e8597d64995e1fe347b19401b9ffe974fa64800cc

Observation 9a240086-d872-420e-b4f6-62d921c8099c · outbound

This paper cites Appleby, I.

How Stark units enter SIC overlaps Appleby, I

Reference 31

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:bb98f17bc0f9db32135bc3b3a88cc5e6c9d5ea9413f25459c19ed768cbefc500

Observation 3d2788fa-c2d4-4f79-816d-ec37d88b37a7 · outbound

This paper cites Bengtsson and B.

How Stark units enter SIC overlaps Bengtsson and B

Reference 32

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:dfebf2800dac32ffe1a6295a4971eb49741724ec165c5e9868a2169d19da7f63

Observation 8217ef62-b0f7-4ce0-96fb-b19c3ce282c6 · outbound

This paper cites Andersson and I.

How Stark units enter SIC overlaps Andersson and I

Reference 33

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:e32ce559433be0566e059363152ed7c65a097c8ffe5b07a4a69301c9a4d612e5

Observation b9086ee9-47f5-4cc0-bc0b-2c305e6d8527 · outbound

This paper cites Ostrovskyi and D.

How Stark units enter SIC overlaps Ostrovskyi and D

Reference 34

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:ddd670edb0c1b2a29d331cf05a19532c8a64b6952eb3f9b23ffe64d3e605e0e7

Observation 9ef33fcd-9287-4eb0-9fcc-1adc3be9b952 · outbound

This paper cites Cohen and P.

How Stark units enter SIC overlaps Cohen and P

Reference 35

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:43dfea9e19a406a60368d6d61094440a4bd6f84143b56581bceacdf5d9154758

Observation e01a36e8-f3c8-423f-9644-e96a2fac9312 · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 36

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:c0944f67ceee10115cfee49623bc3c947bba69f389f89b9596d70f08e1bd2f52

Observation 939213c6-d7ed-4925-9c5d-d19b75925384 · outbound

This paper cites Weyl:Gruppentheorie und Quantenmechanik, Hirzel, Leipzig 1928; also pub- lished asTheory of Groups and Quantum Mechanics, Dutton, New York 1932.

How Stark units enter SIC overlaps Weyl:Gruppentheorie und Quantenmechanik, Hirzel, Leipzig 1928; also pub- lished asTheory of Groups and Quantum Mechanics, Dutton, New York 1932

Reference 37

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:908bbe3d4f3ed71277b2cc6f9c2765d8c14dfb491b562fbe6132d380ab36fdd3

Observation 667966d3-3aee-466e-a622-2154794789d7 · outbound

This paper cites Schwinger,Unitary operator bases, Proc.

How Stark units enter SIC overlaps Schwinger,Unitary operator bases, Proc

Reference 38

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source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:9e5ab6c8ec89cae02719c861a96bbe1aa9ed8e8d9e8fbbae1ef0f73f27d245c6

Observation 035e9af8-f16c-4596-b43a-be083ef0e2ac · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 39

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:272cf6c87b18410660023c189f7ee4514840b41e7de7cc40a59403a84c0888fb

Observation 9f393b33-37bd-47b0-bf71-665b170762c2 · outbound

This paper cites All complex equiangular tight frames in dimension 3.

How Stark units enter SIC overlaps All complex equiangular tight frames in dimension 3

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-07-04T10:49:46.329519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:9653b11ae60b90448a03ec85ff9a8462773f9a554085f0ae2e0930022b465bce

Observation f1df5abd-f741-4b22-bba9-ad95481736b6 · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-06-26T08:28:27.596199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:b7ac3b38a1b1d3a56c500734b1cff7b9e671d3dcd3666b900fe3a4a23aeae587

Observation d0e61854-b1f7-46d2-8a53-cc2ac1a419cc · outbound

This paper cites an unresolved cited work.

How Stark units enter SIC overlaps Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-06-26T08:28:27.596199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:28:27.596199Z digest=sha256:28369b825a0b9356d8da2056fa1ddac5b6307abe09e7a9f6a7e00b50a54aea50

Pith citing papers

No inbound Pith citation observations are available.