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Paper Citation Record · LEDGER

An algebraically closed family of informational n-qubit purity invariants

As of 13 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.24987.

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

pith.paper-citation-record.v1
2607.24987 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T08:52:12.124288Z

measured 45 of 45 standing notices

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation 673e892e-62f8-44e4-8e14-cd424ad70323 · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 1

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source=pdf_text observed=2026-07-31T08:52:11.846443Z digest=sha256:83a557ab3fb409232bccc42fa8a9e9303a639c8838fae5a3ccd237e3d52ccbcf

Observation ed03c8b7-02ee-46a2-adc5-9f877452bedf · outbound

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An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 2

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source=pdf_text observed=2026-07-31T08:52:11.857054Z digest=sha256:b2bf74e46bfaf8f3192fe1b9ed2d43a912c186cc94358eb552b3ede42fc65588

Observation b004811e-d659-431b-9898-2c9a85d9c391 · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 3

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source=pdf_text observed=2026-07-31T08:52:11.864097Z digest=sha256:9817421c8e6126f376c0ca327fab2c76e6bdc3e59a6f1e471cfb41657bc433ce

Observation 01f1d2a0-9c75-47a7-a1a5-ba1efa1d89eb · outbound

This paper cites Jak´ obczyk and M.

An algebraically closed family of informational n-qubit purity invariants Jak´ obczyk and M

Reference 4

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Observation caa0975e-670f-43ba-9feb-ec5b9e0bb23e · outbound

This paper cites Bengtsson and K.

An algebraically closed family of informational n-qubit purity invariants Bengtsson and K

Reference 5

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source=pdf_text observed=2026-07-31T08:52:11.876505Z digest=sha256:c750379c37b0992454f4889c1580b1f77a05660414e2fa3528582ef4962c6aa7

Observation 3ea12c0e-4b28-486a-8baa-7be390cca371 · outbound

This paper cites Uskov and A.

An algebraically closed family of informational n-qubit purity invariants Uskov and A

Reference 6

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source=pdf_text observed=2026-07-31T08:52:11.882975Z digest=sha256:43960d6330b1f8d0385e15f00eabb054141b172ddf71ffb425d04805d0691100

Observation e46a86ed-2f9f-42d4-988b-c42639ab127f · outbound

This paper cites Morelli, C.

An algebraically closed family of informational n-qubit purity invariants Morelli, C

Reference 7

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source=pdf_text observed=2026-07-31T08:52:11.890098Z digest=sha256:1f8bdb27fc80ca491ed75c73dfdf1387e1d58dce39c9829cf1c505d0a14c0c4c

Observation 02b0851e-30da-45da-b3a9-9d381415ad0f · outbound

This paper cites Mosseri and R.

An algebraically closed family of informational n-qubit purity invariants Mosseri and R

Reference 8

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source=pdf_text observed=2026-07-31T08:52:11.897327Z digest=sha256:61180016d9acd387360e4235b551e37aad74af48476d5754eb32f2679e296fa4

Observation 921243d9-023a-494d-9626-0603ef49d246 · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 9

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source=pdf_text observed=2026-07-31T08:52:11.903510Z digest=sha256:445801f49376e00a019a9b0d1f7ebab66af87d5f14faee8210f781b3c3805de6

Observation 65a3d518-7e8d-4aa0-b14d-95b47e6f0cd5 · outbound

This paper cites Sudbery, On local invariants of pure three-qubit states, Journal of Physics A: Mathematical and General 34, 643–652 (2001).

An algebraically closed family of informational n-qubit purity invariants Sudbery, On local invariants of pure three-qubit states, Journal of Physics A: Mathematical and General 34, 643–652 (2001)

Reference 10

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source=pdf_text observed=2026-07-31T08:52:11.909251Z digest=sha256:b39a4ac4fe42e89dd1cbd0eae9f02a8a1929595c6422f17ce5eeb4b0c09061e0

Observation 62dd9898-8ab2-44c4-9535-49f29bc13415 · outbound

This paper cites Jing, S.-M.

An algebraically closed family of informational n-qubit purity invariants Jing, S.-M

Reference 11

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doi, observed 2026-07-31T08:56:21.311961Z

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

source=pdf_text observed=2026-07-31T08:52:11.914458Z digest=sha256:1f0f4cc4c733129619044facd58a2a640875d0f69c5aa5aba587004dd31c6505

Observation 343f65cb-c8e8-459d-8417-dd3304a82fc5 · outbound

This paper cites Quantum Theory From Five Reasonable Axioms.

An algebraically closed family of informational n-qubit purity invariants Quantum Theory From Five Reasonable Axioms

Reference 12

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source=pdf_text observed=2026-07-31T08:52:11.920665Z digest=sha256:7eb66c42e5116188974332a8735fc2d6f0999022ca734341042f8fa9cf470e56

Observation 9fd1f8be-acf0-4828-b39a-2b57a218a945 · outbound

This paper cites A derivation of quantum theory from physical requirements.

An algebraically closed family of informational n-qubit purity invariants A derivation of quantum theory from physical requirements

Reference 13

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source=pdf_text observed=2026-07-31T08:52:11.926694Z digest=sha256:61794a073197b494d23859ef7d7ed60f9de7e7323992b59cf3ef67710c5c3b02

Observation 0495cc32-0573-4df1-a26a-e67bccc1b1de · outbound

This paper cites Daki´ c andˇC.

An algebraically closed family of informational n-qubit purity invariants Daki´ c andˇC

Reference 14

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source=pdf_text observed=2026-07-31T08:52:11.933252Z digest=sha256:5f1373b21c0b40df7d5f800185a290ef7fcf3c5c4d7a9375a69aeb35894ada61

Observation 2b429ac5-98e3-461e-9bf6-3d400c9c2e24 · outbound

This paper cites Chiribella, G.

An algebraically closed family of informational n-qubit purity invariants Chiribella, G

Reference 15

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source=pdf_text observed=2026-07-31T08:52:11.940525Z digest=sha256:3a0eaf3b171a742aed7822e636760ddc0d244286ae7442e241dd70a9e4c05a87

Observation 7847486c-739f-475a-a28e-29caa6f8d56a · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 16

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source=pdf_text observed=2026-07-31T08:52:11.945418Z digest=sha256:3c171a4ef8d03caf9a7367fb7099bfc2f5c90d3bb747df3d2ec3f0950e411018

Observation 9b4ba4c1-4009-4743-92a6-2ea02e59c65c · outbound

This paper cites M¨ uller, Probabilistic theories and reconstructions of quantum theory, SciPost Physics Lecture Notes , 028 (2021).

An algebraically closed family of informational n-qubit purity invariants M¨ uller, Probabilistic theories and reconstructions of quantum theory, SciPost Physics Lecture Notes , 028 (2021)

Reference 17

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source=pdf_text observed=2026-07-31T08:52:11.950575Z digest=sha256:106be29c7ac4f97491beacd34dca8136054c055c5a66dcc82d1137323cce6a0b

Observation bde3ba9b-ef41-4273-b6fb-8cfd60a1f11c · outbound

This paper cites Quantum theory from rules on information acquisition.

An algebraically closed family of informational n-qubit purity invariants Quantum theory from rules on information acquisition

Reference 18

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source=pdf_text observed=2026-07-31T08:52:11.955232Z digest=sha256:79aef08ccee84405f569b4cba8b992afb3073b27eba21263f87dd6628133f360

Observation 98a528c6-a374-4bac-9e72-76be20c7e843 · outbound

This paper cites Reflections on the information paradigm in quantum and gravitational physics.

An algebraically closed family of informational n-qubit purity invariants Reflections on the information paradigm in quantum and gravitational physics

Reference 19

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source=pdf_text observed=2026-07-31T08:52:11.960578Z digest=sha256:37a6f1a4427f22a52fcdde7daa2263cea3556ea53a1305f9b095e0027e90400b

Observation be719253-75f8-4c06-a288-25202f49c1bc · outbound

This paper cites Brukner and A.

An algebraically closed family of informational n-qubit purity invariants Brukner and A

Reference 20

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Observation 3a0a2a0d-7795-4664-ad49-afed087727df · outbound

This paper cites Brukner and A.

An algebraically closed family of informational n-qubit purity invariants Brukner and A

Reference 21

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Observation d3ce9a2f-b15c-4335-86fd-092d9d5846d5 · outbound

This paper cites Frembs, G.

An algebraically closed family of informational n-qubit purity invariants Frembs, G

Reference 22

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Observation 1a015a49-812d-4711-a13d-4314b92043b3 · outbound

This paper cites Frembs, (in preparation).

An algebraically closed family of informational n-qubit purity invariants Frembs, (in preparation)

Reference 23

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Observation 231a8312-fc17-4c86-9907-b6babeb458b2 · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 24

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Observation 6b2c1f72-9b9d-4014-92e3-89d36aa421b6 · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 25

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source=pdf_text observed=2026-07-31T08:52:11.992242Z digest=sha256:7f38965a95a9593b22c0f915d13742914b4fbe988228544234f558d9dea19c44

Observation a3ddbd90-d628-46e4-a815-33350fc09aca · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 26

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source=pdf_text observed=2026-07-31T08:52:11.998287Z digest=sha256:59ff13f9ec37a0454ea38c44d2df9e078f2a38a93487a8c45f920d45554316a7

Observation 97ccea75-3e6f-4747-92d4-517e9dfb687f · outbound

This paper cites Overloading notation slightly, we will also write1for the identity inM 2n(C) (the explicit dimension will be clear from context).

An algebraically closed family of informational n-qubit purity invariants Overloading notation slightly, we will also write1for the identity inM 2n(C) (the explicit dimension will be clear from context)

Reference 27

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Observation 38adc5ba-e32e-436f-b2dc-cf1183b7bc76 · outbound

This paper cites Sarkar and E.

An algebraically closed family of informational n-qubit purity invariants Sarkar and E

Reference 28

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Observation b3e173ef-4c8d-4445-84e3-3cfeb03ebe92 · outbound

This paper cites Lawrence, ˇC.

An algebraically closed family of informational n-qubit purity invariants Lawrence, ˇC

Reference 29

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source=pdf_text observed=2026-07-31T08:52:12.016602Z digest=sha256:8d4e025b3c3988a5c320b58854d32d8f4aaca7a10f68b0be37b6446136eee654

Observation f24edbb8-853d-4bdc-8a65-3b6580ba0687 · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 30

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Observation 5a98faba-56c8-4d78-90c7-bb6311194c9a · outbound

This paper cites 1 since disjointness is not af- fected by conjugation.

An algebraically closed family of informational n-qubit purity invariants 1 since disjointness is not af- fected by conjugation

Reference 31

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source=pdf_text observed=2026-07-31T08:52:12.035445Z digest=sha256:60ed56e7cb1971a0b239d69a98063643a157808708284e4c150c16b25e6b3431

Observation 79f94c56-e161-45d2-8349-48186abdec9a · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 32

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Observation 958b8711-38fe-4b1d-908c-627b8291cdff · outbound

This paper cites Fujii, Geometric flow of bloch sphere manifolds and quantum error corrections, HAL (2025).

An algebraically closed family of informational n-qubit purity invariants Fujii, Geometric flow of bloch sphere manifolds and quantum error corrections, HAL (2025)

Reference 33

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source=pdf_text observed=2026-07-31T08:52:12.045627Z digest=sha256:7678e5b3702a8cfcbe380212019df104da91e674e97171146aba5f150d6aea67

Observation 8f8715d4-9ced-460a-8e75-0700893b566b · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 34

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source=pdf_text observed=2026-07-31T08:52:12.056126Z digest=sha256:3d9058d690f1aed912d9d89d1ed011f58ccb49dc2e7acc34910017f18438f490

Observation 1fdbb63f-1470-48ca-b9bc-51e5b54e611a · outbound

This paper cites Arf, Untersuchungen ¨ uber quadratische Formen in K¨ orpern der Charakteristik 2., Journal f¨ ur die reine und angewandte Mathematik1941, 148 (1941).

An algebraically closed family of informational n-qubit purity invariants Arf, Untersuchungen ¨ uber quadratische Formen in K¨ orpern der Charakteristik 2., Journal f¨ ur die reine und angewandte Mathematik1941, 148 (1941)

Reference 35

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Observation afe2802e-4b15-4510-b8d2-74a0ca7d5dc2 · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 36

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source=pdf_text observed=2026-07-31T08:52:12.070427Z digest=sha256:0669e6c3451fab9f4bb0132df0fafeddabe13a72c999b5334681df1dd80277c5

Observation 827a6a3b-a45a-47b9-95c7-46b6a19cd29d · outbound

This paper cites Knebusch and T.

An algebraically closed family of informational n-qubit purity invariants Knebusch and T

Reference 37

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source=pdf_text observed=2026-07-31T08:52:12.077429Z digest=sha256:19562210909e1e52c5c1eea661dc379538e60075dcac44b602d372058146fe98

Observation 84bf159f-e030-4c79-a585-979b11108c97 · outbound

This paper cites De Beaudrap, A linearized stabilizer formalism for systems of finite dimension, Quantum Info.

An algebraically closed family of informational n-qubit purity invariants De Beaudrap, A linearized stabilizer formalism for systems of finite dimension, Quantum Info

Reference 38

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source=pdf_text observed=2026-07-31T08:52:12.082626Z digest=sha256:6f45ef0b12d90ec9b841a0126aa9faf0fc4b124719fe43f1201ee3ee89cbd905

Observation bc6e0322-32e8-4038-ac8c-d2311abf1058 · outbound

This paper cites an unresolved cited work.

An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 39

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source=pdf_text observed=2026-07-31T08:52:12.088823Z digest=sha256:52cbe868bb26d04794fe65910a79d2b517e0133f7877b80096845c56038e7f03

Observation 2bae676f-909b-44d1-8ddc-006dc203300b · outbound

This paper cites Dehaene and B.

An algebraically closed family of informational n-qubit purity invariants Dehaene and B

Reference 40

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Unavailable: canonical work link unavailable.

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Observation 0df3e139-a91e-4e0e-ab6f-932671d9fee5 · outbound

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An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

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Observation 47f8d55f-8487-4ef9-addb-e42c203dd0c2 · outbound

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An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 42

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source=pdf_text observed=2026-07-31T08:52:12.106197Z digest=sha256:b21068f4985be9a65d14277943bcf6e3f684fd5d6f972f297eb70a2fdf4af4fc

Observation d10afbfd-2f7a-48b6-bbb5-e4cb51dc0ec5 · outbound

This paper cites For more 7 details on the relation between quadratic forms, their Arf invariant and the relation with the characterisation of pu- rity invariants, see Ref.

An algebraically closed family of informational n-qubit purity invariants For more 7 details on the relation between quadratic forms, their Arf invariant and the relation with the characterisation of pu- rity invariants, see Ref

Reference 43

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source=pdf_text observed=2026-07-31T08:52:12.112833Z digest=sha256:d4af919e045dd8a809a665a22cb04d1ea53c5c49e791fff75a475e45e3422109

Observation e0e8da13-5c3e-4874-9d32-0a89709dbe96 · outbound

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An algebraically closed family of informational n-qubit purity invariants Unresolved cited work

Reference 44

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source=pdf_text observed=2026-07-31T08:52:12.118487Z digest=sha256:354970308f68fa4dc0a08530ec3499fb66f0917beffcf819c0e57b08c117938d

Observation f312c39d-9dc9-4554-8a8b-5bed52909c78 · outbound

This paper cites 6, and the fact that cardinalities remain invariant under Clifford conjugation.

An algebraically closed family of informational n-qubit purity invariants 6, and the fact that cardinalities remain invariant under Clifford conjugation

Reference 45

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