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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=sha256:1cf4573f7c76fc329203d78e1642f6788dd10c631259905f07b27d6526d4883f

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

This paper cites an unresolved cited work.

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:d1498455fdebb1da6b14c2930204b519e47addeced7c82ec63c8aa13f514cd23

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:da43c8e1bf3c0195737df60b9eb0320f631275c5c0e58bd62e1c9b9a16ff3996

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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source=pdf_text observed=2026-07-31T08:52:11.870273Z digest=sha256:96d12a4c6a75c75bc34b8e58062d421d51bc1913d763c8219ec0194efb879bef

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=sha256:1028f69eb89a3887d728fefb3fead3f2e0735e264af38fe23f097ad66e26876d

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=sha256:8bc57ad00431c3c6e1b242ad3f5fb95acc37eaf7a3b25fb19a8b9b2ecca84641

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=sha256:8cc6d1b5dc73d9c3f74158784a710133849bc6b94ab8105eacf20658f4cb95e3

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=sha256:7322ecc23c627750313787aa44ff0b1b84f6c05864081832328264b4a9a38350

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=sha256:0fee1dde1965389e91586ac84ad4325cb05c2cea6ebfdccd92448143f99e4c24

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=sha256:2b86150a723cdd5028d01df279645f75671327dbbf04a3443440f3de8afb2574

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=sha256:782e53c709e66d46e2f1076c1253f6d7edb42a3cf6e651cdb693757fd1625785

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=sha256:26199f1aad601b3b98e182a55c1dc8e4b68e0d48e989b0b634bbc8b820c0eb18

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=sha256:8d23088b865c02a7f38e0bcab9a51d8b523b5b8ae60104894dd46617d2034fe1

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=sha256:53915c08e933ffe949174a7aa8a8d95d2d0fe2d853db1fd16a8ea4f618ad9741

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:bbc19afd4b2ecf4f0ca75b5266c4b44ff0ec3f03cc5fd3d2be24f67f6585859b

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=sha256:1e936d975b7e3f5234cd4b0941ec04c97c9971ba0397e1d127d2d93a9fae854f

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=sha256:67d0706fee1a0970ec6d07df2f9726ffb3fa62f11291f48a749108376e36d034

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:f30827ab47fe62b72087e90b4eb5cde225236e5ac2b90d22d4943d41de113eba

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=sha256:6c810b74726ea5cc29550cd5c78edd86ed14e470f56a05b26ea64abc402e52ca

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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source=pdf_text observed=2026-07-31T08:52:11.966379Z digest=sha256:1cdef6f189e5572c3b2efe1b39142537bf64206d7231f063a40d78918bdec26a

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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source=pdf_text observed=2026-07-31T08:52:11.971281Z digest=sha256:5ac63cbbb7eec45cf2d9eed77e4a5825076007e2c3e9df1a90987eee1cf357f7

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:f085ed9fadc1cee3ba07abc83c81a75226c924b4c4906c070177f34bfd9b32fe

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=sha256:34c0f3021739d347ce3e417e497e18136f87cb0e073163e5f1c342474ab531aa

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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source=pdf_text observed=2026-07-31T08:52:12.004045Z digest=sha256:55d98091a234ff858a8a4116026e08c1c2e435b07bb76ba97ef6fcb637222d81

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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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:aa5f27b9d60cbed289286df39ccee0dee6c98edc36f140a219101cc3c7dee9b1

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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source=pdf_text observed=2026-07-31T08:52:12.040245Z digest=sha256:059ab199802fa5df9ca87e230e8cbf0cbcb18beb7f351d7bfe3629a713b0ccb8

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:ec41ad625eaa540de34dc81d26cfd17baab43e4b3b521943c37da6d84495ed69

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=sha256:1f5b244876d0ce1720be84f9f9296b9fe6e754f2f78862c6fe30a68de12c3e5a

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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source=pdf_text observed=2026-07-31T08:52:12.063890Z digest=sha256:031db61dc0ace3f5592ada5cbe052cb1b07b11957897353773c81a92968d2660

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=sha256:42d7dd029fa998eda8ae56e9e73c9a69083950f1b8a0475c745792c8e418b875

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=sha256:321ec8e585788245e8e1b0d27385a33524c424b6cbe961f9f6e5888fdf33888e

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:f1b09c692d02fda3704d0fe759f5be733e72da6fcf2503e4a8a5693c81cef571

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:c5ed1f1ec7c1ffbc0e38298a4e852b8b19b3ab8d17d78c9afd889fb9a5d42021

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

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

Reference 41

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source=pdf_text observed=2026-07-31T08:52:12.100468Z digest=sha256:4999d498d3f148db6a5c2567968c81b5614c7c55aa6e264f8e9f3f28078496eb

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:f89586c5da05afeb14684e10c97b6f3f35781a6566505b0aa1a4eb8bc899c0ab

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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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:acde0328c03abd3ad7065bebb7fc92da36f3ba7b891a55a5eb5a2e84c09b4b7c

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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source=pdf_text observed=2026-07-31T08:52:12.124288Z digest=sha256:960f5560d65fb8573342654b1164d1e96036e7c098f9ad0d6f77e7621a581d76

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