Paper Citation Record · LEDGER

The exact convex roof for GHZ-W mixtures for three qubits and beyond

As of 15 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2501.07084.

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

pith.paper-citation-record.v1
2501.07084 v3

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:55:18.901039Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:06:48.274341Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-10T18:16:17.926450Z

Reference resolution

45 of 45 outbound references displayed

verified exact4
verified fuzzy23
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1e6c7e04-76af-43bd-ac9e-f0b9086364c1 · outbound

This paper cites Vidal, J.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Vidal, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:20.305095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 05092371-7100-445a-aaca-9b1fe5447aa3 · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:55:20.436731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 13172290-a1a3-4208-b4de-899680334b38 · outbound

This paper cites Therefore, it is enough to perform the classification in a wedge of the Bloch sphere given by the azimuthal an- gleϕ∈[−π/3, π/3] only.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Therefore, it is enough to perform the classification in a wedge of the Bloch sphere given by the azimuthal an- gleϕ∈[−π/3, π/3] only

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:20.466761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1d9e1778-ed78-4e1c-9479-4c27c56916aa · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:55:20.404960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6efbe1fe-2ec4-469b-a42f-b5fced85399e · outbound

This paper cites 8 0.85 0.90 0.95 1.00p 0.2 0.4 0.6 0.8 τ3 0.85 0.90 0.95 1.00p 0.02 0.04 0.06 0.08 Δ τ3 FIG.

The exact convex roof for GHZ-W mixtures for three qubits and beyond 8 0.85 0.90 0.95 1.00p 0.2 0.4 0.6 0.8 τ3 0.85 0.90 0.95 1.00p 0.02 0.04 0.06 0.08 Δ τ3 FIG

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:20.366240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1cf53a15-602c-4605-b827-41bac64f3afe · outbound

This paper cites Therefore, it is enough to perform the classification in a wedge of the Bloch sphere given by the azimuthal angle ϕ∈[−π/3, π/3] only.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Therefore, it is enough to perform the classification in a wedge of the Bloch sphere given by the azimuthal angle ϕ∈[−π/3, π/3] only

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:20.339374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3cc22153-e175-4ebd-bffd-8f5d1beb59ef · outbound

This paper cites Gurvits, inProceedings of the thirty-fifth annual ACM symposium on Theory of computing, STOC03 (ACM,.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Gurvits, inProceedings of the thirty-fifth annual ACM symposium on Theory of computing, STOC03 (ACM,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:20.278463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ccede75d-4b2b-4016-8f31-d559fe0c9609 · outbound

This paper cites Gurvits, J.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Gurvits, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:20.255260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2330a0ca-5577-49ae-bd63-3ffb8c1ce703 · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.585998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a19e42f9-b902-4fa2-a74a-074c22d7d926 · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.599278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66bae97b-6fc6-4c1e-b838-edf07409a8f3 · outbound

This paper cites Or´ us, S.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Or´ us, S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:20.199971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d355faa5-bd10-45df-8ad8-979bd3ae6f9f · outbound

This paper cites Ringbauer, M.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Ringbauer, M

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.618327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5747a68-bcf0-4e84-933d-3cf06dc18d27 · outbound

This paper cites Gisin and R.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Gisin and R

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.632641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2608bfe-c227-4b41-baa6-71f685f5230b · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:55:20.104288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bf9b0d3c-ac86-4e0b-aba6-206bcb18f0d7 · outbound

This paper cites Cozzolino, B.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Cozzolino, B

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:20.062479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 02e18e99-a69a-4c42-b4e5-b8cf8dc19261 · outbound

This paper cites Parallel trusted node approach for satellite quantum key distribution.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Parallel trusted node approach for satellite quantum key distribution

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:55:19.324280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a4dd50df-ab66-410f-bf86-35df48a56fa4 · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:55:20.037155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d7831967-50a3-4466-8dbb-ee6d2c1d440a · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.668863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8af36f2-b227-441a-a9ac-e9c5c9f216ab · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:55:19.981893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 946673be-9e02-4d2a-bb9f-7ef6c2aaff41 · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:55:19.954411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2edfa5f8-ec4f-490a-9d8c-ec7cda84e904 · outbound

This paper cites Aslam, H.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Aslam, H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.919615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c6b3e16a-808e-4471-8e85-8abeeb43e398 · outbound

This paper cites Schnabel, N.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Schnabel, N

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.896743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c6489278-65d6-40b3-a6da-b8630058b5d3 · outbound

This paper cites Pezze, A.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Pezze, A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.865848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 092d3167-f7b3-485b-bf5a-edcdd66440ac · outbound

This paper cites Polino, M.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Polino, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.828182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 37c55233-b362-4d96-b8d7-45c2478e3cae · outbound

This paper cites Verstraete, J.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Verstraete, J

Reference 25

Resolution: verified exact; doi, observed 2026-08-10T20:55:19.084112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2966a5a3-5ec0-45cd-af32-5abfcef67647 · outbound

This paper cites Osterloh and J.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Osterloh and J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.797415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 79d19af5-d981-4cc1-b7dc-7d48e858ad43 · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:55:19.772730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c5dca444-a8f0-46c3-9782-11eb47db21e3 · outbound

This paper cites Neveling and A.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Neveling and A

Reference 28

Resolution: verified exact; raw_fallback, observed 2026-08-10T20:55:19.262235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 129906ff-139f-4434-a548-624824581668 · outbound

This paper cites Hill and W.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Hill and W

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.751806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73dbdd3d-f95b-4c1b-afc5-fd37b05aed2f · outbound

This paper cites an unresolved cited work.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:55:19.723421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bda7b8b3-52f1-4f50-8be1-32c73d9ce91c · outbound

This paper cites Coffman, J.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Coffman, J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.771317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82a8d6f8-1a22-421d-a97c-5eebaa548aa6 · outbound

This paper cites Eltschka, A.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Eltschka, A

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.698615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 59e00c32-70e5-43ad-bb23-cb5dc47eaca7 · outbound

This paper cites Lohmayer, A.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Lohmayer, A

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.789502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9492fdc-6110-41f4-a260-a3a06e963d64 · outbound

This paper cites Eltschka, A.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Eltschka, A

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.797825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50151bf7-89f1-43f5-95b3-c9115f59a080 · outbound

This paper cites Viehmann, C.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Viehmann, C

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.611304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a9187063-e174-4e0a-8934-48f131937989 · outbound

This paper cites Osterloh, Phys.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Osterloh, Phys

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.586649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ea8e4649-8ce1-4a78-9b5a-675b3b8392a5 · outbound

This paper cites Carath´ eodory, Rendiconti Del Circolo Matematico di Palermo (1884-1940)32, 193 (1911).

The exact convex roof for GHZ-W mixtures for three qubits and beyond Carath´ eodory, Rendiconti Del Circolo Matematico di Palermo (1884-1940)32, 193 (1911)

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.554462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 768a32d1-d51d-492c-98c0-b6458457cacf · outbound

This paper cites Uhlmann, Open Syst.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Uhlmann, Open Syst

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.519751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 22a0abae-37cc-4dc8-8511-45cf48121664 · outbound

This paper cites Viehmann, C.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Viehmann, C

Reference 39

Resolution: verified exact; doi, observed 2026-08-10T20:55:19.033892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d0005e0a-99ff-4f9e-b246-f1db8bc0b4ba · outbound

This paper cites In thez j the tangleτ d is represented by τd = Q2d j=1(z−z j).

The exact convex roof for GHZ-W mixtures for three qubits and beyond In thez j the tangleτ d is represented by τd = Q2d j=1(z−z j)

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.480614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f201cf1b-8e77-4e61-a184-7c8e32583ce5 · outbound

This paper cites The stereographic projection would lead to a stretching ofθ by the value 1 +|z j|2/4.

The exact convex roof for GHZ-W mixtures for three qubits and beyond The stereographic projection would lead to a stretching ofθ by the value 1 +|z j|2/4

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.441708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 80a7bca1-7ac7-42d9-b462-33f097f51bae · outbound

This paper cites Uhlmann, Phys.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Uhlmann, Phys

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.407627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c4b40210-ddae-454e-a965-fb98f857ea30 · outbound

This paper cites Wong and N.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Wong and N

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-10T20:55:18.882250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5578e197-a313-41e2-a0ec-222b9c3fdf63 · outbound

This paper cites Cayley, Journal f¨ ur reine und angewandte Mathematik 30, 1 (1846).

The exact convex roof for GHZ-W mixtures for three qubits and beyond Cayley, Journal f¨ ur reine und angewandte Mathematik 30, 1 (1846)

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.382641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 012c1863-7709-489a-be85-5c034587e015 · outbound

This paper cites Miyake and M.

The exact convex roof for GHZ-W mixtures for three qubits and beyond Miyake and M

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:55:19.351367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 9f1663ea-debc-44eb-b9bc-fe79685c1093 · inbound

From triangles to prisms: towards a geometric extension of concurrence fill for three-qubit mixed states cites this paper.

From triangles to prisms: towards a geometric extension of concurrence fill for three-qubit mixed states The exact convex roof for GHZ-W mixtures for three qubits and beyond

Reference 25

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T14:06:48.381596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.