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Paper Citation Record · LEDGER

Magic State Distillation via Codes over Binary Extension Fields

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.09727.

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

pith.paper-citation-record.v1
2608.09727 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:59:34.416808Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

31 of 31 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3634d97b-1a10-4592-ba29-894e0855a919 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.805997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.300668Z digest=sha256:20f5ac654f2462a5c15f864f2c13641c5f3bee737150ec20070819a2666fafaa

Observation 30432f57-11ed-42f1-9bd3-5b2e2a4faf86 · outbound

This paper cites For the triple intersections (a̸=bora, b, cpairwise distinct):.

Magic State Distillation via Codes over Binary Extension Fields For the triple intersections (a̸=bora, b, cpairwise distinct):

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:59:34.794323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.304840Z digest=sha256:920d299f79924d1b16bebb68163db58ac53b6a0a674dc597bbc89057e32eca7c

Observation 32aa5561-2689-4a28-9075-08580569abd3 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.760674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.317749Z digest=sha256:22ba6c068c0e57e253de62bf56d33bda8bc145109262be44eddcb877cbaff8e2

Observation a68ea81e-2d18-494f-95bd-412bb00c058f · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.782046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.309131Z digest=sha256:ceab57a2429493b6515f2560361f2e66800cdd3b9f282b691b64cf6fb93a04e7

Observation 80ccd757-e5c9-417f-9b41-95e26003fcc1 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.771607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.313508Z digest=sha256:924586cb33147a88b2b6c24c5983870c02e7c9d8e041affdf884dd76d15b1032

Observation 88254e19-f699-4ae0-b83b-678349b970db · outbound

This paper cites We know that for1≤a̸=b≤manda, bnot both in{1,.

Magic State Distillation via Codes over Binary Extension Fields We know that for1≤a̸=b≤manda, bnot both in{1,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:59:34.726222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.329702Z digest=sha256:fbea651062f538bf9e074db0daea42a7ce475151d79c07cb5af6e825d7d860ca

Observation 97c77367-7391-427b-84ad-5ad281ba35ff · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.749108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.321810Z digest=sha256:4311e488290effb8d016ea10a870ac07951bc4406729b36789fe5c0195cb1810

Observation a9ead362-ddfb-4548-bfdc-18723ecb1445 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.738655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.325941Z digest=sha256:21bf5c9c676ed543f37c28706d03995c28f54643c0f49aeb341b611ef1273e7f

Observation c9fd7bfc-5b11-4b02-a04b-d2fe01d195a8 · outbound

This paper cites Write theXlogical and stabilizer rows asg a,a∈[m], and the firstkare logical rows.

Magic State Distillation via Codes over Binary Extension Fields Write theXlogical and stabilizer rows asg a,a∈[m], and the firstkare logical rows

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:59:34.713422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.333555Z digest=sha256:6d524700771e79468f033b1db51d24f1ad24fbafcfff645a73d6d59304fb488a

Observation 9afa2a83-e354-4e22-8e6b-7443bf2497aa · outbound

This paper cites mX a=1 u3 a(gai)3 + 2 X 1≤a<b≤m u3 au3 b (gai)3(gbi)3 + X 1≤a<b≤m tr(u2 aub(gai)2gbi)(120) + 2 X 1≤a<b<c≤m tr(uaubucgaigbigci) # mod 4(121) ≡ mX a=1 u3 a.

Magic State Distillation via Codes over Binary Extension Fields mX a=1 u3 a(gai)3 + 2 X 1≤a<b≤m u3 au3 b (gai)3(gbi)3 + X 1≤a<b≤m tr(u2 aub(gai)2gbi)(120) + 2 X 1≤a<b<c≤m tr(uaubucgaigbigci) # mod 4(121) ≡ mX a=1 u3 a

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:59:34.701151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.337107Z digest=sha256:fbed9213fae72369b03cd021c63e78d1f039c71c579d75b1832c68deeaae4a4d

Observation 244abebf-0094-4c83-b67d-4745f05995d8 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.690207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.342176Z digest=sha256:f2d4fa1806c4033561b524f7dc82cc36ae96a4c2c34f79f78125eab25960d242

Observation ba5008d2-794c-4441-8db4-f58a9795ad61 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.678836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.346110Z digest=sha256:c8c1a59c244c4f32645a6f59e48998cc1ca3d931b1eab1d098192ab976c59016

Observation 22af0f53-e965-4c45-8daf-38ecc3db20db · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.666626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.349926Z digest=sha256:c0c96a4539ef43143b498ca98dc8159baa5bb0e1724119b648711a8591160240

Observation f593091e-6957-4192-b084-3d256cbba596 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.655377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.353542Z digest=sha256:8bafcd67ba1bef6ba40233e345d7fb482339001917ef808beac543300b03184f

Observation 4c7c75b5-222b-4ed2-a845-0a5d4a23dda2 · outbound

This paper cites Here it was natural to considerexp iϕ 1+P 2 rather thanexp (iϕP)since the eigenvalues of1+P 2 live inF 2, corresponding to the computational basis states of a qubit.

Magic State Distillation via Codes over Binary Extension Fields Here it was natural to considerexp iϕ 1+P 2 rather thanexp (iϕP)since the eigenvalues of1+P 2 live inF 2, corresponding to the computational basis states of a qubit

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:59:34.643533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.357829Z digest=sha256:7f18f27b770e8cb33b62b3bdea5b36e087f79f8dcc6b1e33c52bc1f6d10fdc42

Observation cfa9de13-d838-478e-93c8-dc8014cd303e · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.629428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.362821Z digest=sha256:7a7bb3e2590553be1967ab2526188c2fe3d8309075c8607ae204dbf82d28e930

Observation 296ae3c9-83ec-449e-8dde-6b0fd4f64b84 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.617622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.366768Z digest=sha256:c2439d7142c3066cd1e64e94ff10c1407dff15758557e011ad4d695e5e39a6f4

Observation 98b855e0-2a1e-4048-a10b-3c237aeea634 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.605888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.371178Z digest=sha256:69f453af1eecb972a0396c59f77e2f8546837f5727ccececca56695b865f3b33

Observation 9a34e5d3-fc2c-4e1e-9b3e-875ac9891e4e · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.594441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.374873Z digest=sha256:a32b52dcb0f2f2c7504bc04aab816f23c0c243b5b15a3b969de5aa187f49508a

Observation 6058c9e5-a425-4161-98f8-03e09475b039 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.583193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.378866Z digest=sha256:fb12369321829afa1721f38999a2b5beaea03337c040a2b93d0a94d40712d3ba

Observation b6c35b98-d6f8-4c4a-af3d-a6edb64dccae · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.571624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.382663Z digest=sha256:58a87df29bfd438d7e3b607379217c9a5d7519639a91f1bf5f656082e0534dbf

Observation 85299119-fefd-4a93-ae0b-17a14ce0a2fa · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.560983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.386281Z digest=sha256:fcb47f265ccdfa46543f752af33e187481371756306fa82d23be27a7273c47b0

Observation a333c13a-fde3-45ae-8a9f-3a94f33045fb · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.549829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.390005Z digest=sha256:35503aa76ece10fbb3361cd5eda711d87e1443e7eedb729606b58f4397731be7

Observation 5a318ee4-7c37-465a-b54b-dbeb614e1f08 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.538587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.393563Z digest=sha256:8cc45849d70c1a585a0045e86c4d3ba8f8377b543067f9a165eda19527ef1b3a

Observation 731e1f57-130e-4056-b858-fd7cdf55827b · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.526314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.396964Z digest=sha256:c19072f7b7ba8759e7d710d68c000bfc80fa787f17a21e306b5c8a1a57463c63

Observation 8404db18-4329-44e0-9887-52523aa406c4 · outbound

This paper cites an unresolved cited work.

Magic State Distillation via Codes over Binary Extension Fields Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:59:34.513428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.400547Z digest=sha256:178d9c0f298239d94a87c7670ecb997aa16199bf2f79ac30d6bc630d2163b486

Observation 1502732d-8695-4d53-8131-f841c443208c · outbound

This paper cites kX a=1 uaga i #7    |¯u⟩(175) = exp  iπtr  β.

Magic State Distillation via Codes over Binary Extension Fields kX a=1 uaga i #7    |¯u⟩(175) = exp  iπtr  β

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:59:34.500792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.404650Z digest=sha256:e1914e399b18d09148b65516cacf3ca4c1d2f13fdba3af6d26724bbf61306c5b

Observation 1e5be3ed-0e80-45d9-b419-aefcb9c153e4 · outbound

This paper cites This has the effect of uniformizing the probabilities of errors over their weights.

Magic State Distillation via Codes over Binary Extension Fields This has the effect of uniformizing the probabilities of errors over their weights

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:59:34.488913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.409205Z digest=sha256:f291fa7b98ade9da92c7438a9af5f129930827632e605a8a3a179c62af7c7434

Observation 3478c05e-ce93-401d-a7d6-4f9291a807cb · outbound

This paper cites For example, in the(20T→3CCZ [CH17])·(8CCZ→2CCZ) concatenation, since the first level has three outputs, we run three copies of the second level 8CCZ→2CCZ factory.

Magic State Distillation via Codes over Binary Extension Fields For example, in the(20T→3CCZ [CH17])·(8CCZ→2CCZ) concatenation, since the first level has three outputs, we run three copies of the second level 8CCZ→2CCZ factory

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:59:34.476288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.413115Z digest=sha256:e1dd8def22918ad8d0690389ac996f2f6878451f0ba3fb205034d59e321706ae

Observation a2ab458e-c846-4d67-a395-ecc553122cac · outbound

This paper cites best of both worlds.

Magic State Distillation via Codes over Binary Extension Fields best of both worlds

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:59:34.462224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T11:59:34.416808Z digest=sha256:a597fac30c9884fd27750fe0fb780e91b88f375f598ea1d041cb6ab3c9f388e9

Observation 63a5f62a-0827-4916-a279-019129458c10 · outbound

This paper cites How to factor 2048 bit RSA integers with less than a million noisy qubits.

Magic State Distillation via Codes over Binary Extension Fields How to factor 2048 bit RSA integers with less than a million noisy qubits

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-11T11:59:34.294995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:59:34.294995Z digest=sha256:5ed90b2960e77d11992252e560445c07ea80d488587b5bc48a2c586052c1bbb7

Pith citing papers

No inbound Pith citation observations are available.