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Paper Citation Record · LEDGER

Magic State Distillation via Codes over Binary Extension Fields

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.300668Z digest=sha256:cd5a3a5bf00a3aa7b6991514de601ce73da4ad9bcac7e916ec654c6a7a731851

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.304840Z digest=sha256:1d2a85e4b8e36c4817533a78fe8bbb7e4aaeb8b6a53ea726d81180d8c8384c58

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.317749Z digest=sha256:e8f83c89f99dabdc2e01d57d88e2da0db2d247472cba7c638ca2fa24244e2a8c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.309131Z digest=sha256:c437be7e82422722fa0b1039fdc14a1d7e06d55f909b4d9623c4c2bbbe998852

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.313508Z digest=sha256:e64fcb13a0acd4bc3b5511c90425cdef6a8202dbf4810ae16d9252f31104db75

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.329702Z digest=sha256:b8602c28da383409f7eccc639852cb7ba0d266efe9f6523d405343e144c480e6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.321810Z digest=sha256:e43030efa085735d51e0f0bece761c5d70677077d2b36653b8585eee0a01ad34

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.325941Z digest=sha256:c7ab07673548d51f40d95db7f14a88bde75f46ba23b779b511fded0487f90ddb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.333555Z digest=sha256:c0c31f83417c6d33c2f18d711c4f61fa16505a12b0e1b49a7e30e261542fe13d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.337107Z digest=sha256:951f549a597474703bcd3d7de3a37d9ccde672dc7eb5b5c660e391155a678c4e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.342176Z digest=sha256:d1b35674e0616c1d9071d543ff98eb15d1b03c7ae947816d3bdcc126a425f08d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.346110Z digest=sha256:8ddc8af16f773eef3d894b54a9789a31ffa979c0a7d037bc611d404dc77b8534

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.349926Z digest=sha256:471b7dc185e981f0216a39d5f7693fa893db466ba421bc1d193226a751f2250b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.353542Z digest=sha256:89f7fde7fd19bbbafb02d52739d7dcbd35c2c862fce2d4ef16dd56e427d4ba8d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.357829Z digest=sha256:e24c893c4fa5f2c31e60acd31b8d780647f605f433c6722f317509dba3f0cea5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.362821Z digest=sha256:91755ef0c88adaa66beb956e7e3cfe9c3d69ca51d6b223de003bcdd6f261210e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.366768Z digest=sha256:904fec7918c9f8a1a8c361e78dd9ced0300c684878446a77fc8d9a5488be82ce

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.371178Z digest=sha256:e2bddcc0301cc7b4168701aedf5896eff7458796e43c9643fec9f69435d6fce0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.374873Z digest=sha256:2d53be1878501bd7fd54391001693a45090029135583a5ebd5608032d74391e9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.378866Z digest=sha256:518e8451d13af2c53ac69639e0778ee0b8f14b6aa148d4067a1af82cc002f067

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.382663Z digest=sha256:c9553f4e09a8a2be195041b70618d393009871ffe96cab4fd40e22ddec2a9dc3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.386281Z digest=sha256:c58c591562f4c8369153657b8a5e16acf88f8628bc1655ae2e5d0efbfc3d8fa6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.390005Z digest=sha256:ec94ffaccce8043ac380012136cfe1a6c7df55d147745173a5e8b47d53b0f55c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.393563Z digest=sha256:3bc3ab8f86d0a91b7ef82abec2312465a7c84db36e66f2f343305a82570625ff

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.396964Z digest=sha256:82c91929da886e022911338b597d75cb1cf1f92fd0aecd1cb5c6dc6551fe3c7c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.400547Z digest=sha256:28669e6fa4945715f95baf2cadae95f140d1652fe67e371b08b9a140fce0eaf8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.404650Z digest=sha256:e2837738e88805260d5d923ca4e0580ed8ef5afc86acdda330aff7e752df7cc3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.409205Z digest=sha256:f05b55f33e75d849eccd8d4e2c811d4b085e1a6aafb9e8e4b5dafbd3693c1a72

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.413115Z digest=sha256:dcebd0ace509a7943adef45045f0c30782de3a57dd297f2b7dc427d41792e9b0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:59:34.416808Z digest=sha256:dd465ce1458dcc3e3a002b87e80064f396e87ba81a88c18b8cbd25cc1ee8aba4

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=sha256:43edb339eedb562bbd3868f4f2b6df75d4ed0ceb043ce387c3a478fbd93b3104

Pith citing papers

No inbound Pith citation observations are available.