Pith. sign in

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=sha256:7b05a59a4cea0099ae216ebad349d1a4bd6eb55914991a909a95d1fca86a0b5a

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=sha256:01b503095d4852832673217b48c26467ff96851a06edeebc23fbcdb8fbe98afd

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:a7e5ae3eb722dcb12a36c730688ebb7ee04e02c0ced9a6df74fa002302b89d12

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:e578e2a626c025d30bb4ae039e6f1dc23aad2d33eb3abedac7b92242fb4ee04c

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:fcf1c009b38cc87ce78ff1e2f622643c8dfdae54a651e71352e6cb1d81f561b2

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=sha256:899aba8292bdb8ae941bd056b8fb2989b56416db0d22f87b72ec55c56ef2d488

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=sha256:20336db08270e18efbbd2552a4c1bf1c0a6226e5a7b9839b49d93021a5ef6dce

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=sha256:4a5d9a2f733a5a97c0badfd8264a7cffc8ff25199c009e5e7b1a1b5ef2ea6b9d

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=sha256:6ca4d2b5873b36af6e09fdeb4a0e0c13b616a7d0a3fa0b12fab2af8d49a20d7f

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=sha256:89298c70ebd04742f46dc9420e8b7447b604e5c61254e44bf2fedfc049925521

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=sha256:294cf76da3ae3e0c0d49052f47944fba3c8afc870ddd69225526cff3119ff030

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=sha256:5df09a686b982f6f63995cfa9110fb706a15dbc5566059389ccffb5451cdb079

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=sha256:32893a760b6e715b77aa58ca196c25d82b47f7d05d0e2521134c107e7158ad36

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=sha256:8fb89cea41b71e7d107612caf276a51339564f23a8a42448542a95376bf8582e

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=sha256:650aec7ae7ca8bd90dff1ba8342e39f5dfa0e8a96ccfb6de6e8eaf96accfe609

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:eb90a5bb92452c55349d6b86c71447272fdf343ba98f5201a9edd57cce620f41

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=sha256:554b426bb0dbb9f644f807ed83660c1ad10b8d322901edf7e43b3764b22fdc32

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=sha256:23b2b790089f2b431af89fd780f1ae52b8df6d183a86945756d21831c56ece0b

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=sha256:6dd12b08fe10291c5692235ae0496adfca8088b6a027bb171f9b248ac307dc9e

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=sha256:620181a58216f582d2c4e50c71e4114fffa8f3f98cab41ead7fec8ded909c53b

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=sha256:9750ff9b382649fe5300fb60359b6303bca2aa410975fc3e806ec3d71dc0a65d

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=sha256:399c10512712a28b1d70f29c6328e18a3f44fe6833fcff5bdc60b563d3ee1b8f

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:ddd21983530b088f6fa1480c8ddce4fa325f88f77a9a9ed102e7da5863e2eba5

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:a564b90fd512eb0fa01817ad7052cdb13502fb5922b3dbe01458b14c1489b43c

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=sha256:4d7ce04575019fc99654cb52e86712f1f658db5653ff300ee0d686e97b34ce11

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=sha256:8fe23cde93b4d032178ac8cefa9ad934067415c3b0ed5e06ce6163bdb70fab60

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:c2a33ab1ea24fb222fbd638f829035fdea19d4ed6a6d75e8d4d02e8b76a249c7

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=sha256:63cf2f9c0b5bede4be7db9193f5bce2c26634f1eea48bea803b08f1d3b319742

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:ef0cd9413885c3c793f88ca7d9b6805b303d52ac8fdff10732a3a84f85860618

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:fb8ccf01fbbdad44553a88c2e4d90bb06408312e91b683b588cc2d53f2809128

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:fe5fcc3bcb3d502f46b7806f67b62935fbe8bb06a624e0f8b1ea2aba0055b342

Pith citing papers

No inbound Pith citation observations are available.