Paper Citation Record · LEDGER

Lower-depth local encoding circuits for the surface code

As of 21 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2509.09779.

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

pith.paper-citation-record.v1
2509.09779 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:09:34.148369Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T11:36:07.793957Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T12:13:27.404074Z

Reference resolution

19 of 19 outbound references displayed

verified exact2
verified fuzzy5
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf6cdc3f-1328-4ff8-a00b-a15fc5dc749d · outbound

This paper cites Quantum codes on a lattice with boundary.

Lower-depth local encoding circuits for the surface code Quantum codes on a lattice with boundary

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.025612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64f81d49-4736-4bbc-b1ea-9189f0887c2a · outbound

This paper cites Dennis, A.

Lower-depth local encoding circuits for the surface code Dennis, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.031232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c38e97c9-0192-454e-bdd7-437876060930 · outbound

This paper cites an unresolved cited work.

Lower-depth local encoding circuits for the surface code Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.035721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c961852b-7f6c-47a4-a514-298c1efc8d64 · outbound

This paper cites an unresolved cited work.

Lower-depth local encoding circuits for the surface code Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.039601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7523e5ba-6c4d-401b-8394-cf66d942cf21 · outbound

This paper cites an unresolved cited work.

Lower-depth local encoding circuits for the surface code Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.045616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56a83b78-2901-429c-9022-4c7d44f1c28d · outbound

This paper cites Magic state cultivation: growing T states as cheap as CNOT gates.

Lower-depth local encoding circuits for the surface code Magic state cultivation: growing T states as cheap as CNOT gates

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.054129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26f8786e-66fc-4e7f-985d-a87764e56588 · outbound

This paper cites Claes, Cultivating|T⟩states on the surface code with only two-qubit gates (2025), arXiv:2509.05232 [quant- ph].

Lower-depth local encoding circuits for the surface code Claes, Cultivating|T⟩states on the surface code with only two-qubit gates (2025), arXiv:2509.05232 [quant- ph]

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.058922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 513d0bc9-a036-48f3-8dc1-e897c303c5ee · outbound

This paper cites Sahay, P.-K.

Lower-depth local encoding circuits for the surface code Sahay, P.-K

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.064333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73987cbe-a294-4fbe-a7e7-0b78c1aeb79d · outbound

This paper cites Vaknin, S.

Lower-depth local encoding circuits for the surface code Vaknin, S

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.070077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da9a6614-b53f-42a3-bfe8-2be004ac6730 · outbound

This paper cites Bluvstein, S.

Lower-depth local encoding circuits for the surface code Bluvstein, S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.079026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8726044-4b02-41e2-8da8-e00241694354 · outbound

This paper cites an unresolved cited work.

Lower-depth local encoding circuits for the surface code Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.083798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c71a6183-0d0d-40bc-84c1-b3e26cb304b0 · outbound

This paper cites Realizing topologically ordered states on a quantum processor.

Lower-depth local encoding circuits for the surface code Realizing topologically ordered states on a quantum processor

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:34.095601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fdfc86b-65fe-4f24-9901-c5d40e542fcb · outbound

This paper cites Bravyi, M.

Lower-depth local encoding circuits for the surface code Bravyi, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:09:34.827782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 58641bc0-c189-4c73-9ebd-a08cfb8bea19 · outbound

This paper cites Vidal, Class of quantum many-body states that can be efficiently simulated, Physical Review Letters101, 110501 (2008).

Lower-depth local encoding circuits for the surface code Vidal, Class of quantum many-body states that can be efficiently simulated, Physical Review Letters101, 110501 (2008)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:09:34.808940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a5375c48-456d-402a-8705-da0fef642e46 · outbound

This paper cites Aguado and G.

Lower-depth local encoding circuits for the surface code Aguado and G

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:09:34.786149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6120d13a-eb4f-40f6-bbf5-ec27772d608d · outbound

This paper cites Liao and D.

Lower-depth local encoding circuits for the surface code Liao and D

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:09:34.767050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8157d093-fea0-494e-8a8a-e30638faee19 · outbound

This paper cites A Unitary Encoder for Surface Codes.

Lower-depth local encoding circuits for the surface code A Unitary Encoder for Surface Codes

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:09:34.251478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 73832493-f6b9-4d9b-b8f0-2b62844e10f0 · outbound

This paper cites Higgott, M.

Lower-depth local encoding circuits for the surface code Higgott, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:09:34.750783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3ae64529-92e5-4093-b91f-0de9d50adcbd · outbound

This paper cites Quantum circuits for toric code and X-cube fracton model.

Lower-depth local encoding circuits for the surface code Quantum circuits for toric code and X-cube fracton model

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:09:34.215305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation eae69810-6786-4d28-baf4-730ebbaebcdb · inbound

Hardware-Tailored Resource Estimation for Magic-State Distillation on Silicon Spin Qubits cites this paper.

Hardware-Tailored Resource Estimation for Magic-State Distillation on Silicon Spin Qubits Lower-depth local encoding circuits for the surface code

Reference 193

Resolution: verified exact; arxiv_id, observed 2026-06-29T12:13:27.405650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.