Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T05:40:12.893554Z
Paper Citation Record · LEDGER
Homology, Hopf Algebras and Quantum Code Surgery
As of 7 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2508.01496.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-23T00:29:29.522530Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-23T00:32:18.352483Z
Reference resolution
30 of 30 outbound references displayed
- verified exact0
- verified fuzzy16
- unresolved12
- parse uncertain0
- malformed identifier2
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f0c56abe-55cb-451a-847e-7579da3a5a82 · outbound
This paper cites Let ACC be the category of abstract cubical complexes.
Homology, Hopf Algebras and Quantum Code Surgery Let ACC be the category of abstract cubical complexes
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.159941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dcd72e52-853f-4c0c-b08e-17a7ec2efc81 · outbound
This paper cites We now relate the above cell complexes to chain complexes by way of functors.
Homology, Hopf Algebras and Quantum Code Surgery We now relate the above cell complexes to chain complexes by way of functors
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.152674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4baaa16d-ef6b-415d-b513-de791bf0cc5d · outbound
This paper cites As a consequence the family of pushout graphs as m scales is not bounded above by a constant, and so the corresponding family of codes is not LDPC.
Homology, Hopf Algebras and Quantum Code Surgery As a consequence the family of pushout graphs as m scales is not bounded above by a constant, and so the corresponding family of codes is not LDPC
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.144702Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2ae3be86-b27c-4810-aef8-5c1368ca5892 · outbound
This paper cites (3) Next, if we have a quasi-Hopf algebra then S is antimultiplicative and hence θ =∗S defines an antimultiplicative antilinear map∗.
Homology, Hopf Algebras and Quantum Code Surgery (3) Next, if we have a quasi-Hopf algebra then S is antimultiplicative and hence θ =∗S defines an antimultiplicative antilinear map∗
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:12.933957Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 78ae09ee-1886-4dfc-9aaf-d83d874ab2a5 · outbound
This paper cites As a consequence, each patch has 2 logical qubits.
Homology, Hopf Algebras and Quantum Code Surgery As a consequence, each patch has 2 logical qubits
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.137018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 17de1c3b-296c-457c-92d2-2e82d18ef5a6 · outbound
This paper cites Let∂A :A1→A0 be a matrix over F2.
Homology, Hopf Algebras and Quantum Code Surgery Let∂A :A1→A0 be a matrix over F2
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.128416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bb392a29-fa10-416c-8719-a081d41f2b9b · outbound
This paper cites First, we have V• C• W• R• g• f• q• p• Giving R• = F9 2 F14 2 F4 2 ∂R• 2 ∂R• 1 with R2 = W2⊕C2, as V2 = 0.
Homology, Hopf Algebras and Quantum Code Surgery First, we have V• C• W• R• g• f• q• p• Giving R• = F9 2 F14 2 F4 2 ∂R• 2 ∂R• 1 with R2 = W2⊕C2, as V2 = 0
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.120853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 75bb10ff-9456-49fa-be17-e156eb3a208c · outbound
This paper cites For simplicity we assume thatf can yielddZ, theZ-distance, ordX, theX-distance, as desired, as this is what DistRandCSS can do [PSK22].
Homology, Hopf Algebras and Quantum Code Surgery For simplicity we assume thatf can yielddZ, theZ-distance, ordX, theX-distance, as desired, as this is what DistRandCSS can do [PSK22]
Reference 8
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T05:40:13.113119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 210faf33-b3fb-47cf-9d52-f390f64f33e0 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:13.105368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 069012af-c150-4c77-ad31-bc14aff60974 · outbound
This paper cites and it is possible that QDistRnd is giving an upper bound on distance which isn’t tight, which would lead to merges which appear more efficient than they are.
Homology, Hopf Algebras and Quantum Code Surgery and it is possible that QDistRnd is giving an upper bound on distance which isn’t tight, which would lead to merges which appear more efficient than they are
Reference 11
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T05:40:13.097741Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e120dd47-368d-4de3-996e-01ec8e9126cd · outbound
This paper cites The first row uses the method described in Section 3.2.3.
Homology, Hopf Algebras and Quantum Code Surgery The first row uses the method described in Section 3.2.3
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.090368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6f0dee6a-cfd4-4681-9c18-1cd68cc044b8 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:13.082938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c505fec1-0a5c-4920-9aea-a78bd748e0a0 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:13.075827Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1b23e852-7503-4e4e-b97d-d101b65bc693 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:13.068371Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e159f8a3-1c86-4497-8056-efa894c3581d · outbound
This paper cites 262 Appendix Clearly,S is invariant under change of orientation of γ.
Homology, Hopf Algebras and Quantum Code Surgery 262 Appendix Clearly,S is invariant under change of orientation of γ
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.060497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2ea12049-2710-4a51-bc93-2a33a03056aa · outbound
This paper cites By construction ofT , the group elementϵ(g) associated to ϵ is uniquely fixed by the group elements γu(g) and γv(g).
Homology, Hopf Algebras and Quantum Code Surgery By construction ofT , the group elementϵ(g) associated to ϵ is uniquely fixed by the group elements γu(g) and γv(g)
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.052039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 29d941f7-1e55-4c48-a483-0de00229a47f · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:13.043778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f2da6073-e611-4eff-8e40-20aa1e718985 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:13.035359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 78e7f7fd-9ff2-4e07-81da-802611de2309 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:13.028205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c1d02afb-454d-4836-9103-a9dd5d218c8d · outbound
This paper cites The antipodes included here are responsible for the antipodes in the CX gate in Section 5.2.1.
Homology, Hopf Algebras and Quantum Code Surgery The antipodes included here are responsible for the antipodes in the CX gate in Section 5.2.1
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.020202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 127fc0bd-0c2c-438e-9ce1-c68d4504ea7d · outbound
This paper cites We see that red and green spiders correspond to rough and smooth operations respectively.
Homology, Hopf Algebras and Quantum Code Surgery We see that red and green spiders correspond to rough and smooth operations respectively
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:13.011709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f65701e0-de18-47b7-a753-c199887f8b4f · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:13.003071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2f1a4247-255e-4e6a-823f-75c9ee218989 · outbound
This paper cites For the dual triangle operators, we have k′▷vi◦ X k Yr⊗δk τ∗ =Y (k′▷r)⊗δk τ∗ ◦k′▷vi again fori∈{ 1, 2} andk∈ CK.
Homology, Hopf Algebras and Quantum Code Surgery For the dual triangle operators, we have k′▷vi◦ X k Yr⊗δk τ∗ =Y (k′▷r)⊗δk τ∗ ◦k′▷vi again fori∈{ 1, 2} andk∈ CK
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:12.994873Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ca013973-6358-4dcf-bf1a-ccdbdd6faf9a · outbound
This paper cites The measurement outcome n informs which corrections to make.
Homology, Hopf Algebras and Quantum Code Surgery The measurement outcome n informs which corrections to make
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:12.986457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ba81403c-cf3c-422f-9c9e-e330486909fe · outbound
This paper cites There are no factors of π as the edges around each vertex already satisfy A(v)|ψ⟩ =|ψ⟩.
Homology, Hopf Algebras and Quantum Code Surgery There are no factors of π as the edges around each vertex already satisfy A(v)|ψ⟩ =|ψ⟩
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:12.977355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b9ac484d-b32b-427f-8d42-196400d60fe6 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:12.968408Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f772d361-22aa-4028-88b7-d399d8b31501 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:12.959663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bcad6571-11f4-47c7-9b28-5b69c7894301 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:12.950704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation feca1788-b649-4bae-973b-ff8af623f686 · outbound
This paper cites an unresolved cited work.
Homology, Hopf Algebras and Quantum Code Surgery Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:40:12.942313Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5a1d5142-9b91-4906-a212-276032339520 · outbound
This paper cites In this case τ(p,q )((x◁s)◁t) =τ(x▷s, (x◁s)▷t)((x◁s)◁t) = (x◁s·t)τ(s,t ) by the cocycle axiom.
Homology, Hopf Algebras and Quantum Code Surgery In this case τ(p,q )((x◁s)◁t) =τ(x▷s, (x◁s)▷t)((x◁s)◁t) = (x◁s·t)τ(s,t ) by the cocycle axiom
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:40:12.924403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
Observation e2fb41e5-f481-48d4-9aac-07301f2fcb9b · inbound
Parallel Logical Measurements via Quantum Code Surgery cites this paper.
Parallel Logical Measurements via Quantum Code Surgery Homology, Hopf Algebras and Quantum Code Surgery
Reference 79
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T00:32:18.355149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.