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Paper Citation Record · LEDGER

Explicit Lossless Vertex Expanders

As of 21 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2504.15087.

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

pith.paper-citation-record.v1
2504.15087 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:52:47.871451Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:19:48.387587Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T04:44:35.736046Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact1
  • verified fuzzy36
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0fc6fe14-ee81-4856-8ae2-ee643e6d01d3 · outbound

This paper cites Explicit unique-neighbor expanders.

Explicit Lossless Vertex Expanders Explicit unique-neighbor expanders

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.655963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.655963Z digest=sha256:e5324cd11b7e49203a1489b164094e147f0439b2f2942ee01ed42aa9a4240821

Observation 18482bca-715b-414d-89ba-17298ad0cb65 · outbound

This paper cites Bipartite unique-neighbour expanders via Ramanujan graphs.

Explicit Lossless Vertex Expanders Bipartite unique-neighbour expanders via Ramanujan graphs

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.660679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.660679Z digest=sha256:c14ed7baf612304362d07ce37ff74408909560c2b1049efe826d4ad2f3af1199

Observation aadd74f2-22c0-44e2-882c-aadf3599c8f4 · outbound

This paper cites an unresolved cited work.

Explicit Lossless Vertex Expanders Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.665382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.665382Z digest=sha256:32a5b8a8d6874ab89af224f3b55b341869b7bc8b3355b256d6c93d407b311886

Observation 3535d1ef-ea3b-4962-b8b0-1448f935b116 · outbound

This paper cites On-Line Algorithms for Path Selection in a Nonblocking Network.

Explicit Lossless Vertex Expanders On-Line Algorithms for Path Selection in a Nonblocking Network

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.546949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.670230Z digest=sha256:58c5af5d7e58ffeec9c8b4ae3a41a03219b2a4eae4dd70be867fad97f5816809

Observation a6709938-d48f-4038-ba7b-8dba7ee791a8 · outbound

This paper cites Random Cayley graphs and expanders.

Explicit Lossless Vertex Expanders Random Cayley graphs and expanders

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.533369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.674669Z digest=sha256:2acf562dc04a95ef63f0dfd8de365e7ef51ebe58a4346c426efd487461c0e941

Observation 041ebba0-01c5-49ae-a586-5c2169cd07ae · outbound

This paper cites Optimal construction of edge-disjoint paths in random graphs.

Explicit Lossless Vertex Expanders Optimal construction of edge-disjoint paths in random graphs

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.520454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.678976Z digest=sha256:3ecdcef5fd3b1c9e3dc719daebd2efcec425d7675645876258fbde6d7e7c83fa

Observation 82ddc268-c146-40ab-84f6-0017e4940cc7 · outbound

This paper cites Combining geometry and combinatorics: A unified approach to sparse signal recovery.

Explicit Lossless Vertex Expanders Combining geometry and combinatorics: A unified approach to sparse signal recovery

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.506887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.683606Z digest=sha256:99cd57255f44613ab929c161a858ed6857633d57ef5355c6c5a4bc2d35bc4cc4

Observation 7a731c06-d679-42e2-b5f8-8a5d0a3da686 · outbound

This paper cites Explicit bounds for primes in arithmetic progressions.

Explicit Lossless Vertex Expanders Explicit bounds for primes in arithmetic progressions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.492369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.687641Z digest=sha256:fef47aa85091379f785ccbd55cd57f6495ac565b8869b38caf0614847af0f4a6

Observation bf332ea0-99ed-41ee-b9be-0a675cd44362 · outbound

This paper cites Quasi-Linear Size PCPs with Small Soundness from HDX.

Explicit Lossless Vertex Expanders Quasi-Linear Size PCPs with Small Soundness from HDX

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.691653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.691653Z digest=sha256:9c90a1ad1f5d78a84495721b6261a861dcaf18ba35fa5e5b2e69640aeb9d039f

Observation 1323e31c-d7fc-4682-92fc-cb3bef2a3771 · outbound

This paper cites Tensor products of weakly smooth codes are robust.

Explicit Lossless Vertex Expanders Tensor products of weakly smooth codes are robust

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.478955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.696010Z digest=sha256:defcf5a789a993acb6aab963f1efe38193f4ef7714b48a29f7989851e505a770

Observation 2c5fb011-b32c-49cc-910f-dc182814dd2f · outbound

This paper cites Two-Sided Lossless Expanders in the Unbalanced Setting , 2024.

Explicit Lossless Vertex Expanders Two-Sided Lossless Expanders in the Unbalanced Setting , 2024

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.464812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.699818Z digest=sha256:5c512510a426c8e1c9e383b42e920a5dd60659289287f2941012737855dc7c32

Observation 436b29d1-3d61-45b4-8237-ae0bb14d1977 · outbound

This paper cites Unique-neighbor Expanders with Better Expansion for Polynomial-sized Sets.

Explicit Lossless Vertex Expanders Unique-neighbor Expanders with Better Expansion for Polynomial-sized Sets

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.450688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.703970Z digest=sha256:969626c1b5c93f58292e58ea4c0429e61425e010c830b7ff08bc539179437c92

Observation 68008d2a-c9b9-4b5e-a064-4a5ba84df820 · outbound

This paper cites HDX Condensers.

Explicit Lossless Vertex Expanders HDX Condensers

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.435554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.707793Z digest=sha256:ff4cd7d374b75456393834050c43d3d693405695ab5fa77bbca8ddb4cb213d4e

Observation 1ee521dc-5c10-4a7e-9a96-15ee8a45e132 · outbound

This paper cites Randomness conductors and constant-degree lossless expanders.

Explicit Lossless Vertex Expanders Randomness conductors and constant-degree lossless expanders

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.711556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.711556Z digest=sha256:855355a21e2a304b54bf53afa7111a604eb2c61eb87dbb2f962fdc10036c99c2

Observation 71c915e5-cd43-4411-b735-096b9c1b6509 · outbound

This paper cites On quaternions and octonions.

Explicit Lossless Vertex Expanders On quaternions and octonions

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.412817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.715541Z digest=sha256:3f9383f2cbed01ecfb30764765903b017aac19b339325b7c7610567f5478ea3d

Observation df4e6047-ee60-4b3f-ba6e-9b4ab85e2b16 · outbound

This paper cites Locally Testable Codes with constant rate, distance, and locality.

Explicit Lossless Vertex Expanders Locally Testable Codes with constant rate, distance, and locality

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.400173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.719418Z digest=sha256:5bca34ef527bb223ebb620add974a6b23ca43cb7e26db2ba4d5d62e7f5ce69aa

Observation bf70ad80-d645-46bc-8ca2-4e07eae6c515 · outbound

This paper cites Arithmetic of quaternions.

Explicit Lossless Vertex Expanders Arithmetic of quaternions

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.387016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.723084Z digest=sha256:8e6109edb82ae07552356b6b1837c10407864cdcc8e8e6c94afd86128bc001d3

Observation 5892bf04-4542-48e1-b41d-ad42d95811a9 · outbound

This paper cites Expanders and PCPs: Emergence from Local to Global.

Explicit Lossless Vertex Expanders Expanders and PCPs: Emergence from Local to Global

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.373407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.727048Z digest=sha256:b75c4bbf5ed60ebd71cfd664d744b1fcdf2a87e79b7e7f5ae18a8501cc4c57f1

Observation e12f5682-681b-42b0-a9ed-04a11bd5c5ae · outbound

This paper cites Expansion of High-Dimensional Cubical Complexes: with Application to Quantum Locally Testable Codes.

Explicit Lossless Vertex Expanders Expansion of High-Dimensional Cubical Complexes: with Application to Quantum Locally Testable Codes

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.358399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.731034Z digest=sha256:eb160070f04197d03fc9ee45e96c37037914df4fe15074b8001ff2ad4913e343

Observation ed272062-b662-4ae1-a077-edc112ef0947 · outbound

This paper cites Robust local testability of tensor products of LDPC codes.

Explicit Lossless Vertex Expanders Robust local testability of tensor products of LDPC codes

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.344480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.735165Z digest=sha256:3b64fc85e97fb95fb896f301e40f2f23a73aac39d757496071e8f7f3fe65777b

Observation 7d1bb192-2968-489e-855e-bc5b6e5f3ea0 · outbound

This paper cites Almost Euclidean subspaces of _1^N via expander codes.

Explicit Lossless Vertex Expanders Almost Euclidean subspaces of _1^N via expander codes

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.330836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.739128Z digest=sha256:6a9782a252ba7c4885494f58c31c4aacfdc089b566ad0b48721e2612b966f6a1

Observation ec419024-7233-4877-8bb4-e308850ad7cc · outbound

This paper cites _p -Spread and Restricted Isometry Properties of Sparse Random Matrices.

Explicit Lossless Vertex Expanders _p -Spread and Restricted Isometry Properties of Sparse Random Matrices

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.317205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.743243Z digest=sha256:f6185be2169144b57e3ae95cf0a70ab76eda50487219d92502e3a5f031bd0778

Observation 4806c33f-a03e-496d-a01a-3978408f0ef0 · outbound

This paper cites New explicit constant-degree lossless expanders.

Explicit Lossless Vertex Expanders New explicit constant-degree lossless expanders

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.303828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.747417Z digest=sha256:72b5c5ae2ad47bc0bd5e36bab623215ecfd01eb472f7f4a6f17f9bd1ebbf0b45

Observation d490e11a-09a0-4afb-b105-ea65e09b6bd7 · outbound

This paper cites Unbalanced expanders and randomness extractors from Parvaresh--Vardy codes.

Explicit Lossless Vertex Expanders Unbalanced expanders and randomness extractors from Parvaresh--Vardy codes

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.751437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.751437Z digest=sha256:b51f3438a2336fdd3dc4f09a7e8ec61a1829716b7ff4f757c52e81a4f8aa9bfe

Observation 2f2b88a0-3b14-41b4-b8e7-a35b763798d3 · outbound

This paper cites Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier.

Explicit Lossless Vertex Expanders Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.281107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.755420Z digest=sha256:764c19c7087920f03a3dbc5bd31cb4c1898060ffb9ab4d006c52b4df2e4f3bf2

Observation f9d61406-8006-4a85-abfd-d1aa0711f770 · outbound

This paper cites Expander graphs and their applications.

Explicit Lossless Vertex Expanders Expander graphs and their applications

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.759643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.759643Z digest=sha256:6b074ec4052d80817aa9380d3b40509a6dfee4cb8685829116cb5bfdc8c2ed69

Observation 03f1a96c-88de-491a-b624-1654bd1b1749 · outbound

This paper cites Explicit two-sided unique-neighbor expanders.

Explicit Lossless Vertex Expanders Explicit two-sided unique-neighbor expanders

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.763787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.763787Z digest=sha256:5d00944a6f9413f3f32eb4c478f2e386fea626f96f8bfae6e41297ed952321b8

Observation 67291cb7-63e1-4f13-b58f-ff84d50572a4 · outbound

This paper cites Monotone circuits for the majority function.

Explicit Lossless Vertex Expanders Monotone circuits for the majority function

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.249724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.768747Z digest=sha256:367ae95ad877a4bd4e195b6f8d7f84dff46a1bbe38f39d273268fb01b1c14962

Observation ca72e003-b432-4c2a-9abb-ed96424b7fa8 · outbound

This paper cites The Ramanujan property for regular cubical complexes.

Explicit Lossless Vertex Expanders The Ramanujan property for regular cubical complexes

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.236080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.772910Z digest=sha256:633da38fd51a5f309d123b6bb375b4c25cd77f4219e4b96e34aa7d8d0866ebb5

Observation 57945f35-cb22-4f76-b372-551bd951154b · outbound

This paper cites Explicit Abelian Lifts and Quantum LDPC Codes.

Explicit Lossless Vertex Expanders Explicit Abelian Lifts and Quantum LDPC Codes

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.222409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.776903Z digest=sha256:d7241bb3c1bee32c9ba47eb536f0914e5f5626af7e811732999b8b80725a882e

Observation aeb17781-ebfa-4433-89a3-6f45c5dd011e · outbound

This paper cites Eigenvalues and expansion of regular graphs.

Explicit Lossless Vertex Expanders Eigenvalues and expansion of regular graphs

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.780857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.780857Z digest=sha256:fa488e4d8b69a5cabb4ada341e472bad3184b44fefa6781dc3cc851b18db5cdb

Observation a393f06b-0cd2-446f-8f85-1c16307034a3 · outbound

This paper cites Deterministic construction of a high dimensional _p section in _1^n for any p < 2.

Explicit Lossless Vertex Expanders Deterministic construction of a high dimensional _p section in _1^n for any p < 2

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.200403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.784749Z digest=sha256:dce6e7d77af685e088734387c725ddf45f2f71d2da3eb1a1b9e3033319d38259

Observation c62af958-9474-4c2f-b501-6aba29992044 · outbound

This paper cites Combinatorics via closed orbits: number theoretic Ramanujan graphs are not unique neighbor expanders.

Explicit Lossless Vertex Expanders Combinatorics via closed orbits: number theoretic Ramanujan graphs are not unique neighbor expanders

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.788645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.788645Z digest=sha256:8b9294063c1eeab7318b1de444a66b3509ace8da799b51d39e7ee050c07a78dc

Observation 2491fb41-a14f-4f93-b162-316d577a9784 · outbound

This paper cites Simple Constructions of Unique Neighbor Expanders from Error-correcting Codes.

Explicit Lossless Vertex Expanders Simple Constructions of Unique Neighbor Expanders from Error-correcting Codes

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:52:47.926275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.792573Z digest=sha256:aa5278dcc45a71bb68ff081c7579423a52d978b6806f7d4a6ccd1866df597b79

Observation 58c4f2d8-a26c-4936-8da8-1b72a01dbce7 · outbound

This paper cites Unbalanced Expanders from Multiplicity Codes.

Explicit Lossless Vertex Expanders Unbalanced Expanders from Multiplicity Codes

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.177596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.797192Z digest=sha256:83ccca39f3b1a62ab692c1246ffdfd190778df30265f683b9fba61f2b895ddb5

Observation f06364df-214a-4c6f-9b01-212de5a7e949 · outbound

This paper cites Computational hardness of detecting graph lifts and certifying lift-monotone properties of random regular graphs.

Explicit Lossless Vertex Expanders Computational hardness of detecting graph lifts and certifying lift-monotone properties of random regular graphs

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.163598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.801400Z digest=sha256:34219294bff2199beb5d2382358f9b7ab5ecdfe11ffd6b5a1477224ce013ab8a

Observation c5b97622-91ea-43bc-b8b6-e2f4f1b1081b · outbound

This paper cites c^3 -Locally Testable Codes from Lossless Expanders.

Explicit Lossless Vertex Expanders c^3 -Locally Testable Codes from Lossless Expanders

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.149647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.805391Z digest=sha256:8b4390c1d7d9552452eac8bad18dd0ea24af72d114b9ab63a0fbee2cefc20534

Observation 155ffa88-37f7-4087-815d-504e3a36af5d · outbound

This paper cites Good quantum LDPC codes with linear time decoder from lossless expanders.

Explicit Lossless Vertex Expanders Good quantum LDPC codes with linear time decoder from lossless expanders

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.809430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.809430Z digest=sha256:ccaccd4dfae391a1bc985d949dab878f093f64a141f1f7be246f39fcf528c697

Observation c21c3e53-5db9-43b8-8880-71c2cf3fd58d · outbound

This paper cites Ramanujan graphs.

Explicit Lossless Vertex Expanders Ramanujan graphs

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.135869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.813853Z digest=sha256:2f564e657bc6093b94ab915dcaf7a1d12bc3caeaccfda881fc0bf0e2d275eaf9

Observation a3843dcb-ef86-4b13-b701-70356fdf667c · outbound

This paper cites Explicit constructions of R amanujan complexes of type A _d.

Explicit Lossless Vertex Expanders Explicit constructions of R amanujan complexes of type A _d

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.818034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.818034Z digest=sha256:0eaad90d7089d8364b25bee3c61fad7b3dce1e9ce756250e307bba840feb2bdd

Observation 0a7be38d-2738-4234-9a82-902324b6bc7c · outbound

This paper cites Ramanujan complexes of type A _d.

Explicit Lossless Vertex Expanders Ramanujan complexes of type A _d

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.822130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.822130Z digest=sha256:3028d7f04834d9ab0b7b7bbd1a9b7f397b4070210086c0536df7f7b3ad275578

Observation fbf49c9d-7a7c-4bb6-9434-3b13f03f66a8 · outbound

This paper cites Discrete groups, expanding graphs and invariant measures , volume 125.

Explicit Lossless Vertex Expanders Discrete groups, expanding graphs and invariant measures , volume 125

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.826060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.826060Z digest=sha256:5133590ad76575b32d9e5dc9780561ab543f8ec7956f0402ebcf0960fd4ef031

Observation b2438ec6-f224-42fa-9118-124b4cd09e06 · outbound

This paper cites An inequality related to the isoperimetric inequality.

Explicit Lossless Vertex Expanders An inequality related to the isoperimetric inequality

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.096030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.830265Z digest=sha256:2467e12c36a16377d67ec9068247e3eb0b67808a94aa85e1a16808e0b92ea0bb

Observation 58807a8d-c521-4864-a560-e34dd929bfe6 · outbound

This paper cites High-Girth Near-Ramanujan Graphs with Lossy Vertex Expansion.

Explicit Lossless Vertex Expanders High-Girth Near-Ramanujan Graphs with Lossy Vertex Expansion

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.082381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.834494Z digest=sha256:ddd39a7216468093ddf939cf4037ca84eac13375112cf58e087c28c2b0313eef

Observation ebde9915-4ae3-4dc4-89dc-efe35b127bd0 · outbound

This paper cites Existence and explicit constructions of q+1 regular R amanujan graphs for every prime power q.

Explicit Lossless Vertex Expanders Existence and explicit constructions of q+1 regular R amanujan graphs for every prime power q

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.838652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.838652Z digest=sha256:67faf54654963df897bcea312f15e5436ffe7982976ce92fee4daf4b3c4834ad

Observation 8de51eae-18b3-4a64-baf2-260a68e9bad3 · outbound

This paper cites On the arithmetic of quaternions.

Explicit Lossless Vertex Expanders On the arithmetic of quaternions

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.058690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.842697Z digest=sha256:d7380dd38392dd6797c8fb931489808316ad7b473846c4ca80ce2522d99eb5ab

Observation c25dc09d-dfa0-466f-805f-cd760a923745 · outbound

This paper cites Self-routing superconcentrators.

Explicit Lossless Vertex Expanders Self-routing superconcentrators

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.045106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.846655Z digest=sha256:fa4321474b83e32f41afa11c5e8010952c78a44596b9df49813c9721528fb230

Observation 3ac4e15d-6123-4203-8420-5bc99b3882f4 · outbound

This paper cites Asymptotically good quantum and locally testable classical LDPC codes.

Explicit Lossless Vertex Expanders Asymptotically good quantum and locally testable classical LDPC codes

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.031209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.850791Z digest=sha256:8563adfc8f5bfb6bd3bd85197ddf3d057b299a86cab21e9065070c07a06263a0

Observation 29904757-4959-4ecf-b22c-e8f7dc0fef81 · outbound

This paper cites Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes.

Explicit Lossless Vertex Expanders Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.017694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.854867Z digest=sha256:51d5c4ca3e43e3dcda01b6c410b8398c003f22fcb0bc7d7565cd33371eee4d79

Observation c2a76b0b-6d9b-47a5-a06f-c0b8e6cda59e · outbound

This paper cites Theory at the Institute and Beyond, February 2025.

Explicit Lossless Vertex Expanders Theory at the Institute and Beyond, February 2025

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:48.003991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.859139Z digest=sha256:7872e3bd3f448fa71fb4e5eb0f06c2c52fc169c582df23a898f605c5d398ea5b

Observation 9465736f-716b-4d18-8bae-cb5b5e483d96 · outbound

This paper cites Expander codes.

Explicit Lossless Vertex Expanders Expander codes

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-16T11:52:47.863225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:52:47.863225Z digest=sha256:0930143f657f3e0c16c5dd0a3854b21f8232a3af5a7f3f48f079cf46967feef4

Observation 12288a61-68f9-4a69-a5d3-0135fb479b97 · outbound

This paper cites Lossless condensers, unbalanced expanders, and extractors.

Explicit Lossless Vertex Expanders Lossless condensers, unbalanced expanders, and extractors

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:47.982368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.867526Z digest=sha256:c10c429abf141eba346f8b658b32b2b54e142733d881a43a66cc017c1c81d102

Observation cb8d650d-9299-44dc-ae85-846107144ecc · outbound

This paper cites Linear-time decoding of regular expander codes.

Explicit Lossless Vertex Expanders Linear-time decoding of regular expander codes

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:52:47.968388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:52:47.871451Z digest=sha256:7728c69f580a3d2b1ec6eb3e47f6c9ab0de834eb6bbcd68296a81402799cb8b5

Pith citing papers

Observation 60fcb480-ec62-46f8-9964-b511f5abd51a · inbound

Discrete Poincar\'e inequalities and universal approximators for random graphs cites this paper.

Discrete Poincar\'e inequalities and universal approximators for random graphs Explicit Lossless Vertex Expanders

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:48.387587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:19:48.387587Z digest=sha256:fa167a65e2fd6b70c48d7dbdc5a4302e5d9b747915b132130f994ef2434911f2

Observation ae7a083d-41cd-499d-a261-8cfbf6d2f13e · inbound

A Simple Sub-Polynomial Degree Coboundary Expander cites this paper.

A Simple Sub-Polynomial Degree Coboundary Expander Explicit Lossless Vertex Expanders

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-22T04:44:35.738364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-22T04:42:06.997854Z digest=sha256:c7f968cef158e59530e2ff9785d0c470ff1b2aa7dfaa1bef70a0ede666221238