Pith. sign in

Paper Citation Record · LEDGER

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier

As of 21 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2411.11627.

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

pith.paper-citation-record.v1
2411.11627 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:28:47.098659Z

measured 31 of 31 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 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 exact3
  • verified fuzzy25
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9988f68c-1243-4e18-9535-8d2390f715c0 · outbound

This paper cites Explicit unique-neighbor expanders.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Explicit unique-neighbor expanders

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:49.051482Z

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=2026-08-12T18:28:46.260662Z digest=sha256:aeac18c726be6e6f10faeff953aaaf5026a9bf1f20105c9c210bd5cd2023cb21

Observation 9d29633e-cf01-443b-aa84-b9e40391df16 · outbound

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

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Bipartite unique-neighbour expanders via Ramanujan graphs

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:28:47.455675Z

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=2026-08-12T18:28:46.266539Z digest=sha256:988a99b0398d2d0c199b5c1651f29009aaaab3112f211b4979a2509807b88821

Observation ba946b70-16a6-4d45-b3ec-71e1d3d8cd67 · outbound

This paper cites Log-concave polynomials II : high-dimensional walks and an FPRAS for counting bases of a matroid.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Log-concave polynomials II : high-dimensional walks and an FPRAS for counting bases of a matroid

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:49.002191Z

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=2026-08-12T18:28:46.272017Z digest=sha256:51b910983f368cf3fd20f0a37712b838cf1bb50d92611565e5be3f948b093016

Observation af987cd6-eda3-4010-92a4-74391b1cef4c · outbound

This paper cites Ramanujan type buildings.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Ramanujan type buildings

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.886688Z

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=2026-08-12T18:28:46.276560Z digest=sha256:262cc814b3ee6f762713ad98c18fff43dd961ca6acc9ba7b3640678274174928

Observation e79276e7-d675-4697-8ebb-d0e6f28d0689 · outbound

This paper cites Two-sided lossless expanders in the unbalanced setting, 2024.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Two-sided lossless expanders in the unbalanced setting, 2024

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.869433Z

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=2026-08-12T18:28:46.362400Z digest=sha256:ce5a074d4517bc035248b4f7a9d21bb350f346fe0a7e1feab7b356686dbb3319

Observation a58dad93-899d-4064-973b-959935a9ee5c · outbound

This paper cites Unique-neighbor expanders with better expansion for polynomial-sized sets, 2024.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Unique-neighbor expanders with better expansion for polynomial-sized sets, 2024

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.750116Z

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=2026-08-12T18:28:46.471891Z digest=sha256:2ee941574a49dbf5720f61dd4605ff97b1a3c9ff82af05e95531610bf33ce7fc

Observation 0475f651-0bbf-48f0-8b6e-fe7e86590fbd · outbound

This paper cites Hdx condensers.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Hdx condensers

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.698165Z

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=2026-08-12T18:28:46.556341Z digest=sha256:33afa8d8beec176bd9f4e07f969bfaae62f2fc8b426949257bf1cb9a53e37c6e

Observation 2e421563-1512-4289-b8b0-e0c506b5eed6 · outbound

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

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Randomness conductors and constant-degree lossless expanders

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.677653Z

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=2026-08-12T18:28:46.561144Z digest=sha256:9efba21d3476faf695e536195fc12f4c1633402517a332816527f4a021e79022

Observation 7ee4f8ef-120f-4b30-a93c-541d33ee39ec · outbound

This paper cites an unresolved cited work.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:28:48.546661Z

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=2026-08-12T18:28:46.570171Z digest=sha256:e8d4e5c3e96239f67a7efca51bc4933d41085cca11dd7a29450c66590271ad4d

Observation 1b4cd0c0-c859-40fe-b0b2-1496bfb16d1f · outbound

This paper cites Chernoff Bounds and Reverse Hypercontractivity on HDX.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Chernoff Bounds and Reverse Hypercontractivity on HDX

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:28:47.354076Z

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=2026-08-12T18:28:46.580096Z digest=sha256:f9dc3c135413692b3fbf02c1b627f90ebbaf9c1abebe3b555a8a4f59de703900

Observation db440f75-5eec-4377-844e-ecd8473e06e1 · outbound

This paper cites Eigenstripping, Spectral Decay, and Edge-Expansion on Posets.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Eigenstripping, Spectral Decay, and Edge-Expansion on Posets

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.483817Z

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=2026-08-12T18:28:46.588115Z digest=sha256:836a630597b6d5d532e2f4ae418ee921b0bcbcd43dca08ed042ef6d93bbf99c1

Observation 26279ef9-2cc2-40d1-a300-3e96322f7032 · outbound

This paper cites New Explicit Constant-Degree Lossless Expanders.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier New Explicit Constant-Degree Lossless Expanders

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T18:28:46.593243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T18:28:46.593243Z digest=sha256:e1e525b1c6e946a0d8a73c4b21797347af2628867900fe3c12c3fc6c7a5f2c45

Observation ac2d9e14-feb5-409a-8614-8c29298e8be3 · outbound

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

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Unbalanced expanders and randomness extractors from Parvaresh--Vardy codes

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.464536Z

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=2026-08-12T18:28:46.598268Z digest=sha256:81f804550dd5ff4e6c840f9419a364a7d4213a08d3d82b592bf5a32ba42c45c9

Observation 6c46b07f-48f4-436b-a5ea-0d13628edc1d · outbound

This paper cites Explicit lower bounds against (n)-rounds of sum-of-squares.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Explicit lower bounds against (n)-rounds of sum-of-squares

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.310027Z

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=2026-08-12T18:28:46.602713Z digest=sha256:b81c4f3e4048441a6a7b53417cd6960b94197069f5b6c1dc6cd086bddf719b43

Observation abf6ce3e-c765-4ddf-bf6f-4ac7de90c01e · outbound

This paper cites Expander graphs and their applications.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Expander graphs and their applications

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.294919Z

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=2026-08-12T18:28:46.699043Z digest=sha256:cc14a24412c907b8734bdb7ca99e8521eb43c690377e2a2e6ed2700f61de4dbe

Observation d6c6ff0d-e276-49d9-8b31-8d47748fcb82 · outbound

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

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Explicit two-sided unique-neighbor expanders

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.241270Z

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=2026-08-12T18:28:46.771998Z digest=sha256:f026d435b80d33d86d7ad49a6e981e4ac00c3312a8fee1d5b36d62e12e378d23

Observation 32c95b43-6f15-4b61-b2cc-0247f1fbfdba · outbound

This paper cites Eigenvalues and expansion of regular graphs.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Eigenvalues and expansion of regular graphs

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.123627Z

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=2026-08-12T18:28:46.775832Z digest=sha256:093b666ea70560bd8f8600ec16181d057d2ee795919bb6f600595087e3357ead

Observation 0e00c851-0c91-4715-8c0d-7c243db246c5 · outbound

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

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Combinatorics via closed orbits: number theoretic Ramanujan graphs are not unique neighbor expanders

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.106765Z

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=2026-08-12T18:28:46.780226Z digest=sha256:5ee1fa166dd2a14c126130901eaaedf89bef8423b7da50c7575edffe43802297

Observation f3748204-9fc1-4567-b665-05e6953f123d · outbound

This paper cites Simple constructions of unique neighbor expanders from error-correcting codes, 2024.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Simple constructions of unique neighbor expanders from error-correcting codes, 2024

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:48.063373Z

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=2026-08-12T18:28:46.784478Z digest=sha256:b47dc6227be99ca523410ad179153c93acc55bbfe0f5c12fa4eceefe45f1a03d

Observation e19a4236-c749-43af-8240-a70aa78b2f02 · outbound

This paper cites High-rate codes with sublinear-time decoding.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier High-rate codes with sublinear-time decoding

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.939683Z

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=2026-08-12T18:28:46.791023Z digest=sha256:d13a73f74efae4ef7423d179c16c57370964af9c78b64c73933b61ea50e2f4f8

Observation 2be0f3a0-d125-4458-aac3-b9530f7079f4 · outbound

This paper cites Unbalanced Expanders from Multiplicity Codes.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Unbalanced Expanders from Multiplicity Codes

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.897363Z

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=2026-08-12T18:28:46.798063Z digest=sha256:3dd3e0cf0d65b01d195e1d9529d7bf2816e1d41d423102d9f06ef92c02a5d94d

Observation b364301e-eac6-4651-b50c-93381852839f · outbound

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

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Computational hardness of detecting graph lifts and certifying lift-monotone properties of random regular graphs

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:28:47.321130Z

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=2026-08-12T18:28:46.802669Z digest=sha256:d8bb7d8ab8b7212a80dc4ad0660e1b48f0462fc01847764aa7df88bedfd64a3f

Observation 3daf7b87-1450-4c2e-9f76-814438736ef2 · outbound

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

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Good quantum LDPC codes with linear time decoder from lossless expanders

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-12T18:28:46.938931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T18:28:46.938931Z digest=sha256:1cec5cdf807a799c4fe30134a55afdc9106fd4fd2a82f2bd9fa1211354b3500d

Observation 52bf48ca-9306-4702-8b68-55d750aea14a · outbound

This paper cites Ramanujan hypergraphs.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Ramanujan hypergraphs

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.881910Z

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=2026-08-12T18:28:47.064682Z digest=sha256:774990ad228437a83ec798d639d1d823ba02c2adf7f4f3db67ab63bb6948dc91

Observation 3c4c4e0b-993d-4154-9ea8-bb037dca8a44 · outbound

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

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Explicit constructions of R amanujan complexes of type A _d

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.811743Z

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=2026-08-12T18:28:47.069209Z digest=sha256:3ba0aa4d5549ad0ee134afe53b428678ce675ebeb1c0d03e22071899c8e68426

Observation 1321c340-e7d7-41ee-a78f-262b936c4c12 · outbound

This paper cites Ramanujan complexes of type A _d.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Ramanujan complexes of type A _d

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.692986Z

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=2026-08-12T18:28:47.073429Z digest=sha256:d71b5ac9027e1abcf8ab219a504e67e9eae391cb7a849d2541c369606aac6dbb

Observation 4fe95a96-7c6e-4d1f-9a82-c409df8ea9b6 · outbound

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

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Existence and explicit constructions of q+1 regular R amanujan graphs for every prime power q

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.673124Z

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=2026-08-12T18:28:47.078438Z digest=sha256:00a43a7d7ef7ffa264e3879c9e3d662409c3d171141b6aa2826a92c02a2bbfeb

Observation 78256b5c-101c-468f-ba04-64f8050c4dea · outbound

This paper cites Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.657879Z

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=2026-08-12T18:28:47.084086Z digest=sha256:1280a9d8940a38e45b589074d8e5f9a1ab67426d1120ebe705f6c7991abdb3c6

Observation b9841f7f-775e-4591-9693-1b16a1827b00 · outbound

This paper cites Ramanujan Hypergraph Based on B ruhat-- T its Building.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Ramanujan Hypergraph Based on B ruhat-- T its Building

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.561773Z

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=2026-08-12T18:28:47.089350Z digest=sha256:64b3b655db6f1267388c3e02b44ccc05b7ac16ed53348f9d6dbeef0894184c88

Observation b8b6c0a3-5cad-47a5-b59a-ad5744833d65 · outbound

This paper cites Expander codes.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Expander codes

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.547393Z

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=2026-08-12T18:28:47.094521Z digest=sha256:dcda20828179930fd4eaf9ff3af386db070d19300e36470461028ad62aa1090f

Observation 7c560b95-9a23-479f-9408-57ed30715b18 · outbound

This paper cites Loss-less condensers, unbalanced expanders, and extractors.

Explicit Two-Sided Vertex Expanders Beyond the Spectral Barrier Loss-less condensers, unbalanced expanders, and extractors

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:28:47.532903Z

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=2026-08-12T18:28:47.098659Z digest=sha256:d0908b6091fbaf0323582ae2b98b9e462021ccfb86a606345133e6daeb4b77dc

Pith citing papers

No inbound Pith citation observations are available.