Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-03T19:54:50.533265Z
Paper Citation Record · LEDGER
Sharp Lower Bounds for Sumsets in Hypercubes
As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.01458.
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 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact4
- verified fuzzy15
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 460871f2-18ba-4a2c-bdf4-6b0938ce2fd9 · outbound
This paper cites Becker, P.
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.252312Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dbde6a93-b8c4-422d-8372-7843d8929cf7 · outbound
This paper cites On sharp isoperimetric inequalities on the hypercube.
Sharp Lower Bounds for Sumsets in Hypercubes On sharp isoperimetric inequalities on the hypercube
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T19:58:53.615358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9b07750b-2754-4324-97cd-23b451575919 · outbound
This paper cites an unresolved cited work.
Sharp Lower Bounds for Sumsets in Hypercubes Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T02:50:41.215362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5439d57b-81f1-4427-8b1a-723f6723f8dc · outbound
This paper cites an unresolved cited work.
Sharp Lower Bounds for Sumsets in Hypercubes Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T02:50:41.254447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3bb2d664-2841-4d28-80b4-3aee33d331ae · outbound
This paper cites 1, 87–94.
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.203646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a6554b96-e886-4a9e-b452-9feb34b27069 · outbound
This paper cites an unresolved cited work.
Sharp Lower Bounds for Sumsets in Hypercubes Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T02:50:41.228425Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8a6290a0-33dc-4f5d-b47c-4a6c01a91dad · outbound
This paper cites de Dios, R.
Sharp Lower Bounds for Sumsets in Hypercubes de Dios, R
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.262489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 26c64dad-8edc-4221-b262-e029edfd9497 · outbound
This paper cites Fradelizi and O.
Sharp Lower Bounds for Sumsets in Hypercubes Fradelizi and O
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.233723Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fe4e0df9-4711-4adf-a9ba-8bf55f1e4c25 · outbound
This paper cites an unresolved cited work.
Sharp Lower Bounds for Sumsets in Hypercubes Unresolved cited work
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T19:58:53.612135Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ff8f158e-ca97-4bf7-8d45-793afb57c261 · outbound
This paper cites Waring's problem with restricted digits.
Sharp Lower Bounds for Sumsets in Hypercubes Waring's problem with restricted digits
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T19:58:53.615481Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ae673710-e2bc-44d6-bb6b-c15e73902d57 · outbound
This paper cites Green and T.
Sharp Lower Bounds for Sumsets in Hypercubes Green and T
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.210207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 404e7649-f8fa-40f8-8cb0-55bee0c47b08 · outbound
This paper cites 3, 205–214.
Sharp Lower Bounds for Sumsets in Hypercubes 3, 205–214
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.237068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 47dde07a-6c15-44bf-8dc4-b921184f8b16 · outbound
This paper cites Bellman partial differential equation and the hill property for classical isoperimetric problems.
Sharp Lower Bounds for Sumsets in Hypercubes Bellman partial differential equation and the hill property for classical isoperimetric problems
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T19:58:53.618408Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0d81d28d-ddd4-4625-a7db-83217a18fdc0 · outbound
This paper cites an unresolved cited work.
Sharp Lower Bounds for Sumsets in Hypercubes Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T02:50:41.260221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4dccc581-c995-45a3-8b29-2e70951f078c · outbound
This paper cites Kane and T.
Sharp Lower Bounds for Sumsets in Hypercubes Kane and T
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.225152Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 822487c3-46bf-4d80-8672-2801438915cc · outbound
This paper cites an unresolved cited work.
Sharp Lower Bounds for Sumsets in Hypercubes Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T02:50:41.250183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0a8b390c-1a4a-4eef-8b0f-e305a5d24984 · outbound
This paper cites Madiman, P.
Sharp Lower Bounds for Sumsets in Hypercubes Madiman, P
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.220250Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 68ac9594-69ea-42f8-bd0b-e7ae843b818e · outbound
This paper cites Matolcsi, I.
Sharp Lower Bounds for Sumsets in Hypercubes Matolcsi, I
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.243180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e85e9901-a0f5-4e3d-a6e5-7876760a9640 · outbound
This paper cites Melbourne, P.
Sharp Lower Bounds for Sumsets in Hypercubes Melbourne, P
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.207231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 430b5251-ee73-46ff-896c-9b65d2e7ced6 · outbound
This paper cites 2, Teubner, Leipzig-Berlin, 1911, pp.
Sharp Lower Bounds for Sumsets in Hypercubes 2, Teubner, Leipzig-Berlin, 1911, pp
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.257422Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 13bfea5d-edcd-4d65-a942-825c58a8a0b8 · outbound
This paper cites Páles, Inequalities for differences of powers, J.
Sharp Lower Bounds for Sumsets in Hypercubes Páles, Inequalities for differences of powers, J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.264180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ecfc4f52-0d1a-4562-8949-e5833c9781ee · outbound
This paper cites Romik, The surprising mathematics of longest increasing subsequences, Cambridge University Press, Cambridge, 2015.
Sharp Lower Bounds for Sumsets in Hypercubes Romik, The surprising mathematics of longest increasing subsequences, Cambridge University Press, Cambridge, 2015
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.248000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f1b6bccd-f2b6-4bd5-ada5-d6eaf99c0d79 · outbound
This paper cites an unresolved cited work.
Sharp Lower Bounds for Sumsets in Hypercubes Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T02:50:41.240084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation eff4824e-5519-44b8-b87b-2bd9fcbdf5cd · outbound
This paper cites A 31 (1981), no.
Sharp Lower Bounds for Sumsets in Hypercubes A 31 (1981), no
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.212914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6a68c5cc-d5c4-4de6-b32d-d39bc7a7f31f · outbound
This paper cites Tao and V.
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T02:50:41.217486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b84d773d-1706-4f77-b4f5-080bfb957bbd · outbound
This paper cites an unresolved cited work.
Sharp Lower Bounds for Sumsets in Hypercubes Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T02:50:41.231109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
No inbound Pith citation observations are available.