Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:53:42.331352Z
Paper Citation Record · LEDGER
Bisector energy and pinned distances in positive characteristic
As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.04618.
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 2026-08-16T06:30:59.297886+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
31 of 31 outbound references displayed
- verified exact3
- verified fuzzy23
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d70eb653-66c8-4962-99fc-0be442c6ec93 · outbound
This paper cites Aksoy-Yazici, B.
Bisector energy and pinned distances in positive characteristic Aksoy-Yazici, B
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.660674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0ad5448a-9603-4812-bcfe-bfd33c75eee5 · outbound
This paper cites Bennett, D.
Bisector energy and pinned distances in positive characteristic Bennett, D
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.620516Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 91850a63-561e-4ea8-9c4f-bca77e5f6d89 · outbound
This paper cites Blaschke , Kinematik und quaternionen , vol.
Bisector energy and pinned distances in positive characteristic Blaschke , Kinematik und quaternionen , vol
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.577298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0bf6ab44-b4f0-4fd1-83a4-89f9321f1a1b · outbound
This paper cites Bottema and B.
Bisector energy and pinned distances in positive characteristic Bottema and B
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.533842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c63b714d-a877-41b5-aed8-459ae18810f2 · outbound
This paper cites Bourgain , More on the sum-product phenomenon in prime fields and its app lications, Int.
Bisector energy and pinned distances in positive characteristic Bourgain , More on the sum-product phenomenon in prime fields and its app lications, Int
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.503190Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation da5f85b5-3e41-4d3d-af68-91b09fad421f · outbound
This paper cites Chapman, M.
Bisector energy and pinned distances in positive characteristic Chapman, M
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.396781Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dc33c3a8-9723-4d23-8baa-90bc43753140 · outbound
This paper cites Elekes and M.
Bisector energy and pinned distances in positive characteristic Elekes and M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.318203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6a4c6fc8-b007-4ecd-b413-fd052d4e7d0e · outbound
This paper cites Erd ˝os, On sets of distances of n points, Amer.
Bisector energy and pinned distances in positive characteristic Erd ˝os, On sets of distances of n points, Amer
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.275679Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cfc548f5-5a54-40d7-b10f-8727bae8bbda · outbound
This paper cites Gr ¨unw ald, Ein abbildungsprinzip, welches die ebene geometrie und kin ematik mit der raumlichen geometrie verknupft , Sitzber.
Bisector energy and pinned distances in positive characteristic Gr ¨unw ald, Ein abbildungsprinzip, welches die ebene geometrie und kin ematik mit der raumlichen geometrie verknupft , Sitzber
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.238884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4377b14d-c860-4381-b272-28b2b850ecf1 · outbound
This paper cites Guth and N.
Bisector energy and pinned distances in positive characteristic Guth and N
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.194401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1cfd417f-a0e6-48f6-9c0f-a2399dcc8803 · outbound
This paper cites Hanson, B.
Bisector energy and pinned distances in positive characteristic Hanson, B
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:44.079426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 45dbb5db-9a92-4390-8aa1-e1f5c67de020 · outbound
This paper cites an unresolved cited work.
Bisector energy and pinned distances in positive characteristic Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:53:44.040075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f03ca4c4-3a18-4114-801a-e7a256bed694 · outbound
This paper cites A new perspective on the distance problem over prime fields.
Bisector energy and pinned distances in positive characteristic A new perspective on the distance problem over prime fields
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:53:42.768334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 87f3981b-6aff-4afc-8219-7228525224e2 · outbound
This paper cites Iosevich and M.
Bisector energy and pinned distances in positive characteristic Iosevich and M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:43.928707Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7a147d9d-a3a9-44b4-ac9f-8a1314d06cb9 · outbound
This paper cites an unresolved cited work.
Bisector energy and pinned distances in positive characteristic Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:53:43.852200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 523949f2-e01d-4c97-97f7-3f6decbd4c82 · outbound
This paper cites Klawitter and M.
Bisector energy and pinned distances in positive characteristic Klawitter and M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:43.736893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 773072c3-158b-4a64-92d7-fb11260c752c · outbound
This paper cites Extension theorems and a connection to the Erd\H{o}s-Falconer distance problem over finite fields.
Bisector energy and pinned distances in positive characteristic Extension theorems and a connection to the Erd\H{o}s-Falconer distance problem over finite fields
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:53:42.694884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4a3632b8-cee1-4310-9108-cbf943e6b229 · outbound
This paper cites On Falconer's distance set problem in the plane.
Bisector energy and pinned distances in positive characteristic On Falconer's distance set problem in the plane
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:53:42.066786Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a611bcc3-08e5-4d16-a2ee-404c6fe164fe · outbound
This paper cites Bisectors and pinned distances.
Bisector energy and pinned distances in positive characteristic Bisectors and pinned distances
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:53:42.497959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ddac046c-5715-4680-a4a9-019cd7a5eea3 · outbound
This paper cites an unresolved cited work.
Bisector energy and pinned distances in positive characteristic Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:53:43.656571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 02bd7ca1-75da-4650-90c8-df03d8f800d6 · outbound
This paper cites Matou ˇsek, The number of unit distances is almost linear for most norms , Advances in Mathematics, 226 (2011), pp.
Bisector energy and pinned distances in positive characteristic Matou ˇsek, The number of unit distances is almost linear for most norms , Advances in Mathematics, 226 (2011), pp
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:43.576394Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 189c46aa-dc86-4bf4-9c9d-e7df9c8e78be · outbound
This paper cites Murphy and G.
Bisector energy and pinned distances in positive characteristic Murphy and G
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:43.425183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6215e274-8c0c-426e-9b95-8c054d40d037 · outbound
This paper cites Hellenic Math.
Bisector energy and pinned distances in positive characteristic Hellenic Math
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:43.385204Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5d2f1162-7e10-4f82-b9a8-caaf4b2895c7 · outbound
This paper cites Petridis, Pinned algebraic distances determined by Cartesian produc ts in F2 p, Proc.
Bisector energy and pinned distances in positive characteristic Petridis, Pinned algebraic distances determined by Cartesian produc ts in F2 p, Proc
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:43.312988Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c3c40804-ebed-44fe-8bf0-1f7c346f542e · outbound
This paper cites Roche-Newton and M.
Bisector energy and pinned distances in positive characteristic Roche-Newton and M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:43.277580Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 08ddae4c-0ff3-4f9a-b628-ebfb1e6e83fd · outbound
This paper cites Rudnev , On the number of incidences between planes and points in thre e dimensions , Combinatorica, 38 (2018), pp.
Bisector energy and pinned distances in positive characteristic Rudnev , On the number of incidences between planes and points in thre e dimensions , Combinatorica, 38 (2018), pp
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:43.157953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation be4c66b4-cd91-453b-be2f-197fe5af1285 · outbound
This paper cites Rudnev and J.
Bisector energy and pinned distances in positive characteristic Rudnev and J
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:43.018655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c7a2d955-67a0-4f7a-b0ed-d8efd3814bff · outbound
This paper cites Distinct Distances: Open Problems and Current Bounds.
Bisector energy and pinned distances in positive characteristic Distinct Distances: Open Problems and Current Bounds
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:53:42.293007Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4d2b8fd-38cf-4003-bd4a-46ad8cfed770 · outbound
This paper cites Stevens and F.
Bisector energy and pinned distances in positive characteristic Stevens and F
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:42.917289Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fe836a7b-4b7a-4d59-88b4-33420ff3bb2e · outbound
This paper cites Tao and V.
Bisector energy and pinned distances in positive characteristic Tao and V
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:42.874325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 216906b9-0043-42fa-8e7a-40afb2841b81 · outbound
This paper cites V altr, Strictly convex norms allowing many unit distances and rela ted touching questions.
Bisector energy and pinned distances in positive characteristic V altr, Strictly convex norms allowing many unit distances and rela ted touching questions
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:53:42.833043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.