Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T13:23:35.491742Z
Paper Citation Record · LEDGER
Medians, Oscillations, and Distance Functions
As of 22 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 4 inbound Pith citation observations for arXiv:2507.21020.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-12T00:05:10.367750Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T11:26:54.771446Z
Reference resolution
30 of 30 outbound references displayed
- verified exact2
- verified fuzzy21
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation fb7e992b-4eb6-4324-8772-923b1687a7d0 · outbound
This paper cites Aimar, M.
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:41.636500Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d9fd6dad-ec42-4a3b-ac2e-d99ea4b4ffe6 · outbound
This paper cites an unresolved cited work.
Medians, Oscillations, and Distance Functions Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:23:41.388621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 880f5bd6-231c-4c1c-8b1c-b3bddcb5cf40 · outbound
This paper cites ack, Carlos Mudarra, and Antti V. V\.
Medians, Oscillations, and Distance Functions ack, Carlos Mudarra, and Antti V. V\
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:41.168488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ce61f64d-f08b-4389-9ceb-a4cb848b4080 · outbound
This paper cites Anderson, A framework for C alder\'on- Z ygmund singular integral operators on spaces of homogeneous type , 2015.
Medians, Oscillations, and Distance Functions Anderson, A framework for C alder\'on- Z ygmund singular integral operators on spaces of homogeneous type , 2015
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:40.946059Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3cdac51d-ffa2-45db-93aa-9d21356156bd · outbound
This paper cites ack, Heli Tuominen, and Antti V. V\.
Medians, Oscillations, and Distance Functions ack, Heli Tuominen, and Antti V. V\
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:40.721021Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b794b493-6afe-4a40-88be-6b5d9093935e · outbound
This paper cites Dur\'an and Fernando L\'opez Garc\'ia, Solutions of the divergence and analysis of the S tokes equations in planar H \"older- domains , Math.
Medians, Oscillations, and Distance Functions Dur\'an and Fernando L\'opez Garc\'ia, Solutions of the divergence and analysis of the S tokes equations in planar H \"older- domains , Math
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:40.504520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 40788c2d-4a4e-4c43-bcae-4e00ebf3ba26 · outbound
This paper cites Self-improvement of fractional Hardy inequalities in metric measure spaces via hyperbolic fillings.
Medians, Oscillations, and Distance Functions Self-improvement of fractional Hardy inequalities in metric measure spaces via hyperbolic fillings
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T13:23:35.912958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 04ba466e-bfeb-489d-bcae-e85c3c452bcf · outbound
This paper cites ack, and Antti V. V\.
Medians, Oscillations, and Distance Functions ack, and Antti V. V\
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:40.282689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2a6cb27a-b038-42b1-9a38-887885e886d8 · outbound
This paper cites Rubio de Francia, Weighted norm inequalities and related topics, North-Holland Mathematics Studies, vol.
Medians, Oscillations, and Distance Functions Rubio de Francia, Weighted norm inequalities and related topics, North-Holland Mathematics Studies, vol
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T13:23:33.413793Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8510c8e1-cae3-4b48-8c57-e9108e03a371 · outbound
This paper cites H\"anninen, Equivalence of sparse and C arleson coefficients for general sets , Ark.
Medians, Oscillations, and Distance Functions H\"anninen, Equivalence of sparse and C arleson coefficients for general sets , Ark
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:40.092393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6c98e57b-ef8a-4bec-a91f-91ff09187f7b · outbound
This paper cites II , Bull.
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:39.819612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a93b4824-b338-4e03-8cbe-40e6095de082 · outbound
This paper cites anen and Antti V. V\.
Medians, Oscillations, and Distance Functions anen and Antti V. V\
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:39.597713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d8425f9d-1280-45ea-9f69-d071cb9cee63 · outbound
This paper cites Hyt\"onen, The A_2 theorem: remarks and complements , Harmonic analysis and partial differential equations, Contemp.
Medians, Oscillations, and Distance Functions Hyt\"onen, The A_2 theorem: remarks and complements , Harmonic analysis and partial differential equations, Contemp
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:39.342151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d8161991-c213-4e48-bd95-b425009a64e4 · outbound
This paper cites John, Quasi-isometric mappings, Seminari 1962/63 A nal.
Medians, Oscillations, and Distance Functions John, Quasi-isometric mappings, Seminari 1962/63 A nal
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:39.040546Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4ced8c14-f3c3-406e-bf2e-15481d951f59 · outbound
This paper cites 3, 227--242 (eng).
Medians, Oscillations, and Distance Functions 3, 227--242 (eng)
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:38.831239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5485bc74-a259-4221-8a3a-a2ead51ecae4 · outbound
This paper cites an unresolved cited work.
Medians, Oscillations, and Distance Functions Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:23:38.613828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9a1fe144-470a-401b-8460-b980a2e6f73f · outbound
This paper cites ack, and Antti V\.
Medians, Oscillations, and Distance Functions ack, and Antti V\
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:38.382701Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 346724d8-8b4c-4db4-bb3a-6d5e72c8583b · outbound
This paper cites an unresolved cited work.
Medians, Oscillations, and Distance Functions Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:23:38.157026Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cd2199d9-bb1b-409c-b7ae-3b59abbcea83 · outbound
This paper cites 127 (2008), no.
Medians, Oscillations, and Distance Functions 127 (2008), no
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:37.957464Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3fcbcab2-f321-4e31-9408-9aad79a83470 · outbound
This paper cites Lerner, A pointwise estimate for the local sharp maximal function with applications to singular integrals, Bulletin of the London Mathematical Society 42 (2010), no.
Medians, Oscillations, and Distance Functions Lerner, A pointwise estimate for the local sharp maximal function with applications to singular integrals, Bulletin of the London Mathematical Society 42 (2010), no
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:37.696310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 06dc536f-40b7-4d42-845a-4533df2868d1 · outbound
This paper cites 2, 343 -- 356.
Medians, Oscillations, and Distance Functions 2, 343 -- 356
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:37.478063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cae82349-9a92-41a2-ba89-fba53bde01e9 · outbound
This paper cites 1, 23--76.
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:37.235346Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 755aafdb-a303-4338-9ffd-291821dbd836 · outbound
This paper cites ack and Antti V. V\.
Medians, Oscillations, and Distance Functions ack and Antti V. V\
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:37.010005Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8f3febae-31e5-4c12-82ca-d23c1391d9e9 · outbound
This paper cites Wheeden, Weighted norm inequalities for fractional integrals, Transactions of the American Mathematical Society 192 (1974), 261--274.
Medians, Oscillations, and Distance Functions Wheeden, Weighted norm inequalities for fractional integrals, Transactions of the American Mathematical Society 192 (1974), 261--274
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:36.779924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c4103a9c-2a4f-467e-9c92-578e2780bf7a · outbound
This paper cites Wheeden, Potential operators, maximal functions, and generalizations of A_ , Potential Anal.
Medians, Oscillations, and Distance Functions Wheeden, Potential operators, maximal functions, and generalizations of A_ , Potential Anal
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:36.568899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8db08efc-9703-4959-90d2-70c27f883d82 · outbound
This paper cites Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Mathematical Series, vol.
Medians, Oscillations, and Distance Functions Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Mathematical Series, vol
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T13:23:35.120122Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 020aeb1c-6466-47db-8c5b-8c122af726d1 · outbound
This paper cites an unresolved cited work.
Medians, Oscillations, and Distance Functions Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:23:36.386493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c0452c11-ea87-4a6f-b58e-4db64ef2aeaa · outbound
This paper cites an unresolved cited work.
Medians, Oscillations, and Distance Functions Unresolved cited work
Reference 28
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T13:23:35.774252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0ffd1edc-8574-4e62-912e-9cfb990c0c84 · outbound
This paper cites an unresolved cited work.
Medians, Oscillations, and Distance Functions Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:23:36.212458Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d0a7d9f8-c6a0-4bdb-9be5-970f899fa156 · outbound
This paper cites Exchange 31 (2005/06), no.
Medians, Oscillations, and Distance Functions Exchange 31 (2005/06), no
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:23:36.064904Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
Observation 6ac1f75e-51e7-4a83-95a4-8e0ec8f5841b · inbound
Parabolic weak porosity and parabolic Muckenhoupt distance functions cites this paper.
Parabolic weak porosity and parabolic Muckenhoupt distance functions Medians, Oscillations, and Distance Functions
Reference 23
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.919031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a7741346-9a68-4941-8117-8f75bb5cb047 · inbound
Median porosity is quasiconformally invariant cites this paper.
Median porosity is quasiconformally invariant Medians, Oscillations, and Distance Functions
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T11:26:54.773457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e954a0b9-7b8a-42af-8810-22f87af0a661 · inbound
One-sided median porous sets and one-sided Muckenhoupt distance functions cites this paper.
One-sided median porous sets and one-sided Muckenhoupt distance functions Medians, Oscillations, and Distance Functions
Reference 21
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-02T02:36:26.175771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 793142e6-f49d-4ef0-ac47-ed39e4ede536 · inbound
Weighted estimates for fractional integrals with Distances to Bounded Median Porous Sets and applications to Hardy--Sobolev Inequalities cites this paper.
Weighted estimates for fractional integrals with Distances to Bounded Median Porous Sets and applications to Hardy--Sobolev Inequalities Medians, Oscillations, and Distance Functions
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-07-12T00:05:10.367750Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.