Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T18:37:57.469315Z
Paper Citation Record · LEDGER
Observability inequality, log-type Hausdorff content and heat equations
As of 13 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 2 inbound Pith citation observations for arXiv:2411.11573.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:30:28.051493Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T16:30:28.308246Z
Reference resolution
50 of 50 outbound references displayed
- verified exact3
- verified fuzzy28
- unresolved19
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2ba71c2f-f189-434d-9708-d5cf794fad4f · outbound
This paper cites Apraiz and L.
Observability inequality, log-type Hausdorff content and heat equations Apraiz and L
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.160315Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3c42a7f5-7d56-48d4-9aaf-6c8fbeaf9ac4 · outbound
This paper cites Apraiz, L.
Observability inequality, log-type Hausdorff content and heat equations Apraiz, L
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.148197Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ac0301b1-191c-48c7-97e6-ce3d18e1ce8d · outbound
This paper cites Quantitative propagation of smallness and spectral estimates for the Schr\"odinger operator.
Observability inequality, log-type Hausdorff content and heat equations Quantitative propagation of smallness and spectral estimates for the Schr\"odinger operator
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T18:37:57.567538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b02d80bf-3418-4990-8a24-04081e3b7c0f · outbound
This paper cites Beauchard, P.
Observability inequality, log-type Hausdorff content and heat equations Beauchard, P
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.136162Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f095b3e0-2cc8-4741-ae19-bf59ac90c6dc · outbound
This paper cites Burq and I.
Observability inequality, log-type Hausdorff content and heat equations Burq and I
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.123220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3a7bdf6d-fb78-4df5-967a-c2c02b4beed3 · outbound
This paper cites Carleson.
Observability inequality, log-type Hausdorff content and heat equations Carleson
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.110944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0804b63b-3db1-4bf5-851e-20fc6acf099f · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:58.097865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c4bfc987-227d-4c95-93ad-947674fc7225 · outbound
This paper cites On the generalized Hausdorff dimension of Besicovitch sets.
Observability inequality, log-type Hausdorff content and heat equations On the generalized Hausdorff dimension of Besicovitch sets
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T18:37:57.295826Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0b855c3-22dd-4d6b-aa65-9e006f3e6d74 · outbound
This paper cites Ciesielski and S.
Observability inequality, log-type Hausdorff content and heat equations Ciesielski and S
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.085212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 310853d6-d353-4123-9b74-6b85ae113fe7 · outbound
This paper cites Dasgupta.
Observability inequality, log-type Hausdorff content and heat equations Dasgupta
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.072754Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7d3f6fad-7bdc-44ab-a159-5d40fdd0e9a1 · outbound
This paper cites Dicke, A.
Observability inequality, log-type Hausdorff content and heat equations Dicke, A
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.059797Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 249f8c48-fab2-4c0b-9d60-192012f501a2 · outbound
This paper cites Dicke, A.
Observability inequality, log-type Hausdorff content and heat equations Dicke, A
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.046912Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d0cabb5b-04b2-460e-becc-fca918435154 · outbound
This paper cites Observability for the one-dimensional heat equ ation.
Observability inequality, log-type Hausdorff content and heat equations Observability for the one-dimensional heat equ ation
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.034504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c0119633-9252-4bfb-aa41-ff974914658a · outbound
This paper cites Duyckaerts and L.
Observability inequality, log-type Hausdorff content and heat equations Duyckaerts and L
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.021158Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6b19bd12-5df6-4664-9f4f-ed3cbbc6bde0 · outbound
This paper cites Egidi and I.
Observability inequality, log-type Hausdorff content and heat equations Egidi and I
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:58.007699Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 74d1c27e-d2c1-4e66-a5a9-95656918de70 · outbound
This paper cites Falconer.
Observability inequality, log-type Hausdorff content and heat equations Falconer
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.994511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e4c900ae-c9df-4ed3-8b27-dfc8869a0056 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.981794Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 85935d17-dd81-4457-bc64-4b480b26181e · outbound
This paper cites Friedland and Y.
Observability inequality, log-type Hausdorff content and heat equations Friedland and Y
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.969279Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 548fee71-4e1a-4af9-8e28-dfd20abe8048 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.957019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7ef91ee1-c469-47ba-970b-205e120f9ab7 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.944716Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6b9532a8-578e-4160-9222-25ed0687ec43 · outbound
This paper cites Gilbarg and N.
Observability inequality, log-type Hausdorff content and heat equations Gilbarg and N
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.932920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4801f089-65de-443c-9a54-0535d398c254 · outbound
This paper cites Walton Green, K´ evin Le Balc’h, J´ er´ emy Martin, and Marcu-Antone Orsoni.
Observability inequality, log-type Hausdorff content and heat equations Walton Green, K´ evin Le Balc’h, J´ er´ emy Martin, and Marcu-Antone Orsoni
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.921037Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 23d7343f-6732-43bd-9ee7-60c5df1b861c · outbound
This paper cites Han and F.H.
Observability inequality, log-type Hausdorff content and heat equations Han and F.H
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.908450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8bbdd4a7-0fd5-49e3-9029-7a304bef3c7f · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.895268Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e03c0811-66ed-4574-b399-dd850b0e36b8 · outbound
This paper cites Kametani.
Observability inequality, log-type Hausdorff content and heat equations Kametani
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.881623Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9f47442c-8e48-483f-bf39-6a168c40c5f1 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.868812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a2427ae0-1326-4f2e-86f5-e51100d4767a · outbound
This paper cites Kovrijkine.
Observability inequality, log-type Hausdorff content and heat equations Kovrijkine
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.855936Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7cf44c10-e678-42e9-8234-a124d5737eec · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.843068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cd39d17b-8f15-47f2-96cb-151e06f2d966 · outbound
This paper cites Le Rousseau and G.
Observability inequality, log-type Hausdorff content and heat equations Le Rousseau and G
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.830431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6a09bb4a-8ea4-4d63-8439-29bc0ef3f740 · outbound
This paper cites Le Rousseau and I.
Observability inequality, log-type Hausdorff content and heat equations Le Rousseau and I
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.818211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8224d5a4-a419-45a9-8990-dfd05c26d6d1 · outbound
This paper cites Lebeau and L.
Observability inequality, log-type Hausdorff content and heat equations Lebeau and L
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.805758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3783514f-04a0-4f13-a90b-595a09aa8369 · outbound
This paper cites Lin and X.
Observability inequality, log-type Hausdorff content and heat equations Lin and X
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.792409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 20b827c9-8948-44fc-924c-f7a02ed9dd21 · outbound
This paper cites Logunov and E.
Observability inequality, log-type Hausdorff content and heat equations Logunov and E
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.780058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0bb6d2a5-90c4-4be0-8710-56d84af29cd7 · outbound
This paper cites Logunov, E.
Observability inequality, log-type Hausdorff content and heat equations Logunov, E
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.767424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a82c07d8-848b-4028-b936-78927c1ac288 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.754568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a502793c-12fb-4052-b1d8-2ded3951bff2 · outbound
This paper cites Malinnikova.
Observability inequality, log-type Hausdorff content and heat equations Malinnikova
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.741621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 04b246a0-f305-407a-a8c2-d9e94f9b54d6 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.728903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a3977e50-4189-4f58-8ad0-3856bb407849 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.703507Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7aab082a-48d6-48e6-beee-e03b9ac1a4ce · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.690211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9d08ab4c-bb3b-4e96-93fa-e4ac5b5e24e2 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.677802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eed7ac4c-9cd5-4d10-9963-382a8a116628 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.664195Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 40998f80-4c35-4d96-91e1-2d1881331d03 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.650296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a84553e9-469f-40b5-bbb9-c55e4aeb2723 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.636540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b37b5349-78c7-47b4-8d4b-add2d2bb8f12 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 44
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.623634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a003d65b-0188-431b-b1d9-433e42d27d4b · outbound
This paper cites Internal null-controllability of the N -dimensional heat equation in cylindrical do- mains.
Observability inequality, log-type Hausdorff content and heat equations Internal null-controllability of the N -dimensional heat equation in cylindrical do- mains
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.610298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9089c086-4749-44a0-99f4-579b78e36248 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.595852Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a28d944c-9b17-4f38-a55f-632cc5eaecc6 · outbound
This paper cites an unresolved cited work.
Observability inequality, log-type Hausdorff content and heat equations Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:37:57.581846Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 63b887e3-4fa0-4d7c-a3d3-20a5757d96bc · outbound
This paper cites Quantitative 2D propagation of smallness and control for 1D heat equations with power growth potentials.
Observability inequality, log-type Hausdorff content and heat equations Quantitative 2D propagation of smallness and control for 1D heat equations with power growth potentials
Reference 48
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T18:37:57.533357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d9f07c2f-8991-4f25-9ee2-6b6ecffeed81 · outbound
This paper cites Spectral inequality for Schr\"odinger equations with power growth potentials.
Observability inequality, log-type Hausdorff content and heat equations Spectral inequality for Schr\"odinger equations with power growth potentials
Reference 49
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T18:37:57.512573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1cbb8f0e-6983-431f-b444-d36025d10442 · outbound
This paper cites HUANG, G.
Observability inequality, log-type Hausdorff content and heat equations HUANG, G
Reference 1981
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:37:57.716005Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
Observation 09af30a6-2183-4aa7-a6d4-a317444781b5 · inbound
The periodic KdV with control on space-time measurable sets cites this paper.
The periodic KdV with control on space-time measurable sets Observability inequality, log-type Hausdorff content and heat equations
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:30:28.312982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 71720ce3-2266-450b-bfdf-86b25eb77718 · inbound
Fractal Tur\'{a}n-Nazarov Inequality and Observability for Schr\"{o}dinger Equations cites this paper.
Fractal Tur\'{a}n-Nazarov Inequality and Observability for Schr\"{o}dinger Equations Observability inequality, log-type Hausdorff content and heat equations
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T18:01:10.989266Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.