Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:42:15.859955Z
Paper Citation Record · LEDGER
Bochner-type theorems for distributional category
As of 22 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2505.21763.
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 2026-05-18T15:36:22.785965Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-18T15:36:33.361068Z
Reference resolution
38 of 38 outbound references displayed
- verified exact0
- verified fuzzy22
- unresolved16
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 07cbd9f1-e0c4-4269-9c60-dac2c5a5518e · outbound
This paper cites Bazzoni, G.
Bochner-type theorems for distributional category Bazzoni, G
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:21.637811Z
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 cac6e104-fa38-404f-9a65-bdeb0fe5d794 · outbound
This paper cites Bestvina, N.
Bochner-type theorems for distributional category Bestvina, N
Reference 2
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- raw_fallback, observed 2026-08-07T13:42:21.497904Z
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 c4d044e2-34db-4763-9750-9e2b60f8fdd1 · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 3
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- unresolved
- raw_fallback, observed 2026-08-07T13:42:21.331125Z
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ced1f8e8-de31-41d6-8dc6-2d6bdcf08f01 · outbound
This paper cites Cornea, G.
Reference 4
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- raw_fallback, observed 2026-08-07T13:42:21.167027Z
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 6b915bb3-d0dd-4054-aa50-102d72481a8d · outbound
This paper cites Cheeger, D.
Bochner-type theorems for distributional category Cheeger, D
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:20.929052Z
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 5b7e2b3d-ed59-4135-bfcb-f0edf5bf35bd · outbound
This paper cites Conner, F.
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:20.811631Z
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 a87f2155-6190-4189-b553-0bfbe16a80e2 · outbound
This paper cites Curvature, macroscopic dimensions, and symmetric products of surfaces.
Bochner-type theorems for distributional category Curvature, macroscopic dimensions, and symmetric products of surfaces
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:42:11.809667Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f06f900-b4fc-467d-a5b3-8c0a68bba216 · outbound
This paper cites Dekimpe, M.
Bochner-type theorems for distributional category Dekimpe, M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:20.630706Z
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 99b7490d-209a-4249-ba53-af155d34ce48 · outbound
This paper cites Dranishnikov, On macroscopic dimension of rationally essential manifolds.
Bochner-type theorems for distributional category Dranishnikov, On macroscopic dimension of rationally essential manifolds
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:42:12.005822Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91d4fdc2-4de9-492a-a014-17a3f7a29cc9 · outbound
This paper cites Dranishnikov, On macroscopic dimension of universal coverings of closed manifolds.
Bochner-type theorems for distributional category Dranishnikov, On macroscopic dimension of universal coverings of closed manifolds
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:42:12.147796Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed448793-2521-46a0-a1ce-3f9a44a496ef · outbound
This paper cites Dranishnikov, An upper bound on the LS category in presence of the fundamental group.
Bochner-type theorems for distributional category Dranishnikov, An upper bound on the LS category in presence of the fundamental group
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:20.503569Z
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 7105632a-6126-429e-bfc2-bfab8b7a2d91 · outbound
This paper cites Distributional Topological Complexity of groups.
Bochner-type theorems for distributional category Distributional Topological Complexity of groups
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:42:12.394140Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93aa335d-3430-4ddc-b0db-02d4e4d3438b · outbound
This paper cites Dranishnikov, E.
Bochner-type theorems for distributional category Dranishnikov, E
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:20.339856Z
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 8f8f52b2-1f83-4b57-8c75-3bcb04d60978 · outbound
This paper cites Farber, Invitation to topological robotics.
Bochner-type theorems for distributional category Farber, Invitation to topological robotics
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:20.207631Z
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 9e60fdfa-2535-4769-acdc-183c06851785 · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:42:20.052981Z
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b96ba236-30d9-4ef1-8dd3-d94dac8cdbad · outbound
This paper cites Felix, S.
Reference 16
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- raw_fallback, observed 2026-08-07T13:42:19.927067Z
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 02913c62-7174-49c2-932a-deaffc716020 · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:42:19.760790Z
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fba24127-a75f-4701-be89-1ed5b0bd5811 · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:42:19.589722Z
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 f7168042-d8a8-4127-ae0c-acd47dd86523 · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:42:19.418559Z
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dc45bc2a-fd7f-4e63-aa7c-223e0a890a92 · outbound
This paper cites Gromov, Filling Riemannian manifolds.
Bochner-type theorems for distributional category Gromov, Filling Riemannian manifolds
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:42:13.147507Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation daaedf7e-aaae-4fe0-9dc6-9e9a81b90e45 · outbound
This paper cites Gromov, Positive curvature, macroscopic dimension, spectral gaps and higher signatures.
Bochner-type theorems for distributional category Gromov, Positive curvature, macroscopic dimension, spectral gaps and higher signatures
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:42:13.246432Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 31f95a2d-b29a-462a-9411-7d02af384667 · outbound
This paper cites Hiller, C.-H.
Bochner-type theorems for distributional category Hiller, C.-H
Reference 22
- Resolution
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- raw_fallback, observed 2026-08-07T13:42:19.336849Z
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 db3cf320-0f5f-4f16-9488-539e5962bdb8 · outbound
This paper cites Gromov, Metric structures for Riemannian and non-Riemannian spaces.
Bochner-type theorems for distributional category Gromov, Metric structures for Riemannian and non-Riemannian spaces
Reference 23
- Resolution
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- raw_fallback, observed 2026-08-07T13:42:19.152953Z
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 1246357b-c519-45e8-9929-71db98380fe1 · outbound
This paper cites Jauhari, Distributional category of manifolds.
Bochner-type theorems for distributional category Jauhari, Distributional category of manifolds
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:19.014034Z
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 24e8b856-67c6-4eed-bb43-02e2cbe3b96c · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:42:13.797952Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a26a797a-be96-4792-9338-2405d631f710 · outbound
This paper cites Knudsen, S.
Bochner-type theorems for distributional category Knudsen, S
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:18.814059Z
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 4bd126ff-d4c6-4dbd-8650-7dade6ec1553 · outbound
This paper cites Kreck, W.
Reference 27
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- raw_fallback, observed 2026-08-07T13:42:18.666435Z
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 df4a6a04-7e57-4981-8369-0d372eb378de · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:42:18.475405Z
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 f7929f17-e1ef-4ba7-8646-cf6060811893 · outbound
This paper cites Lusternik, L.
Bochner-type theorems for distributional category Lusternik, L
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:18.309118Z
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 270359ea-f2bc-433d-a0b1-cbc387c6ab8d · outbound
This paper cites Lupton, J.
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:18.157185Z
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 baf83696-8ce4-42d4-853d-9380624b8c81 · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:42:14.697534Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c95a5bb7-a594-4cb4-a212-99929044da96 · outbound
This paper cites Oprea, Category bounds for nonnegative Ricci curvature manifolds with infinite fundamental group.
Bochner-type theorems for distributional category Oprea, Category bounds for nonnegative Ricci curvature manifolds with infinite fundamental group
Reference 32
- Resolution
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- raw_fallback, observed 2026-08-07T13:42:17.927944Z
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 052ccc9b-4647-48de-bc99-201257116105 · outbound
This paper cites Oprea, Bochner-type theorems for the Gottlieb group and injective toral actions.
Bochner-type theorems for distributional category Oprea, Bochner-type theorems for the Gottlieb group and injective toral actions
Reference 33
- Resolution
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- raw_fallback, observed 2026-08-07T13:42:17.478080Z
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 700668c9-02b5-4b4c-94d9-aef876de6341 · outbound
This paper cites Oprea, J.
Reference 34
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- raw_fallback, observed 2026-08-07T13:42:17.140864Z
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 acc0cb3e-5000-4eef-86a9-2eeae6066ada · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 35
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- unresolved
- raw_fallback, observed 2026-08-07T13:42:16.758180Z
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7a054169-dc78-4bc9-bbc6-68337e273bc8 · outbound
This paper cites an unresolved cited work.
Bochner-type theorems for distributional category Unresolved cited work
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:42:15.541901Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c59a592-87be-45d6-912f-413587215362 · outbound
This paper cites Vasquez, Flat Riemannian manifolds.
Bochner-type theorems for distributional category Vasquez, Flat Riemannian manifolds
Reference 37
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- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:16.470708Z
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 2745942f-137a-4e2b-8816-1def70cfd4c3 · outbound
This paper cites Yau, Calabi's conjecture and some new results in algebraic geometry.
Bochner-type theorems for distributional category Yau, Calabi's conjecture and some new results in algebraic geometry
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:42:16.131713Z
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 e5733c73-2a56-4e76-a587-36f5c6397435 · inbound
On distributional topological complexity of groups and manifolds cites this paper.
On distributional topological complexity of groups and manifolds Bochner-type theorems for distributional category
Reference 23
- Resolution
- verified exact
- arxiv_id, observed 2026-07-07T03:18:08.460453Z
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.