Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-07T15:49:32.563941Z
Paper Citation Record · LEDGER
The microscopic weighting on a metric space
As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.05349.
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
29 of 29 outbound references displayed
- verified exact2
- verified fuzzy16
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ed820267-2767-416f-8bde-32f388bc9bf3 · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.576490Z
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 2653680b-d00e-4b08-bbfc-faa0ecf22d9c · outbound
This paper cites 2, 317–320.
The microscopic weighting on a metric space 2, 317–320
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.554277Z
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 7cf1dc31-4f1d-4f4e-86e8-694ece9fe200 · outbound
This paper cites Stolarsky,Extremal problems of distance geometry related to energy integrals, Transactions of the American Mathematical Society193(1974), 1–31.
The microscopic weighting on a metric space Stolarsky,Extremal problems of distance geometry related to energy integrals, Transactions of the American Mathematical Society193(1974), 1–31
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.588434Z
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 5522c5af-29ec-47e2-b91f-a24ef192746a · outbound
This paper cites 2, 449–494.
The microscopic weighting on a metric space 2, 449–494
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.597709Z
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 2c93fbfe-b8a0-4ea1-ba52-ec548e6cd453 · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.599650Z
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 c15c69d7-761d-450f-952c-5c1ed0357873 · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.552007Z
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 64b908e7-e5cf-4d1a-849d-c8c7f44768b3 · outbound
This paper cites Weighting vectors for machine learning: numerical harmonic analysis applied to boundary detection.
The microscopic weighting on a metric space Weighting vectors for machine learning: numerical harmonic analysis applied to boundary detection
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-07-07T15:53:54.505169Z
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 477cff1b-e1bc-43ab-ae34-8a665355d851 · outbound
This paper cites thesis, Oxford University, 2022.
The microscopic weighting on a metric space thesis, Oxford University, 2022
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.578532Z
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 28dde86b-b744-408d-bb59-6371d3ce3b9a · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.580224Z
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 7dadbcb3-467c-474f-a7d4-dc268d808531 · outbound
This paper cites G Friedlander and M.
The microscopic weighting on a metric space G Friedlander and M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.593708Z
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 435641fa-a2c3-4b66-b91c-93df499dff99 · outbound
This paper cites 3–4, 887–896.
The microscopic weighting on a metric space 3–4, 887–896
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.590154Z
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 b412582f-43b8-4e7a-bcb2-7ac3dbc4403b · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.558479Z
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 7a3beeb6-fb55-4992-9d0e-2587c2214c8c · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.556472Z
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 b119291d-855e-4bd1-83d7-965e1b6381b5 · outbound
This paper cites Is magnitude 'generically continuous' for finite metric spaces?.
The microscopic weighting on a metric space Is magnitude 'generically continuous' for finite metric spaces?
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-07-07T15:53:54.500793Z
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 867ebbb5-2dd7-4b2d-a3ff-46e0a83e1211 · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.564662Z
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 3e758862-9e05-487f-8224-e4b557effb51 · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.584748Z
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 ebc8e9cc-9401-4528-843f-ab27607fa2bb · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.568296Z
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 37d98777-792d-427a-abf7-9f0867e56b4c · outbound
This paper cites Meckes,Maximizing diversity in biology and beyond, Entropy18 (2016), no.
The microscopic weighting on a metric space Meckes,Maximizing diversity in biology and beyond, Entropy18 (2016), no
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.574696Z
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 63c7da4c-c908-412f-9008-c402c727b1ba · outbound
This paper cites 4, 1271–1309.
The microscopic weighting on a metric space 4, 1271–1309
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.601517Z
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 04cc87e5-88d2-4e84-bc3a-f06f6944c808 · outbound
This paper cites 3, 733–757.
The microscopic weighting on a metric space 3, 733–757
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.581866Z
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 4830b08f-7cf5-4577-bc74-74d4bfc46d8e · outbound
This paper cites Meckes,Magnitude, diversity, capacities, and dimensions of metric spaces, Potential Analysis42 (2014), no.
The microscopic weighting on a metric space Meckes,Magnitude, diversity, capacities, and dimensions of metric spaces, Potential Analysis42 (2014), no
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.570524Z
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 20fdfabe-6703-4a05-9b50-7476a7268f82 · outbound
This paper cites I, Bulletin of the Australian Mathematical Society80 (2009), no.
The microscopic weighting on a metric space I, Bulletin of the Australian Mathematical Society80 (2009), no
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.586429Z
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 d757440e-7323-48c6-a8c5-d2ce8899e859 · outbound
This paper cites II, Mathematische Nachrichten284 (2011), 332–341.
The microscopic weighting on a metric space II, Mathematische Nachrichten284 (2011), 332–341
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.560515Z
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 4ba0fae7-4393-4523-9a1f-4ee4c539e172 · outbound
This paper cites III, Mathematische Nachrichten284 (2011), no.
The microscopic weighting on a metric space III, Mathematische Nachrichten284 (2011), no
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.572415Z
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 287140a7-1fbc-4fa9-a678-1b832f693d28 · outbound
This paper cites 6, 1841–1855.
The microscopic weighting on a metric space 6, 1841–1855
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.603238Z
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 a4c7d237-c7e1-4911-b98c-defdfbf082a5 · outbound
This paper cites Sur la définition axiomatique d’une classe d’espace distanciés vectoriellement applicable sur l’espace de Hilbert.
The microscopic weighting on a metric space Sur la définition axiomatique d’une classe d’espace distanciés vectoriellement applicable sur l’espace de Hilbert
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.595829Z
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 fd3b9bb6-a11f-457f-b63e-8f81a072b04b · outbound
This paper cites Tarazaga, T.
The microscopic weighting on a metric space Tarazaga, T
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:53:54.566443Z
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 5ced8c33-447a-44fe-b89f-0d7adbe4c9dd · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.591785Z
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 6c31fd82-7bd8-4b7e-9a76-29f8cbb17838 · outbound
This paper cites an unresolved cited work.
The microscopic weighting on a metric space Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-07-07T15:53:54.562613Z
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.