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Paper Citation Record · LEDGER

Metric functionals and weak convergence

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.04154.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.04154 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:05:55.700678Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy22
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e68e8666-ec89-4385-9126-128eb52d6c24 · outbound

This paper cites Deep limits and a cut-off phenomenon for neural networks.

Metric functionals and weak convergence Deep limits and a cut-off phenomenon for neural networks

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:00.463777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:53.576007Z digest=sha256:da0dbace8056ba9f27fc2bd1e9aef2f865539a110ceb309e13e58cfe56b4d628

Observation 986c4a85-3488-4bb0-9c33-cfa73c27ba4b · outbound

This paper cites Old and new challenges in Hadamard spaces.

Metric functionals and weak convergence Old and new challenges in Hadamard spaces

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:00.271061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:53.623728Z digest=sha256:749d89c2c69712e8a5e0380c1002f7129f7e9a6fa2c0b3662487ce07b68a3dbf

Observation b9b7482f-fde8-4069-b27f-61cbc90de335 · outbound

This paper cites Introduction to Banach spaces and their geometry , volume 68 of North-Holland Math.

Metric functionals and weak convergence Introduction to Banach spaces and their geometry , volume 68 of North-Holland Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:06:00.103720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:53.732980Z digest=sha256:adbdecc67f0cdcae76f40d23ff379e107967a7c122e82f75cc9d3774ccb81885

Observation 38cb8376-7163-49ed-9f60-1c74277ba8b8 · outbound

This paper cites Horofunctions and metric compactification of noncompact Hermitian symmetric spaces.

Metric functionals and weak convergence Horofunctions and metric compactification of noncompact Hermitian symmetric spaces

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:59.958236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:53.805970Z digest=sha256:7b2cdcd5bcd529b33f5b1f380f01197133c47ae779e5be60a918d9f37f5431c8

Observation 547c6f9c-51ab-47e9-af83-ed51d9f67e56 · outbound

This paper cites Isabel Garrido, Jesus A Jaramillo, and Sebastian Tapia-Garc \'i a.

Metric functionals and weak convergence Isabel Garrido, Jesus A Jaramillo, and Sebastian Tapia-Garc \'i a

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:59.780533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:53.878993Z digest=sha256:a22d5454c678d4468ae501ba7891126bbe11e29db70d473ec46edd789794d0a8

Observation dd041711-f096-4743-99ef-09f67086e962 · outbound

This paper cites Convex geodesic bicombings and hyperbolicity.

Metric functionals and weak convergence Convex geodesic bicombings and hyperbolicity

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:59.536594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:53.951181Z digest=sha256:ad69bef785c9e739342db970bc72ee68c31c275fcfe540b1e2629f6c89f9a51c

Observation 6cf585cc-485f-456f-be0e-008001cda0c9 · outbound

This paper cites CAT \((k)\) -spaces, weak convergence and fixed points.

Metric functionals and weak convergence CAT \((k)\) -spaces, weak convergence and fixed points

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:59.290875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.060826Z digest=sha256:774f967ce5221cfecf393472649e586052d6d114f7986358889d8a70da1e9d4c

Observation f2672d34-982c-4e0d-8670-6c19acc51c90 · outbound

This paper cites Subadditive and multiplicative ergodic theorems.

Metric functionals and weak convergence Subadditive and multiplicative ergodic theorems

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:59.110194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.206573Z digest=sha256:2233e150af14831226c5d5f7cc327570dc4502adb3443d149542914ef3dcc24b

Observation 3719d549-d879-4d79-b887-16527624f3e5 · outbound

This paper cites Guti \'e rrez and Anders Karlsson.

Metric functionals and weak convergence Guti \'e rrez and Anders Karlsson

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:58.945781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.315880Z digest=sha256:17589d496085e7ef0302fbbbe77bc34c4b125013a55b83a384101e44c5c06ff0

Observation db2c2ab4-e5a2-4669-b090-defeb6429d29 · outbound

This paper cites Subinvariant metric functionals for nonexpansive mappings.

Metric functionals and weak convergence Subinvariant metric functionals for nonexpansive mappings

Reference 10

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T11:05:56.168262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.425673Z digest=sha256:0065d5dbeaaf003a8c31316b334bed313a15cce7123f1e95d6c8f25ecc8959ef

Observation 2ae24faa-6e01-450a-bf4e-6819eb12b423 · outbound

This paper cites Guti \'e rrez.

Metric functionals and weak convergence Guti \'e rrez

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:58.769848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.498124Z digest=sha256:c8bf5c32935f70456cf2496358df32a76195d92437b856c2abd028dbcf2e2074

Observation be3114f1-f3ee-4c23-8784-8aa38a54e097 · outbound

This paper cites Guti \'e rrez.

Metric functionals and weak convergence Guti \'e rrez

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:58.596369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.570728Z digest=sha256:77a5f701d4f4d57edbeca2a87c1661eaeb93a84340b4e6ce5c687ac740d56fea

Observation a2ffab4a-3fd5-433e-94ba-0d7248351d54 · outbound

This paper cites A maximin characterisation of the escape rate of non-expansive mappings in metrically convex spaces.

Metric functionals and weak convergence A maximin characterisation of the escape rate of non-expansive mappings in metrically convex spaces

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:58.400504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.716916Z digest=sha256:d9200a917d6ef0946f1d064329533b3d63c39fe3aa581cf1626b174e5b4172cf

Observation f15df122-649f-433f-a3f5-5b6714029420 · outbound

This paper cites Hahn- Banach for metric functionals and horofunctions.

Metric functionals and weak convergence Hahn- Banach for metric functionals and horofunctions

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:58.212092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.789579Z digest=sha256:812e64d28586ea0af0f99596178d4de82e98c3a48bc1cdd828c01bc18be098e3

Observation 23706e1e-55da-4dd2-b6e1-01546c8746c9 · outbound

This paper cites Elements of a metric spectral theory.

Metric functionals and weak convergence Elements of a metric spectral theory

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:57.978372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.862032Z digest=sha256:c47eb653582c2a0efd1899e3cbbf92e762ae87d4de4e7b214b05d351d35c6797

Observation c7173b43-6558-45f2-b53f-d3322a975507 · outbound

This paper cites A metric fixed point theorem and some of its applications.

Metric functionals and weak convergence A metric fixed point theorem and some of its applications

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:57.789172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:54.935036Z digest=sha256:f3f9fcaeaaa201e615930ecb61744b5a8ffe735e4de9f1da9aa111d7f17b0801

Observation e132db21-3ffe-4c1d-a3bf-95b0f3c08288 · outbound

This paper cites an unresolved cited work.

Metric functionals and weak convergence Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:05:57.579480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:55.008186Z digest=sha256:1035d5fd2101a1939675344cec97966e47e2f22c7b49714ef1f176fb166269bb

Observation bf323a04-66c7-43da-9ea5-1393636e52b0 · outbound

This paper cites Remarks on some fixed point theorems.

Metric functionals and weak convergence Remarks on some fixed point theorems

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:57.404181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:55.044184Z digest=sha256:1f451741d01b102e110c70d37a92c22fc61078f1efd2acf9583201cecc531d7d

Observation ca3c3228-fec4-4303-9f4d-2d3e4d2a4d90 · outbound

This paper cites Nonexpansive maps with surjective displacement.

Metric functionals and weak convergence Nonexpansive maps with surjective displacement

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:57.221005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:55.116776Z digest=sha256:97a50edae8f3d2620d27738b0a4f3f8648581dc72cdc034620885f92fbdd9a04

Observation 15a4961f-c083-4543-b269-045d9888b5dc · outbound

This paper cites Detecting fixed points of nonexpansive maps by illuminating the unit ball.

Metric functionals and weak convergence Detecting fixed points of nonexpansive maps by illuminating the unit ball

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:57.036831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:55.189703Z digest=sha256:c279f5cb908c335b7b1e437299b524aa14f323e61232aca4a17ce6897dfd59f7

Observation 7a006b09-5915-4ae6-9652-19f42a776d72 · outbound

This paper cites Weak topology on CAT (0) spaces.

Metric functionals and weak convergence Weak topology on CAT (0) spaces

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:56.853017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:55.297551Z digest=sha256:37f8c6d6d81e970a0e80be5018566e513bde1f2395fd75a316e0516bee3233ad

Observation cfb8c0da-7c2b-497b-932c-f719d48e3791 · outbound

This paper cites Lipschitz- Free Spaces : A Topometric Approach and Group Actions.

Metric functionals and weak convergence Lipschitz- Free Spaces : A Topometric Approach and Group Actions

Reference 22

Resolution
verified exact
raw_fallback, observed 2026-08-07T11:05:55.993657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:55.370669Z digest=sha256:323a6d72e00f3abb5ff16733ae5b0e9b2e36d4c9ec6af60d974010edc3d79737

Observation 90f03361-c961-4fc3-b774-257ec3de7ef7 · outbound

This paper cites Weak convergence of bounded sequences.

Metric functionals and weak convergence Weak convergence of bounded sequences

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:56.710474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:55.482023Z digest=sha256:12d74de4d68b8986e137f957a8b400d9ba20e7deb754935515a1e332dfba207b

Observation f608bf9a-893b-48d1-8cee-5abc8f609e63 · outbound

This paper cites A convexity in metric space and nonexpansive mappings.

Metric functionals and weak convergence A convexity in metric space and nonexpansive mappings

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:56.532116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:55.591959Z digest=sha256:b6b3926700446358a1da9897eab5d3d4efa1ad361a8ffdf8e48f41acee859e16

Observation b67c240b-773a-4ba4-b1ef-834a8fa920ad · outbound

This paper cites Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces.

Metric functionals and weak convergence Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:05:56.353267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T11:05:55.700678Z digest=sha256:836de7a1f5ad270d2df7115315b1d7d00b18b845aa02c1b31a9e51d1de69ff55

Pith citing papers

No inbound Pith citation observations are available.