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Paper Citation Record · LEDGER

A Mathematical Perspective On Contrastive Learning

As of 18 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2505.24134.

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

pith.paper-citation-record.v1
2505.24134 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:45:12.427129Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

41 of 41 outbound references displayed

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  • verified fuzzy22
  • unresolved18
  • parse uncertain0
  • malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ea17555f-b1cd-4876-bca8-dbf875acc870 · outbound

This paper cites (2017).Deep Learning1.

A Mathematical Perspective On Contrastive Learning (2017).Deep Learning1

Reference 1

Resolution
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Observation f42a3aca-b19d-46ca-a3a3-48ed0f323404 · outbound

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A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 2

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5fa3f1dc-bdb9-4ca4-9766-3c188c5bdb09 · outbound

This paper cites an unresolved cited work.

A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 977348fc-79b7-4188-bdf1-01076d62155c · outbound

This paper cites and Chilimbi, T.

A Mathematical Perspective On Contrastive Learning and Chilimbi, T

Reference 4

Resolution
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Source-reported events for the cited work

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Observation 15daac67-e764-433a-9b61-2e8d4948b4ca · outbound

This paper cites and Hinton, G.

A Mathematical Perspective On Contrastive Learning and Hinton, G

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 35fe3e32-c44b-4bcd-b540-d4687707ef37 · outbound

This paper cites and He, K.

A Mathematical Perspective On Contrastive Learning and He, K

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 02f88ec8-3769-44ec-af58-aa2b521e4737 · outbound

This paper cites and Jitsev, J.

A Mathematical Perspective On Contrastive Learning and Jitsev, J

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6c6c44bc-c6da-4c93-ac00-b0b5f0756657 · outbound

This paper cites and LeCun, Y.

A Mathematical Perspective On Contrastive Learning and LeCun, Y

Reference 8

Resolution
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Source-reported events for the cited work

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Observation 499cbaf8-e1ec-4367-a447-5c6a8f09df19 · outbound

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A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 9

Resolution
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This paper cites and W ang, H.(2023).

A Mathematical Perspective On Contrastive Learning and W ang, H.(2023)

Reference 10

Resolution
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Source-reported events for the cited work

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Observation 06498fb3-0c1d-4cf3-921d-2ca0b4ee5cfb · outbound

This paper cites CLIP2Video: Mastering Video-Text Retrieval via Image CLIP.

A Mathematical Perspective On Contrastive Learning CLIP2Video: Mastering Video-Text Retrieval via Image CLIP

Reference 11

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Source-reported events for the cited work

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Observation de6c1ef9-67ba-4fb6-95ef-4651bc836230 · outbound

This paper cites and Torokhti, A.

A Mathematical Perspective On Contrastive Learning and Torokhti, A

Reference 12

Resolution
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Observation 4b87c9d6-cba5-45bc-87ba-f11f08132211 · outbound

This paper cites an unresolved cited work.

A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 13

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Source-reported events for the cited work

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Observation aa7a7ef5-ca85-4121-a16a-5c981f9554bd · outbound

This paper cites Optimal low-rank posterior covariance approximation in linear Gaussian inverse problems on Hilbert spaces.

A Mathematical Perspective On Contrastive Learning Optimal low-rank posterior covariance approximation in linear Gaussian inverse problems on Hilbert spaces

Reference 14

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Source-reported events for the cited work

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A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

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Observation e2503bd5-b7d7-430b-a3a2-33ed6315796f · outbound

This paper cites an unresolved cited work.

A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 16

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 624541bd-f3e8-48d5-81d0-2ded6211ab23 · outbound

This paper cites and Jones, C.

A Mathematical Perspective On Contrastive Learning and Jones, C

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 64fccb30-0a2b-47cc-b350-dabacfa8a25e · outbound

This paper cites and Duerig, T.

A Mathematical Perspective On Contrastive Learning and Duerig, T

Reference 18

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Observation f65df6b2-4d44-4986-9250-53b4b2c79297 · outbound

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A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 19

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A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 20

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Observation dd3af33c-718f-4969-8b27-955d7ad84065 · outbound

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A Mathematical Perspective On Contrastive Learning and Jones, C

Reference 21

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This paper cites and Haffner, P.

A Mathematical Perspective On Contrastive Learning and Haffner, P

Reference 22

Resolution
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Reference 23

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Observation 48d04b8e-010c-4519-a9d7-9e0120245e51 · outbound

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A Mathematical Perspective On Contrastive Learning and Li, T

Reference 24

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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This paper cites and Zisserman, A.

A Mathematical Perspective On Contrastive Learning and Zisserman, A

Reference 25

Resolution
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Source-reported events for the cited work

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This paper cites GLIDE: Towards Photorealistic Image Generation and Editing with Text-Guided Diffusion Models.

A Mathematical Perspective On Contrastive Learning GLIDE: Towards Photorealistic Image Generation and Editing with Text-Guided Diffusion Models

Reference 26

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f5f9f0f3-09c7-4c48-b5e8-f1333cf8c293 · outbound

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Reference 27

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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This paper cites , Kim, J.

A Mathematical Perspective On Contrastive Learning , Kim, J

Reference 28

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Observation 0d3a6496-eb43-44c3-acf6-c082602d7861 · outbound

This paper cites Hierarchical Text-Conditional Image Generation with CLIP Latents.

A Mathematical Perspective On Contrastive Learning Hierarchical Text-Conditional Image Generation with CLIP Latents

Reference 29

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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A Mathematical Perspective On Contrastive Learning and Ommer, B

Reference 30

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation be5a2fc9-91aa-447a-a5ba-102357b87a8c · outbound

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A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 31

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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A Mathematical Perspective On Contrastive Learning and Marzouk, Y

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 09910e01-e78b-47c1-9af7-39a5c4b29b77 · outbound

This paper cites On Mutual Information Maximization for Representation Learning.

A Mathematical Perspective On Contrastive Learning On Mutual Information Maximization for Representation Learning

Reference 33

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 09e98a2e-9b03-4798-9fac-991f5ed7b1ad · outbound

This paper cites an unresolved cited work.

A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 34

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e506a3c0-bca1-4677-b064-e0e853523dec · outbound

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A Mathematical Perspective On Contrastive Learning and Liao, J

Reference 35

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0118a6ef-aaed-4fdf-9949-b39af8f80eeb · outbound

This paper cites and Goodman, N.

A Mathematical Perspective On Contrastive Learning and Goodman, N

Reference 36

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a99d7397-a360-4b96-8540-ad618c4475f3 · outbound

This paper cites and Wu, Y.

A Mathematical Perspective On Contrastive Learning and Wu, Y

Reference 37

Resolution
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raw_fallback, observed 2026-08-07T12:45:13.644891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 890c5448-c0cb-46d4-a8df-32805b6ef9b5 · outbound

This paper cites Hyperbolic Contrastive Learning.

A Mathematical Perspective On Contrastive Learning Hyperbolic Contrastive Learning

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T12:45:12.122089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:45:12.122089Z digest=sha256:9eaba1105252ec1a023831f671e776088792ae2c00993611b664788b56e54371

Observation 08f4b944-5e38-492e-ad6b-626e827d9a33 · outbound

This paper cites and Deny, S.

A Mathematical Perspective On Contrastive Learning and Deny, S

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:13.369742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:45:12.241764Z digest=sha256:ce4a1b47ecf6c249ef6c99b65e2864f27daf6fd184a88b9772926b125df669da

Observation f0d24cf6-1cae-48a1-ac99-903cec29289e · outbound

This paper cites and Beyer, L.

A Mathematical Perspective On Contrastive Learning and Beyer, L

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:45:13.107582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:45:12.329006Z digest=sha256:fd1201d304d4309c888d2ef9ff875cc6ec2ffa2b2fa0958a6a67eca93bf618cf

Observation 7ec228e8-99c1-49d8-ada0-a9907bc4bc21 · outbound

This paper cites an unresolved cited work.

A Mathematical Perspective On Contrastive Learning Unresolved cited work

Reference 41

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T12:45:12.865094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T12:45:12.427129Z digest=sha256:4801f233f2a85afa07da5c7264b8335be70acc16c3326b2252638910e7a9fca1

Pith citing papers

No inbound Pith citation observations are available.