Paper Citation Record · LEDGER

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation

As of 10 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2506.13831.

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

pith.paper-citation-record.v1
2506.13831 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:46:32.701806Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T05:57:09.345415Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T06:03:08.630097Z

Reference resolution

30 of 30 outbound references displayed

verified exact3
verified fuzzy18
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b728e49-681c-446f-b498-8c62f0acd79c · outbound

This paper cites Decomposing and Interpreting Image Representations via Text in ViTs Beyond CLIP.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Decomposing and Interpreting Image Representations via Text in ViTs Beyond CLIP

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:46:32.874900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f4be0800-69f3-42d8-99e1-5e2a0182d945 · outbound

This paper cites The iWildCam 2020 Competition Dataset.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation The iWildCam 2020 Competition Dataset

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:46:32.849343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5b7508f2-a33c-44c2-9209-593e178dffe3 · outbound

This paper cites Interpreting CLIP with Sparse Linear Concept Embeddings (SpLiCE).

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Interpreting CLIP with Sparse Linear Concept Embeddings (SpLiCE)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T00:46:32.566316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfdc82ea-7101-4714-a7eb-6e314c1da7d8 · outbound

This paper cites Tests for high-dimensional covariance matrices.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Tests for high-dimensional covariance matrices

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.259843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8397cf1d-f664-4ef3-abb6-31f1ba593312 · outbound

This paper cites A holistic approach to unifying automatic concept extraction and concept importance estimation.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation A holistic approach to unifying automatic concept extraction and concept importance estimation

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.242368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7adf08f6-3c58-4675-8476-cd615fd48da2 · outbound

This paper cites Interpreting clip’s image representation via text-based decomposition.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Interpreting clip’s image representation via text-based decomposition

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.224270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2c37ab1c-d1c8-4913-a93b-cd8fb2f396f9 · outbound

This paper cites Interpreting the Second-Order Effects of Neurons in CLIP.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Interpreting the Second-Order Effects of Neurons in CLIP

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T00:46:32.585824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9b6e067-def7-4576-82c4-e15a5914384c · outbound

This paper cites Concept discovery and dataset exploration with singular value decomposition.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Concept discovery and dataset exploration with singular value decomposition

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.206163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 84d46550-e229-49ae-957e-cae4c178e4d3 · outbound

This paper cites Nonlinear independent component analysis for principled disentanglement in unsupervised deep learning.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Nonlinear independent component analysis for principled disentanglement in unsupervised deep learning

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.189062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d145046f-3bb9-40a2-a485-87cbfb78925b · outbound

This paper cites Some optimal multivariate tests.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Some optimal multivariate tests

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.169662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b29564a5-53fe-41cb-9ff1-dfa8c4a4c414 · outbound

This paper cites The varimax criterion for analytic rotation in factor analysis.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation The varimax criterion for analytic rotation in factor analysis

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.152123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9044225c-6e28-4555-89a7-a32264c2a63d · outbound

This paper cites Earnshaw, Imran S.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Earnshaw, Imran S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.135065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a5e7c14d-2a28-43d7-ae6a-7244de20d380 · outbound

This paper cites Concentration and regularization of random graphs.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Concentration and regularization of random graphs

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.116229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 758f442b-4199-4c73-a125-1bed141d2554 · outbound

This paper cites Some hypothesis tests for the covariance matrix when the dimension is large compared to the sample size.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Some hypothesis tests for the covariance matrix when the dimension is large compared to the sample size

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.098551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 75749ce2-cfaf-412c-98c8-91fdc9d5ff6d · outbound

This paper cites Spectral Neural Networks: Approximation Theory and Optimization Landscape.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Spectral Neural Networks: Approximation Theory and Optimization Landscape

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:46:32.790705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7e022bb1-a687-4448-b62a-b54873991d54 · outbound

This paper cites Visual instruction tuning, 2023.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Visual instruction tuning, 2023

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T00:46:32.628376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5da461a-44d9-4a5c-8f1a-bb18cc3df1ea · outbound

This paper cites Deep learning face attributes in the wild.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Deep learning face attributes in the wild

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T00:46:32.633330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbd41572-13fa-40cb-89d2-3dd2290c38f2 · outbound

This paper cites Significance test for sphericity of a normal n-variate distribution.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Significance test for sphericity of a normal n-variate distribution

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.056369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 89d3db2a-6fcc-40d0-9fd2-48b456a3bdd5 · outbound

This paper cites Linguistic regularities in continuous space word rep- resentations.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Linguistic regularities in continuous space word rep- resentations

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.037652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 588ba365-0073-47f8-95ef-b38776c04faf · outbound

This paper cites Rotated word vector representations and their interpretability.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Rotated word vector representations and their interpretability

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:33.017803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dbdbdfe5-1b3a-4a24-8ed7-dab2f1fd99ed · outbound

This paper cites Learning transferable visual models from natural language supervision.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Learning transferable visual models from natural language supervision

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T00:46:32.654195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b9481a0-c9e8-48fe-9118-64ff403e887b · outbound

This paper cites On linear identifiability of learned representations.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation On linear identifiability of learned representations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:32.984127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4c8daff0-392e-4601-a636-0af45a07e114 · outbound

This paper cites Vintage factor analysis with varimax performs statistical inference.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Vintage factor analysis with varimax performs statistical inference

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:32.965048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dd54748b-cbee-4fb4-8f58-0da1533a7e87 · outbound

This paper cites Vintage factor analysis with varimax performs statistical inference.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Vintage factor analysis with varimax performs statistical inference

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T00:46:32.670366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5eaa1f05-8808-465e-aace-9b32bd2c2194 · outbound

This paper cites Distributionally Robust Neural Networks for Group Shifts: On the Importance of Regularization for Worst-Case Generalization.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Distributionally Robust Neural Networks for Group Shifts: On the Importance of Regularization for Worst-Case Generalization

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T00:46:32.675215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6e3ab13-5542-471f-9d6f-f3d05dac4642 · outbound

This paper cites Ehinger, and Benjamin I.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Ehinger, and Benjamin I

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T00:46:32.680957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4401d44c-566f-4817-b302-60fb23beafce · outbound

This paper cites no preferred direction.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation no preferred direction

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:32.946131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5aa4d545-77a0-4790-a538-988477f5a224 · outbound

This paper cites This step introduces randomness into the data transformation process.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation This step introduces randomness into the data transformation process

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:32.928658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4f24f71a-fa45-488e-8571-a46f4cb0e0db · outbound

This paper cites an unresolved cited work.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:46:32.910396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 06dc6924-d7d7-4708-89e3-0029f40781f4 · outbound

This paper cites A {bird_type} with a {background_type} background.

Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation A {bird_type} with a {background_type} background

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:46:32.892600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation cd08f819-fcaa-467b-a8d8-3e96c3809afc · inbound

COMET: Concept Space Dissection of the Modality Gap in Audio-Text Multimodal Contrastive Embeddings cites this paper.

COMET: Concept Space Dissection of the Modality Gap in Audio-Text Multimodal Contrastive Embeddings Quantifying Structure in CLIP Embeddings: A Statistical Framework for Concept Interpretation

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:03:08.631498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.