Paper Citation Record · LEDGER

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site

As of 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2604.07632.

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

pith.paper-citation-record.v1
2604.07632 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T16:44:58.882059Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

18 of 18 outbound references displayed

verified exact0
verified fuzzy0
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 990dabba-930c-41ed-8e37-4a6cb8f2b1ba · outbound

This paper cites IEEE Transactions on Pattern Analysis and Machine Intelligence41(2), 423–443 (2018).

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site IEEE Transactions on Pattern Analysis and Machine Intelligence41(2), 423–443 (2018)

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:57.753447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be1e49e5-4b6e-4753-a8f2-3cfa5439ac4f · outbound

This paper cites Biometrika28(3/4), 321–377 (1936) https://doi.org/10.1093/biomet/28.3-4.321.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site Biometrika28(3/4), 321–377 (1936) https://doi.org/10.1093/biomet/28.3-4.321

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:57.794812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a1bf5ff-b6c4-4aac-a905-63a425a250ad · outbound

This paper cites Inter- national Journal of Neural Systems10(05), 365–377 (2000) https://doi.org/10.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site Inter- national Journal of Neural Systems10(05), 365–377 (2000) https://doi.org/10

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:57.919034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8db4cba-45c7-41b0-912e-d9bd256a62ea · outbound

This paper cites In: Proceedings of the 38th International Conference on Machine Learning.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site In: Proceedings of the 38th International Conference on Machine Learning

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:57.967115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c775024-b902-4003-8046-8ff8ae4bab3e · outbound

This paper cites PhD thesis, University of Pennsylvania (2014).

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site PhD thesis, University of Pennsylvania (2014)

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.047493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c47462cc-459e-494d-9d76-dd2ffbb67341 · outbound

This paper cites CreateSpace Independent Publishing Platform, Charleston, SC (2014).

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site CreateSpace Independent Publishing Platform, Charleston, SC (2014)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.074265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddc94361-42dd-4e33-9a72-471084b3f7ab · outbound

This paper cites In: NeurIPS Workshop on Topo- logical Data Analysis and Beyond (2020).

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site In: NeurIPS Workshop on Topo- logical Data Analysis and Beyond (2020)

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.136237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db22f739-60ae-43f0-b244-5b12663bce8e · outbound

This paper cites In: Advances in Neural Information Processing Systems, vol.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site In: Advances in Neural Information Processing Systems, vol

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.162354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ad96540-2a8a-4da5-b895-d377a58f80ea · outbound

This paper cites New Journal of Physics25(9), 093013 (2023) https://doi.org/ 10.1088/1367-2630/acf33c.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site New Journal of Physics25(9), 093013 (2023) https://doi.org/ 10.1088/1367-2630/acf33c

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.189391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d38b04e-d3a5-4dda-adca-5892a95800d0 · outbound

This paper cites Machine Learning79(1), 151–175 (2010) https://doi.org/10.1007/s10994-009-5152-4.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site Machine Learning79(1), 151–175 (2010) https://doi.org/10.1007/s10994-009-5152-4

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.242517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12aeb2f0-5e76-4c84-8b8b-dea7fafe9769 · outbound

This paper cites In: Proceedings of the 22nd Annual Conference on Learning Theory (COLT).

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site In: Proceedings of the 22nd Annual Conference on Learning Theory (COLT)

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.327715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f6de65e-060d-4a1c-958d-1d854df73e9f · outbound

This paper cites The Annals of Statistics49(1), 100–128 (2021).

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site The Annals of Statistics49(1), 100–128 (2021)

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.371204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b17c1ed-4dee-46a9-9289-a9fe77c834b2 · outbound

This paper cites In: Advances in Neural Information Processing Systems (NIPS), vol.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site In: Advances in Neural Information Processing Systems (NIPS), vol

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.377177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be16b90d-0863-47b3-9d5f-93431e462842 · outbound

This paper cites Foundations and Trends in Multimodal Machine Learning: Principles, Challenges, and Open Questions.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site Foundations and Trends in Multimodal Machine Learning: Principles, Challenges, and Open Questions

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.453175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6fa0f516-b496-42c9-b67e-e2b5f831d802 · outbound

This paper cites In: Proceedings of the 41st International Conference on Machine Learning (ICML) (2024).

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site In: Proceedings of the 41st International Conference on Machine Learning (ICML) (2024)

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.611693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1a08e42-7423-4a99-b015-21691b76f26e · outbound

This paper cites In: Pro- ceedings of the 2016 Conference on Empirical Methods in Natural Language Processing, pp.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site In: Pro- ceedings of the 2016 Conference on Empirical Methods in Natural Language Processing, pp

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.698827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55cae0fa-b861-4a55-9693-2a19344c781f · outbound

This paper cites In: Proceedings of the 2018 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies, pp.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site In: Proceedings of the 2018 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies, pp

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.790628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1f62781-cf4b-45d2-8a8d-7fcc452cb788 · outbound

This paper cites Graduate Studies in Mathematics, vol.

Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site Graduate Studies in Mathematics, vol

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T16:44:58.882059Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.