Paper Citation Record · LEDGER

Operator learning for models of tear film breakup

As of 13 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2601.08001.

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

pith.paper-citation-record.v1
2601.08001 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:02:02.800187Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

50 of 50 outbound references displayed

verified exact1
verified fuzzy0
unresolved49
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19b24a14-3654-4a63-8bcc-0e9b2853bd20 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.702263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf467c9a-2b52-49e7-8584-8bfa703b9725 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.705098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6d1b3d0-99fd-4d3c-a26e-b03587d31e5c · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.707309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfeffcff-2fc8-4cd6-95ff-ed09e495f935 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.709447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3daff5b4-89f7-48ca-bc05-8fa0d6f88e12 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.711772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37ff11d7-f4f1-4cb2-a9c3-f4c7093b2869 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.713852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47168e3b-1237-4232-ba22-33876ccb750b · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.716127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d71580c3-69a4-4b1a-a717-8451a0b39665 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.717957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86a2184e-21c3-4bb2-8f17-91ae36367500 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.719865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7792719c-4f20-4e74-8a87-18d198a8a9bf · outbound

This paper cites The ocular surface16(1), 4–30 (2018).

Operator learning for models of tear film breakup The ocular surface16(1), 4–30 (2018)

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.721704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3a3f5d6-8601-4854-9b52-fd52b3621c90 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.723663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8796652e-b8b3-4024-953f-1e59461ed077 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.725480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad76eeff-e183-4c2b-840b-b3ee1b1c64f2 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.727434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc610e51-16b6-4e66-ab3c-5e09ffa035eb · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.729484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ee1cb00-df42-442a-a17e-019d32d39577 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.731450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 168303f7-34c4-4448-84b5-72581601de5e · outbound

This paper cites Acta Ophthalmol.48(1), 108–118 (1970) 18.

Operator learning for models of tear film breakup Acta Ophthalmol.48(1), 108–118 (1970) 18

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.733495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91159f3a-9b8c-4a3e-9dfc-a5196b20212e · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.735335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7aafdff2-3d8f-4f86-90cf-d6c55c744ba4 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.737167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7a73258-27ef-4278-a33e-38a0c6979b49 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.738893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b77c1cce-44f6-4de9-94d0-f9adfb767623 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.740939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a11a3eb6-bb96-44cd-9c9b-b6b4d1627849 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.743130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f27291db-6926-4743-b35c-a749c0e209e1 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.745015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7c7c68c-8839-43bb-9356-359cdcd83575 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.746931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b57f1ca6-b63f-470c-8d23-c37307840e26 · outbound

This paper cites Physica D: Nonlinear Phenomena342, 1–15 (2017).

Operator learning for models of tear film breakup Physica D: Nonlinear Phenomena342, 1–15 (2017)

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.748761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43f09ce8-f382-447f-ae85-1fdeda7f5b92 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.750564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efe55966-295c-4be6-b7ee-095a0de5352e · outbound

This paper cites Journal of Engineering Mathematics149(1), 5 (2024) https://doi.org/10.1007/s10665-024-10407-6.

Operator learning for models of tear film breakup Journal of Engineering Mathematics149(1), 5 (2024) https://doi.org/10.1007/s10665-024-10407-6

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.752567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 939f5a3e-01c7-4ea3-9123-0cb5a88cfae1 · outbound

This paper cites in preparation.

Operator learning for models of tear film breakup in preparation

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.754619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad142cb9-71f7-49ab-acdc-7b809e8ade44 · outbound

This paper cites Neural Dynamical Operator: Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods.

Operator learning for models of tear film breakup Neural Dynamical Operator: Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-03T11:04:03.482257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c0c553fb-1852-4ec7-be6b-3def4911c611 · outbound

This paper cites Elsevier (2021).

Operator learning for models of tear film breakup Elsevier (2021)

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.759513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d95965e6-3d35-473f-9060-dd8ba8172e4f · outbound

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

Operator learning for models of tear film breakup In: Advances in Neural Information Processing Systems, vol

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.761391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be83eaed-946a-4c38-ba09-66d777d1c31b · outbound

This paper cites Journal of Machine Learning Research24(318), 1–67 (2023).

Operator learning for models of tear film breakup Journal of Machine Learning Research24(318), 1–67 (2023)

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.763332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c64274da-3555-4c4b-a82c-a5be51e1eb45 · outbound

This paper cites Internat.

Operator learning for models of tear film breakup Internat

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.765183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b5e5263-7e3f-4996-a89a-d102b6fb235a · outbound

This paper cites Current Eye Research19(1), 4–11 (1999).

Operator learning for models of tear film breakup Current Eye Research19(1), 4–11 (1999)

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.767084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8933fa9e-1e83-4f8f-97c0-5454ff728cf7 · outbound

This paper cites Journal of Colloid and Interface Science240(1), 259–271 (2001) https://doi.org/ 10.1006/jcis.2001.7562.

Operator learning for models of tear film breakup Journal of Colloid and Interface Science240(1), 259–271 (2001) https://doi.org/ 10.1006/jcis.2001.7562

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.768876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ea79acc-407e-44e0-bd6d-52c537895ec6 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.770622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 064bd6b6-7179-4544-aebd-fb2debbe9b51 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.772525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7b4bad6-fda9-4727-a8d7-bf31c95edaf9 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.774467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bca63ee7-f242-4f62-9e97-97331c8826c0 · outbound

This paper cites Determination of molar absorption coefficient.

Operator learning for models of tear film breakup Determination of molar absorption coefficient

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.776333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ac9526d-0da7-4296-b8f9-3ea289f2fd4a · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.778207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f45a043c-cfb0-4302-8661-a3614ca4c716 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.780008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62fe3de4-5b0b-4270-a43f-5515b88623b2 · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.781988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8478bd7-fa33-4d4a-a951-80f0a97295a5 · outbound

This paper cites Software, Environments, Tools.

Operator learning for models of tear film breakup Software, Environments, Tools

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.783922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c43941c6-7373-4e96-a8f4-cde03e0c30c4 · outbound

This paper cites Journal of Open Research Software5(1), 15 (2017).

Operator learning for models of tear film breakup Journal of Open Research Software5(1), 15 (2017)

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.785652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78f1ebe5-5fd9-4727-8dd0-5079a6e0095e · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.787472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5a34e61-580c-4765-a0cc-c26a56c4a09c · outbound

This paper cites an unresolved cited work.

Operator learning for models of tear film breakup Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.789399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8334bfd8-85d3-45e0-98e6-1ee34a470101 · outbound

This paper cites Journal of Scientific Computing92(3), 88 (2022) https: //doi.org/10.1007/s10915-022-01939-z.

Operator learning for models of tear film breakup Journal of Scientific Computing92(3), 88 (2022) https: //doi.org/10.1007/s10915-022-01939-z

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.791336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 263ee996-8c98-48bf-a60e-4dba9c116a64 · outbound

This paper cites Physics-Informed Neural Operator for Learning Partial Differential Equations.

Operator learning for models of tear film breakup Physics-Informed Neural Operator for Learning Partial Differential Equations

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.793273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 857bce51-7a3e-4552-861c-b6c2154c4fe9 · outbound

This paper cites Neural Ordinary Differential Equations.

Operator learning for models of tear film breakup Neural Ordinary Differential Equations

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.795563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba33199c-4e8b-4733-8141-1525a3bd41a9 · outbound

This paper cites On Neural Differential Equations.

Operator learning for models of tear film breakup On Neural Differential Equations

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.797855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c534ff92-853a-482f-83e8-005a0751b288 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

Operator learning for models of tear film breakup Universal Differential Equations for Scientific Machine Learning

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-03T11:02:02.800187Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.