Paper Citation Record · LEDGER

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks

As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.20201.

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

pith.paper-citation-record.v1
2607.20201 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:34:37.592747Z

measured 40 of 40 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

40 of 40 outbound references displayed

verified exact0
verified fuzzy0
unresolved40
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 78885bef-b55a-4951-b74e-5c46d69708ba · outbound

This paper cites Hastie and R.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Hastie and R

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:32.720343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4adcb981-acc3-4d3b-b8c8-df777a903869 · outbound

This paper cites Agarwal, L.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Agarwal, L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:32.795459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a25c8f2c-9338-44c4-b39b-c71ef9efa298 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:32.898712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 222eb452-2e11-48ea-b62c-0c8d3fb1744e · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.008804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ed86c4e-da39-4e80-a084-418188f4b724 · outbound

This paper cites Chang, R.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Chang, R

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.090770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a912964-af85-40ef-b542-abaf598f7c0c · outbound

This paper cites Radenovic, A.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Radenovic, A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.183387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a9b15d9-b29c-495e-9818-c7d086f688f4 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.282381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bedbe585-22bc-4ba4-9531-79c7b80558e8 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.370274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f015602-f4dc-4b37-93a7-442a2652ba26 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.482573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d10345f-6a4d-481f-b2a2-ea12588b802f · outbound

This paper cites Tsang, D.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Tsang, D

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.602097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b3f2ffe-f4ec-467a-a0e5-d4f97398440e · outbound

This paper cites Tsang, H.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Tsang, H

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.690262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bffaa3d-29b0-42f1-92af-33fc74c350a1 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.767106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36e484db-c49c-4c01-94b2-b4f47aa9ea2b · outbound

This paper cites Molchanov, S.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Molchanov, S

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.840439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 852ef463-3463-4195-9867-fe45a426bc73 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:33.956951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5603c9b-5ec3-4743-a221-e1cfeb7098f9 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:34.122602Z

Source-reported events for the cited work

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Observation 10149dfe-9d31-4ec2-9063-7f9d862c64df · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:34.253523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 271b33d7-c12b-4a35-a5bd-1df0ec307261 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:34.411851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 497ecde6-139a-4787-96b5-12d35c3fc1af · outbound

This paper cites Grinsztajn, E.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Grinsztajn, E

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:34.552433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d4b4381-5c83-49ec-bc24-3f5418a1fd83 · outbound

This paper cites Di Cecco.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Di Cecco

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:34.631678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 539d9882-71f8-4dd7-aee2-9ace68c865f7 · outbound

This paper cites Di Cecco and L.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Di Cecco and L

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:34.704547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f5986f9-901f-47b0-badd-bc3b057d3d8b · outbound

This paper cites Di Cecco and L.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Di Cecco and L

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:34.781096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c00d1b2-d631-46c0-bb02-1e343f2ea362 · outbound

This paper cites InterpretML: A Unified Framework for Machine Learning Interpretability.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks InterpretML: A Unified Framework for Machine Learning Interpretability

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:34.855679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00f28632-2755-46c3-8fa5-059d808df2f7 · outbound

This paper cites Dubey, F.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Dubey, F

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:34.940595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 306873cb-1f4d-48ba-a121-fe21721261d9 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:35.081206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa55c69a-61cd-4d0d-a8cb-dce93c1c7de5 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks KAN: Kolmogorov-Arnold Networks

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:35.193900Z

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Observation 6d02e295-c216-4638-8324-0d70de7b2111 · outbound

This paper cites Siems, K.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Siems, K

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:35.358505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de5de9e3-aec7-4246-8814-423a20af01a8 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:35.545415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74fc9b79-3e21-4713-a8f5-ef2f428ee04a · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:35.675675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19c9f957-e59c-4096-8c59-4b10dea78d02 · outbound

This paper cites Erion, J.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Erion, J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:35.828979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 316002db-464d-4b64-bc2e-7b280f200c18 · outbound

This paper cites Rieger, C.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Rieger, C

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:35.989157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7985f63-bb78-4561-9136-69c9b14e9f37 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:36.161361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3db34c52-5159-46f3-b493-d667761ddb00 · outbound

This paper cites Lengerich, S.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Lengerich, S

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:36.299304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e46b5e4a-4ecd-422e-b3a4-20b251378414 · outbound

This paper cites Bordt and U.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Bordt and U

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:36.455773Z

Source-reported events for the cited work

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Observation fcda0431-1d19-4fc7-b6d1-538665689132 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:36.576885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e0cf3eb-465d-4a41-b589-739fa1747549 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:36.754806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ac529ec-dd9d-47b4-bad0-72ebe67b40f8 · outbound

This paper cites Caruana, Y.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Caruana, Y

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:36.941279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f59bced8-d729-4296-a414-1ff94d6eafa2 · outbound

This paper cites Bouchiat, A.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Bouchiat, A

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:37.098486Z

Source-reported events for the cited work

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Observation 8b48eb49-c822-4af3-b6b8-936567e047c9 · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:37.280475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23a498bd-d314-4d5f-a16f-c560e4b7c902 · outbound

This paper cites Sorokina, R.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Sorokina, R

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:37.413029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5aea724-bc9b-4ce3-a9f6-3631226d69ff · outbound

This paper cites an unresolved cited work.

The Quadrilateral Loss: Additivity as a Measurable Behavior of Dense Neural Networks Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:37.592747Z

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Pith citing papers

No inbound Pith citation observations are available.