Paper Citation Record · LEDGER

A Logical View of GNN-Style Computation and the Role of Activation Functions

As of 18 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2512.19332.

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

pith.paper-citation-record.v1
2512.19332 v2

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:56:51.483097Z

measured 45 of 45 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

45 of 45 outbound references displayed

verified exact9
verified fuzzy0
unresolved34
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 544c5bed-1c5d-4a64-a5c1-8867bb7a47dc · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.142857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31f1391b-e91c-4215-a052-728ecad791f7 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 3

Resolution: malformed identifier; no resolver link, observed 2026-08-03T14:56:51.155372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85448cd0-9aee-4fc1-b565-1bf31c852624 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-03T14:59:08.241111Z

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.

Observation e4c2e2cf-e659-472d-84e1-13033bd8ff9b · outbound

This paper cites Kostylev, Mikaël Monet, Jorge Pérez, Juan L.

A Logical View of GNN-Style Computation and the Role of Activation Functions Kostylev, Mikaël Monet, Jorge Pérez, Juan L

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.167989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54d6a1be-67ee-40ba-9020-ac27a6472e27 · outbound

This paper cites Lin, and Peter T.

A Logical View of GNN-Style Computation and the Role of Activation Functions Lin, and Peter T

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.173266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 875fc4e7-1f2f-4ff3-8391-11575dc8e7ee · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.179335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b9ff6ff-2dc3-42ac-ab27-395abe0a9828 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 8

Resolution: malformed identifier; no resolver link, observed 2026-08-03T14:56:51.184944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c00f566-6acb-43e6-bddc-cef31c76061a · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.192004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9374e8c0-ec4c-4c3e-b8dc-0d02bd34d07b · outbound

This paper cites 2004.Approximation by algebraic numbers.

A Logical View of GNN-Style Computation and the Role of Activation Functions 2004.Approximation by algebraic numbers

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.199562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03d3157f-2bb9-494d-ab33-7566fb6d43eb · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.205619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bafd9baa-d385-4252-a9c3-ecacf037fd25 · outbound

This paper cites Consens and Alberto O.

A Logical View of GNN-Style Computation and the Role of Activation Functions Consens and Alberto O

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.211591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f22f904-cb59-4253-9814-8ce71aca2519 · outbound

This paper cites Cruz, Alberto O.

A Logical View of GNN-Style Computation and the Role of Activation Functions Cruz, Alberto O

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.219930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31e5f3a0-3bad-45e3-9bc3-41cec6210fba · outbound

This paper cites Dannert and Erich Grädel.

A Logical View of GNN-Style Computation and the Role of Activation Functions Dannert and Erich Grädel

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.229857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d753645-e8ae-48a5-8455-d4cd6792824a · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-08-03T14:59:07.850105Z

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.

Observation ba4f36da-5df6-42e7-874c-0d76d38b84f7 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-03T14:59:07.549783Z

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.

Observation a34c753c-1110-4c2e-b722-28bde62d6d4a · outbound

This paper cites Krishna, Wim Martens, Matthias Niewerth, and Tina Trautner.

A Logical View of GNN-Style Computation and the Role of Activation Functions Krishna, Wim Martens, Matthias Niewerth, and Tina Trautner

Reference 17

Resolution: verified exact; doi, observed 2026-08-03T14:59:07.217115Z

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.

Observation b818065c-ac90-4613-8f76-96f09110fc5f · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-08-03T14:59:06.895655Z

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.

Observation 71a04472-fb26-48ef-b7fd-d66fcc98314b · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-08-03T14:59:06.596526Z

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.

Observation 8062175c-f1ec-4445-af36-c2984c3fd761 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.273727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4cfee07-c9ba-43a9-b972-d52dbfa68bb1 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-03T14:59:06.324478Z

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.

Observation ea0a3a7b-e1de-4b10-a973-8fbe8c51b325 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.288072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df28f459-09a2-402a-bac6-8faea6b7fcbe · outbound

This paper cites Freydenberger and Nicole Schweikardt.

A Logical View of GNN-Style Computation and the Role of Activation Functions Freydenberger and Nicole Schweikardt

Reference 23

Resolution: verified exact; doi, observed 2026-08-03T14:59:06.125116Z

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.

Observation a3ed07ca-a768-4739-8449-365e9c3c4998 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.300139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95375eed-4122-4cc4-a0dc-00c68d1f9fcc · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-03T14:59:05.831062Z

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.

Observation a5176046-0104-4e51-af49-bf84cbb65e17 · outbound

This paper cites Schoenholz, Patrick F.

A Logical View of GNN-Style Computation and the Role of Activation Functions Schoenholz, Patrick F

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.316342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d55d2d2f-c77c-430a-adc3-f6e17dc41615 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.326593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb38a018-0ca3-41aa-9bdd-eccd070cba57 · outbound

This paper cites Hamilton, Zhitao Ying, and Jure Leskovec.

A Logical View of GNN-Style Computation and the Role of Activation Functions Hamilton, Zhitao Ying, and Jure Leskovec

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.336040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0109412e-6ac3-4859-8976-374bb7ab921b · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.344682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7dbb5153-ed82-4f56-b7af-3f3fe5105f46 · outbound

This paper cites Aggregate-Combine-Readout GNNs Are More Expressive Than Logic C2.

A Logical View of GNN-Style Computation and the Role of Activation Functions Aggregate-Combine-Readout GNNs Are More Expressive Than Logic C2

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.351646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87f7d12a-b28d-4955-b5a4-4b1def9ca5cf · outbound

This paper cites On the power of graph neural networks and the role of the activation function.

A Logical View of GNN-Style Computation and the Role of Activation Functions On the power of graph neural networks and the role of the activation function

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.357521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c20d715-b883-435f-af24-c59a4052868f · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.364576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c53de951-b471-401f-8b4b-1a806138e28e · outbound

This paper cites Kipf and Max Welling.

A Logical View of GNN-Style Computation and the Role of Activation Functions Kipf and Max Welling

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.370685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b97fb67e-65f4-4a06-a1fb-c2851887a38c · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.384163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e692896d-0b9d-4894-bdc7-7e451bd25452 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.390671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97f3a0b2-78da-44c0-a7c3-0deba27bf000 · outbound

This paper cites Mendelzon and Peter T.

A Logical View of GNN-Style Computation and the Role of Activation Functions Mendelzon and Peter T

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.398111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa7fa9ab-0124-4c4e-9fb1-a31f2505f31d · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.407958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31762b2e-888b-4041-a65a-71a94bc597ee · outbound

This paper cites Graph neural networks extrapolate out-of-distribution for shortest paths.

A Logical View of GNN-Style Computation and the Role of Activation Functions Graph neural networks extrapolate out-of-distribution for shortest paths

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.415954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3a43cfd-0856-446b-9468-f95e364ab01a · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.422279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 016cf1c0-80ef-4a22-afcd-fe937d5f8f46 · outbound

This paper cites Reutter, Miguel Romero, and Moshe Y.

A Logical View of GNN-Style Computation and the Role of Activation Functions Reutter, Miguel Romero, and Moshe Y

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.428467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbf657c3-91dc-4de7-9a87-937362eaa381 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.436223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b3a05a9-1717-4707-aa8b-e995b108aff2 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.443315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8a0f78f-d701-4486-aac1-54b259a0062d · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.454155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be2cb2f2-7b7a-4e5f-aaac-6fe68c95beef · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.461014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bc2eac5-5767-4c78-8d71-45682d96d936 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.470077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6665bfe-e390-4368-a905-004e6e843b87 · outbound

This paper cites an unresolved cited work.

A Logical View of GNN-Style Computation and the Role of Activation Functions Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T14:56:51.483097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.