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Paper Citation Record · LEDGER

Beyond Message Passing: Neural Graph Pattern Machine

As of 10 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2501.18739.

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

pith.paper-citation-record.v1
2501.18739 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T22:44:06.068965Z

measured 14 of 14 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 2026-08-03T05:14:19.689437Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 76bcda94-237c-4e11-8eff-67faca18ab17 · outbound

This paper cites (3) Using a mean aggregator over encoded patterns instead of a transformer.

Beyond Message Passing: Neural Graph Pattern Machine (3) Using a mean aggregator over encoded patterns instead of a transformer

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:44:06.171093Z

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.

source=pdf_text observed=2026-08-09T22:44:06.049745Z digest=sha256:c3d9ac84470fd692d780236f6952ee9c48a4e18c83b284ab0ce89095a146303e

Observation 47298c45-4f20-408f-90ff-ae867c5140a1 · outbound

This paper cites Lastly, graph transformers (GTs) (Kreuzer et al., 2021; Ying et al., 2021; Dwivedi & Bresson, 2020; Rampasek et al., 2022; He et al., 2023; Chen et al.,.

Beyond Message Passing: Neural Graph Pattern Machine Lastly, graph transformers (GTs) (Kreuzer et al., 2021; Ying et al., 2021; Dwivedi & Bresson, 2020; Rampasek et al., 2022; He et al., 2023; Chen et al.,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:44:06.215844Z

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.

source=pdf_text observed=2026-08-09T22:44:06.033025Z digest=sha256:821fb6598538b1febe613d25564bded5557ec91777521999ae06f1ba59925ccf

Observation 692bbbd1-a007-4d40-babc-6e1da95f3618 · outbound

This paper cites This represents a fundamental advantage over message passing GNNs in terms of expressiveness.

Beyond Message Passing: Neural Graph Pattern Machine This represents a fundamental advantage over message passing GNNs in terms of expressiveness

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:44:06.193390Z

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.

source=pdf_text observed=2026-08-09T22:44:06.041399Z digest=sha256:bda687788a80e45d30b19930232f8799fa22e169dcd23ad5b4e551fa28c02e20

Observation 09748cca-c538-4187-ac39-3bf922880826 · outbound

This paper cites an unresolved cited work.

Beyond Message Passing: Neural Graph Pattern Machine Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:44:06.182535Z

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.

source=pdf_text observed=2026-08-09T22:44:06.045427Z digest=sha256:afcd5faf424cd285624f435817858fbdb9091a4fe813a6c35f3ec24eb2e2810a

Observation 9c94f023-276d-4100-8ec5-ef9ac2e7104e · outbound

This paper cites an unresolved cited work.

Beyond Message Passing: Neural Graph Pattern Machine Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:44:06.111406Z

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.

source=pdf_text observed=2026-08-09T22:44:06.068965Z digest=sha256:89c969c66e3951117e114b4f8f618fd71e9244aa1146f2c705c94661e6ff1fce

Observation cff5a3ee-729b-452b-8774-cc7eecb409a8 · outbound

This paper cites Each GPU processes a single partition, and peer-to-peer communication is used to exchange learned node embeddings among GPUs.

Beyond Message Passing: Neural Graph Pattern Machine Each GPU processes a single partition, and peer-to-peer communication is used to exchange learned node embeddings among GPUs

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:44:06.148124Z

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.

source=pdf_text observed=2026-08-09T22:44:06.057406Z digest=sha256:deb6f7a6cf94a6f9201aa2e2639bf5bfed52fd476642a41aaaf4a293bbe845e2

Observation c89f2fd8-8248-4ff9-80b0-93b6d13de5c7 · outbound

This paper cites an unresolved cited work.

Beyond Message Passing: Neural Graph Pattern Machine Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:44:06.135059Z

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.

source=pdf_text observed=2026-08-09T22:44:06.061284Z digest=sha256:b68c54b29b11cc0c85763a66b6d6f7eb8b0651a146e573787d455d2303a37870

Observation 538f740f-ab9f-4571-9eb6-a0f447f2527f · outbound

This paper cites an unresolved cited work.

Beyond Message Passing: Neural Graph Pattern Machine Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:44:06.123706Z

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.

source=pdf_text observed=2026-08-09T22:44:06.065109Z digest=sha256:2988f856d25d6199297379120770fc12c6c3c5d6cfe8debc8e807800cb03ca1f

Observation d3de9b5a-e16c-44b6-b44f-450404c279fe · outbound

This paper cites Given our focus on learning graph patterns, this discussion emphasizes the issues of expressiveness and notable advancements.

Beyond Message Passing: Neural Graph Pattern Machine Given our focus on learning graph patterns, this discussion emphasizes the issues of expressiveness and notable advancements

Reference 2018

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:44:06.227010Z

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.

source=pdf_text observed=2026-08-09T22:44:06.028739Z digest=sha256:1494c1432f5c08c64d43cc5a0b514528a2fcd5ba47ea97b7309c08ea04353e0f

Observation 22a5ce77-025d-4972-a3f8-9678f3a36d13 · outbound

This paper cites Limitations of Message Passing and Recent Advances The message passing paradigm (Kipf & Welling, 2017; Hamilton et al., 2017; Veliˇckovi´c et al.,.

Beyond Message Passing: Neural Graph Pattern Machine Limitations of Message Passing and Recent Advances The message passing paradigm (Kipf & Welling, 2017; Hamilton et al., 2017; Veliˇckovi´c et al.,

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:44:06.237582Z

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.

source=pdf_text observed=2026-08-09T22:44:06.024655Z digest=sha256:e7f96a54bed777bf75131ffd341de4d4e7ada60522896e8650890de95547b912

Observation 165219a9-d564-4a47-ade5-eae8df85c81f · outbound

This paper cites Leveraging a global attention mechanism, GTs can capture correlations between any pair of nodes, enabling effective modeling of long-range dependencies.

Beyond Message Passing: Neural Graph Pattern Machine Leveraging a global attention mechanism, GTs can capture correlations between any pair of nodes, enabling effective modeling of long-range dependencies

Reference 2022

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:44:06.204915Z

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.

source=pdf_text observed=2026-08-09T22:44:06.037093Z digest=sha256:04e3f7e075ff586e860c774805e3f634bc255eee1dd030a46f1a3932c911a584

Observation 3f60ca66-bff6-4b65-8760-8695d1c48941 · outbound

This paper cites Adaptive Expansion for Hypergraph Learning.

Beyond Message Passing: Neural Graph Pattern Machine Adaptive Expansion for Hypergraph Learning

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-09T22:44:06.019574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T22:44:06.019574Z digest=sha256:697d5505cb0543e521fb6a37a5288b0a9d4da59742e174ce7bb3138977f35835

Observation 594f55bd-6b0a-4cdf-a1a1-fb63862101fd · outbound

This paper cites an unresolved cited work.

Beyond Message Passing: Neural Graph Pattern Machine Unresolved cited work

Reference 2024

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:44:06.159212Z

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.

source=pdf_text observed=2026-08-09T22:44:06.053612Z digest=sha256:d29dd1da983993f2ad45a6f3360b29f26ceff06a82e90e47c916a3d8fe937df0

Pith citing papers

Observation e14ce150-5a24-49de-a6f4-73af70091584 · inbound

Consistency Deep Equilibrium Models cites this paper.

Consistency Deep Equilibrium Models Beyond Message Passing: Neural Graph Pattern Machine

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-03T05:14:19.689437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T05:14:19.689437Z digest=sha256:f8a2f0bdfe0c7aa015e472801c8369ab42268fcd15bfc73b14c783b04d9167ef