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Paper Citation Record · LEDGER

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations

As of 8 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 2 inbound Pith citation observations for arXiv:2505.15405.

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

pith.paper-citation-record.v1
2505.15405 v3

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:23:05.561320Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-11T02:05:19.611399Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T19:06:11.107849Z

Reference resolution

55 of 55 outbound references displayed

  • verified exact6
  • verified fuzzy31
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 53fe3bae-f538-4acf-aebd-719bcc491163 · outbound

This paper cites MANTRA : The manifold triangulations assemblage.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations MANTRA : The manifold triangulations assemblage

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:11.942759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:01.974183Z digest=sha256:4f815b3ebf9b1dfac692de51d6ff42e64c98b0f14eab6cf130e7f3cfe5eb4578

Observation 618b7673-0d58-4416-a127-8297bbadcc2b · outbound

This paper cites E (n) equivariant topological neural networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations E (n) equivariant topological neural networks

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:11.767094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.007214Z digest=sha256:ce7b8ce25ea1aa08a4426c1748ddfeec8cd301e7d2c3f981b10ed4462b24fe48

Observation b76c1acd-58c1-4b72-a95b-06e2f81372dc · outbound

This paper cites The physics of higher-order interactions in complex systems.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations The physics of higher-order interactions in complex systems

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:11.569025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.108647Z digest=sha256:abc15db6caed117bdb5bba96983bbc1c630cd8d7ae35b6c1fe773ee0d56119a8

Observation 2cbf648f-6035-47b3-86a0-fa34b7a48a23 · outbound

This paper cites Topological network traffic compression.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Topological network traffic compression

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:11.371690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.176099Z digest=sha256:802f4c01b66219e60790d64b42cd715719fef5b999a1f9588e01934160b89b28

Observation a5ec754c-fb72-479c-9b8d-89d4c84911b9 · outbound

This paper cites Ordered Topological Deep Learning: a Network Modeling Case Study.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Ordered Topological Deep Learning: a Network Modeling Case Study

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:23:06.813585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.217499Z digest=sha256:af3bc72a8f6f228b097253f2ceb6a00e3ad46f2105d1041eeff203d95fbc11fa

Observation ed03e5a7-4b31-4c0f-ab7d-a08061ec64cf · outbound

This paper cites What are higher-order networks? SIAM Review, 65 0 (3): 0 686--731, 2023.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations What are higher-order networks? SIAM Review, 65 0 (3): 0 686--731, 2023

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:02.306233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:02.306233Z digest=sha256:5d6383d500aae791f798e06f288bdab5b3199f3cfb933a8be2504c27c00450e3

Observation 8d63b1f1-c1b4-4232-a7a5-243513405b68 · outbound

This paper cites Topological deep learning: graphs, complexes, sheaves.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Topological deep learning: graphs, complexes, sheaves

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:11.260614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.386043Z digest=sha256:9cf477843cc7a3f66409ff22fb90061559e4d58b04a692de0cfc5a8ac0d2a571

Observation 0bf4c93d-aad7-46b1-88db-fe9a420760f8 · outbound

This paper cites Weisfeiler and Lehman Go Cellular : CW Networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Weisfeiler and Lehman Go Cellular : CW Networks

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:11.096368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.426950Z digest=sha256:a6b3ed6036831a7c7772d7d3df3e2fde2dea153e6c0f7dc7f0b97e9036c31ced

Observation 187e03a0-bec7-41a8-9e6c-e40161aacd31 · outbound

This paper cites Bouritsas, F.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Bouritsas, F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:10.955193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.488196Z digest=sha256:91657eda6e6cd8e199e1d8b8a1c48d6cfe37ade5ec44ccc3f63280545ecc9fe6

Observation 1e8aaf36-1a33-4273-b651-e098cf085e7f · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:02.574537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:02.574537Z digest=sha256:01858756c000bcabe182dde5093932ed9851cc0c2a5865785573543602784da7

Observation 9b164942-4841-49eb-8b81-6511a6a8da2b · outbound

This paper cites Simplicial 2-complex convolutional neural networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Simplicial 2-complex convolutional neural networks

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:10.813848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.652433Z digest=sha256:9e0baa3c7e28f6fff4ccd83fefd8d74b0fac909cfc90093b03593cdb41c9e3b2

Observation be192857-6101-484c-9bb5-e4d58256a7e6 · outbound

This paper cites Graph Positional and Structural Encoder.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Graph Positional and Structural Encoder

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:02.718795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:02.718795Z digest=sha256:8612738e4728925b5bb7b815847cc97e2cd94fafaa4daec2d7b9e67d0e1953e8

Observation d262990f-3919-4bdd-9e00-35dc23737737 · outbound

This paper cites On Graph Neural Networks versus Graph-Augmented MLPs.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations On Graph Neural Networks versus Graph-Augmented MLPs

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:23:06.667108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.806047Z digest=sha256:09023111a1ba94508782e79cb294883627a3342a406515c083e69e1259103bb7

Observation 5dd5c66d-fd42-4b13-81dd-e1bb34845697 · outbound

This paper cites Principal neighbourhood aggregation for graph nets.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Principal neighbourhood aggregation for graph nets

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:10.664634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.864464Z digest=sha256:126828421af4cb7e7d34a9434b582d5c28180cfe0d7def706ea993c54a5c5e23

Observation f462f482-9546-40be-bb00-b4a2eb13bdbf · outbound

This paper cites Rethinking the Power of Graph Canonization in Graph Representation Learning with Stability.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Rethinking the Power of Graph Canonization in Graph Representation Learning with Stability

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:23:06.557772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:02.923997Z digest=sha256:d9330e4aa4b37f7b51fc4033b5edd15c25cd2f6c0cbb57625dce76bd7494727f

Observation 8fd1d936-c60a-4297-9fd5-062caec596b5 · outbound

This paper cites Graph neural networks with parallel neighborhood aggregations for graph classification.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Graph neural networks with parallel neighborhood aggregations for graph classification

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:10.460916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.023566Z digest=sha256:4f9049a97bcb72051ca74ea99484584927db6834a5faf2d808909fc05e05fda7

Observation b13e6a0e-d41d-405c-9cb1-4e0c29e4d9f8 · outbound

This paper cites Graph Neural Networks with Learnable Structural and Positional Representations.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Graph Neural Networks with Learnable Structural and Positional Representations

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:03.080450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:03.080450Z digest=sha256:74b405efbdd043e926f95de76a395d6fde16b5a7517fa5ffce9801293f7d0eb6

Observation 343c5b17-cbf0-49e5-8788-5d3f2aa1ee4c · outbound

This paper cites Long range graph benchmark.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Long range graph benchmark

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:10.265514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.151523Z digest=sha256:f621fa10008ab02992932ea79ff8426422809de24894b7494e1ab052067d41e4

Observation 8bb93ce6-411c-4599-8bab-5f31e1d5b134 · outbound

This paper cites Joshi, Anh Tuan Luu, Thomas Laurent, Yoshua Bengio, and Xavier Bresson.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Joshi, Anh Tuan Luu, Thomas Laurent, Yoshua Bengio, and Xavier Bresson

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:10.042631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.205220Z digest=sha256:cc75061d6564c3957e8ad08576a175db8955b151a083e5d570185b0ab896f0b2

Observation d51fcc15-b143-49f8-bbc7-cb87d3528806 · outbound

This paper cites Topological Blindspots: Understanding and Extending Topological Deep Learning Through the Lens of Expressivity.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Topological Blindspots: Understanding and Extending Topological Deep Learning Through the Lens of Expressivity

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:03.261861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:03.261861Z digest=sha256:c75074e8c81605d167f033dfb7b383793b18edcde0ce01034dec2b6a3afa383f

Observation 02d1de91-7d51-40f9-b329-64d3ca8cd875 · outbound

This paper cites Hypergraph neural networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Hypergraph neural networks

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:03.314465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:03.314465Z digest=sha256:faa659523fb400f4435d6340b4151a09bca61ed230d21c0544cc3b1d9de57357

Observation 744996fe-56e6-4710-a695-c5dc9993122e · outbound

This paper cites SIGN: Scalable Inception Graph Neural Networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations SIGN: Scalable Inception Graph Neural Networks

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:03.372461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:03.372461Z digest=sha256:064e3324ec326e880511da1e05378d603b7a095a9615214e63bf298a655a0c65

Observation 2936fca3-cb7b-4af1-a6dd-93a03894f093 · outbound

This paper cites Sann: Simple yet powerful simplicial-aware neural networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Sann: Simple yet powerful simplicial-aware neural networks

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:09.825877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.437209Z digest=sha256:c03c84d6fde9e002b94540fc9179fdb89d2d158a1c6ecbbdf4d7e9a67f10090a

Observation 374e4ac2-6ee2-4aec-ba6f-57f7fe19a535 · outbound

This paper cites Hajij, G.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Hajij, G

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:09.635803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.497401Z digest=sha256:e34c663de819c8ea38771bc1e7ef24f1ac8394f24a7d1cf7187718181c53775a

Observation edbbd128-d0e1-4c2e-aef9-d38ce806d9b7 · outbound

This paper cites Cell complex neural networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Cell complex neural networks

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:09.454191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.563664Z digest=sha256:509e6467f415f345f83dde8cd43ea12e91138098d6d50d4a3e2351571c986b9e

Observation 752ba4bc-af29-4772-885f-d78cd22257bb · outbound

This paper cites Simplex2Vec embeddings for community detection in simplicial complexes.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Simplex2Vec embeddings for community detection in simplicial complexes

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:03.611127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:03.611127Z digest=sha256:77131d6527813cb7a6bb60d05a587d202ddab2bfd7c523e22bb64de52221b5e8

Observation 833750ec-a879-40cc-82a3-a36d683554da · outbound

This paper cites Vision gnn: An image is worth graph of nodes.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Vision gnn: An image is worth graph of nodes

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:09.266912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.685992Z digest=sha256:645373a9c6908d947105d5d2895eafda76164e9e35adead0126edf8a5911720b

Observation 006aadb2-0d3d-422b-8c1d-6e71b5e0068d · outbound

This paper cites Vision hgnn: An image is more than a graph of nodes.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Vision hgnn: An image is more than a graph of nodes

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:09.074958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.760106Z digest=sha256:b477066dad01dff3508eef5bfa782ac26f1e29abfa601babb845ba40fabb568b

Observation c134687e-3d2f-4904-8e58-6f938d8ec407 · outbound

This paper cites ZINC : a free tool to discover chemistry for biology.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations ZINC : a free tool to discover chemistry for biology

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:08.889357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.832308Z digest=sha256:74a9f5e80bf86c68d0d89d82e7d927f772ae54b7af1d060a4989b8eceb2cf6ec

Observation a2f58eb1-84b5-4433-b4c4-8083641eeaf4 · outbound

This paper cites Prediction of protein--protein interaction using graph neural networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Prediction of protein--protein interaction using graph neural networks

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:08.714223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.879690Z digest=sha256:e7564840d8e80a341c9b4b05c9b01c4505b4bcba5b5afbf6a458b83c07946d57

Observation a87bfca9-efa5-4a62-b31d-096e0ccb2d63 · outbound

This paper cites Homomorphism Counts for Graph Neural Networks: All About That Basis.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Homomorphism Counts for Graph Neural Networks: All About That Basis

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:23:06.380073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:03.939266Z digest=sha256:029abb959874059fa9718494bd7a0dd76dfde65c7ba07b16b41793ad64ff3d13

Observation 284d4842-dca0-4667-9da1-486ac73b6661 · outbound

This paper cites Social network analysis.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Social network analysis

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:08.510475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.010364Z digest=sha256:1c7052290877789fa6913a75fb9c7f96aa7722114bfbc8e4d4768690ac3c7883

Observation bac49326-cb1e-49f0-b852-7412e7587ff0 · outbound

This paper cites Training graph neural networks with 1000 layers.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Training graph neural networks with 1000 layers

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:08.347295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.065392Z digest=sha256:f1a3eaf6e885fa867ea88231ef8f82ba708a7acf7274176896e6f10791399a00

Observation 3e3f03ce-14d8-41b9-9acc-d9f013165164 · outbound

This paper cites Graph inductive biases in transformers without message passing.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Graph inductive biases in transformers without message passing

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:08.151381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.155478Z digest=sha256:adc5ddd4bf347cf6fa72bf8260ce117d8402f39438e412bb45ce31a86a70aed6

Observation c229b161-782f-45e7-92c0-cb4e47029f41 · outbound

This paper cites Unsupervised parameter-free simplicial representation learning with scattering transforms.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Unsupervised parameter-free simplicial representation learning with scattering transforms

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:07.978458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.201864Z digest=sha256:6f97d1178b4419356a8d9be6119933d2fdf88bb4ccb3e801cda023c6c0f24f25

Observation c4c8df5e-8c21-41f7-be6b-646077eb4a1a · outbound

This paper cites Topological Deep Learning with State-Space Models: A Mamba Approach for Simplicial Complexes.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Topological Deep Learning with State-Space Models: A Mamba Approach for Simplicial Complexes

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:04.252934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:04.252934Z digest=sha256:c056ca30a809d23cc748f4de32f35ae55393576b4029eec58f8a130764e00b2b

Observation f9c5b956-4037-46d1-a224-9ba535429442 · outbound

This paper cites Kriege, Franka Bause, Kristian Kersting, Petra Mutzel, and Marion Neumann.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Kriege, Franka Bause, Kristian Kersting, Petra Mutzel, and Marion Neumann

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:07.835980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.349763Z digest=sha256:8c66b0f358ae099f994f1c07c491c21a912d619a839aed92bd6e49570745b3e2

Observation 7f084922-709f-4a22-ae1d-d07f24dc22bd · outbound

This paper cites Position: Topological Deep Learning is the New Frontier for Relational Learning.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Position: Topological Deep Learning is the New Frontier for Relational Learning

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:23:06.224682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.394215Z digest=sha256:992820f44760cf3989d6a0c756ea6ff7ae59ada4ce4c45dd2733b89f9f780789

Observation bae7518c-a285-4b91-96e0-dcaee9d48021 · outbound

This paper cites Architectures of topological deep learning: A survey on topological neural networks, 2023.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Architectures of topological deep learning: A survey on topological neural networks, 2023

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:07.703717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.441002Z digest=sha256:7d2c3ab08646c4ff65c475e783810708d82b8c6d63719f2efceca82194253524

Observation c0cd7cfb-5839-445f-8ca6-461a3f7a7e97 · outbound

This paper cites Topotune: A framework for generalized combinatorial complex neural networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Topotune: A framework for generalized combinatorial complex neural networks

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:04.444840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:04.444840Z digest=sha256:b79e095d9c28a9d44b065ca1fcb1130f6222c451cc8fa6471ce13769243ba927

Observation 815a3c50-6367-4826-947b-cbc69d3b9dea · outbound

This paper cites Recipe for a general, powerful, scalable graph transformer.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Recipe for a general, powerful, scalable graph transformer

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:04.506080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:04.506080Z digest=sha256:6ce0ad39a7a036860244d975f7cc91b71bceb45dbc799d3caee35a96374ab547

Observation 6794d9b0-e85b-43e5-b100-2aa4456895be · outbound

This paper cites Wiltschko.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Wiltschko

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:07.616004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.589760Z digest=sha256:18ab6b0a0f9e01724a8d8859cd1adf74f0f146d183839ca1d9d53c8c98e2f0fc

Observation a381dc87-93ca-4261-a6a8-38e868f8db2d · outbound

This paper cites TopoBench: A Framework for Benchmarking Topological Deep Learning.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations TopoBench: A Framework for Benchmarking Topological Deep Learning

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:04.675512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:04.675512Z digest=sha256:de7763c058f14f6f4d6c694291b83c177b638100e3b7bb920ef44f2e6aa2f886

Observation 2ec7e475-acf2-45f4-8403-6c5692dea5d8 · outbound

This paper cites Equivariant and Stable Positional Encoding for More Powerful Graph Neural Networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Equivariant and Stable Positional Encoding for More Powerful Graph Neural Networks

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:04.755544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:04.755544Z digest=sha256:64b6ea54b43c2d9246dc0113ee7826e6caf3b89f3d446e8c73c214a884f149a2

Observation 965b8389-4bf4-4f37-a9e8-ee1bce82ab57 · outbound

This paper cites Dynamic graph transformer with correlated spatial-temporal positional encoding.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Dynamic graph transformer with correlated spatial-temporal positional encoding

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:07.482969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.813196Z digest=sha256:f4910f0d975cd7c5a52771194fc035a323f537d6f7f9922b8aa381898516afbd

Observation 3ee552a4-8325-4af2-b879-cbd1aab1745a · outbound

This paper cites Integrating Physics and Topology in Neural Networks for Learning Rigid Body Dynamics.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Integrating Physics and Topology in Neural Networks for Learning Rigid Body Dynamics

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:23:05.968863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:04.894848Z digest=sha256:1ca7086d95c25ed77af0fc4a09b8cc609e9edb49aee230938ab693e0c5465901

Observation a36d4227-60c2-45bc-a5da-154ad8e438ff · outbound

This paper cites Convolutional Learning on Simplicial Complexes.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Convolutional Learning on Simplicial Complexes

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:04.954535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:04.954535Z digest=sha256:dd405b61b62e5235762e0aed93060a4535fe456c75ec35e18b1a421b5f4a6055

Observation 020dca7b-7823-4a78-aa94-3cd8e47fd14a · outbound

This paper cites Simplicial convolutional neural networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Simplicial convolutional neural networks

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:07.338909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:05.014376Z digest=sha256:9ea5d3e2d781d87ef6955b668152218202b44cf4b53c8577a5ed0361abe2ee2a

Observation cbe31fa0-eb0a-4521-a41d-0ea55d62cf48 · outbound

This paper cites Decoupling the depth and scope of graph neural networks.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Decoupling the depth and scope of graph neural networks

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:07.225793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:05.057335Z digest=sha256:f156392856e9dff5cb09e221a52e92a8e632dc0c5f06d011bdc6c17c5c0c0323

Observation d17274a5-b59b-42cd-9bb9-436c3d76c97f · outbound

This paper cites Graph neural networks: A review of methods and applications.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Graph neural networks: A review of methods and applications

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:07.132816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:05.132481Z digest=sha256:c6a4e5abc23740d1b8752634de2adf8cd614eb00ca676aa1a29372cd679a8205

Observation 55979033-6bd2-4dd5-bde2-c7d411439a3c · outbound

This paper cites Improving graph matching with positional reconstruction encoder-decoder network.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Improving graph matching with positional reconstruction encoder-decoder network

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:23:06.962608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T15:23:05.198340Z digest=sha256:22df1ee2c2a07ce8cee78c0a82a42e96c70860d76fb21518a848d2d8fe6c85b3

Observation 6c063482-cee7-4681-9efc-8c75e01a4e32 · outbound

This paper cites @esa (Ref.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations @esa (Ref

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:05.242269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:05.242269Z digest=sha256:aa9f85b9213897489405839ef6e2903abf8d29adb1cd805d4dc7a01711cbac13

Observation d6903328-e2dc-4291-bdcf-6e89e5210a77 · outbound

This paper cites an unresolved cited work.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations Unresolved cited work

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:05.356948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:05.356948Z digest=sha256:7a999cfe10493b2db9c3b02c95b00c5ec3a89c5bb2166912f0c9c2286a1b79b2

Observation dd7d92d7-5770-4238-b2d3-a9db8adc165b · outbound

This paper cites , " * write output.state after.block = add.period write newline.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations , " * write output.state after.block = add.period write newline

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:05.463439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:05.463439Z digest=sha256:cec0202c38b554b2d3c7980ebb3bd9e58f3ae1e98f07b0cc06c27cd284e49e84

Observation 7b5a6564-c589-4fcd-ad37-6c22b1d3573f · outbound

This paper cites write newline.

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations write newline

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-07T15:23:05.561320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:23:05.561320Z digest=sha256:99a5f68928a36ff9a495004f6365081655b2ca15812490c68199cc01508ae7e5

Pith citing papers

Observation 4cf964bc-b2ba-4e84-92e4-88fac1ecf01a · inbound

No Triangulation Without Representation: Generalization in Topological Deep Learning cites this paper.

No Triangulation Without Representation: Generalization in Topological Deep Learning HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-06-05T01:14:26.845179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-08T12:37:30.458352Z digest=sha256:955ed7e999df912e1dbf545c5588895bf5ac04af1ea7cf3c231c8faafa2534d9

Observation 6ca3c1b9-8e1a-4bdb-ae15-5116620d98b0 · inbound

Have Graph -- Will Lift? The Case for Higher-Order Benchmarks cites this paper.

Have Graph -- Will Lift? The Case for Higher-Order Benchmarks HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations

Reference 29

Resolution
metadata mismatch
arxiv_id, observed 2026-06-05T01:14:26.845179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-11T02:05:19.611399Z digest=sha256:f5991fd9db54c50f0611ee4fa24e52874d17600960797866a5d4e4f48c82cd75