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Paper Citation Record · LEDGER

Topological Neural Networks over the Air

As of 10 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2502.10070.

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

pith.paper-citation-record.v1
2502.10070 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:35:58.196426Z

measured 40 of 40 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 2026-08-07T19:35:58.085402Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T19:35:58.304781Z

Reference resolution

39 of 39 outbound references displayed

  • verified exact5
  • verified fuzzy23
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 53555cd6-1a11-4db9-a4f1-94008d85332c · outbound

This paper cites Telecommunications of the Future.

Topological Neural Networks over the Air Telecommunications of the Future

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.576190Z

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.

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Observation 429763f6-a650-4671-832f-823a77a78316 · outbound

This paper cites Topological Neural Networks over the Air.

Topological Neural Networks over the Air Topological Neural Networks over the Air

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T19:35:58.308295Z

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=2026-08-07T19:35:58.085402Z digest=sha256:9fbefebb8c4b36e38269291a945910da6a9e67584c8fd95fbf49bf1ba5ed907b

Observation 777b8bc9-653b-4c7d-88b4-983d1a1650ed · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.568538Z

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.

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Observation 5af34af2-2402-42af-a321-d67512cfe541 · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.560381Z

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=2026-08-07T19:35:58.092162Z digest=sha256:8f89f99ce01e6c6d768269744e8b2d4cd02cd2d5425a552280801c61bd5161c1

Observation 44282d28-004c-4216-949e-554838b8cb4a · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.551453Z

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.

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Observation 0a571656-8e7f-49da-8eb6-f473f1c14f59 · outbound

This paper cites Condition 2 implies that the indexing set PX has a poset structure, given by τ ≤ σ iff Xτ ⊆ Xσ, and we say that τ bounds σ.

Topological Neural Networks over the Air Condition 2 implies that the indexing set PX has a poset structure, given by τ ≤ σ iff Xτ ⊆ Xσ, and we say that τ bounds σ

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.542826Z

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=2026-08-07T19:35:58.098507Z digest=sha256:04bffa2dfdcc84c9ecd7ae6a99677ae52eb0def18fa28bec8d41d26b978cd170

Observation 69a0a0c3-2b2d-44b1-b2e4-d243d1ef405e · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.533658Z

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=2026-08-07T19:35:58.101963Z digest=sha256:45f5d44a88d6d89967bd736d16615fc83608ab3e39e5331914fd257dfa2b657d

Observation 1896c856-140e-434b-8ecc-eddcfca69499 · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.524694Z

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=2026-08-07T19:35:58.105376Z digest=sha256:c95fef9fc22dd95fcd3c6155925f4f2cfb4b1c318e57442be23d96079f2982a7

Observation d1abf645-6740-46ab-8a15-ee016faa3c19 · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.515244Z

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=2026-08-07T19:35:58.108598Z digest=sha256:0224e2c1661afa1fb41ece106baf8529e0865778ecca6ede07fe0ce612d468da

Observation 7657c28d-d4ec-4372-a708-52c37d58d305 · outbound

This paper cites The emerging field of signal processing on graphs: Extending high-dimensional data anal- ysis to networks and other irregular domains,.

Topological Neural Networks over the Air The emerging field of signal processing on graphs: Extending high-dimensional data anal- ysis to networks and other irregular domains,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.506428Z

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.

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Observation e74abfcd-f7af-4a52-91b9-67ff6a8bcd37 · outbound

This paper cites Graph signal processing: Overview, challenges, and applications,.

Topological Neural Networks over the Air Graph signal processing: Overview, challenges, and applications,

Reference 11

Resolution
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raw_fallback, observed 2026-08-07T19:35:58.497391Z

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.

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Observation 02db076d-3d30-4312-a973-91e3e1e5cd03 · outbound

This paper cites From networks to optimal higher-order models of complex systems,.

Topological Neural Networks over the Air From networks to optimal higher-order models of complex systems,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.488384Z

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=2026-08-07T19:35:58.118042Z digest=sha256:302f1aaa1895d2dce3e0db87acca0ef5a1e96574cfd298c230a6f7f5d6165234

Observation b58823ad-9bc4-4137-bab7-2d810856b77a · outbound

This paper cites an unresolved cited work.

Topological Neural Networks over the Air Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:35:58.479187Z

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=2026-08-07T19:35:58.121247Z digest=sha256:d1566f715d5e37bc37203f65d4a51a6e52cd74091400c5034bd5fd90fb804761

Observation 7692874b-51c4-4b8b-bb52-02128de10a61 · outbound

This paper cites Topological signal processing over simplicial complexes,.

Topological Neural Networks over the Air Topological signal processing over simplicial complexes,

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T19:35:58.124299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:35:58.124299Z digest=sha256:e354f50189cfeafb5d96b1bc2606c819e4c08a97aa34ec411f28e17eecebd586

Observation 2b4f7db4-791e-4951-94ca-a09a32404072 · outbound

This paper cites Signal processing on higher-order networks: Livin’on the edge... and beyond,.

Topological Neural Networks over the Air Signal processing on higher-order networks: Livin’on the edge... and beyond,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.465355Z

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=2026-08-07T19:35:58.127402Z digest=sha256:e96e67946901edb9282c81a52fe88854504d74ae25a59abb26162365e2edb02e

Observation 23874cc8-9be5-4a9e-9251-bef08b768417 · outbound

This paper cites Simplicial convolutional filters,.

Topological Neural Networks over the Air Simplicial convolutional filters,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.456861Z

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.

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Observation 152278a6-7385-4418-8961-556b736bb26a · outbound

This paper cites Weisfeiler and Lehman go topological: Message passing simplicial networks,.

Topological Neural Networks over the Air Weisfeiler and Lehman go topological: Message passing simplicial networks,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.448421Z

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=2026-08-07T19:35:58.132688Z digest=sha256:4fa083276d91c6c0ddea68bdf4f1df8bb9a713139de99d618474254aabe1c34c

Observation 0b8c0754-cdca-411a-9661-27d907e5a7f8 · outbound

This paper cites Simplicial neural networks,.

Topological Neural Networks over the Air Simplicial neural networks,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.440558Z

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.

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Observation ac642c3f-c66f-4b9f-a3df-f8fc79ddb6d9 · outbound

This paper cites HodgeNet: Graph Neural Networks for Edge Data.

Topological Neural Networks over the Air HodgeNet: Graph Neural Networks for Edge Data

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.295779Z

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=2026-08-07T19:35:58.137566Z digest=sha256:80a088dbb5e41653c8381dbe0817ef1868cbc0fe49aa6089567f92482d47a617

Observation 21367cd2-d0c2-423a-87d6-02093f8b2ed5 · outbound

This paper cites Simplicial Attention Neural Networks.

Topological Neural Networks over the Air Simplicial Attention Neural Networks

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T19:35:58.140370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:35:58.140370Z digest=sha256:615a50edc663e0bd66a9bc90ae6e4fd7e166d49871a26102cd97b7f47a7892b2

Observation ee3aa21b-d65c-4883-8c17-a70d9216fd32 · outbound

This paper cites Efficient rep- resentation learning for higher-order data with simplicial com- plexes,.

Topological Neural Networks over the Air Efficient rep- resentation learning for higher-order data with simplicial com- plexes,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.433139Z

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.

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Observation 33d5b083-72f1-4e6e-a32c-b6e25313c832 · outbound

This paper cites Tangent bundle filters and neural networks: from manifolds to cellular sheaves and back,.

Topological Neural Networks over the Air Tangent bundle filters and neural networks: from manifolds to cellular sheaves and back,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.425384Z

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.

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Observation 6d146f4f-efdc-465e-82ab-072935aefac1 · outbound

This paper cites Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back.

Topological Neural Networks over the Air Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.276303Z

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=2026-08-07T19:35:58.147972Z digest=sha256:e5b2e3172d8d0b4a0944db3b7aa07dc94e9dccb356d6172c4bd9629081ee589d

Observation 2d123c84-075b-460d-9999-cfa8a4e77445 · outbound

This paper cites Topological deep learning: Going beyond graph data,.

Topological Neural Networks over the Air Topological deep learning: Going beyond graph data,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.417224Z

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=2026-08-07T19:35:58.151106Z digest=sha256:7af0a4c5fb46ebc6dae532c63efc2df7bc35a2fcaf68c9757072cb31a72dd290

Observation b119433c-118b-40ed-b5a9-295b12c449a2 · outbound

This paper cites Cell attention networks,.

Topological Neural Networks over the Air Cell attention networks,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.408661Z

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=2026-08-07T19:35:58.154057Z digest=sha256:21ba8a80c9020293853c3be44f88e99d95d5e44e0690c1f8c7d605a37bac4525

Observation ccb9836f-cc33-4363-b51f-68af8549af0b · outbound

This paper cites Fading models,.

Topological Neural Networks over the Air Fading models,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.399777Z

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.

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Observation f9059f11-9c04-48cf-b57b-0ee3ec03a97a · outbound

This paper cites An overview of the physical insight and the various performance metrics of fading channels in wireless communication systems,.

Topological Neural Networks over the Air An overview of the physical insight and the various performance metrics of fading channels in wireless communication systems,

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.390988Z

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.

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Observation df26e456-a9fd-4617-954c-d21b2b5e0486 · outbound

This paper cites Fading types in wireless communications systems,.

Topological Neural Networks over the Air Fading types in wireless communications systems,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.382075Z

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.

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Observation 9e8952f2-d891-4923-9cd2-245bf30d6e45 · outbound

This paper cites Unsupervised representation learning of structured radio communication signals,.

Topological Neural Networks over the Air Unsupervised representation learning of structured radio communication signals,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.373043Z

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=2026-08-07T19:35:58.165957Z digest=sha256:8cf2fa30c04e6e094a0ec4eb4e3d486b31d38ffe9643e26f4e05c6d23b8f89a1

Observation 92494cb9-c541-441e-90bf-229c8bc076ea · outbound

This paper cites Detection Algorithms for Communication Systems Using Deep Learning.

Topological Neural Networks over the Air Detection Algorithms for Communication Systems Using Deep Learning

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.264325Z

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=2026-08-07T19:35:58.168819Z digest=sha256:1d39997fd728d6cc3be2f3b352edcdddc18dc61d9138a36ac883c94e7708c705

Observation 213d5be3-ac99-4efb-888c-403318501acf · outbound

This paper cites Deep learning based communication over the air,.

Topological Neural Networks over the Air Deep learning based communication over the air,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.364217Z

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=2026-08-07T19:35:58.172323Z digest=sha256:1d094a3a3c6a4cca3e34e66418695318731c849208d56a0e4ccf72f8d09004f3

Observation c2bca977-6be2-4d17-b3af-544a8fd949f1 · outbound

This paper cites Over-the-air deep learning based radio signal classification,.

Topological Neural Networks over the Air Over-the-air deep learning based radio signal classification,

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.355280Z

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=2026-08-07T19:35:58.175192Z digest=sha256:f3c4b63f7e459071631a335c9f8b8d65d5e9626b0d60d0860e33e5cd23ec89ab

Observation 110fc12e-e777-4456-91ef-5b6d0206043c · outbound

This paper cites Deep joint source-channel coding for wireless image trans- mission,.

Topological Neural Networks over the Air Deep joint source-channel coding for wireless image trans- mission,

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.345274Z

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=2026-08-07T19:35:58.178012Z digest=sha256:d8da38e1d4c24505418a04cea805bdd932a762ddd2596f470a8709227b0aacf3

Observation f38cae7d-439d-4d41-abf0-c71d1f764df4 · outbound

This paper cites AirNet: Neural Network Transmission over the Air.

Topological Neural Networks over the Air AirNet: Neural Network Transmission over the Air

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.251366Z

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=2026-08-07T19:35:58.180854Z digest=sha256:cf1ba1e68fc81fb42097e71706f5b2a9cb036bf0222c45d0d67b082d85ccd8b9

Observation 9091bcff-71e2-4eb6-9a52-06f0f6251ad2 · outbound

This paper cites Graph Neural Networks over the Air for Decentralized Tasks in Wireless Networks.

Topological Neural Networks over the Air Graph Neural Networks over the Air for Decentralized Tasks in Wireless Networks

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-07T19:35:58.237183Z

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=2026-08-07T19:35:58.184146Z digest=sha256:bb5b761649761e558956f1584a85585399e986fcc61deb5a3b2a2e42d59a04ef

Observation 4afb34d0-dcea-4b51-acf0-7c49204ae180 · outbound

This paper cites Topological signal representation and processing over cell complexes,.

Topological Neural Networks over the Air Topological signal representation and processing over cell complexes,

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.336198Z

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.

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Observation 02d3b825-3800-4379-bbbf-916c3bda270e · outbound

This paper cites Signal Processing on Cell Complexes.

Topological Neural Networks over the Air Signal Processing on Cell Complexes

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-07T19:35:58.190439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 062b03bf-7d73-40cc-8209-7af62266dbb1 · outbound

This paper cites Stochastic blockmodels: First steps,.

Topological Neural Networks over the Air Stochastic blockmodels: First steps,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.327221Z

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.

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Observation c429a6c3-e22c-45d8-a8b6-ef1b0736625e · outbound

This paper cites An algorithm for finding a fundamental set of cycles of a graph,.

Topological Neural Networks over the Air An algorithm for finding a fundamental set of cycles of a graph,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:35:58.318179Z

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.

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Pith citing papers

Observation 429763f6-a650-4671-832f-823a77a78316 · inbound

Topological Neural Networks over the Air cites this paper.

Topological Neural Networks over the Air Topological Neural Networks over the Air

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T19:35:58.308295Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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