{"as_of":"2026-08-10T15:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:611833ff1f815d67dc0cf0fb4d7dfe3fc3aaa1329560e30b3d09211bc7033cda","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T19:35:58.196426Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T19:35:58.085402Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T19:35:58.304781Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"cited_work":{"arxiv_id":"2502.10070","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.10070","snapshot_observed_at":"2026-08-07T19:35:58.304781Z","title":"Topological Neural Networks over the Air","venue":"cs.IT","work_id":"dfc491fe-98fc-433b-8203-bf2392739ef7","year":2025},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.085402Z"},"links":{"cited_paper":"/paper/2502.10070","citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:9fbefebb8c4b36e38269291a945910da6a9e67584c8fd95fbf49bf1ba5ed907b","observation_id":"429763f6-a650-4671-832f-823a77a78316","resolution":{"observed_at":"2026-08-07T19:35:58.308295Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.10070/citation-record","integrity":"/paper/2502.10070/integrity","json":"/paper/2502.10070/citation-record.json","paper":"/paper/2502.10070"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.573541Z","title":"Telecommunications of the Future","venue":null,"work_id":"4f43d1eb-0953-4fa8-8445-1234ae406350","year":null},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.081435Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:7d8f4b09403e1676667915e310945d7eb4b8cce8abf49b4755c076a3d8e33509","observation_id":"53555cd6-1a11-4db9-a4f1-94008d85332c","resolution":{"observed_at":"2026-08-07T19:35:58.576190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"cited_work":{"arxiv_id":"2502.10070","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.10070","snapshot_observed_at":"2026-08-07T19:35:58.304781Z","title":"Topological Neural Networks over the Air","venue":"cs.IT","work_id":"dfc491fe-98fc-433b-8203-bf2392739ef7","year":2025},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.085402Z"},"links":{"cited_paper":"/paper/2502.10070","citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:9fbefebb8c4b36e38269291a945910da6a9e67584c8fd95fbf49bf1ba5ed907b","observation_id":"429763f6-a650-4671-832f-823a77a78316","resolution":{"observed_at":"2026-08-07T19:35:58.308295Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.565992Z","title":null,"venue":null,"work_id":"5fb0f6ff-0a8e-463f-b51d-820cdc00ab7b","year":null},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.088961Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:fb42294d96ff73492c1d4c3910391d1989f4ef411f14c72bd1cf6db11e5eb0c8","observation_id":"777b8bc9-653b-4c7d-88b4-983d1a1650ed","resolution":{"observed_at":"2026-08-07T19:35:58.568538Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.557026Z","title":null,"venue":null,"work_id":"a014002e-c27b-4569-a11d-95ee56af37e8","year":null},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.092162Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:8f89f99ce01e6c6d768269744e8b2d4cd02cd2d5425a552280801c61bd5161c1","observation_id":"5af34af2-2402-42af-a321-d67512cfe541","resolution":{"observed_at":"2026-08-07T19:35:58.560381Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.548340Z","title":null,"venue":null,"work_id":"5e6ddba8-a6e2-48d6-b0fe-da8780589ae4","year":null},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.095390Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:1a695944416f6c2036f46f30312195c0f0287cc43340bf957c3d283a4ff183c7","observation_id":"44282d28-004c-4216-949e-554838b8cb4a","resolution":{"observed_at":"2026-08-07T19:35:58.551453Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.539403Z","title":"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","venue":null,"work_id":"963684e0-7154-490b-943d-1510cbc568fb","year":null},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.098507Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:04bffa2dfdcc84c9ecd7ae6a99677ae52eb0def18fa28bec8d41d26b978cd170","observation_id":"0a571656-8e7f-49da-8eb6-f473f1c14f59","resolution":{"observed_at":"2026-08-07T19:35:58.542826Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.530526Z","title":null,"venue":null,"work_id":"99071de2-ff98-4b98-8244-a0d98c2cdbb6","year":null},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.101963Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:45f5d44a88d6d89967bd736d16615fc83608ab3e39e5331914fd257dfa2b657d","observation_id":"69a0a0c3-2b2d-44b1-b2e4-d243d1ef405e","resolution":{"observed_at":"2026-08-07T19:35:58.533658Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.521554Z","title":null,"venue":null,"work_id":"caad0fbe-fd38-4485-8380-91231d839bb1","year":null},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.105376Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:c95fef9fc22dd95fcd3c6155925f4f2cfb4b1c318e57442be23d96079f2982a7","observation_id":"1896c856-140e-434b-8ecc-eddcfca69499","resolution":{"observed_at":"2026-08-07T19:35:58.524694Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.512211Z","title":null,"venue":null,"work_id":"a7cfb757-490c-44ba-83e0-1723365f5995","year":null},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.108598Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:0224e2c1661afa1fb41ece106baf8529e0865778ecca6ede07fe0ce612d468da","observation_id":"d1abf645-6740-46ab-8a15-ee016faa3c19","resolution":{"observed_at":"2026-08-07T19:35:58.515244Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.503041Z","title":"The emerging field of signal processing on graphs: Extending high-dimensional data anal- ysis to networks and other irregular domains,","venue":null,"work_id":"4cf9d7bc-c2ae-48f1-bbdc-832e26ea18ed","year":2013},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.111532Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:4b185b9ae725c40a907036e63c7698b3f8458b17eb3abe014a78de3d1c7c21b3","observation_id":"7657c28d-d4ec-4372-a708-52c37d58d305","resolution":{"observed_at":"2026-08-07T19:35:58.506428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.494076Z","title":"Graph signal processing: Overview, challenges, and applications,","venue":null,"work_id":"268beac9-3328-4537-9a70-9bfbbfd2e0a3","year":2018},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.114797Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:f82db43feb67aa046d8eca6aa9503e12261cd94529653aa786612f658329f93d","observation_id":"e74abfcd-f7af-4a52-91b9-67ff6a8bcd37","resolution":{"observed_at":"2026-08-07T19:35:58.497391Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.484897Z","title":"From networks to optimal higher-order models of complex systems,","venue":null,"work_id":"747598c5-85e9-46a4-b130-4257f049bfda","year":2019},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.118042Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:302f1aaa1895d2dce3e0db87acca0ef5a1e96574cfd298c230a6f7f5d6165234","observation_id":"02db076d-3d30-4312-a973-91e3e1e5cd03","resolution":{"observed_at":"2026-08-07T19:35:58.488384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.476099Z","title":null,"venue":null,"work_id":"8bd549a8-cd2b-4034-bc2a-45679a20f1b6","year":2010},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.121247Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:d1566f715d5e37bc37203f65d4a51a6e52cd74091400c5034bd5fd90fb804761","observation_id":"b58823ad-9bc4-4137-bab7-2d810856b77a","resolution":{"observed_at":"2026-08-07T19:35:58.479187Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.124299Z","title":"Topological signal processing over simplicial complexes,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.124299Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:e354f50189cfeafb5d96b1bc2606c819e4c08a97aa34ec411f28e17eecebd586","observation_id":"7692874b-51c4-4b8b-bb52-02128de10a61","resolution":{"observed_at":"2026-08-07T19:35:58.124299Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.462187Z","title":"Signal processing on higher-order networks: Livin’on the edge... and beyond,","venue":null,"work_id":"02d75b71-52da-4acd-9e84-da3cf67fef0a","year":2021},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.127402Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:e96e67946901edb9282c81a52fe88854504d74ae25a59abb26162365e2edb02e","observation_id":"2b4f7db4-791e-4951-94ca-a09a32404072","resolution":{"observed_at":"2026-08-07T19:35:58.465355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.453637Z","title":"Simplicial convolutional filters,","venue":null,"work_id":"b1e4036f-69e7-43a1-b8c2-3966d88ee488","year":2022},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.130076Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:49f38e7e31db4787abb98102a3bef126f4eaac0530f37a7ae83160133bfeeb26","observation_id":"23874cc8-9be5-4a9e-9251-bef08b768417","resolution":{"observed_at":"2026-08-07T19:35:58.456861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.445472Z","title":"Weisfeiler and Lehman go topological: Message passing simplicial networks,","venue":null,"work_id":"fcbb5a37-5070-431e-8d11-eff303380077","year":2021},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.132688Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:4fa083276d91c6c0ddea68bdf4f1df8bb9a713139de99d618474254aabe1c34c","observation_id":"152278a6-7385-4418-8961-556b736bb26a","resolution":{"observed_at":"2026-08-07T19:35:58.448421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.438067Z","title":"Simplicial neural networks,","venue":null,"work_id":"3d548dc2-b136-4677-907c-16a9db02ee91","year":2020},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.135157Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:957a6aeca6f2983070a6120bed7a888e45b15fd8ba2f5e26b6f7f4d2ab9eaa18","observation_id":"0b8c0754-cdca-411a-9661-27d907e5a7f8","resolution":{"observed_at":"2026-08-07T19:35:58.440558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.02354","last_updated":"2019-12-05T02:49:56Z","snapshot_observed_at":"2026-08-02T15:33:36.231254Z","submitted_at":"2019-12-05T02:49:56Z","title":"HodgeNet: Graph Neural Networks for Edge Data","version":1},"cited_work":{"arxiv_id":"1912.02354","doi":null,"metadata_source":"pith","pith_arxiv_id":"1912.02354","snapshot_observed_at":"2026-08-07T19:35:58.292716Z","title":"HodgeNet: Graph Neural Networks for Edge Data","venue":"eess.SP","work_id":"0bc2c699-2e48-4961-b734-cb8fc0b1a2d5","year":2019},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.137566Z"},"links":{"cited_paper":"/paper/1912.02354","citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:80a088dbb5e41653c8381dbe0817ef1868cbc0fe49aa6089567f92482d47a617","observation_id":"ac642c3f-c66f-4b9f-a3df-f8fc79ddb6d9","resolution":{"observed_at":"2026-08-07T19:35:58.295779Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.07485","last_updated":"2022-03-26T11:41:22Z","snapshot_observed_at":"2026-08-09T20:26:04.361598Z","submitted_at":"2022-03-14T20:47:31Z","title":"Simplicial Attention Neural Networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.07485","snapshot_observed_at":"2026-08-07T19:35:58.140370Z","title":"Simplicial attention neural networks,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.140370Z"},"links":{"cited_paper":"/paper/2203.07485","citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:615a50edc663e0bd66a9bc90ae6e4fd7e166d49871a26102cd97b7f47a7892b2","observation_id":"21367cd2-d0c2-423a-87d6-02093f8b2ed5","resolution":{"observed_at":"2026-08-07T19:35:58.140370Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.430269Z","title":"Efficient rep- resentation learning for higher-order data with simplicial com- plexes,","venue":null,"work_id":"3ec4cfb6-bb26-4bb6-9b9c-4d1f4c4af6e2","year":2022},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.143142Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:c5122db4712b60e424097e754c0cf7759d70a0709ace750caa6044bdbc8e6723","observation_id":"ee3aa21b-d65c-4883-8c17-a70d9216fd32","resolution":{"observed_at":"2026-08-07T19:35:58.433139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.422514Z","title":"Tangent bundle filters and neural networks: from manifolds to cellular sheaves and back,","venue":null,"work_id":"7686fa5a-472a-4d27-967c-899ca16f2897","year":2023},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.145517Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:d47126a621b07d8fc1888cde3976923a09544b60f212a30b4c4cb6890a0e5c98","observation_id":"33d5b083-72f1-4e6e-a32c-b6e25313c832","resolution":{"observed_at":"2026-08-07T19:35:58.425384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.11323","last_updated":"2024-03-15T22:00:45Z","snapshot_observed_at":"2026-07-06T15:05:49.663199Z","submitted_at":"2023-03-20T17:57:15Z","title":"Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back","version":2},"cited_work":{"arxiv_id":"2303.11323","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.11323","snapshot_observed_at":"2026-08-07T19:35:58.272908Z","title":"Tangent Bundle Convolutional Learning: from Manifolds to Cellular Sheaves and Back","venue":"eess.SP","work_id":"c7ca130c-8dfb-4bc6-846d-f7a84793ab4d","year":2023},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.147972Z"},"links":{"cited_paper":"/paper/2303.11323","citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:e5b2e3172d8d0b4a0944db3b7aa07dc94e9dccb356d6172c4bd9629081ee589d","observation_id":"6d146f4f-efdc-465e-82ab-072935aefac1","resolution":{"observed_at":"2026-08-07T19:35:58.276303Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.414020Z","title":"Topological deep learning: Going beyond graph data,","venue":null,"work_id":"7dc1778d-df76-4477-824d-b2a9fd93282c","year":2023},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.151106Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:7af0a4c5fb46ebc6dae532c63efc2df7bc35a2fcaf68c9757072cb31a72dd290","observation_id":"2d123c84-075b-460d-9999-cfa8a4e77445","resolution":{"observed_at":"2026-08-07T19:35:58.417224Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.405549Z","title":"Cell attention networks,","venue":null,"work_id":"7b20d4a2-8ddd-4613-a4d2-234c38c442f7","year":2023},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.154057Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:21ba8a80c9020293853c3be44f88e99d95d5e44e0690c1f8c7d605a37bac4525","observation_id":"b119433c-118b-40ed-b5a9-295b12c449a2","resolution":{"observed_at":"2026-08-07T19:35:58.408661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.396730Z","title":"Fading models,","venue":null,"work_id":"02bba67b-41c8-4db7-8b7b-71c965fa48d7","year":2004},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.157097Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:c3afb7a5e87a73842d0b58c72900b5e1f02746db85fb28664b46b54174700569","observation_id":"ccb9836f-cc33-4363-b51f-68af8549af0b","resolution":{"observed_at":"2026-08-07T19:35:58.399777Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.387672Z","title":"An overview of the physical insight and the various performance metrics of fading channels in wireless communication systems,","venue":null,"work_id":"6edab924-ac98-4062-977c-053b43663785","year":2011},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.159937Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:0c88e55ea9d4cd261774853f3541ba76aa7fdc1526dbc55799826b97feaba947","observation_id":"f9059f11-9c04-48cf-b57b-0ee3ec03a97a","resolution":{"observed_at":"2026-08-07T19:35:58.390988Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.378811Z","title":"Fading types in wireless communications systems,","venue":null,"work_id":"14812e42-d344-4823-8f42-ba994be91c6c","year":2008},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.163036Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:333d010e4a6a1132d96879a8cf1f18aa4d4b737763f47bf6358dabddb6aa275b","observation_id":"df26e456-a9fd-4617-954c-d21b2b5e0486","resolution":{"observed_at":"2026-08-07T19:35:58.382075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.369846Z","title":"Unsupervised representation learning of structured radio communication signals,","venue":null,"work_id":"0bb10f50-ec92-42e4-9275-fe7abc52d476","year":2016},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.165957Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:8cf2fa30c04e6e094a0ec4eb4e3d486b31d38ffe9643e26f4e05c6d23b8f89a1","observation_id":"9e8952f2-d891-4923-9cd2-245bf30d6e45","resolution":{"observed_at":"2026-08-07T19:35:58.373043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1705.08044","last_updated":"2017-07-31T02:43:27Z","snapshot_observed_at":"2026-08-08T01:05:42.310020Z","submitted_at":"2017-05-22T23:47:47Z","title":"Detection Algorithms for Communication Systems Using Deep Learning","version":2},"cited_work":{"arxiv_id":"1705.08044","doi":null,"metadata_source":"pith","pith_arxiv_id":"1705.08044","snapshot_observed_at":"2026-08-07T19:35:58.260775Z","title":"Detection Algorithms for Communication Systems Using Deep Learning","venue":"cs.LG","work_id":"3cfe0e85-4d33-4de4-a5fb-6198ba774fef","year":2017},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.168819Z"},"links":{"cited_paper":"/paper/1705.08044","citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:1d39997fd728d6cc3be2f3b352edcdddc18dc61d9138a36ac883c94e7708c705","observation_id":"92494cb9-c541-441e-90bf-229c8bc076ea","resolution":{"observed_at":"2026-08-07T19:35:58.264325Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.361003Z","title":"Deep learning based communication over the air,","venue":null,"work_id":"13bedfd3-c8a6-4c59-8e3d-d97e5c8af7cb","year":2017},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.172323Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:1d094a3a3c6a4cca3e34e66418695318731c849208d56a0e4ccf72f8d09004f3","observation_id":"213d5be3-ac99-4efb-888c-403318501acf","resolution":{"observed_at":"2026-08-07T19:35:58.364217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.351773Z","title":"Over-the-air deep learning based radio signal classification,","venue":null,"work_id":"23e1b720-e74d-4b7b-9ea4-372cf1326c41","year":2018},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.175192Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:f3c4b63f7e459071631a335c9f8b8d65d5e9626b0d60d0860e33e5cd23ec89ab","observation_id":"c2bca977-6be2-4d17-b3af-544a8fd949f1","resolution":{"observed_at":"2026-08-07T19:35:58.355280Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.341841Z","title":"Deep joint source-channel coding for wireless image trans- mission,","venue":null,"work_id":"b3df3021-031c-4624-bb61-2ef4dad039da","year":2019},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.178012Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:d8da38e1d4c24505418a04cea805bdd932a762ddd2596f470a8709227b0aacf3","observation_id":"110fc12e-e777-4456-91ef-5b6d0206043c","resolution":{"observed_at":"2026-08-07T19:35:58.345274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.11166","last_updated":"2023-07-19T19:32:53Z","snapshot_observed_at":"2026-08-10T07:34:14.777954Z","submitted_at":"2021-05-24T09:16:04Z","title":"AirNet: Neural Network Transmission over the Air","version":6},"cited_work":{"arxiv_id":"2105.11166","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.11166","snapshot_observed_at":"2026-08-07T19:35:58.247695Z","title":"AirNet: Neural Network Transmission over the Air","venue":"cs.NI","work_id":"8da53a92-9639-4aee-9688-79e86fcae38e","year":2021},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.180854Z"},"links":{"cited_paper":"/paper/2105.11166","citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:cf1ba1e68fc81fb42097e71706f5b2a9cb036bf0222c45d0d67b082d85ccd8b9","observation_id":"f38cae7d-439d-4d41-abf0-c71d1f764df4","resolution":{"observed_at":"2026-08-07T19:35:58.251366Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08447","last_updated":"2024-05-21T14:35:50Z","snapshot_observed_at":"2026-07-06T14:52:38.498139Z","submitted_at":"2023-02-16T17:40:23Z","title":"Graph Neural Networks over the Air for Decentralized Tasks in Wireless Networks","version":3},"cited_work":{"arxiv_id":"2302.08447","doi":null,"metadata_source":"pith","pith_arxiv_id":"2302.08447","snapshot_observed_at":"2026-08-07T19:35:58.231528Z","title":"Graph Neural Networks over the Air for Decentralized Tasks in Wireless Networks","venue":"eess.SP","work_id":"4fc48067-e953-49a9-874c-92c919e888c2","year":2023},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.184146Z"},"links":{"cited_paper":"/paper/2302.08447","citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:bb5b761649761e558956f1584a85585399e986fcc61deb5a3b2a2e42d59a04ef","observation_id":"9091bcff-71e2-4eb6-9a52-06f0f6251ad2","resolution":{"observed_at":"2026-08-07T19:35:58.237183Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.332954Z","title":"Topological signal representation and processing over cell complexes,","venue":null,"work_id":"e4c7f3ab-c841-4368-afb7-74658457ceda","year":2022},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.187668Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:21648574f933223e38011fd0b2b760c0d01751b2178d879ad24838f608c87407","observation_id":"4afb34d0-dcea-4b51-acf0-7c49204ae180","resolution":{"observed_at":"2026-08-07T19:35:58.336198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.05614","last_updated":"2022-02-20T12:27:11Z","snapshot_observed_at":"2026-07-06T11:56:47.302637Z","submitted_at":"2021-10-11T21:11:59Z","title":"Signal Processing on Cell Complexes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.05614","snapshot_observed_at":"2026-08-07T19:35:58.190439Z","title":"Signal processing on cell complexes,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.190439Z"},"links":{"cited_paper":"/paper/2110.05614","citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:e4022fc26a9a102eeb47400f2f95c70ff9c56a4076fcc4c107a051aed9ed0293","observation_id":"02d3b825-3800-4379-bbbf-916c3bda270e","resolution":{"observed_at":"2026-08-07T19:35:58.190439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.323940Z","title":"Stochastic blockmodels: First steps,","venue":null,"work_id":"1a71be60-9f06-4a52-a9a6-a3cab34e05f5","year":1983},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.193610Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:51e4e4b5705a9375647f255a454a7f1b2b39f640abcdc4eec11af8f61bc04128","observation_id":"062b03bf-7d73-40cc-8209-7af62266dbb1","resolution":{"observed_at":"2026-08-07T19:35:58.327221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:35:58.314594Z","title":"An algorithm for finding a fundamental set of cycles of a graph,","venue":null,"work_id":"d7ac93ad-334e-4703-b1dd-c9a5bd6786db","year":1969},"citing_paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T19:35:58.196426Z"},"links":{"citing_paper":"/paper/2502.10070"},"observation_digest":"sha256:0d54293c8daabf7ed3a3969f8fa3a7ad977236eeaa714bd2bcbb1c29b4b23079","observation_id":"c429a6c3-e22c-45d8-a8b6-ef1b0736625e","resolution":{"observed_at":"2026-08-07T19:35:58.318179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.10070","last_updated":"2025-02-14T10:45:36Z","latest_version":1,"primary_category":"cs.IT","snapshot_observed_at":"2026-08-07T19:28:30.778835Z","submitted_at":"2025-02-14T10:45:36Z","title":"Topological Neural Networks over the Air"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":10,"verified_exact":5,"verified_fuzzy":23},"total_outbound_references":39},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"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."}