{"as_of":"2026-08-09T03:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ae825ce5c2e550d7047269007bb3a6c536eb7b977d1ff31ae0fcce43b6c9ed54","coverage":[{"denominator":56,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:36:18.579911Z","state":"measured"},{"denominator":56,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":56,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.14417/citation-record","integrity":"/paper/2505.14417/integrity","json":"/paper/2505.14417/citation-record.json","paper":"/paper/2505.14417"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:36:27.951884Z","title":null,"venue":null,"work_id":"48cae240-d53c-4d0f-afa2-b297fc1ac04c","year":2023},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:14.189579Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:b4d606887a66bd54e9224ce9eb40140b5aac7a8f81c3e63bb753fb0cf3f32cf1","observation_id":"25db49f9-bc85-4f32-88cf-fa0e35f49369","resolution":{"observed_at":"2026-08-07T15:36:28.038241Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:27.832364Z","title":null,"venue":null,"work_id":"1143dde6-426c-4cd4-a066-19fda26a10de","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:14.275094Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:e4b2f62046a625f817428e5efc4d3d19623ec68d0beee50b158c48c91a68c093","observation_id":"000dbd75-e914-4a09-935f-705d9971a7d6","resolution":{"observed_at":"2026-08-07T15:36:27.888793Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:27.695608Z","title":null,"venue":null,"work_id":"c336ec9c-1b56-4bc4-bc59-b5f3b03738ea","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:14.409399Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:ae302731897a4e39a088853c3b618fdc317d5615c36fbded2281e26f99d188ce","observation_id":"d2b27365-953a-460f-81ba-c231bdf68b0e","resolution":{"observed_at":"2026-08-07T15:36:27.748940Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:27.222569Z","title":null,"venue":null,"work_id":"45806bda-67be-4446-a8b5-66a26409fdeb","year":1987},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:14.591034Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:dfcd3366b456ab273249f935d9b9fe61ee77e84f1b2cfda42d80544b74a8f567","observation_id":"e2522948-b2e0-4c7c-922f-894f6455060d","resolution":{"observed_at":"2026-08-07T15:36:27.329389Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:26.993712Z","title":null,"venue":null,"work_id":"d5db3ae6-7ed0-4618-8f69-fc18947dbf2b","year":2019},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:14.713529Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:a411164a9513ae09c334065a1a8038ed403cf14192caa2e5469a27d64bad2562","observation_id":"92e42aaf-dcc5-4f5b-a9cf-362f146fb86c","resolution":{"observed_at":"2026-08-07T15:36:27.072835Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:26.764322Z","title":null,"venue":null,"work_id":"ce67c70c-f96b-41ce-bf0d-4f2a1420d7f6","year":2022},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:14.774670Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:63c4bfbf2d0343553f5cf5d8b913bbce3f4f98ec6622e646c76d5f4085f3d42e","observation_id":"e53d7cfb-80b3-4577-9560-f2640a81a8bc","resolution":{"observed_at":"2026-08-07T15:36:26.867531Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:26.651900Z","title":null,"venue":null,"work_id":"d18eb303-aade-4313-8e88-b54d2cc25a62","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:14.850377Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:d7c0b92bb6ef663bea41d97b5472cf6bf4947f066ffc8f61b0cf5b9df886e45e","observation_id":"17af3bc5-9132-4b91-b75c-08536bec7011","resolution":{"observed_at":"2026-08-07T15:36:26.714904Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:26.516817Z","title":null,"venue":null,"work_id":"5a18165c-03db-48f1-b833-d53f6e950d2d","year":2019},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:14.970028Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:18320ab75dbb6a14d4cf3ed6162665dab6d52ba5a5ad718f89f40c5c712cfcd7","observation_id":"d4dc982c-3eb9-4f4d-98b2-75039687225e","resolution":{"observed_at":"2026-08-07T15:36:26.588355Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:26.435182Z","title":null,"venue":null,"work_id":"082c8a5d-5c1f-4a66-926f-571ffcba1579","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.058451Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:4358009ae4f2a3085d06c65984ad5e61bdf725c05b46db77911f43c0af8476e6","observation_id":"044e6ab3-9394-470b-ab2e-d7a5d818ca24","resolution":{"observed_at":"2026-08-07T15:36:26.457299Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:26.245462Z","title":null,"venue":null,"work_id":"835dbcb2-7db7-45b2-bc5b-98e8dd4e281d","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.131128Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:2d5915a89260e60019d3f80946720e8248a0a42a7b1d0a0e8e1985ab82269df5","observation_id":"a7d8d439-756f-498e-a72f-2c9c0832299c","resolution":{"observed_at":"2026-08-07T15:36:26.331159Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:25.983356Z","title":null,"venue":null,"work_id":"d7a97726-83fb-4c1b-9dd0-998c7c3d0868","year":2020},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.251846Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:9bf48480c304f2754af8560ae509293fcfad6fc512fbf18c9ff496442903efbb","observation_id":"2c6a7144-367a-499c-9ff4-9f58c4d165cf","resolution":{"observed_at":"2026-08-07T15:36:26.040465Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:25.905960Z","title":null,"venue":null,"work_id":"03e285e5-b457-4b0f-a19f-6ff4dac162c7","year":2024},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.284609Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:c4f65285837bc69bdec68690e1551f78398d1388ebda3add1c5cfe3dd9b68344","observation_id":"f85e9e13-c58b-4819-b200-6924b7c12378","resolution":{"observed_at":"2026-08-07T15:36:25.931774Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:25.750830Z","title":null,"venue":null,"work_id":"b5f6cdd2-05e9-4640-b19c-7d3ae3b00f9f","year":2024},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.381496Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:6b89ad297d5d9101012c7d87713285ee79c2944e5f4cf344b8738aa2790c53c0","observation_id":"e60e63bd-e7b6-4aa2-9e20-3face4310d9e","resolution":{"observed_at":"2026-08-07T15:36:25.848286Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:25.659465Z","title":null,"venue":null,"work_id":"63660329-0d86-4cf3-be42-1aa910d7a0c5","year":2020},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.441738Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:7f9bf55c46046e8fe2a6d1b7c08f6a7bee5a118cb02c0a4ef8bbf8560eaa2050","observation_id":"ca4e9a99-2a26-4beb-945c-df57df2c1fff","resolution":{"observed_at":"2026-08-07T15:36:25.695062Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:25.495370Z","title":null,"venue":null,"work_id":"85103cc2-a719-41c2-9d3e-7fbc8dca5bf3","year":1995},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.485100Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:30db0516374f2d56695aaeb73b84b519952dbeefd68c8314c09de4f5c25bc677","observation_id":"2a05fe4d-59b2-47be-a187-8c93b774bc74","resolution":{"observed_at":"2026-08-07T15:36:25.576311Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:25.371841Z","title":null,"venue":null,"work_id":"64d1884e-8b6c-4d5e-84a5-eaa6f7f9dbe9","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.566490Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:685b87c068982d2c2cfbfed30b8a9f88edd06ce155dfc3dd6886f86ebcfe6501","observation_id":"5630083b-ff99-4b44-b74e-97a9d51cffe7","resolution":{"observed_at":"2026-08-07T15:36:25.443798Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.08554","last_updated":"2022-01-21T06:10:05Z","snapshot_observed_at":"2026-08-05T01:04:00.336374Z","submitted_at":"2022-01-21T06:10:05Z","title":"Enhancing Hyperbolic Graph Embeddings via Contrastive Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.08554","snapshot_observed_at":"2026-08-07T15:36:15.741993Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.741993Z"},"links":{"cited_paper":"/paper/2201.08554","citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:af79f31627f5d43c81552b3086b7ec90472e9decbf439ad65b6ed5e9a711c7df","observation_id":"7b650e5c-7f4c-4a66-bddc-8c2e4930a079","resolution":{"observed_at":"2026-08-07T15:36:15.741993Z","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":"2026-08-07T15:36:25.074417Z","title":null,"venue":null,"work_id":"4c942f3a-d40c-4f6e-8bc1-fb7a1e8fefd8","year":2019},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.816367Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:76cad35d7a826ae6d046120b2d39545ee384807749ce218817b907167f28ad37","observation_id":"7e6e2371-613f-4328-8a8a-305f06e77426","resolution":{"observed_at":"2026-08-07T15:36:25.162324Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:24.932807Z","title":null,"venue":null,"work_id":"55dc727e-0ae1-46cc-bd07-fba53d1fb8f7","year":2019},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.884428Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:2fa8cb1da212d830af824348cd77e1354dac619b1dbcf38921ab1bc9245f6d04","observation_id":"2daf782d-e733-4af1-8442-44c11d59359a","resolution":{"observed_at":"2026-08-07T15:36:24.999222Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.06611","last_updated":"2023-05-11T07:14:23Z","snapshot_observed_at":"2026-07-06T15:25:51.635688Z","submitted_at":"2023-05-11T07:14:23Z","title":"Hyperbolic Deep Learning in Computer Vision: A Survey","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.06611","snapshot_observed_at":"2026-08-07T15:36:15.930527Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.930527Z"},"links":{"cited_paper":"/paper/2305.06611","citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:bafbbd3c278850a3a0ec2691e47cdbd29aa3fb9b5b3080c999793389ff9087cf","observation_id":"e6f15aa0-def8-427b-a8f7-6c49bc445745","resolution":{"observed_at":"2026-08-07T15:36:15.930527Z","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":"2026-08-07T15:36:24.772965Z","title":null,"venue":null,"work_id":"b21dd9d4-4c9a-4da1-a835-3c41e3fd7fa5","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.031241Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:a1063500b07ea2b10fa6db9b59dec47f02d3bb21ab5c3df089bac3e1900671b1","observation_id":"1f21daa0-0c61-4d0b-a4eb-5e9e60d2b008","resolution":{"observed_at":"2026-08-07T15:36:24.858188Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:24.631914Z","title":null,"venue":null,"work_id":"1a0cabdd-34ba-4609-8f3c-ac2843acdd76","year":2017},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.109549Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:0c498210eca0e6f92382eff7005bd292a5c4b1939de932b8949eedd336d127f1","observation_id":"96e44991-598d-49db-8656-bd4f865ea8e9","resolution":{"observed_at":"2026-08-07T15:36:24.689613Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:24.413137Z","title":null,"venue":null,"work_id":"ba169baa-ea98-445d-9542-591b31c0adfa","year":2018},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.182893Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:588b65a771fc9f38ea5186c5b9618209df9a47ff512726b907be1ed3892266c0","observation_id":"9612ac36-7171-4d35-a7fc-9ece70f57e10","resolution":{"observed_at":"2026-08-07T15:36:24.580452Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:24.118593Z","title":null,"venue":null,"work_id":"27e8759e-ebd1-461f-a3b5-13b27eaaf2ee","year":2021},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.244512Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:7c4eb77fc0bb94d50c5583d0bfeb90084d3c7010b7de38f7daedfc00639938cd","observation_id":"872894b0-3e72-4d49-a910-e8272a811bba","resolution":{"observed_at":"2026-08-07T15:36:24.241824Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:23.918182Z","title":null,"venue":null,"work_id":"7edff193-d380-4150-8a5f-51edaec72944","year":2021},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.360083Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:c567edb1c509fceed94e2cdfc33b7acba10fde2a66c4debc7501e5f137fccbef","observation_id":"df8b76ed-b02d-4239-811c-8c9644ab2641","resolution":{"observed_at":"2026-08-07T15:36:23.995423Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.03251","last_updated":"2025-04-08T07:04:29Z","snapshot_observed_at":"2026-08-05T01:35:54.628039Z","submitted_at":"2025-02-05T15:06:09Z","title":"RiemannGFM: Learning a Graph Foundation Model from Riemannian Geometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.03251","snapshot_observed_at":"2026-08-07T15:36:16.433045Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.433045Z"},"links":{"cited_paper":"/paper/2502.03251","citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:30dfaf32043122aa1fb5429800cdc2083303b325c1105ecb4c7679b3f3a82aed","observation_id":"db193fc8-578d-4784-a3ea-1990286ec7bd","resolution":{"observed_at":"2026-08-07T15:36:16.433045Z","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":"2026-08-07T15:36:23.580603Z","title":null,"venue":null,"work_id":"4dd19ef6-c319-493b-88a6-ee93a6f279a0","year":2022},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.540913Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:dc1518c77129309a296cf324f47f94be2d2b6408dcb7dd64eada071753dd8b73","observation_id":"c107ad0a-9b2b-45c7-8e07-6132a5d74957","resolution":{"observed_at":"2026-08-07T15:36:23.725245Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.07971","last_updated":"2023-05-13T17:29:18Z","snapshot_observed_at":"2026-08-02T07:45:22.089527Z","submitted_at":"2023-05-13T17:29:18Z","title":"Tight and fast generalization error bound of graph embedding in metric space","version":1},"cited_work":{"arxiv_id":"2305.07971","doi":null,"metadata_source":"pith","pith_arxiv_id":"2305.07971","snapshot_observed_at":"2026-08-07T15:36:18.796100Z","title":"Tight and fast generalization error bound of graph embedding in metric space","venue":"stat.ML","work_id":"849fbcdb-2278-443d-aa00-73dad5c40b09","year":2023},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.592827Z"},"links":{"cited_paper":"/paper/2305.07971","citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:ab17e8c1849e8b94e67434bc58fe297084ba07ab9baf2688d837d6e896451fd9","observation_id":"7888d479-ac0e-41eb-bd85-54a12c0f57b3","resolution":{"observed_at":"2026-08-07T15:36:18.881200Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:23.355291Z","title":null,"venue":null,"work_id":"155ccbcf-443c-4d21-a92e-88ae448b6410","year":2021},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.697739Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:841da096df199d8df7ddce37a9d310435398063ee11457a081d1f69ee1f3c339","observation_id":"4b3393d1-7376-411c-a734-9b7d982d82c7","resolution":{"observed_at":"2026-08-07T15:36:23.457056Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:23.135879Z","title":null,"venue":null,"work_id":"3eaa13fc-3564-4da0-ba63-f99f1e6321b1","year":2018},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.769782Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:117a5fcc97286a6df0c0604d25ceba4e35c0f2c75ba3ff8d687ee8bf9c74c0e4","observation_id":"f905fca4-478c-4c6d-9bd7-07c1d7638445","resolution":{"observed_at":"2026-08-07T15:36:23.220950Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.09288","last_updated":"2023-07-19T17:08:59Z","snapshot_observed_at":"2026-08-07T12:56:43.323460Z","submitted_at":"2023-07-18T14:31:57Z","title":"Llama 2: Open Foundation and Fine-Tuned Chat Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.09288","snapshot_observed_at":"2026-08-07T15:36:16.833801Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.833801Z"},"links":{"cited_paper":"/paper/2307.09288","citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:26b5fa2fe6b9601e7b9868d0d0d6f19e244b549b8b725c8b02a9f210e53881a2","observation_id":"79ef5f12-7728-4580-8a1b-3fa6a8594721","resolution":{"observed_at":"2026-08-07T15:36:16.833801Z","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":"2026-08-07T15:36:22.986595Z","title":null,"venue":null,"work_id":"41472360-21a8-4c3b-84e4-f4d1ccfff8c0","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.912904Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:acb423bbe762355393083770a79a8efa4a87bd218c8cd9c10442d42377add010","observation_id":"d68c7e81-42e9-48d6-ad10-c293123d6d9d","resolution":{"observed_at":"2026-08-07T15:36:23.070433Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:22.845521Z","title":null,"venue":null,"work_id":"1ee7876b-7e3a-4691-99c6-d8e0e9affdc4","year":2017},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:16.993854Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:1506e82f6fdcf46cfb6b70d154b89464c9d16c574eb70e56c156c72991c3a469","observation_id":"d50c8a5f-6400-439a-948d-c3508a612619","resolution":{"observed_at":"2026-08-07T15:36:22.875365Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:22.723453Z","title":null,"venue":null,"work_id":"fa0fe0e2-adb2-4131-abd8-5ca0dcee82b0","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.054009Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:a7a9d4d9f9cedd9d73516b2d8fe9d62a6983c989b6a6dd032e44b80e5fff8d90","observation_id":"4650b67c-7521-4485-a296-ac2a84069e02","resolution":{"observed_at":"2026-08-07T15:36:22.779235Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:22.427054Z","title":null,"venue":null,"work_id":"4a511d45-4038-489a-a82d-17a19384b299","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.235952Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:a78a0b037cac770e6416a7acd8c69421ed6e390dd23430ec7b7cbd662ff35f53","observation_id":"dd827b99-49e8-4dba-8a7f-bdc3a57b2a26","resolution":{"observed_at":"2026-08-07T15:36:22.530522Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:22.254703Z","title":null,"venue":null,"work_id":"e8251716-420d-4bfe-8756-360904cacb1a","year":2020},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.302870Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:5fef16a33f2a317b65202e92029184db3d478c73de794e3b38db149a9f11ab46","observation_id":"e8810c5c-87a3-4720-9d6a-96bb13bdc8e1","resolution":{"observed_at":"2026-08-07T15:36:22.336844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:22.021624Z","title":null,"venue":null,"work_id":"d08c736a-fa79-416b-99b2-ad56d74f3529","year":2023},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.409693Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:6596be306df27ed43fddf354b1d619a79bd8a84d6a36b37dac177acba0d990d1","observation_id":"0cda2248-2537-45f4-a675-5d8652b1331a","resolution":{"observed_at":"2026-08-07T15:36:22.146631Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:22.614308Z","title":null,"venue":null,"work_id":"30046103-9fd4-428a-ba79-fb4c63af1855","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.158376Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:e2209ae68b542637b0ded6a9753a33e5e882b98358653b04cba4dfdd9f7ab396","observation_id":"59488f5e-5813-444e-839f-0220a7c7205e","resolution":{"observed_at":"2026-08-07T15:36:22.685531Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:21.616936Z","title":null,"venue":null,"work_id":"35492ce7-b5cc-43b4-af60-ba3d07fde78c","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.550039Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:d77ed5ab5a9f5ef9aada0844327b5c822a61062c422efc84acfb300ad1664fbb","observation_id":"ea39e45f-1033-43f9-93e5-3033ed22b3c3","resolution":{"observed_at":"2026-08-07T15:36:21.750387Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:21.154084Z","title":null,"venue":null,"work_id":"2f095350-e847-4c58-904a-627f741c493f","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.737044Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:b0a01e9e87ce6ebae1136b38700b23c98fdbf02b700fa1ce7745e3ebda61fb19","observation_id":"6fe4c433-5755-4250-bc4c-261e924249c7","resolution":{"observed_at":"2026-08-07T15:36:21.276595Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:20.905828Z","title":null,"venue":null,"work_id":"ad967ab4-bdf6-445d-8f0e-f25842eb2849","year":2022},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.904397Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:7f5477fcd56029e36c963d9e62529dd8e8ee0d133a65ab36fa2f55d198bdb887","observation_id":"2e6c9cf2-05d6-440e-86d2-c2596ddf2422","resolution":{"observed_at":"2026-08-07T15:36:21.042345Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:21.843393Z","title":null,"venue":null,"work_id":"f52e122b-d329-4f30-a8f9-6fcd6422c12a","year":2020},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.469666Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:ed97093e2bb5ac8c56662195e862375297b6147843a50bd09992542204a05445","observation_id":"7055810a-a05b-40b4-8e8e-ff4a86c88630","resolution":{"observed_at":"2026-08-07T15:36:21.874404Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:20.349715Z","title":null,"venue":null,"work_id":"bcce57c9-abda-4c8c-839c-163ac74c6ce7","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:18.083134Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:712992d49fdd3f9b65030df3f8376c6426b1e6655d287294d45be8712ef3d914","observation_id":"a7bfd673-c25f-4807-813e-a43bd2959eca","resolution":{"observed_at":"2026-08-07T15:36:20.489511Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:21.410076Z","title":"InNeurIPS","venue":null,"work_id":"850e8689-7d1e-417f-9905-bae293789a24","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.664809Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:2942ee4ccf18d6fd7dea6515ed2b6078181ab5fbf1695cb05dbd6bf949421348","observation_id":"98229376-dfe1-4e71-9e31-08493533c9c3","resolution":{"observed_at":"2026-08-07T15:36:21.520257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:19.735340Z","title":null,"venue":null,"work_id":"1be73308-a8b3-4cc8-9de0-6a5d2cf208d4","year":2022},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:18.323067Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:315eb8ae183a69375e3dcf581d20a56cd835a1a86bdf12f8b0d9106507464af6","observation_id":"e9a34cd3-06a7-498c-af29-4a49348a549d","resolution":{"observed_at":"2026-08-07T15:36:19.847212Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:17.829713Z","title":"ArXiv abs/2410.04010 (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:17.829713Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:87b39f3c8ab8c6a0e0658dc8552c0441e468b00d1fada9fb555524d474904d43","observation_id":"61c0033e-d0a1-430d-9888-ae30c919cd5f","resolution":{"observed_at":"2026-08-07T15:36:17.829713Z","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":"2026-08-07T15:36:19.306289Z","title":null,"venue":null,"work_id":"a6588fcf-dc4f-4513-aafd-874cdc895019","year":2023},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:18.470555Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:c32f3fe56488c5bacaf21336c6e1426b3d74d6cf4bb52bb4d3b2cbc61359f2d7","observation_id":"136b8f2c-1d12-49f2-834f-15bcfc668586","resolution":{"observed_at":"2026-08-07T15:36:19.380626Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:20.634574Z","title":null,"venue":null,"work_id":"00b16b4e-aa62-438e-87ba-61a28bbcbe6f","year":2024},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:18.025605Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:7d16b0467618f97ff4a97a74f7a71160385a1fe262f0af4c33102827d89bfdba","observation_id":"db9660bb-e85e-448b-be17-bbb8cfd963d3","resolution":{"observed_at":"2026-08-07T15:36:20.794800Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:19.034288Z","title":null,"venue":null,"work_id":"d0f520fd-7749-4581-9c00-7903533a92ba","year":2020},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:18.579911Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:c937844169fc61c13852c427a33107a9f8cdc654c11954b76ae17b94c0a1733d","observation_id":"0bc3eb6b-429a-4397-9c59-63fa37d7da85","resolution":{"observed_at":"2026-08-07T15:36:19.077075Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:20.042777Z","title":null,"venue":null,"work_id":"2899903f-748b-4440-99a8-4b5cda5e1af2","year":1975},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:18.164718Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:6e0561958d63f697b87c15f22881066b75e81268726ebc7026e2f1d49e60317b","observation_id":"00abf4ec-2da4-420d-836f-357821aaa17a","resolution":{"observed_at":"2026-08-07T15:36:20.160192Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2202.13852","last_updated":"2025-08-22T21:56:34Z","snapshot_observed_at":"2026-08-04T02:42:33.035886Z","submitted_at":"2022-02-28T15:08:48Z","title":"Hyperbolic Graph Neural Networks: A Review of Methods and Applications","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.13852","snapshot_observed_at":"2026-08-07T15:36:18.239753Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:18.239753Z"},"links":{"cited_paper":"/paper/2202.13852","citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:8103a8eb5987f8fc53b91e43ab86abf994ebd6fb9f796c397f5503fa8cacd1ff","observation_id":"418ca613-2c69-4806-ab0e-20087c61d797","resolution":{"observed_at":"2026-08-07T15:36:18.239753Z","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":"2026-08-07T15:36:19.466721Z","title":null,"venue":null,"work_id":"86443c39-58d4-477c-9431-cf170eb3c8c5","year":2020},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:18.413770Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:b50cce0136969dd0991fef6431e0b6167d842f40ca73a4138b31935a8cb66460","observation_id":"794d316f-5446-4f06-8edc-fbe22910e531","resolution":{"observed_at":"2026-08-07T15:36:19.582622Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:19.169647Z","title":null,"venue":null,"work_id":"9941e311-dd8f-4514-a4b1-6b457afb7899","year":2021},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:18.541802Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:f735083380a0b5b62373f6d847915848b9d98996db1e07b436ee01ebde41bf66","observation_id":"1a9af28e-1283-4752-bd0a-d7d3946d49ac","resolution":{"observed_at":"2026-08-07T15:36:19.240265Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:27.440403Z","title":null,"venue":null,"work_id":"2a9e1e24-d3a0-496c-8555-30dd36b7c27c","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:14.535536Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:88319bf1542ee091c52f1177aa4635fa6fbdd73679096e699abfbea58585bdb7","observation_id":"24818985-d408-4dbb-9c6f-7bbf81eb210a","resolution":{"observed_at":"2026-08-07T15:36:27.571701Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:26.117137Z","title":null,"venue":null,"work_id":"2710dc51-5e15-4b04-988a-bc3f10a0ce52","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.208981Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:d5a165b5be30ba8fcdd73333963be1a8417fba26d9ae551a552ef6804394e1cf","observation_id":"c30ae85e-9877-497d-9cac-8b50b946a4ea","resolution":{"observed_at":"2026-08-07T15:36:26.159364Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:36:25.224051Z","title":"In FedKDD workshop at KDD","venue":null,"work_id":"0fa6656c-b0a7-400c-bb6b-c96b9f84b1f3","year":null},"citing_paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T15:36:15.633446Z"},"links":{"citing_paper":"/paper/2505.14417"},"observation_digest":"sha256:3546d9a30cf075b8dd1650a8ed2a382dce8afca1b80c6936e0c86e952825e237","observation_id":"1db01f73-f88b-4e6b-953f-1852ceca084e","resolution":{"observed_at":"2026-08-07T15:36:25.283723Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.14417","last_updated":"2025-05-20T14:28:59Z","latest_version":1,"primary_category":"cs.CG","snapshot_observed_at":"2026-08-07T15:32:09.602779Z","submitted_at":"2025-05-20T14:28:59Z","title":"Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks"},"reference_resolution":{"displayed":56,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":53,"verified_exact":1,"verified_fuzzy":2},"total_outbound_references":56},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2505.14417."}