{"as_of":"2026-08-09T21:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:595577fc4f3135d593d2ac49a487abfe55b87d57579df009f89375bc75fe44f8","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T12:25:33.670643Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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":"2026-08-04T06:26:33.711511Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"cited_work":{"arxiv_id":"2507.21873","doi":"10.48550/arxiv.2507.21873","metadata_source":"pith","pith_arxiv_id":"2507.21873","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","venue":"cs.AI","work_id":"24df265a-c940-413f-8f13-69b136bf28a5","year":2025},"citing_paper":{"arxiv_id":"2601.10485","last_updated":"2026-08-02T18:15:20Z","snapshot_observed_at":"2026-08-08T06:01:36.811814Z","submitted_at":"2026-01-15T15:06:56Z","title":"Panning for Gold: Expanding Domain-Specific Knowledge Graphs with General Knowledge","version":4},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-04T06:26:33.711511Z"},"links":{"cited_paper":"/paper/2507.21873","citing_paper":"/paper/2601.10485"},"observation_digest":"sha256:bfa88179309d7a8ba91373194aba3636fe6a50618334b162cc9e7e49eabd365e","observation_id":"e1a3f898-2c88-42ff-9164-0cf500edbc9c","resolution":{"observed_at":"2026-08-04T06:28:23.293597Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.21873/citation-record","integrity":"/paper/2507.21873/integrity","json":"/paper/2507.21873/citation-record.json","paper":"/paper/2507.21873"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T12:25:33.963282Z","title":"Semantic Probabilistic Layers for Neuro-Symbolic Learning","venue":null,"work_id":"4d64d43c-e7a5-408c-aa9f-a0709b348c8a","year":2022},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.567440Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:6ab1241baeffe47d222698b7bfce643665603b1fde5b2979b8182b332621c7f3","observation_id":"ed9d58a0-ef3a-4954-affd-d489affe541a","resolution":{"observed_at":"2026-08-06T12:25:33.965949Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.956674Z","title":"Logic tensor net- works","venue":null,"work_id":"eccef9a1-ff96-4880-b9b4-aecae9c72764","year":2022},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.570466Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:839e48c6eaecda89fc1f2801e2d59543af8238b3805c992f5ef9b5e7e9f9e9fe","observation_id":"838424b4-ee34-447d-8566-c0b240bdc8e1","resolution":{"observed_at":"2026-08-06T12:25:33.959088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.949139Z","title":"The logical expressiveness of graph neural networks","venue":null,"work_id":"8666f9ed-fddd-492f-b7e8-337bdcd50bed","year":2020},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.572990Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:02996084d5e9224571db1d39995b483674164223b079440a12f96a5f494140ba","observation_id":"f0239c37-2b4b-4905-9e28-00c4e5f00672","resolution":{"observed_at":"2026-08-06T12:25:33.952544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.942182Z","title":"Controllable neural symbolic regression","venue":null,"work_id":"0d6a5a35-4e27-4952-be30-d90c7f4eb75b","year":2023},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.575634Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:af38ac8601280b87c0371e2361e908a677354a59167c4740f388b744464db699","observation_id":"b5d01380-b207-408b-aa40-9923cbd7fb4f","resolution":{"observed_at":"2026-08-06T12:25:33.945055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.935596Z","title":"Neural-symbolic learning and reasoning: A survey and interpretation","venue":null,"work_id":"fd36e5dd-4c94-4aec-a604-4e2b1aa4a411","year":2021},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.578417Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:4144f74c2ce766206902145c4d920a4b2a1bff58e4b851fbe9dbbe7576f4c7f9","observation_id":"141d7098-4ccd-4ce3-b6b4-4c32ef42b5de","resolution":{"observed_at":"2026-08-06T12:25:33.938176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.928938Z","title":"Neural sheaf diffusion: A topological perspective on heterophily and oversmoothing in gnns","venue":null,"work_id":"5f4c4ac7-2a03-4db1-864e-df82acde0804","year":2022},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.580908Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:0fab6eca1f693a674cfe05ea7e6b3664dfbdbc4aaa3d1b30b215df858e7cd1bb","observation_id":"f368e170-c541-464d-9591-456bfb22d872","resolution":{"observed_at":"2026-08-06T12:25:33.931398Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.922480Z","title":"Getoor and B","venue":null,"work_id":"b522a8e7-2663-465e-b0d4-7c6b8a8aa42e","year":2007},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.583687Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:f91cf92eec6b3861dd78fc3affefe9f777baeb68a04cd4435e5272811022aae5","observation_id":"ad97dee3-265b-4f89-a7cf-20cb6cf659ec","resolution":{"observed_at":"2026-08-06T12:25:33.924891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.915284Z","title":"Hamilton, Zhitao Ying, and Jure Leskovec","venue":null,"work_id":"cbbe0345-4277-44a6-8101-14067ca7ebe8","year":2017},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.586063Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:07e4f251fa260ff09ab549be1c4032ba9695a759534f430e1e00c8c08d76f184","observation_id":"a91e6693-2a58-47c2-b3ff-d3a722ce58cb","resolution":{"observed_at":"2026-08-06T12:25:33.918336Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.908419Z","title":"HAWQS System 2.0 and Data to model the lower 48 conterminous U.S using the SWAT model, 2023","venue":null,"work_id":"871f01f3-8bcc-4340-99de-98037fb6bd57","year":2023},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.588456Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:45f48676547d2ac8fb1c09559dbdcfa32b1113363a5723818ed926c4ed1ea9d2","observation_id":"9805f1c8-8709-4f20-af15-86ca7444b5db","resolution":{"observed_at":"2026-08-06T12:25:33.910994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.901743Z","title":"Neuro- symbolic approaches in artificial intelligence","venue":null,"work_id":"a0d96094-9929-4e3b-881c-83cbcaa8db39","year":2022},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.590967Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:6a20a0c83be696e73ec2f4593e42871b0ebdbf0f61cd3c7b2dd32aa01301ac78","observation_id":"6122c6c7-9fd2-4702-99c4-9fc496a79178","resolution":{"observed_at":"2026-08-06T12:25:33.904322Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.894445Z","title":"Relational Bayesian networks","venue":null,"work_id":"57071199-5b8f-418d-8d57-cd283f578967","year":1997},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.593286Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:e2330797bd44c46882573527b4843383962f77ab167043b45bd213062af3a495","observation_id":"1ee72a82-7fa4-4e93-876e-3f0dbf4f7259","resolution":{"observed_at":"2026-08-06T12:25:33.896857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.887592Z","title":"Parameter learning for relational Bayesian networks","venue":null,"work_id":"a4b563c4-ec94-4584-9afe-82851d401c4a","year":2007},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.595693Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:48e9df27bc1504b0f66fc9b1ad57410e6ca2bdae486eb96d0ec16affbfe0cda8","observation_id":"61e6eb55-66df-4f66-83e4-b40bc4b750a7","resolution":{"observed_at":"2026-08-06T12:25:33.890339Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.880905Z","title":"Learning and Reasoning with Graph Data: Neural and Statistical-Relational Ap- proaches","venue":null,"work_id":"5bcde83f-8f41-44ee-82ef-f313f502459b","year":2022},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.598067Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:a7c0a6c4ccc35fef973db8522e93de04e1e42302f49ba142ec84819aa3115ca0","observation_id":"e7209e0b-2ec0-4def-855c-8860481c2392","resolution":{"observed_at":"2026-08-06T12:25:33.883540Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.874333Z","title":"The third AI summer: AAAI Robert S","venue":null,"work_id":"4bf77ea8-b7f9-4b63-87db-9ef75ae6c097","year":2022},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.600969Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:011825692ff15b99a8e61cf32b6488137c6b1be2fc5b52215cafe62fd21236dd","observation_id":"f2ee23b7-6d64-41db-ae2a-3625fc6e5481","resolution":{"observed_at":"2026-08-06T12:25:33.876849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1611.07308","last_updated":"2016-11-21T11:37:17Z","snapshot_observed_at":"2026-08-06T06:17:37.090691Z","submitted_at":"2016-11-21T11:37:17Z","title":"Variational Graph Auto-Encoders","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.07308","snapshot_observed_at":"2026-08-06T12:25:33.603577Z","title":"Variational graph auto-encoders","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.603577Z"},"links":{"cited_paper":"/paper/1611.07308","citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:c3e61253cde547e92c169a48b3ac518cb7ae5525d4ec54b362c2951376b7de9a","observation_id":"c7a1e7ac-1cdd-4332-a94a-4e95a242da16","resolution":{"observed_at":"2026-08-06T12:25:33.603577Z","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":"2026-08-06T12:25:33.867697Z","title":"Lamb, Artur d’Avila Garcez, Marco Gori, Marcelo O.R","venue":null,"work_id":"909a7579-da0c-4429-bbc6-12add21b4f88","year":null},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.606334Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:ab2ec6c23599a34f9aae1df28bc764a1e4c08916544bda841bec4497f9a3c5c3","observation_id":"326c4da1-4640-4f70-88bf-cc0a09b0bad5","resolution":{"observed_at":"2026-08-06T12:25:33.870283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.861188Z","title":"Siddharth","venue":null,"work_id":"4ee31bc9-78e4-4f9b-aa25-91166ad784b1","year":2022},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.608916Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:7eebe16b9f8de2a66c9a17dcd9ebb750379ef26ae9b212e1ce6f4e5f05c15fa1","observation_id":"9925140f-1e26-4e75-8abb-350a32e2c9e0","resolution":{"observed_at":"2026-08-06T12:25:33.863574Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.854670Z","title":"Efficient gen- eration of structured objects with constrained adversarial networks","venue":null,"work_id":"1d5a515f-4a2b-42ab-ae39-f45d2d9ef67c","year":2020},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.611618Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:40a473f5e24688dea3cfffa5d0fc432249be75c01894ec1e4e683654df0c70d6","observation_id":"395e3f5c-336d-48cb-9b41-b47d3d9231c1","resolution":{"observed_at":"2026-08-06T12:25:33.857115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.848097Z","title":"Graph normalizing flows","venue":null,"work_id":"916e8105-e8db-474a-b4f4-b526c393436e","year":2019},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.614026Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:a245e85a0050c31124272de81180230fa743880ab6b1d68c622b4b1a447edba0","observation_id":"2b0cb2f6-a6bf-4f45-ab71-398aa29f391f","resolution":{"observed_at":"2026-08-06T12:25:33.850387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.841661Z","title":"On performance discrepancies across local homophily levels in graph neural networks","venue":null,"work_id":"c55772aa-3f2c-4d82-87c1-bf78ca593912","year":2024},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.616704Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:78600b26587bdb74e2d296f76ede5b7226ea7d1bf922b6f3e1e617de3a591298","observation_id":"feea62d5-e387-43eb-af41-6b237278ac24","resolution":{"observed_at":"2026-08-06T12:25:33.844143Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.09618","last_updated":"2024-07-12T18:04:32Z","snapshot_observed_at":"2026-08-06T01:25:59.316954Z","submitted_at":"2024-07-12T18:04:32Z","title":"The Heterophilic Graph Learning Handbook: Benchmarks, Models, Theoretical Analysis, Applications and Challenges","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.09618","snapshot_observed_at":"2026-08-06T12:25:33.619441Z","title":"The heterophilic graph learning handbook: Benchmarks, models, theoretical analysis, applications and challenges","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.619441Z"},"links":{"cited_paper":"/paper/2407.09618","citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:73cb112a8310f13b11e37c6a9f0624a2002358bd4d2355da9fcf5529868f7dab","observation_id":"a856b732-b9c0-4487-89cc-bb89d9b6aee9","resolution":{"observed_at":"2026-08-06T12:25:33.619441Z","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":"2026-08-06T12:25:33.834331Z","title":"Deepproblog: Neural probabilistic logic programming","venue":null,"work_id":"f5ecedea-da83-477e-8d1a-e175f5dd6a0c","year":2018},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.622139Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:584ecaacdb5a824075b8b041b7b04405f54744003b44d4920b84214a43c42742","observation_id":"df8ed789-cc2a-4267-b603-d55d86eba23c","resolution":{"observed_at":"2026-08-06T12:25:33.836764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.827281Z","title":"Neural probabilistic logic programming in deepproblog","venue":null,"work_id":"dcab5aa0-07de-4672-849e-3d226c4de623","year":2021},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.624546Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:b0da2824b62d025f2550a1e4a5eda35dfe93080de657991b60363638304ac5ef","observation_id":"8c684322-804b-43c4-9251-60da5c5a8910","resolution":{"observed_at":"2026-08-06T12:25:33.830408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.820733Z","title":"Neural markov logic networks","venue":null,"work_id":"d459b41e-5b29-4280-b41a-62389b0d3f5d","year":2021},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.627185Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:f59b42be489ee15ed399c6296439ae472b9e2ea6b2f09b31e7a8bcdb2c2499f1","observation_id":"236e215e-2942-423e-8e07-1fda249676fd","resolution":{"observed_at":"2026-08-06T12:25:33.823145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.814169Z","title":"VAEL: Bridging Variational Autoencoders and Probabilistic Logic Programming","venue":null,"work_id":"d4df4e07-d6c3-4f51-93e7-a27b9646568a","year":2022},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.630187Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:e9f347c2257b6bcad09122e26651b0a0943613fd46f77fb5244019c46038c35e","observation_id":"6d5a281c-4b4c-4ce0-bef6-d7cdaf78dced","resolution":{"observed_at":"2026-08-06T12:25:33.816593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.807530Z","title":"Primula-3 for probabilistic modeling and reasoning on graph data","venue":null,"work_id":"fa2a6f3b-f7a4-40e8-89b8-3d24b3d9cc4a","year":2025},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.632618Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:4ffabc35f01e4f4b1824309acc3ccb96acb27f6ced41df57b899b69df995d8d8","observation_id":"de9c48ce-fd01-49e2-8a25-bdef0770687e","resolution":{"observed_at":"2026-08-06T12:25:33.810001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.801082Z","title":"Generalized reasoning with graph neural net- works by relational bayesian network encodings","venue":null,"work_id":"999f7b39-6c5a-4bc2-a003-eae7327babda","year":2024},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.635539Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:efaedfbfb4aa86a1d0fbe80af89daebee28a9533df5e7be60cfab0c22a1bfc96","observation_id":"fcf65122-e2ca-411d-9977-2615afd29648","resolution":{"observed_at":"2026-08-06T12:25:33.803584Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.794326Z","title":"Using domain knowledge to guide dialog structure induction via neural probabilistic soft logic","venue":null,"work_id":"099b0808-f895-4ee7-b93b-f483161cab5b","year":2023},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.638015Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:adad9a47bfd9328e52383ccea27f5d7622f1b726e6a4e108a35e5f562b439304","observation_id":"c3d82214-48ab-4c00-a3bc-4e6ecc900f29","resolution":{"observed_at":"2026-08-06T12:25:33.797076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.787609Z","title":"Gmnn: Graph Markov neural networks","venue":null,"work_id":"176ead09-7ba1-4d75-949c-8cf9e3d1e6cc","year":2019},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.640400Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:8df14e1320b2a6ccb7ef3b7251802c8efd8f20eb85b0f9b6c71c641819a0d6cb","observation_id":"aac6be04-4067-4d19-9926-7aac2875e8c0","resolution":{"observed_at":"2026-08-06T12:25:33.790148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.780880Z","title":"From statistical relational to neuro-symbolic artificial intelligence","venue":null,"work_id":"e139105b-7cf3-41ac-aa25-f974ffec8ac1","year":2020},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.643301Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:ec56c7690aa3d2984b3a775b0f8b6bba61c1d71361f5aa9c5310abcbffefe072","observation_id":"5ccdcda0-3dc8-4056-b0d5-51478213d691","resolution":{"observed_at":"2026-08-06T12:25:33.783443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.773996Z","title":"Graphvae: Towards generation of small graphs using variational autoencoders","venue":null,"work_id":"be50d3ec-c879-42ff-98ed-689d5585d49d","year":2018},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.645709Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:1103fff40358d468eb061519459a4bfb00dc381621d1000a784befd2d41ce096","observation_id":"2ab34081-fd83-48d4-85b4-2657ec4e38e6","resolution":{"observed_at":"2026-08-06T12:25:33.776590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.766998Z","title":"Scalable neural- probabilistic answer set programming","venue":null,"work_id":"66732914-963e-42bb-89fe-9849efabc6ae","year":2023},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.648371Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:1894c79f1ee39ae92673f84b8c1eee33722fc4f3bab57b665ac3a422c5427f2f","observation_id":"29d67049-6f6c-4eca-b8fd-d76605ba2d42","resolution":{"observed_at":"2026-08-06T12:25:33.769705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.759839Z","title":"Lifted relational neural networks: Efficient learning of latent relational structures","venue":null,"work_id":"1f1f0d1e-add8-4a07-aeb0-b5192dfe6d1c","year":2018},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.650767Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:60711cdb5f3f2283873566791184bce4b9963a5420b5c72a55b240fe0742760d","observation_id":"a1a4aaea-d515-48ee-8a12-5ce2376e41ed","resolution":{"observed_at":"2026-08-06T12:25:33.762531Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.752469Z","title":"Beyond graph neural networks with lifted rela- tional neural networks","venue":null,"work_id":"2774852d-f0a6-44cf-acb1-65a11c3bac1f","year":2021},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.653550Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:2755523ebdf4fee27f7b5195cb01c0b96ba7207616298e4353d7dc72551aeffc","observation_id":"85f50e17-ed6f-4842-a65a-d93139110c3d","resolution":{"observed_at":"2026-08-06T12:25:33.755075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.745079Z","title":"Soil and water assessment tool (SWAT)","venue":null,"work_id":"a4017b74-bc3b-46a1-87d4-adf4ffad16a9","year":null},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.655851Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:aac502978154bc1ad71e3fabbd53fddccf8275eb22a5a316938a73d1be011d62","observation_id":"63035fc1-14f8-4f10-86b1-09922908258b","resolution":{"observed_at":"2026-08-06T12:25:33.747664Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.737697Z","title":"A-nesi: A scalable approximate method for probabilistic neurosymbolic inference","venue":null,"work_id":"1e9e4653-ef32-489d-b40a-21fb4420d3d3","year":2023},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.658458Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:56bda44e2e708613c1167ee88d91f9dbfd39b015d7918d6001d4845d887ac17a","observation_id":"e91e4c0b-b478-4f03-9a4b-0ee3c6c6cb0f","resolution":{"observed_at":"2026-08-06T12:25:33.740132Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.730512Z","title":"Two sides of the same coin: Heterophily and oversmoothing in graph convolutional neural networks","venue":null,"work_id":"99274a13-7460-4011-bb0d-d575194f80d7","year":2022},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.660971Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:5df47f4f51666b9ccbd8eff288f32826f838b57587961b404515e8fe441f7784","observation_id":"392622c1-ae15-4db3-a649-5bef5c077fd5","resolution":{"observed_at":"2026-08-06T12:25:33.733070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.722906Z","title":"Neurasp: embracing neural networks into answer set programming","venue":null,"work_id":"d6300281-859e-4b6c-b1e2-09e9fcd86477","year":2021},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.663285Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:7d57ae8e13073c7095657840078b7c2f08f3a26f94325a6f1b9c61226c73cbd8","observation_id":"1b38982a-3256-49e5-9134-7d2720375357","resolution":{"observed_at":"2026-08-06T12:25:33.725696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.714315Z","title":"A survey on neural-symbolic learning systems","venue":null,"work_id":"18257d39-0e8f-4b8d-bead-9ed389a42701","year":2023},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.665730Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:f72a77e63ea5470bd663b5c901e1e1ca5ea81825c7c42e1609cc26dc48cc3097","observation_id":"fa269c5c-3859-4dea-b81d-d4d351daf9b7","resolution":{"observed_at":"2026-08-06T12:25:33.718077Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T12:25:33.667937Z","title":"Efficient probabilistic logic reasoning with graph neural networks","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.667937Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:965274cf7545f23b87ef3bf3583136372c4ff30008a54d5ddda55ed883fb717c","observation_id":"ec9bd2b4-d8c7-4df4-aacb-0c8f2893f5e0","resolution":{"observed_at":"2026-08-06T12:25:33.667937Z","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":"2026-08-06T12:25:33.700728Z","title":"Graph neural networks: A review of methods and applications","venue":null,"work_id":"6aaf2fc0-fc4c-4168-8c39-c22d0aa1c46b","year":2020},"citing_paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T12:25:33.670643Z"},"links":{"citing_paper":"/paper/2507.21873"},"observation_digest":"sha256:9916d80cd8f15e706e517fc2668ed90016819a829ac57359c6ba5b47e7b97e04","observation_id":"627daa82-1dd0-4028-ab85-cf91fecf21b0","resolution":{"observed_at":"2026-08-06T12:25:33.705485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.21873","last_updated":"2026-07-17T10:20:16Z","latest_version":2,"primary_category":"cs.AI","snapshot_observed_at":"2026-08-08T07:39:49.423299Z","submitted_at":"2025-07-29T14:43:25Z","title":"A Neuro-Symbolic Approach for Probabilistic Reasoning on Graph Data"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":38},"total_outbound_references":41},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2507.21873."}