{"as_of":"2026-08-15T13:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2703c439150d4ffaf2f12ef149e49d9d743f585f04d4075a512c10242bee10b6","coverage":[{"denominator":43,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":43,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T18:39:15.758135Z","state":"measured"},{"denominator":44,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":44,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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":"2026-08-07T11:44:13.926762Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T11:44:14.474268Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"cited_work":{"arxiv_id":"2412.07883","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.07883","snapshot_observed_at":"2026-08-07T11:44:14.474268Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","venue":"cs.LG","work_id":"e46a7807-84a0-4d29-859d-cd37bc2e7f80","year":2024},"citing_paper":{"arxiv_id":"2506.01824","last_updated":"2025-07-05T13:10:19Z","snapshot_observed_at":"2026-08-13T22:26:25.657514Z","submitted_at":"2025-06-02T16:07:08Z","title":"A Quantum Information Theoretic Approach to Tractable Probabilistic Models","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T11:44:13.926762Z"},"links":{"cited_paper":"/paper/2412.07883","citing_paper":"/paper/2506.01824"},"observation_digest":"sha256:1c4e9fda5e5bdac66b2ca2dfa9059684366c76710c2783ed5ff8ba1941f24b92","observation_id":"3a2cd112-785c-436c-b301-691053ba71fe","resolution":{"observed_at":"2026-08-07T11:44:14.489737Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.07883/citation-record","integrity":"/paper/2412.07883/integrity","json":"/paper/2412.07883/citation-record.json","paper":"/paper/2412.07883"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:39:15.601950Z","title":", \" * write output.state after.block = add.period write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.601950Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:897af598e99a69f8d6c04d00cc03a5e807340cf7f774af273e7b292d61e4abc9","observation_id":"667b4810-cf2e-4e89-b328-f52116048567","resolution":{"observed_at":"2026-08-11T18:39:15.601950Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:39:15.606352Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.606352Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:4289619cbeab7c6585970c27e21712a7f7e4a8cdf77d22b7651b4cb644d18cc3","observation_id":"5c46ca95-a428-46f7-9a67-169bb3cb04d7","resolution":{"observed_at":"2026-08-11T18:39:15.606352Z","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":"2026-08-11T18:39:16.202596Z","title":"A.; and Miller, D","venue":null,"work_id":"37f85697-9cac-4a95-8b0e-b685c25c1ddd","year":1965},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.610371Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:941958c7828f3d88963ef1815e0643967acb9eed7b663c4f0a93939a88d03ec2","observation_id":"13fc23df-68a2-4e51-a302-7ed1022e5ce3","resolution":{"observed_at":"2026-08-11T18:39:16.205841Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.193265Z","title":"E.; and Sepulchre, R","venue":null,"work_id":"36124c15-ebe6-453f-a4bb-c4f2234e8d30","year":2007},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.614066Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:f550fe91b89de5cad99bcb46c62aa90381775cc2c29e3640ad860e3c26525ec7","observation_id":"77211f61-b307-4373-a5a1-f0f2f6ac9246","resolution":{"observed_at":"2026-08-11T18:39:16.196490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.183729Z","title":null,"venue":null,"work_id":"cf3eef7b-75be-4fb9-9d25-1dd42bbce4c7","year":2022},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.617624Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:cf4b9cf87ff29d039d025d7b492b2bcc35daecfb3736285d5b21aa5bfa5c0c89","observation_id":"9d79a1e4-d2ac-4867-8528-a8a382014973","resolution":{"observed_at":"2026-08-11T18:39:16.187027Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.173881Z","title":null,"venue":null,"work_id":"f219d7fa-efe0-4ccb-baed-18bc48d83bb6","year":2015},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.621251Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:f09305e62dd4e6e65b2743570c7d0b2623d2d66e64d2c274fd2dd1de088427a0","observation_id":"b05a79b4-a96d-4530-9f3a-b6031815861c","resolution":{"observed_at":"2026-08-11T18:39:16.177311Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.163833Z","title":null,"venue":null,"work_id":"fdc07209-a802-479f-9098-6600ff300929","year":2018},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.624881Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:34d0974ce5c1b6acc514cde7a2c66ee5cc6330836aa7f33df6c0c588b44c914d","observation_id":"166550e5-7a2f-4798-9a5c-2700df015a5c","resolution":{"observed_at":"2026-08-11T18:39:16.167361Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.153615Z","title":"D.; and Bergholm, V","venue":null,"work_id":"334c90d1-4454-498d-90c3-6449c185a7ef","year":2017},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.628577Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:a23d8cbf612a28b36392489ebe1bac16065fe37196d0739011a5a1113fc50c58","observation_id":"b80e1105-67c5-4048-83da-50c87e38265c","resolution":{"observed_at":"2026-08-11T18:39:16.157337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.143504Z","title":"M.; Blei, D.; and Saul, L","venue":null,"work_id":"100bf378-0fcb-4947-899f-ab82f0b69fee","year":2024},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.632726Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:05a0ee59daf93ec1c0329a5953a8fed6122098f1cb13a7b27cbc3b3c0aec47d7","observation_id":"4391714e-f658-425c-b8d0-2063af05a0ed","resolution":{"observed_at":"2026-08-11T18:39:16.147084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.08428","last_updated":"2019-05-30T16:01:01Z","snapshot_observed_at":"2026-08-14T17:26:27.363692Z","submitted_at":"2019-01-24T14:31:48Z","title":"Cheap Orthogonal Constraints in Neural Networks: A Simple Parametrization of the Orthogonal and Unitary Group","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.08428","snapshot_observed_at":"2026-08-11T18:39:15.636188Z","title":"L.; and Mart \\'i nez-Rubio, D","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.636188Z"},"links":{"cited_paper":"/paper/1901.08428","citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:c9cbea15d30e1e4f7ef88b4afa15facdb4ec029c83b372dc3ae63329a3e7b523","observation_id":"2d4896b5-b9da-49a4-86a3-33fa59b20e92","resolution":{"observed_at":"2026-08-11T18:39:15.636188Z","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":"2026-08-11T18:39:16.133572Z","title":null,"venue":null,"work_id":"438daa03-f9d5-43dd-91e9-86cadf37f04d","year":2019},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.641381Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:b65e1429f4cc02c64aea30574476c8ad9bff4e0a7e4b5d6af9c1e3c516758935","observation_id":"bf1c4521-7c92-4fa0-8b79-a3d459093f2b","resolution":{"observed_at":"2026-08-11T18:39:16.136984Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.123430Z","title":null,"venue":null,"work_id":"5ec41540-e563-41f0-bc79-c69ea7df39ab","year":2020},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.645261Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:ffff245d0e53ea6dda8c6183a794c1c7176c67ae99006409aa3e9f99ed99600b","observation_id":"ee5ddb12-73a7-489f-b76f-3d2799f7168a","resolution":{"observed_at":"2026-08-11T18:39:16.126817Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.113639Z","title":null,"venue":null,"work_id":"d9f8edb3-b0b2-43e9-8737-db0a165021a7","year":2002},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.648530Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:5f3b1e78613e1417ee82985a8afad89a65074cc1116e38bcf300978a3d62293c","observation_id":"e54cb5e3-7dee-4e66-8ecb-5d40f6c7359d","resolution":{"observed_at":"2026-08-11T18:39:16.117125Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.103656Z","title":null,"venue":null,"work_id":"b926a8e0-ae74-4512-9e90-26490b1f3cd1","year":2024},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.652798Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:ea7e6dc748bfe8f3800188041f4d135ed4db1253a89f5b175126e6042f4b8fa1","observation_id":"d69e891b-6a29-4b0a-8e93-3761a7d2d07e","resolution":{"observed_at":"2026-08-11T18:39:16.107129Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.06494","last_updated":"2025-02-05T13:13:26Z","snapshot_observed_at":"2026-08-12T23:46:14.457098Z","submitted_at":"2024-06-10T17:30:17Z","title":"Scaling Continuous Latent Variable Models as Probabilistic Integral Circuits","version":2},"cited_work":{"arxiv_id":"2406.06494","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.06494","snapshot_observed_at":"2026-08-11T18:39:15.809002Z","title":"Scaling Continuous Latent Variable Models as Probabilistic Integral Circuits","venue":"cs.LG","work_id":"d8125391-8917-438b-adc2-05a5571474bd","year":2024},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.656222Z"},"links":{"cited_paper":"/paper/2406.06494","citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:36c103c050a1ac9fb88f45fab7456dffb40278ad133cc14e6ca1bfb140b3664f","observation_id":"123caabd-e635-48d3-8632-63019a9a43ef","resolution":{"observed_at":"2026-08-11T18:39:15.815315Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.094399Z","title":null,"venue":null,"work_id":"3bd9adf5-7aa2-4ca6-86b4-72d6609970ce","year":2018},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.659932Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:33e66a2d93491ffb3c65686a98bcd2f8b179d98ba803c25c63e18accca4c1e7f","observation_id":"4265a624-7ced-425c-8b42-a08387e6d629","resolution":{"observed_at":"2026-08-11T18:39:16.097904Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.084737Z","title":null,"venue":null,"work_id":"7c8e44c9-2d1d-42d4-b326-7ace41bf8bc0","year":2019},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.664176Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:518565c6a7970599e69fe281d53cb1999096a30eaac8b173520b63773fe70c46","observation_id":"8d578abe-d112-467a-a8fb-921337df0309","resolution":{"observed_at":"2026-08-11T18:39:16.088256Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.074958Z","title":"V.; and Haegeman, J","venue":null,"work_id":"f7e2a6f3-9332-4828-b439-a0299c9dfc9f","year":2020},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.667751Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:beee108b24c332247db021b3d29f23126d8893838ca2ee897c95cc8332ddd360","observation_id":"8ba8b0ec-6289-413d-b932-b476c0211480","resolution":{"observed_at":"2026-08-11T18:39:16.078246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.065603Z","title":"W.; and Li, B","venue":null,"work_id":"bd4978d3-fe2a-4e21-b50d-6fb29bbad693","year":2017},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.671076Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:99fd847e0ec2cf966e89287f7ba45220e9aa961654279490cf0eaa606065ecaa","observation_id":"ad052b46-f375-4130-b99e-493458a9c39a","resolution":{"observed_at":"2026-08-11T18:39:16.069018Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.056139Z","title":null,"venue":null,"work_id":"19f8ccb9-bcc9-4c3a-adb0-14789696ddd9","year":1941},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.675126Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:c5e0392f51f84efa679ee1a443f8c26dba58b065c4e4a919988fb77f4cb7d054","observation_id":"a0e71292-4625-4cb2-b081-8c8242cdbede","resolution":{"observed_at":"2026-08-11T18:39:16.059341Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.046688Z","title":null,"venue":null,"work_id":"6493e6e0-eae1-4450-a332-903eca767fee","year":1982},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.678955Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:8e435295be666d649bf349f3347c1b64b058871995581090a24f49e45472d78c","observation_id":"694598cb-95a3-4665-be34-2ff5d7da134c","resolution":{"observed_at":"2026-08-11T18:39:16.050052Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.037642Z","title":null,"venue":null,"work_id":"358ea1b0-c7ad-49ee-9e3a-de65d6454c60","year":2022},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.682462Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:c3786755478fa6df6307baeb13793cd50cce82e6fc8fdb4cf68f06f72a856ac2","observation_id":"c12169b3-d668-454f-9db3-b89f2181719a","resolution":{"observed_at":"2026-08-11T18:39:16.040868Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.026014Z","title":"S.; Mengel, S.; Trapp, M.; Solin, A.; Gillis, N.; and Vergari, A","venue":null,"work_id":"f1a665fd-7172-4e73-9f15-0a148440d8aa","year":2024},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.685839Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:9c369230b5a211c42f3ce362c8c72acf802389ab477de6f3455ce652bf58f1ff","observation_id":"bc676199-d8fc-46aa-869d-20a63b54f67d","resolution":{"observed_at":"2026-08-11T18:39:16.030376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:16.016179Z","title":null,"venue":null,"work_id":"27a0a0b6-5b3c-488a-967c-255d63825ee6","year":2023},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.689355Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:b6d47625d272b648d5bc3b834bd70ba0e45d30c7308be394272b8ac59a097f39","observation_id":"3bbb9474-787c-4f42-bbda-0021bd199950","resolution":{"observed_at":"2026-08-11T18:39:16.019636Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.07953","last_updated":"2025-02-03T17:00:48Z","snapshot_observed_at":"2026-08-14T22:55:36.721605Z","submitted_at":"2024-09-12T11:32:01Z","title":"What is the Relationship between Tensor Factorizations and Circuits (and How Can We Exploit it)?","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.07953","snapshot_observed_at":"2026-08-11T18:39:15.692811Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.692811Z"},"links":{"cited_paper":"/paper/2409.07953","citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:ce62bb93a6dbeabee4655f201c0a62d1952c40c61f1d81a66c0d2e34c9aa23b7","observation_id":"5e849e70-2568-4c35-988b-ca0e884d7610","resolution":{"observed_at":"2026-08-11T18:39:15.692811Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.11778","last_updated":"2025-05-24T08:47:07Z","snapshot_observed_at":"2026-08-15T04:01:51.608544Z","submitted_at":"2024-08-21T17:08:05Z","title":"Sum of Squares Circuits","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.11778","snapshot_observed_at":"2026-08-11T18:39:15.696768Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.696768Z"},"links":{"cited_paper":"/paper/2408.11778","citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:c17b82e275de7b85973e44651433cb195671baa3935448d00cc7da52e9edc738","observation_id":"263c4b29-172a-46ef-bc82-4dca535a6bd3","resolution":{"observed_at":"2026-08-11T18:39:15.696768Z","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":"2026-08-11T18:39:16.006126Z","title":"A.; Ryzhov, A.; Filippov, S","venue":null,"work_id":"89c02905-8a54-47b9-847e-383d67acee27","year":2021},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.700470Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:17fdc50963719e5e4444142db936f34877cd428617309e12f428575eb8efba44","observation_id":"93924779-0efd-4175-ab7d-88fe15012749","resolution":{"observed_at":"2026-08-11T18:39:16.009907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.995445Z","title":"S.; Panov, M","venue":null,"work_id":"0b38a996-9567-4f89-a31d-0382679b87e4","year":2021},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.704197Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:b6e351de4f27175278af957c27ccee3e72041e7e52c54725240fac37f3136a87","observation_id":"22691c29-d0b8-43e0-8f84-e6e8038f0248","resolution":{"observed_at":"2026-08-11T18:39:15.999359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.985151Z","title":null,"venue":null,"work_id":"dd895e18-75fb-4ad2-8450-85ca4b2edebf","year":2013},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.707811Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:8cae43a103fd531215204f4ad68b91e06b975aea9cc4c05f938ee1dd71fe9447","observation_id":"07b1ebc1-59e4-4413-8522-aed7a6ed7517","resolution":{"observed_at":"2026-08-11T18:39:15.988822Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.974106Z","title":null,"venue":null,"work_id":"3fc337bd-5a16-4f39-9fd6-f623023fcf79","year":2015},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.711391Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:77e3e41d415f67b0e69ca64dbcfaa4e80c10f6cb3efac18f6fccb7de529ab96c","observation_id":"6021ac40-1bf8-49eb-9584-243dd2129a03","resolution":{"observed_at":"2026-08-11T18:39:15.977704Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.963694Z","title":"M.; and Cirac, J","venue":null,"work_id":"d55b5581-fea1-46c7-9f15-d89546a5e589","year":2007},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.714845Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:363ef6a486da83e4b76d41e96789ccd6566f83fb2305ad96cac5bbba3b0b3315","observation_id":"45c60358-1aca-4418-a7c1-b29183c99ba1","resolution":{"observed_at":"2026-08-11T18:39:15.967477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.953413Z","title":null,"venue":null,"work_id":"039c712e-f2a6-4abc-a05e-71e17680a1b7","year":1997},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.718329Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:6c80b0b059a4970490870402c01197fcee47671cb88a09145997c7333f731972","observation_id":"b1906ebd-3884-4d69-a9c5-dfa205ce0ef5","resolution":{"observed_at":"2026-08-11T18:39:15.956931Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.942454Z","title":null,"venue":null,"work_id":"5639e606-33d9-4d7e-93b2-9d6d6a7bff9e","year":2008},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.722380Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:02cbf86215614f82bad7055bc7b2ada0d3164ef86d45afeeaa8d6b26323c61b3","observation_id":"e3497e04-aa38-45f4-86e5-5e35ffa11bdc","resolution":{"observed_at":"2026-08-11T18:39:15.946397Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.931191Z","title":null,"venue":null,"work_id":"4f8987cb-4375-458b-896f-e279da946711","year":1984},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.725938Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:ef29d766becfaf6109d21529c7929db3d4b85f646ecb940553271eff50dd3581","observation_id":"b22f03f7-6275-4c4d-abb7-dc7228f73625","resolution":{"observed_at":"2026-08-11T18:39:15.935021Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.920576Z","title":null,"venue":null,"work_id":"54eb75e4-bb7d-40af-8f51-7d1d281f3085","year":2010},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.730408Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:c034566369614a7194e7047777092e86e77b44d80a064abbf003e45eaabd1957","observation_id":"887e5fb4-af0e-4e6b-b5f5-d2c6600e7a1a","resolution":{"observed_at":"2026-08-11T18:39:15.924310Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.909575Z","title":null,"venue":null,"work_id":"a2744733-1ee7-4834-b276-4eea0470c82b","year":2022},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.734068Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:c3bcfae0654167d613979ae1116cfb39d758c7bd7ef4e0aaa87aa30fff924a08","observation_id":"6346e0df-52d0-4124-b366-9752da86799e","resolution":{"observed_at":"2026-08-11T18:39:15.913281Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.899271Z","title":null,"venue":null,"work_id":"b949c15a-554d-4766-8f5e-f4c8e8120cd1","year":2006},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.737618Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:e0ec23b6498533623ae11878f38ca01ef7f217c3dad426423d40656ccb37457b","observation_id":"f81a993c-2c41-4d86-9a09-1f0593da297b","resolution":{"observed_at":"2026-08-11T18:39:15.902679Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.887813Z","title":null,"venue":null,"work_id":"a8134cbf-7c83-4f37-9355-687c09e0124d","year":2010},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.741212Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:9dfb7f11574c20c67308be4be48015ecffeae444416273ffaadc6b6ae6daf3f9","observation_id":"fa5ebecd-15e8-4282-ba12-8884188532d3","resolution":{"observed_at":"2026-08-11T18:39:15.891690Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.876428Z","title":null,"venue":null,"work_id":"907287cd-ba74-48f8-89c5-8ac022f0e327","year":2016},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.744668Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:84ab50a92cf6799110473fe8ed548719db596ffc8ff712f3a0b523f44d3382ff","observation_id":"8bb42244-ab7d-45f6-8ce4-5309c655af52","resolution":{"observed_at":"2026-08-11T18:39:15.880203Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.865803Z","title":null,"venue":null,"work_id":"fd292e96-c2bc-41c5-a9b9-6095bb04e36d","year":2021},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.747920Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:f53d2bb49c1f0231b41984662f008139b115fb6d8fade71dbd762a1621e4efa3","observation_id":"fca216f5-ff44-4a1c-bb63-a16c08ab3f98","resolution":{"observed_at":"2026-08-11T18:39:15.869459Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.855264Z","title":null,"venue":null,"work_id":"9f817cdb-5971-44fd-95f3-72112b0af0d2","year":2019},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.751482Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:37567fbd9ffb375e4fdb8593a62424903f795d8c79f2c307b4917bbd0ca2e778","observation_id":"fbd64cb7-3c75-4027-ad44-f56e1607ba3b","resolution":{"observed_at":"2026-08-11T18:39:15.858694Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.844492Z","title":null,"venue":null,"work_id":"e8c55387-5227-4e92-8e2d-aff3b7af04c1","year":2022},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.754853Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:44f9ec31e9f1ab3cd472d6c2e8fc9fce6c98b0f2da9209bbebad5e491217a508","observation_id":"b4325e88-05e7-4749-9b98-bda573185940","resolution":{"observed_at":"2026-08-11T18:39:15.848218Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T18:39:15.833100Z","title":null,"venue":null,"work_id":"7a7c46e3-62a2-4422-a93e-a096acb4d850","year":2023},"citing_paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-11T18:39:15.758135Z"},"links":{"citing_paper":"/paper/2412.07883"},"observation_digest":"sha256:6c04f6da88741e5133a5caa46d7d476d8772eff4978461e6ab5e7afbd40f2d6d","observation_id":"47841db0-0ed4-4987-a55f-a0457cbebaa1","resolution":{"observed_at":"2026-08-11T18:39:15.837232Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.07883","last_updated":"2025-01-19T10:48:35Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-12T14:04:51.624224Z","submitted_at":"2024-12-10T19:37:03Z","title":"On Faster Marginalization with Squared Circuits via Orthonormalization"},"reference_resolution":{"displayed":43,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":32,"verified_exact":1,"verified_fuzzy":10},"total_outbound_references":43},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2412.07883."}