{"as_of":"2026-08-23T07:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:26bdcda7f6541471550d028636cfd7af23e5aec5f20cc1e0b5ce47969d4c01b8","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T14:52:50.520512Z","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":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2512.18953/citation-record","integrity":"/paper/2512.18953/integrity","json":"/paper/2512.18953/citation-record.json","paper":"/paper/2512.18953"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T14:52:48.356187Z","title":"A dataset-free approach for self-supervised learning of 3D re- flectional symmetries, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.356187Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:511090275273120f23c64ffa51cc36334bd8e096e7e324cf6fa96079275fc0db","observation_id":"edc201b4-f046-437b-85d4-63b307cf6cc0","resolution":{"observed_at":"2026-08-03T14:52:48.356187Z","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":"2026-08-03T14:52:48.407145Z","title":"Turner, Eric Nalisnick, and Jos´e Miguel Hern´andez-Lobato","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.407145Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:46ae5056dcf9454ebc4fcfd56b5fdcbe4d47751421cb20e1a34d7fd8f17dda17","observation_id":"edcb7297-982c-470a-b4ab-4302cb845b1e","resolution":{"observed_at":"2026-08-03T14:52:48.407145Z","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":"2026-08-03T14:52:48.447922Z","title":"Chang, Thomas Funkhouser, Leonidas Guibas, Pat Hanrahan, Qixing Huang, Zimo Li, Silvio Savarese, Mano- lis Savva, Shuran Song, Hao Su, Jianxiong Xiao, Li Yi, and Fisher Yu","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.447922Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:b66c04b83b14234b52259bf37044c8cfc504dc4b3910837908c55021ae161d0d","observation_id":"7455e3b2-1d32-42b4-b539-350ada69743b","resolution":{"observed_at":"2026-08-03T14:52:48.447922Z","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":"2026-08-03T14:52:48.493645Z","title":"Qi Charles, Hao Su, Mo Kaichun, and Leonidas J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.493645Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:c8743eba020ab39146b4e89ee09fb1b9eee9ffadb95f6c79fedd3f7cf86bb0b2","observation_id":"ccb6313a-17c4-4160-a671-0c82389cf086","resolution":{"observed_at":"2026-08-03T14:52:48.493645Z","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":"2026-08-03T14:52:48.623791Z","title":"AutoSweep: Recovering 3D Ed- itable Objects from a Single Photograph.IEEE Transactions on Visualization and Computer Graphics, 26(3):1466–1475,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.623791Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:05ef32a41ffe7b71efa514f7e5cff1512b3953fb0cc930571b193d6d69fb8ec2","observation_id":"686ee730-7f68-434c-949f-45912e9de7d9","resolution":{"observed_at":"2026-08-03T14:52:48.623791Z","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":"2026-08-03T14:52:48.671292Z","title":"Diop, Thierno Fall, Alioune Mbengue, and Mo- hamed Daoudi","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.671292Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:eca80e6494dd75c52f8239aaa69f2350bdaaee4d9d125b34e08672eec05b5289","observation_id":"cf9097b0-3f20-4bd2-be20-8bce3e01b359","resolution":{"observed_at":"2026-08-03T14:52:48.671292Z","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":"2026-08-03T14:52:48.715594Z","title":"A Point Set Generation Network for 3D Object Reconstruction from a Single Image","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.715594Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:63e107654d2a47105b33bb3a0791f47c131864ad8c93473ac05bbfc01e0c03fe","observation_id":"831e6c4a-14fd-49b7-9f8a-709438464a2e","resolution":{"observed_at":"2026-08-03T14:52:48.715594Z","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":"2026-08-03T14:52:48.755221Z","title":"GET3D: A Generative Model of High Quality 3D Textured Shapes Learned from Images, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.755221Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:5ffd424314da29c5bfe58f58793af9e2c036e29accedf82eb62da638ab468ffe","observation_id":"7ab20881-de1f-428a-9339-8c3bb2547ae3","resolution":{"observed_at":"2026-08-03T14:52:48.755221Z","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":"2026-08-03T14:52:48.792335Z","title":"Robust Symmetry Detection via Riemannian Langevin Dynamics","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.792335Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:3413eed4fd685ec7265d3ade9e23c6cdbe56ecc9820bade8da2a52afc3493f97","observation_id":"53a7e362-b299-4df3-a7a9-5420cf4229ef","resolution":{"observed_at":"2026-08-03T14:52:48.792335Z","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":"2026-08-03T14:52:48.834573Z","title":"A fast and efficient 3D reflection symmetry detector based on neural networks.Multimedia Tools and Applications, 78(24):35471–35492, 2019","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.834573Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:2296d7d36b30125ce188f7bb8b097a7ad060a2b352d55d6299aac6e991a90f92","observation_id":"c612e899-165d-44ba-a185-37cdece329c4","resolution":{"observed_at":"2026-08-03T14:52:48.834573Z","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":"2026-08-03T14:52:48.889812Z","title":"Andersson, Abhijith S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.889812Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:dd84630900ee68ada7ef79090f687be2b1b2ebe712fe9327f84b8c4d23c03e76","observation_id":"c76005c7-817e-4b2a-80c9-7629f1ed361a","resolution":{"observed_at":"2026-08-03T14:52:48.889812Z","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":"2026-08-03T14:52:48.914599Z","title":"SymmCD: Symmetry- Preserving Crystal Generation with Diffusion Models","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.914599Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:b9c92504bde8218bf79f17ed701c2b9fe72ec2d66d64ec04a14431ebf1c2ae3d","observation_id":"3f59bd45-9458-4d4d-ab50-36937e0c352f","resolution":{"observed_at":"2026-08-03T14:52:48.914599Z","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":"2026-08-03T14:52:48.975853Z","title":"Learning Part Generation and Assembly for Structure-Aware Shape Synthesis.Pro- ceedings of the AAAI Conference on Artificial Intelligence, 34(07):11362–11369, 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.975853Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:fe06a0468ce722e6936f79f568f4bac65b9871caa44c585913b412c2649e7563","observation_id":"1a173cc4-f5a0-4723-89f6-ab9f96bce805","resolution":{"observed_at":"2026-08-03T14:52:48.975853Z","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":"2026-08-03T14:52:48.998012Z","title":"An Adjustable Farthest Point Sampling Method for Approximately-sorted Point Cloud Data","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:48.998012Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:3ec72685d01422ca985d38a51f8284e0741ebc887cb770c279fef87cd3509edd","observation_id":"2502b5bc-72b2-4ce4-8110-267ef0360168","resolution":{"observed_at":"2026-08-03T14:52:48.998012Z","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":"2026-08-03T14:52:49.042214Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.042214Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:3bfaef927baf114ecc21b320421f927bf3206ec5ef0a7bdc835cf366c7086790","observation_id":"565ce1c0-6ebe-49d8-b37b-83a7ecc31f75","resolution":{"observed_at":"2026-08-03T14:52:49.042214Z","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":"2026-08-03T14:52:49.086358Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.086358Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:aaee5edb85a4f4e3aa01f10ed77829784d62e1e0426d99b3fd90063d6d3992de","observation_id":"e7983710-0187-4220-b841-94dfb6544dea","resolution":{"observed_at":"2026-08-03T14:52:49.086358Z","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":"2026-08-03T14:52:49.132204Z","title":"Point- V oxel CNN for Efficient 3D Deep Learning","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.132204Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:71d82b5c7cfb1e97298e5888674430e647b4a5a68da5171a012cbc5ce4c3eef1","observation_id":"720c9af8-ad0a-4891-88dc-6f3d43fa7770","resolution":{"observed_at":"2026-08-03T14:52:49.132204Z","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":"2026-08-03T14:52:49.175535Z","title":"Structure Preserving Diffusion Models, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.175535Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:f854e5af426d4d604432c5c798060e853b7674ae7d44489550c901e14e511a7c","observation_id":"5ad23cf0-ed86-420f-844b-0a7de39750e0","resolution":{"observed_at":"2026-08-03T14:52:49.175535Z","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":"2026-08-03T14:52:49.240546Z","title":"Diffusion Probabilistic Models for 3D Point Cloud Generation","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.240546Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:64f57c3e80854278621b4e78a0d9f80754f7e72fb1288ca4fba8e67ef478282e","observation_id":"974c7ccd-ffb4-4fec-8203-fa726222940e","resolution":{"observed_at":"2026-08-03T14:52:49.240546Z","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":"2026-08-03T14:52:49.315673Z","title":"SLIDE: Controllable Mesh Genera- tion Through Sparse Latent Point Diffusion Models","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.315673Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:0cefa55ded007ab09272bc02c27acc9cbaf68ca9366b56010de13cdba9a82961","observation_id":"a381132c-0f76-4278-83e1-68069b798fa7","resolution":{"observed_at":"2026-08-03T14:52:49.315673Z","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":"2026-08-03T14:52:49.342074Z","title":"Symmetry and Uncertainty-Aware Object SLAM for 6DoF Object Pose Estimation","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.342074Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:e416d3f0528c98f800afa31289274ab2cc1d8670f4c9ac678ff8e638a90b7d48","observation_id":"d58e9adc-d71b-4d7e-9408-8e320e7e8936","resolution":{"observed_at":"2026-08-03T14:52:49.342074Z","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":"2026-08-03T14:52:49.387340Z","title":"Mitra, Leonidas J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.387340Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:ccb5b5e0e2078dfc53e006b62baca46c3198bcd8bf5036b6fcf2f619c491e3d1","observation_id":"88c91bac-7d38-482c-a3fc-f56170ef1d13","resolution":{"observed_at":"2026-08-03T14:52:49.387340Z","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":"2026-08-03T14:52:49.441128Z","title":"Mitra, Mark Pauly, Michael Wand, and Duygu Cey- lan","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.441128Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:64dfe02c3f36ec01b51f3ca745fccfb8755852928be46563dc9e039e3599ce03","observation_id":"7b35985d-a0be-4583-8bc6-69dc2e4db921","resolution":{"observed_at":"2026-08-03T14:52:49.441128Z","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":"2026-08-03T14:52:49.461608Z","title":"A symmetry-aware alignment method for photogrammetric 3D models.ISPRS Journal of Photogrammetry and Remote Sensing, 204:184–208, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.461608Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:7c0f9763ad38fcc19de12af290dbd10e47f62ac3ae92178c30f5211edd9a4d48","observation_id":"4a896dc3-9eb5-4620-bbc1-55ac9770f880","resolution":{"observed_at":"2026-08-03T14:52:49.461608Z","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":"2026-08-03T14:52:49.504582Z","title":"XCube: Large-Scale 3D Generative Modeling using Sparse V oxel Hierarchies","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.504582Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:0312bf3000838376e3cb8d4ba05cab207e9d5220f74fcb897530b508a3b1e05a","observation_id":"e1f8d821-f3a9-4690-8646-a06591421a58","resolution":{"observed_at":"2026-08-03T14:52:49.504582Z","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":"2026-08-03T14:52:49.550503Z","title":"TIGER: Time-Varying Denoising Model for 3D Point Cloud Generation with Diffusion Process","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.550503Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:3c46e7253277d1fb1f13c6a098d20babaeff47c08f6d76592c7b3f4ce1a7914f","observation_id":"a8002793-320e-4be8-9081-85dea0e9d290","resolution":{"observed_at":"2026-08-03T14:52:49.550503Z","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":"2026-08-03T14:52:49.606399Z","title":"Completing 3D ob- ject shape from one depth image","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.606399Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:ef82f9ac92bc79e733f4f711f5c8a034244e518a8ae930617e8d56a4be02bbae","observation_id":"af923019-85c9-4e21-88f9-343b22251abf","resolution":{"observed_at":"2026-08-03T14:52:49.606399Z","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":"2026-08-03T14:52:49.658380Z","title":"tree- gan: 3d point cloud generative adversarial network based on tree structured graph convolutions","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.658380Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:5092708fd674057bdea7cb4e66a03f088a0240662a11f9e9974b4303105f3ca0","observation_id":"de2b580b-2585-4b57-9f41-eea3e8858d8c","resolution":{"observed_at":"2026-08-03T14:52:49.658380Z","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":"2026-08-03T14:52:49.716422Z","title":"Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds.Symmetry, 13(11):2011,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.716422Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:4e21a116bd312dd7fc6587d48bbb068f92ff83080406ae06e85648b69dee0452","observation_id":"e30b307c-558a-4c7b-bc7d-da90998692b4","resolution":{"observed_at":"2026-08-03T14:52:49.716422Z","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":"2026-08-03T14:52:49.843727Z","title":"Behind the Looking-Glass: A Review on Human Symmetry Perception.Symmetry, 2(3): 1510–1543, 2010","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.843727Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:69eb4fd98f23f67a7366ed9dba1f7521c082df1dd37c8ecc1d4c85661305cd71","observation_id":"199f1808-93eb-406e-b478-68683397f613","resolution":{"observed_at":"2026-08-03T14:52:49.843727Z","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":"2026-08-03T14:52:49.963160Z","title":"Qi, He Wang, and Leonidas J","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:49.963160Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:0eaceb8a21e928424424a332b1adcff7c8e57bc7fa7e4478da119f6d2d9b01b3","observation_id":"df8ad3f7-eae1-4eaa-a641-df4efb9b7752","resolution":{"observed_at":"2026-08-03T14:52:49.963160Z","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":"2026-08-03T14:52:50.044551Z","title":"Unsupervised Learning of Probably Symmetric Deformable 3D Objects From Images in the Wild","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.044551Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:c93133fc6d9ef2e18aad0a30c15fbabeb35753a16684252cace4dfc64aa48b6f","observation_id":"db4c404f-6bcc-454e-adba-26c799fcf646","resolution":{"observed_at":"2026-08-03T14:52:50.044551Z","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":"2026-08-03T14:52:50.091676Z","title":"Partial intrinsic reflec- tional symmetry of 3D shapes","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.091676Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:748f0f5a780ac491bf045dfe3c9aac8c0f2c2a347490b89eee2ce37e74c87bd1","observation_id":"c33ca044-3eb8-48b3-9541-3589977cbf85","resolution":{"observed_at":"2026-08-03T14:52:50.091676Z","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":"2026-08-03T14:52:50.143816Z","title":"A survey of deep learning-based 3D shape generation.Computational Visual Media, 9(3):407–442, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.143816Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:6e808d479b65324bcc480a5123329d778f1b7a3063abc863c757722821681207","observation_id":"f54e19bd-d0b6-4780-abbc-89a3faa6500d","resolution":{"observed_at":"2026-08-03T14:52:50.143816Z","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":"2026-08-03T14:52:50.181072Z","title":"Lady- bird: Quasi-Monte Carlo Sampling for Deep Implicit Field Based 3D Reconstruction with Symmetry","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.181072Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:0c574355a4fe56174a76275e4d12e137b2015f88c0f8f5b82d38770a08a0e8d8","observation_id":"b138fb64-ca0d-4d76-8545-90ebf74785ac","resolution":{"observed_at":"2026-08-03T14:52:50.181072Z","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":"2026-08-03T14:52:50.218568Z","title":"PointFlow: 3D Point Cloud Generation With Continuous Normalizing Flows","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.218568Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:32458376fee4eb59bc897f80cdb329b4c312a8989cd205d9b5cdd11cfa3cc8ea","observation_id":"ac0a76c9-79e3-44ca-9fef-d6b916bd93f5","resolution":{"observed_at":"2026-08-03T14:52:50.218568Z","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":"2026-08-03T14:52:50.271611Z","title":"SYM3D: Learning Symmetric Triplanes for Better 3D-Awareness of GANs, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.271611Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:4adf68a81c116f9170003dfce5efa9636d92ac86c682865b7a252d1ec08847be","observation_id":"fc897b3d-6808-4155-b094-40d66be5ae75","resolution":{"observed_at":"2026-08-03T14:52:50.271611Z","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":"2026-08-03T14:52:50.314385Z","title":"LION: Latent Point Diffusion Models for 3D Shape Generation.Advances in Neural Information Processing Systems, 35:10021–10039,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.314385Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:b32ed9915a3a0a6036dcaa48229db4b300f07a3295fde8780c7d5c2621a14008","observation_id":"24f80a7c-f3e4-4060-887d-8612bb9e29fe","resolution":{"observed_at":"2026-08-03T14:52:50.314385Z","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":"2026-08-03T14:52:50.371615Z","title":"Barron, Yun-Ta Tsai, Rohit Pandey, Xiuming Zhang, Ren Ng, and David E","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.371615Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:3c0ec0e1cdea7e517f8468acebe73bbbaa00909deb87a0703c1693d88f9f1f5c","observation_id":"ebc4f06c-6192-4053-a880-c2814eefedff","resolution":{"observed_at":"2026-08-03T14:52:50.371615Z","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":"2026-08-03T14:52:50.397711Z","title":"Learning Symmetry-Aware Geometry Correspondences for 6D Object Pose Estimation","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.397711Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:ee4d904026f11b2f734b511a0b464cafae52c15c99fbc6223be10f2420ac7f3b","observation_id":"212ede3d-81e9-46e4-a700-ead7a9481cbe","resolution":{"observed_at":"2026-08-03T14:52:50.397711Z","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":"2026-08-03T14:52:50.468660Z","title":"3D Shape Gener- ation and Completion through Point-V oxel Diffusion","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.468660Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:dedf26175eaef156f2afcce26411542057c01488b5d5ea710f71da3311ba7e1c","observation_id":"94294bef-ce64-40b3-a0e3-06ec4009af48","resolution":{"observed_at":"2026-08-03T14:52:50.468660Z","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":"2026-08-03T14:52:50.520512Z","title":"NeRD: Neural 3D Reflection Symmetry Detector","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T14:52:50.520512Z"},"links":{"citing_paper":"/paper/2512.18953"},"observation_digest":"sha256:5f9b04a97fdaa1a5eb16dd4858b7eeb915f3810957ee14fb15f474ae74d5fcb7","observation_id":"bd36465e-8421-4093-93d2-d92729051350","resolution":{"observed_at":"2026-08-03T14:52:50.520512Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2512.18953","last_updated":"2026-07-18T02:55:42Z","latest_version":3,"primary_category":"cs.CV","snapshot_observed_at":"2026-08-17T21:53:46.399586Z","submitted_at":"2025-12-22T02:05:02Z","title":"Symmetry Matters: Auditing and Symmetrizing 3D Generative Models"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":42,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":42},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2512.18953."}