{"as_of":"2026-08-08T12:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7fb49faa49ee92b5310b0dbf59200adb3876941f45a804233a62e07875e8cd01","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:24:52.391236Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.00224/citation-record","integrity":"/paper/2506.00224/integrity","json":"/paper/2506.00224/citation-record.json","paper":"/paper/2506.00224"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:55.271271Z","title":"Order,19(3):265–281,September2002","venue":null,"work_id":"f77e0ce3-7a0e-4b5e-9391-cd53a9827f9f","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:49.749317Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:7689b0524076c08160392b017666576535a787faf477761bb6cd6c376a663263","observation_id":"b3d63fba-9e4a-4ed2-a76f-ce7f30a55756","resolution":{"observed_at":"2026-08-07T12:24:55.361278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:55.042704Z","title":"Kleitman and Combinatorics: A Celebration,257(2):599–624,November2002","venue":null,"work_id":"7bab620c-3e3e-41ae-adb2-9623fb6d0f36","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:49.847801Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:012855b6ea21a7733b43118f0ea48ee6d3acdf251f0bbed15784f31d1d83a1eb","observation_id":"c7be0014-a720-4941-a4e3-86e658be891b","resolution":{"observed_at":"2026-08-07T12:24:55.175510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:54.758664Z","title":null,"venue":null,"work_id":"83e41c7e-edca-43e0-9ff9-fa0e490ec9b7","year":2024},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:49.991155Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:5cbad71279083f9226fcc664f0d398632e7afd24c5e8ae7da8c6f53926e410fb","observation_id":"2d2906fa-7240-49b2-8dc5-97d02d861e7b","resolution":{"observed_at":"2026-08-07T12:24:54.920441Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:54.563713Z","title":null,"venue":null,"work_id":"72fe81ca-daf5-4174-b925-b200808f647f","year":2025},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:50.110872Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:2d05587da468a8c6aaa677b91b024cdc1590a1f9d1146108b8ff425dc76a109e","observation_id":"5f5695c5-3c88-401b-9981-bd748865062e","resolution":{"observed_at":"2026-08-07T12:24:54.670078Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:54.311473Z","title":"DiscreteAppliedMathematics ,109(1):67– 94,April2001","venue":null,"work_id":"0a453b47-fdaa-4257-ab7d-e8a783c66318","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:50.203306Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:e3ae040418a33342ae6e5d7d1300f2a14683cddb45bd8014e862f33715f85532","observation_id":"3a97befb-62de-4ac1-a924-24fea515e9c2","resolution":{"observed_at":"2026-08-07T12:24:54.470665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:54.189680Z","title":"From summetria to symmetry: The making of a revolutionary scientiﬁc concept","venue":null,"work_id":"a2850bab-1cf5-48f2-88af-505c07404b5e","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:50.329868Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:0e2ba37a3e3f9626feac3fce984bbfc622291fd17e3a3950f525f77c63760961","observation_id":"04b606c3-2015-4c58-9777-10f7f0ab915e","resolution":{"observed_at":"2026-08-07T12:24:54.227079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:54.108429Z","title":"Symmetry in Solutions.Proceedings of the AAAI Conference on Artiﬁcial Intelligence,24(1):77–82,July2010","venue":null,"work_id":"44f8b8bb-1349-4a0d-ab35-362529739797","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:50.450767Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:4d73fa7f6fcef82ffdfff6307f1516770be88ebf197cd112898d37f46f5c7c12","observation_id":"7d9ea0d4-09e2-48a2-a27c-b88f83ef2b54","resolution":{"observed_at":"2026-08-07T12:24:54.162400Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.965136Z","title":"Journal of Combinatorics,8(3):391–422,June 2017","venue":null,"work_id":"aeeaf89d-1dd6-415f-a59d-766534435b4f","year":2017},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:50.581340Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:121576d1ebd4fc53fb43c39a2cbb7b398ad12b16e07bd324deea3d3ccc33074e","observation_id":"5929a42e-3236-4de3-8ac7-8671a73f0480","resolution":{"observed_at":"2026-08-07T12:24:54.017078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.900728Z","title":null,"venue":null,"work_id":"4b96c872-9975-4b37-8c8e-79045a3feacb","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:50.715982Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:1fcd548eda91ab2b6245e3d22224b5ebb9d692921edf99c8a8f8702ad4047c8b","observation_id":"da9f6af6-043d-4cba-9641-512d6057e09a","resolution":{"observed_at":"2026-08-07T12:24:53.916974Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.832787Z","title":"In Bernd Finkbeiner and Laura Kovács, editors,Tools and Algorithms for the Construction and Analysis of Systems,pages61–80,Cham,2024.SpringerNatureSwitzerland","venue":null,"work_id":"bd836a29-48e5-451f-87f9-c46b6563d2f0","year":2024},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:50.868564Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:efaeee1d72a75241c2afe53f2ea836f45f5f49d790757fd0b4984a8b4f80bcfc","observation_id":"4e213cf1-9fe1-4054-ad01-89878747b224","resolution":{"observed_at":"2026-08-07T12:24:53.860869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.755332Z","title":"AUTOMATED SYMMETRIC CONSTRUCTIONS IN DISCRETE GEOMETRY 15","venue":null,"work_id":"35b7ac47-81fb-4ae1-b723-06d9603f482b","year":1992},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.050935Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:636376353d8acbb5c832158fb3ff42292bdf786500b88ffd325638629c53b061","observation_id":"e4200c64-64c2-4791-9d39-e95cdffbc1e3","resolution":{"observed_at":"2026-08-07T12:24:53.788208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.670407Z","title":"Extremalproblemsincombinatorialgeometry .Lecturenotesseries.AarhusUniversitet, MatematiskInstitut,1979","venue":null,"work_id":"8e060420-453a-4c4b-aa41-5781d2e20da0","year":1979},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.187227Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:0a54e04e3b4055005878e346d67de78531d5c95fc23f939e10226dea59df420a","observation_id":"d32253bd-a84b-48ee-8b12-5bc3f35925dc","resolution":{"observed_at":"2026-08-07T12:24:53.710610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.561977Z","title":"Master’sthesis,CarnegieMellonUniversity,2025","venue":null,"work_id":"ceda726f-dc5e-4532-9dc8-a2d9ad09a6c0","year":2025},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.294940Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:7dc7eee70e01e2c52078814f1313bd2382dc6363f8c49303652a63d805aead45","observation_id":"09c60b5d-97fd-4cc0-bb55-85a047fdd696","resolution":{"observed_at":"2026-08-07T12:24:53.604608Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.495173Z","title":"Bulletin of the American Mathematical Society,37(4):437–458,2000","venue":null,"work_id":"444286ff-4fdf-4ffb-b465-6cf19f28bb5b","year":2000},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.423517Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:8e91ceca77ff5d1ba954a3e94161cb29c517c864d4c2e806c9319c58cd44bdb5","observation_id":"87a71217-6262-449e-9a2a-74cab14ad1bf","resolution":{"observed_at":"2026-08-07T12:24:53.525510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.434149Z","title":"SIGPLAN Not.,17(9):7–13,September1982","venue":null,"work_id":"3c344459-c65a-4a51-a2ae-a3886bb710a8","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.532695Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:920f89868c160473699483a6497641a7b28f03bdc4119538c58680f8c421654f","observation_id":"ee7fbc02-4268-4fc0-a78e-255275e87ee0","resolution":{"observed_at":"2026-08-07T12:24:53.455802Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.369819Z","title":"Discrete & Computational Geometry,30(3):415–435, September2003","venue":null,"work_id":"26fa28ae-f6f7-4005-80f1-37358d91f7b7","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.624564Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:d431530518f423af9b228dc82f5b8f15066913a6c4866a962dd22e9ec4e9bb55","observation_id":"18d3eaaa-8967-4ba2-89f0-8137b4615025","resolution":{"observed_at":"2026-08-07T12:24:53.405657Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.279978Z","title":"Gansner,editors, Graph Drawing,pages334–344,Berlin,Heidelberg,2010.Springer","venue":null,"work_id":"6c0cae8e-ffb3-433a-ab22-bd1ac72cf807","year":2010},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.713481Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:62c098daa8301e54d8b0af90d9b817b5dbbace3513a75c926122e225dcda15d9","observation_id":"d33934e7-122a-4197-8222-f1101af50252","resolution":{"observed_at":"2026-08-07T12:24:53.313588Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.214873Z","title":"Computational Geometry,91:101670,2020","venue":null,"work_id":"ea2f8c65-4fa3-4f89-bb3c-91cd0c6ad44f","year":2020},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.811762Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:6ba8d7a808728376380d584c931ce9dc47ae625dbaa049e13244f34fd87c190a","observation_id":"38344652-6bb0-49cb-8dc5-b2199d311653","resolution":{"observed_at":"2026-08-07T12:24:53.238635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.148901Z","title":"Computing in Geometry and Topology,2(1):2:1–2:13,March2023","venue":null,"work_id":"a80833ce-e248-4c81-a730-8f82808d464b","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.886790Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:eb78513af5b594f7fb07de88b0b97733dcadba6de95cd638b10f26beb9b7067f","observation_id":"426fe009-bf07-4a8d-b7b1-b3dc4439b962","resolution":{"observed_at":"2026-08-07T12:24:53.170432Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.087406Z","title":"Towards an optimal CNF encoding of boolean cardinality constraints","venue":null,"work_id":"b1e33fb7-442a-4827-8f73-a5a179320772","year":2005},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:51.962624Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:11a76c948ff00a859c4fbcf20139fc78010dade459100c28aabe26932991519d","observation_id":"afd0900a-2af1-4d10-9a01-aaa96c85ec7e","resolution":{"observed_at":"2026-08-07T12:24:53.106499Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:53.022820Z","title":null,"venue":null,"work_id":"dcb2da9b-d39c-4fbc-9303-1d61c1116030","year":2024},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:52.030697Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:29e755a5edf940999ed5c1a518366d97eb9b3add079cde01e42fc7e72384b927","observation_id":"47aae433-bf2f-4b5f-80ea-644fc422aa61","resolution":{"observed_at":"2026-08-07T12:24:53.041982Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:52.953152Z","title":null,"venue":null,"work_id":"d735fb95-a0b5-451a-96a6-b469befc1de6","year":2024},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:52.082993Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:5e93fc7cfa445671267628ba8fcbf5baa1de0bc05b0e4c4dc593da05a17802aa","observation_id":"2148305f-c85f-4a4e-b7eb-7aa90f0c0c01","resolution":{"observed_at":"2026-08-07T12:24:52.975753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:52.867567Z","title":"Computer solution to the 17-point Erdős-Szekeres problem.The ANZIAM Journal,48(2):151–164,2006","venue":null,"work_id":"ac38056e-991a-4df3-b281-3d2e18752444","year":2006},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:52.131132Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:3327afa1e6f8a1d561d0013ab3b41f0ee8f3719847581807a02f3e1005231929","observation_id":"94f6c16d-d8b1-4c24-8f6e-1f1b36d90588","resolution":{"observed_at":"2026-08-07T12:24:52.902788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:52.815830Z","title":"Handbook of Discrete and Computational Geometry.ChapmanandHall/CRC,NewYork,3edition,November2017","venue":null,"work_id":"08cfb190-addd-4b76-bb81-b4411a23c9e8","year":null},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:52.186937Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:282361034a762d2cbdd01488ab473b2736d1774f011c790ef35a4c7388e5ca04","observation_id":"43f29be5-0cc5-46e5-b88f-cfde9568dfbf","resolution":{"observed_at":"2026-08-07T12:24:52.833976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:52.732563Z","title":"Nature Methods,17:261–272,2020","venue":null,"work_id":"a66cab58-9984-4755-b89f-689b90369ecf","year":2020},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:52.236014Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:ff29a2fc4e1873c47e391524d9f225938d6caf3bb939b6110a61b946d8ba3c66","observation_id":"bba84980-4e80-49ca-8723-a203b9d5f5fb","resolution":{"observed_at":"2026-08-07T12:24:52.766572Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:52.637259Z","title":null,"venue":null,"work_id":"ab9af330-4571-4726-a51d-3f362da6fc4d","year":2010},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:52.290858Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:9ebe0d7cd6466324daa372cf91631bf9f3ba5761a53984660fd627d1f22a1784","observation_id":"ab9bb1c6-0c28-49d6-b063-4a61be1766ad","resolution":{"observed_at":"2026-08-07T12:24:52.679978Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:52.555692Z","title":"Symmetry.PrincetonScienceLibrary.PrincetonUniversityPress,Princeton,NJ,December 2016","venue":null,"work_id":"65aa6d6d-f1a4-4d28-8ae1-92e759053bee","year":2016},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:52.331103Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:9d07d12a72b9ce89c2fdfbdaad37b724ce386494c6c795f810eaf4cb575ccf9d","observation_id":"b9cf512d-5ffc-4e7c-b4d3-018a36618d65","resolution":{"observed_at":"2026-08-07T12:24:52.586926Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:24:52.489377Z","title":"php?title=Happy%20ending%20problem&oldid=1282669476,2025.[Online;accessed12-May-2025]","venue":null,"work_id":"2f22d65d-78d1-4124-95d5-4ef532cf604f","year":2025},"citing_paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T12:24:52.391236Z"},"links":{"citing_paper":"/paper/2506.00224"},"observation_digest":"sha256:c5c16495c46dc710bf0e8599d9bda9697785d1a2d38c7c3b37c321a854a695e2","observation_id":"9cdc8c34-5fdb-49e3-987c-65711334a409","resolution":{"observed_at":"2026-08-07T12:24:52.520761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.00224","last_updated":"2025-05-30T21:00:43Z","latest_version":1,"primary_category":"cs.DM","snapshot_observed_at":"2026-08-07T12:07:26.764074Z","submitted_at":"2025-05-30T21:00:43Z","title":"Automated Symmetric Constructions in Discrete Geometry"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":22},"total_outbound_references":28},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2506.00224."}