{"as_of":"2026-08-08T02:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:90f08b4ab9950fd4b54ed993ecccd1229839933c38cbafcbf5a76f2876575abe","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:43:06.187258Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.07567/citation-record","integrity":"/paper/2506.07567/integrity","json":"/paper/2506.07567/citation-record.json","paper":"/paper/2506.07567"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:43:06.856219Z","title":"Alsina, E","venue":null,"work_id":"ced347a5-57f8-4854-863a-b4dc87aca4d3","year":1983},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:04.662386Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:df4e2fd78bf56947e4df5a54bd2cbc4d9fa95b7267614fa1bb47e5a3caed7f5d","observation_id":"a295b2c8-3fb8-480e-88e6-21bda2abd65c","resolution":{"observed_at":"2026-08-07T05:43:06.858993Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.847413Z","title":"Bellman, M","venue":null,"work_id":"282c04a2-e515-4dc2-8515-076c5cef5d23","year":1973},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:04.755191Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:5a9ac5ec91f721206e04ffe8f21e96d69d7e37f2dc17735fe59b36626889dc3d","observation_id":"2a7bfa59-1dae-4b7b-bffb-8f1b51531bda","resolution":{"observed_at":"2026-08-07T05:43:06.850406Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.838628Z","title":"Birkhoff, Lattice Theory, vol.XXV, 3rd ed., American Mathematical Society Col- loquium Publications, Providence, RI, 1973","venue":null,"work_id":"15cbf14d-970a-4863-85e8-093ddc387be7","year":1973},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:04.823753Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:9252e2092f50a08f4e505835205ee048fb6de6fe1a6d4272f2fb2542ed4b4339","observation_id":"54c8546e-f62c-4b43-b31f-0885313acc91","resolution":{"observed_at":"2026-08-07T05:43:06.841627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.829793Z","title":"Crawley, R","venue":null,"work_id":"a634c9f9-9ccc-4007-8092-d86028b8cdac","year":1973},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:04.950256Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:bf6c2f36e4d4393a7929756db5d82a62ad7e8d9b7f0a7941a93b9062f4f32f78","observation_id":"fa6d2e01-7166-4e2f-8091-ef7f91941304","resolution":{"observed_at":"2026-08-07T05:43:06.832918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.820493Z","title":"De Baets, R","venue":null,"work_id":"d6014367-35ff-4225-baa2-8f432b4ed5fc","year":1999},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.042704Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:ff63a08550dde601451fd4ac9dbff982517d3a0ab5372e092fd09e4397bdb343","observation_id":"51f5b778-e775-4491-a79e-377596108072","resolution":{"observed_at":"2026-08-07T05:43:06.823770Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.700383Z","title":"De Coomann, E.E","venue":null,"work_id":"0ccd9ead-c1fe-4cfb-8471-6b41d0ff1003","year":1994},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.159660Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:19c7997ee26f88825c2418e55b1a5084741f78ed10a350f1f79f4fcb1249f1eb","observation_id":"fedeedc0-febd-4852-b384-458004693be7","resolution":{"observed_at":"2026-08-07T05:43:06.781173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.542938Z","title":"Dubois, H","venue":null,"work_id":"950978bc-d080-4334-ac2b-19b7de6bf542","year":1991},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.290442Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:946209128a1bd6f3343050bb2f97d0793473097b18925573d3eef82d6fa0cbc6","observation_id":"b4741b17-a20a-4b2a-838d-25b351cc431d","resolution":{"observed_at":"2026-08-07T05:43:06.619961Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.441541Z","title":null,"venue":null,"work_id":"41dd3ad4-c7d4-4e61-a4a5-eb49cdd1b2ba","year":1991},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.365169Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:329f4a3d57e9610b2dd9e6aef8614301eaef4ebcd4db412ca629cdff22f73c4d","observation_id":"a643e904-a483-46c3-ac40-2ac533e5f24c","resolution":{"observed_at":"2026-08-07T05:43:06.482407Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.427952Z","title":"Gr¨ atzer and E","venue":null,"work_id":"ef8eabce-6c40-4bcc-98fe-cfe985a43658","year":2007},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.440802Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:4c8693a880bb99926e12dc724e645b48de72d425cc42f01039f22dbbd0021f20","observation_id":"e51939d2-f044-4505-9a3e-e1a93d830436","resolution":{"observed_at":"2026-08-07T05:43:06.433535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.414350Z","title":"Gr¨ atzer and E","venue":null,"work_id":"f409d4fc-195b-4b63-accd-103920bf06ea","year":2010},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.519999Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:a7f2c320baf42de733cbc8e2c57a86c1a14f170691a1e9c9c55c7ea2da913d20","observation_id":"831380f9-24d7-45da-96f8-a8229ea29de8","resolution":{"observed_at":"2026-08-07T05:43:06.418735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.401843Z","title":"Gr¨ atzer and F","venue":null,"work_id":"0eb46167-1f45-4676-ac24-f4ef136808bd","year":2014},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.603599Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:5ddab7fb24c957eb7d8dd2cf4010ac4e1df2446f8f1aa9cb9fb6a45e049f7f56","observation_id":"5be2a9cb-16dd-4245-ba33-e1904a1123cc","resolution":{"observed_at":"2026-08-07T05:43:06.405761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.391901Z","title":"Kelly and I","venue":null,"work_id":"93c7f6bb-09f2-4f69-a2a8-adf9e328f586","year":1975},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.646600Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:9d05258548032f9b421cca6148d1cb902dd16a9f8f073ea9ede25cc550416919","observation_id":"1f0661e2-fadf-44ed-87a0-027f593d9c50","resolution":{"observed_at":"2026-08-07T05:43:06.394957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.382602Z","title":null,"venue":null,"work_id":"9098e909-cb74-4c4b-b19e-00a5845dec84","year":1991},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.732706Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:caa820bbbe160333728d22fab001506a3d5c033f164cab4c502975d07f5dd6d1","observation_id":"74287fdf-df48-4910-8381-35a84e5f172c","resolution":{"observed_at":"2026-08-07T05:43:06.385526Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.372349Z","title":"Saminger, On ordinal sums of triangular norms on bounded lattices, Fuzzy Sets Syst","venue":null,"work_id":"ed16b7a0-6c29-4407-8913-58e79746541b","year":2006},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.794283Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:5aa145ea88c6a09479e2c2572519ed02810f32582591e2ac71d2e721a8130dba","observation_id":"cd359ffb-2910-4aad-b655-77afc2d7e895","resolution":{"observed_at":"2026-08-07T05:43:06.375870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.362222Z","title":"Saminger, E","venue":null,"work_id":"b58e535e-2564-41e9-815a-98048038b3af","year":2008},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.844923Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:96c06fbdf4848fff36609273e98735adccb8662f83aaa8f95363d2121d27ac1f","observation_id":"a0a216c5-f253-4f19-aa51-5391be090e8c","resolution":{"observed_at":"2026-08-07T05:43:06.365713Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.351865Z","title":"153 (2005) 249-260","venue":null,"work_id":"845f1005-d3a3-4bd4-af5d-24984caa1a9d","year":2005},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.906504Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:fc6f3e7d0314d1b04fe366f5830047fdf77a941d07ef456f23b9561cadc8a494","observation_id":"ca964e65-608d-4065-bc0d-8b1ecc724d9f","resolution":{"observed_at":"2026-08-07T05:43:06.354759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.341437Z","title":null,"venue":null,"work_id":"67bae386-fe4b-44be-828f-834d0ed611e8","year":2002},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:05.950119Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:254605db39b04bb1c1eff62feebd4b1549523c6d801bf49216a93b34b24f85f2","observation_id":"4f4bd478-db34-466f-830f-d874a715b48b","resolution":{"observed_at":"2026-08-07T05:43:06.345136Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.330915Z","title":null,"venue":null,"work_id":"9b4e4d47-83d5-4aae-b60d-5262a01b6a4d","year":2003},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:06.032573Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:efb3b670f161f44b04d51db9bbf610b41649943c6df920023b093791cf4c0c59","observation_id":"8868af24-6dc5-4a00-9dca-039059b385f8","resolution":{"observed_at":"2026-08-07T05:43:06.334274Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.320793Z","title":"Weber, A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms, Fuzzy Sets Syst","venue":null,"work_id":"b6d08d52-7b6d-4f54-8b26-2cfd470f67b1","year":1983},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:06.118406Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:acb562225e3791ef9d37f5391f3619945ee3cad54a2a1d0227d737099dd53710","observation_id":"a49e55fb-2243-4d20-bd64-69d2273e2d20","resolution":{"observed_at":"2026-08-07T05:43:06.324581Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:43:06.274230Z","title":null,"venue":null,"work_id":"071e4a92-9a27-491d-aaa3-ba16ed50bb5f","year":1976},"citing_paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T05:43:06.187258Z"},"links":{"citing_paper":"/paper/2506.07567"},"observation_digest":"sha256:39665363e6760f2f09be589fd88558d54e589d8aefe398468bc2db52f9277386","observation_id":"a5a88a35-78aa-4f88-8d6f-85104eac1164","resolution":{"observed_at":"2026-08-07T05:43:06.313209Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.07567","last_updated":"2025-06-09T09:06:04Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-07T05:28:11.076331Z","submitted_at":"2025-06-09T09:06:04Z","title":"Left-continuous pseudo-t-norms on modular lattices"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":15},"total_outbound_references":20},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.07567."}