{"as_of":"2026-08-09T08:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b4ad6df7b1ebdad90633e736d5b905d8b0a1060959107668d561f5d1c092443e","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T22:42:38.437919Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2508.06697/citation-record","integrity":"/paper/2508.06697/integrity","json":"/paper/2508.06697/citation-record.json","paper":"/paper/2508.06697"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.05441","last_updated":"2024-08-10T05:01:46Z","snapshot_observed_at":"2026-07-06T18:59:09.430784Z","submitted_at":"2024-08-10T05:01:46Z","title":"Perfect t-embeddings and Lozenge Tilings","version":1},"cited_work":{"arxiv_id":"2408.05441","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.05441","snapshot_observed_at":"2026-08-05T22:42:38.708985Z","title":"Perfect t-embeddings and Lozenge Tilings","venue":"math.PR","work_id":"28d4f326-4b91-4454-93c5-eaab23200200","year":2024},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.289295Z"},"links":{"cited_paper":"/paper/2408.05441","citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:4a7296510fdbd0d19959643a3fb289e7165f220b85df70fd1f58f07ad9628247","observation_id":"ee87c972-53e2-45be-b2a9-3f1c2eed2993","resolution":{"observed_at":"2026-08-05T22:42:38.762711Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:41.492916Z","title":"Perfect t-embeddings of uniformly weighted A ztec diamonds and tower graphs","venue":null,"work_id":"7490c06a-2e37-4de0-8541-34025cc28a69","year":2024},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.331195Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:423dd4674842a5cdbf27dc79f6828f1701d41faf0ce8f0d2ed92b8a6e79bbffb","observation_id":"cfe2eb1a-ed23-4d2e-a2d7-70635afc2b3d","resolution":{"observed_at":"2026-08-05T22:42:41.528030Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.04938","last_updated":"2025-08-27T04:42:05Z","snapshot_observed_at":"2026-08-07T05:57:28.186181Z","submitted_at":"2025-08-06T23:39:49Z","title":"Perfect t-embeddings of doubly periodic Aztec diamonds","version":2},"cited_work":{"arxiv_id":"2508.04938","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.04938","snapshot_observed_at":"2026-08-05T22:42:38.620692Z","title":"Perfect t-embeddings of doubly periodic Aztec diamonds","venue":"math.PR","work_id":"15cf2016-564d-493d-8a93-32b4f97a3201","year":2025},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.404970Z"},"links":{"cited_paper":"/paper/2508.04938","citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:1dc246b10f260a9dd980ef27d8a7209f1c2125210379cf97513f955040b795f6","observation_id":"a6e515cd-36f4-433d-bc3d-710da59b4353","resolution":{"observed_at":"2026-08-05T22:42:38.660932Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.06272","last_updated":"2021-09-13T19:18:48Z","snapshot_observed_at":"2026-07-06T11:47:20.802394Z","submitted_at":"2021-09-13T19:18:48Z","title":"Bipartite dimer model: perfect t-embeddings and Lorentz-minimal surfaces","version":1},"cited_work":{"arxiv_id":"2109.06272","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.06272","snapshot_observed_at":"2026-08-05T22:42:38.496842Z","title":"Bipartite dimer model: perfect t-embeddings and Lorentz-minimal surfaces","venue":"math.PR","work_id":"2a1ebecc-d41a-4da6-95da-659f608b4925","year":2021},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.468492Z"},"links":{"cited_paper":"/paper/2109.06272","citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:dff2e95f349fee247eb8868dcd4f43b174fba36b84a8718c09a6b6a56db5dc46","observation_id":"bcb1c886-ecea-423e-acc4-c0595ed33c61","resolution":{"observed_at":"2026-08-05T22:42:38.545605Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:41.400615Z","title":"Dimer model and holomorphic functions on t-embeddings of planar graphs","venue":null,"work_id":"d0ed37df-9c9a-4c61-86a3-2af36486c613","year":2023},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.553430Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:4a931aa251426b451d11d7e6e522fe266b9f231bd2d1620bbdb19b77c30c6165","observation_id":"70a9a71e-2aa7-4247-98f0-d47c00b92931","resolution":{"observed_at":"2026-08-05T22:42:41.462793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:41.242423Z","title":"Fluctuations in the A ztec diamonds via a space-like maximal surface in M inkowski 3-space","venue":null,"work_id":"79cdcc21-371a-4d0a-bd3a-4f0018f23453","year":2024},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.589162Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:7c99eb02d04d4f266e39d20c47c3c7df3879a1f42d7b866dbf26ff680c3a30d3","observation_id":"3f58b821-caab-40ea-ace6-0a004c50abee","resolution":{"observed_at":"2026-08-05T22:42:41.327358Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:41.144886Z","title":"Domino statistics of the two-periodic A ztec diamond","venue":null,"work_id":"30c602d9-bbaa-4528-8b55-173e03ff716b","year":2016},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.597396Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:2a8b13af20be3a54e740c8adc0263af8445a294bc470a0b03a76c5a20db08a99","observation_id":"b4722a10-6dd7-41c0-a358-22f8f82c32a7","resolution":{"observed_at":"2026-08-05T22:42:41.197691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:41.024309Z","title":"Coupling functions for domino tilings of A ztec diamonds","venue":null,"work_id":"eb383ee0-934f-424b-ac42-879482d217e7","year":2014},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.645113Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:2811c6109c8ff20ff13228e15bc27b846ef8fcd6364d793fc750c3da232c2510","observation_id":"46e1dc0b-74e4-438b-a3cf-6e7862d6404e","resolution":{"observed_at":"2026-08-05T22:42:41.079564Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:40.903785Z","title":"An inhomogeneous lambda-determinant","venue":null,"work_id":"f0e60d14-b890-485a-bebb-bace94d41f0a","year":2013},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.690527Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:b27d5d5f09a750eb780481dea9a6b661dea1678e6eef642f56e200bb5cf63149","observation_id":"d8b862b0-2a8b-4400-b9cc-af6ea4ebd717","resolution":{"observed_at":"2026-08-05T22:42:40.945890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:40.750832Z","title":"T -systems, networks and dimers","venue":null,"work_id":"e671fe1f-c808-44e7-b96f-e2a63544df6d","year":2014},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.720722Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:b43166e3a6f6cc0c27501d6f07e9d7faf304b0181c6eb08d329a060b8eac4838","observation_id":"55bf135a-1d5f-48c3-b2a1-c149fd25558c","resolution":{"observed_at":"2026-08-05T22:42:40.806812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:40.526836Z","title":"Q -systems as cluster algebras","venue":null,"work_id":"43e98dfc-ad81-472a-82ae-84a73d42513b","year":2009},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.803072Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:e357d33d5b043d77784a5548d0fe2f9cddab9eec8aeab7a6c1dbbe07617126a3","observation_id":"a6995479-485e-42d7-bf97-b132fab9b348","resolution":{"observed_at":"2026-08-05T22:42:40.624757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:40.349214Z","title":"Arctic curves of the octahedron equation","venue":null,"work_id":"b11d2d4f-7f03-47a6-802a-266abed99af7","year":2014},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.882054Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:03c5694e24830a3eec24cacbc1f9cecc2e91017d60d97b7a514b8ef608f44f99","observation_id":"a6844bed-16c9-4671-9ee7-749bd245b0c9","resolution":{"observed_at":"2026-08-05T22:42:40.455663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:40.237453Z","title":"Arctic curves of the T -system with slanted initial data","venue":null,"work_id":"59c75567-5fa1-4031-9d93-af2efd20d24a","year":2024},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:37.913677Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:f053049582cf053dae1516e576365d3dd785cc688a85cc897c4be16981deeab5","observation_id":"8303fcf5-38ff-49ca-bf6b-993f537fec25","resolution":{"observed_at":"2026-08-05T22:42:40.307532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:40.067208Z","title":"Perfect t-embedding of uniformly weighted generalized tower graphs","venue":null,"work_id":"1d370e6a-6628-4ecf-8bf4-39a4ee3aec86","year":2025},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:38.025280Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:de9127063f61d9a0f059b5656c398e86c45250302825b2e34014f69d95b875bb","observation_id":"82a8de1a-0a8d-42ae-9cd8-ee9e60695457","resolution":{"observed_at":"2026-08-05T22:42:40.125421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:39.910500Z","title":"Dimers and circle patterns","venue":null,"work_id":"9ce8c9d4-330e-415b-8ece-b5a8d072aaff","year":2022},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:38.061114Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:87b00c8c25e3671747ebf7e62713206a6c7fc78626abb9da2d9d2c304cf21bc9","observation_id":"bf01f220-51e9-459d-a0f4-8027a04c5ea1","resolution":{"observed_at":"2026-08-05T22:42:40.002943Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:39.750899Z","title":"Functional relations in solvable lattice models","venue":null,"work_id":"a8417e6a-4286-4d18-9114-5204ea067f13","year":1994},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:38.104284Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:c565633dff5d1da7009fb0087d9be9c5c7dc577d16cf087fbc955b4fb50e9797","observation_id":"3ba563d9-9cfd-4532-8c07-11d478a5a941","resolution":{"observed_at":"2026-08-05T22:42:39.808873Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:39.600895Z","title":"Functional relations in solvable lattice models","venue":null,"work_id":"e943addc-cbfc-4e28-8ad0-924567000db2","year":1994},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:38.183465Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:2d16245533466b27a20ae4d12e1bb13e0df378bd42fce1a50cf330bb0b3537b9","observation_id":"63744bbb-20f2-4223-a3da-c89df9d37eeb","resolution":{"observed_at":"2026-08-05T22:42:39.685573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:39.479101Z","title":null,"venue":null,"work_id":"98707226-ccf8-466d-af9d-d1c3c8d26b7e","year":2007},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:38.255303Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:609c56c3977fd317678b0df9617baca189774b8d10aa4f5cc2be5abc764cc0cb","observation_id":"72e4db3e-054d-45d2-b044-a3e92159dff2","resolution":{"observed_at":"2026-08-05T22:42:39.532368Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:39.326362Z","title":null,"venue":null,"work_id":"c0692341-3824-4395-bd52-86d6a65433d0","year":null},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:38.302744Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:ce124e3ab9eb7ee501b798e71b4eef8c8a19eef37f7d6b6df4e9f81739cc0cf5","observation_id":"0b9a79cf-10a7-4988-bbba-8cd4ee05de40","resolution":{"observed_at":"2026-08-05T22:42:39.384627Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:39.113360Z","title":null,"venue":null,"work_id":"60b3fbf6-050b-401e-80a0-745229988328","year":null},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:38.312422Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:429372a3f41184deeae876138579dec63d7597b7509bd6be36375e882caaa3bb","observation_id":"20251ba6-7c99-4547-983f-f4f66c75f8a4","resolution":{"observed_at":"2026-08-05T22:42:39.234393Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:38.971007Z","title":null,"venue":null,"work_id":"3eab43d6-4c4e-45f5-831e-f6dcb083b52e","year":null},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:38.396259Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:6b9bda6aa38d928efa4aab1288807dffe052f626de48dbe4b7bfd0f121ef4771","observation_id":"ec5f0d99-34fc-4ce3-a6a0-ed33d320a265","resolution":{"observed_at":"2026-08-05T22:42:39.050003Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:42:38.828064Z","title":null,"venue":null,"work_id":"7944cecf-dcb1-4ebd-a7b0-d1b87eef6dca","year":null},"citing_paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:38.437919Z"},"links":{"citing_paper":"/paper/2508.06697"},"observation_digest":"sha256:b26071e197b1deed31cbd2e2f92f19b8492b8f84cd4cbce47dae0f9b575e1485","observation_id":"2a43a02a-9988-46aa-bf39-3e029c3027c8","resolution":{"observed_at":"2026-08-05T22:42:38.877556Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.06697","last_updated":"2025-08-19T09:13:23Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-08-05T22:41:54.531409Z","submitted_at":"2025-08-08T20:51:36Z","title":"Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":3,"verified_fuzzy":14},"total_outbound_references":22},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2508.06697."}