{"as_of":"2026-08-16T22:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c5a4adad42cf3c9263f28d04a8f3ffc34dbda05cb07f8c440fa993e90e1f6613","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T10:54:46.916475Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T16:22:28.051636Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-15T16:22:28.433277Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"cited_work":{"arxiv_id":"2504.17396","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.17396","snapshot_observed_at":"2026-08-15T16:22:28.433277Z","title":"Periodic homogenization and harmonic measures","venue":"math.AP","work_id":"5ba1c0b4-a171-44d3-aba8-2c7b77d8d4bc","year":2025},"citing_paper":{"arxiv_id":"2509.06627","last_updated":"2026-06-23T15:53:45Z","snapshot_observed_at":"2026-08-15T16:12:37.203423Z","submitted_at":"2025-09-08T12:43:19Z","title":"The $L^p$ regularity problem for parabolic operators with transversally independent coefficients","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T16:22:28.051636Z"},"links":{"cited_paper":"/paper/2504.17396","citing_paper":"/paper/2509.06627"},"observation_digest":"sha256:788a20a3790f624d6fa9e9965ded2e568655f0d842f74753fa02df94c3c3a7f6","observation_id":"9ca52720-075d-41ea-9562-14748e26329f","resolution":{"observed_at":"2026-08-15T16:22:28.439864Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2504.17396/citation-record","integrity":"/paper/2504.17396/integrity","json":"/paper/2504.17396/citation-record.json","paper":"/paper/2504.17396"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:47.196685Z","title":null,"venue":null,"work_id":"5ea40be1-afa3-41c6-bc20-375de12e5781","year":1981},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.836355Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:3251cbf9bf71b360ca58c703b4bce35e487c70a4706a6e07334ab6b826e317b9","observation_id":"a3274a70-f275-4b43-8c86-49c0fb02b0b4","resolution":{"observed_at":"2026-08-16T10:54:47.201247Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:47.180451Z","title":"Chipot, D","venue":null,"work_id":"e45f80f2-75dd-4aef-8375-62b1714ebdb4","year":1986},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.841991Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:83006ee8472bc5f327330a4505c667cd5d75ce97edd496fe38b90fb2372152a4","observation_id":"01314ff4-a4fa-4ba8-a94a-da8fc214b107","resolution":{"observed_at":"2026-08-16T10:54:47.185845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:47.164884Z","title":"David, L","venue":null,"work_id":"6eaef379-4143-4085-9dc6-2ef240d091bf","year":2022},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.846786Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:b62e9dd131a0fe7304c5c4060493d97b2699d37576fc5edb1e66b47999b3e2d0","observation_id":"fa38b464-2c2a-4925-bcb9-9c498b00e985","resolution":{"observed_at":"2026-08-16T10:54:47.169556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:47.150501Z","title":"Dindos, S","venue":null,"work_id":"b7609e1f-e506-4f5f-9f95-5da41d54b2ef","year":2007},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.851489Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:b2174eb40fc41fefc9845e6178f467752290266757d28ada746faaf30be0ee95","observation_id":"10160b43-b330-4ee6-86a2-9149f5d153cd","resolution":{"observed_at":"2026-08-16T10:54:47.154983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:47.135632Z","title":null,"venue":null,"work_id":"7d19f653-9be9-4bc1-9ae8-757d7c4b954a","year":1991},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.856450Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:a2b55f7dca9f0cf34bf28d6f6f15b367c959a9f5c4a830eca3a3be2ca9e359e4","observation_id":"62e7a34c-efe1-4682-a499-da49a1f49950","resolution":{"observed_at":"2026-08-16T10:54:47.140174Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:47.119544Z","title":"Giaquinta and L","venue":null,"work_id":"552d7050-ce38-4bf1-8ab8-88a456bc6675","year":2012},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.860983Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:d36f1f26e2c815dd21b5580ed134e14d970a9836f39897ec04344fa15992842f","observation_id":"5f8194a5-a6b8-45d5-877e-de766dc191cc","resolution":{"observed_at":"2026-08-16T10:54:47.123946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:47.104607Z","title":null,"venue":null,"work_id":"c1df070c-f08f-4706-93c6-af334cc89eb8","year":2022},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.866119Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:9ad9b35aa44a5ac61c8bebf5425020251b30d31e7d984b17215a90343f3fef93","observation_id":"1f402eaf-3205-44ee-aa91-a55ff0fc9485","resolution":{"observed_at":"2026-08-16T10:54:47.109341Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:46.870591Z","title":"Gloria, S","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.870591Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:4c99fd0ee4270ccad98273bedf204e1d1fdcde8c97bc6f9738f2e44c0f18f57f","observation_id":"b93e8e17-0594-4b30-91e6-c8a9ddcf49a7","resolution":{"observed_at":"2026-08-16T10:54:46.870591Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:46.875382Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.875382Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:f0f618652e7a8f9536b786114c74db0cf87b16fb0be1110f98354221b720b94d","observation_id":"781343bb-d538-44a8-847c-5e69190ee7b3","resolution":{"observed_at":"2026-08-16T10:54:46.875382Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:46.879885Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.879885Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:81073c7732c169a1f82b8efcafa7581a9da230032375a71acc8b372ab679d45d","observation_id":"92255979-81cc-48bb-985a-8dc4f85e170e","resolution":{"observed_at":"2026-08-16T10:54:46.879885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:47.059264Z","title":"Kenig, H","venue":null,"work_id":"0e8f2a0b-2a5f-439c-8a03-3eb5f5c7d5de","year":2000},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.884237Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:0b80261c3996d89368f779371d4128e0ed13ce079a8bacb9a36bfead8347e84b","observation_id":"d28b280d-728d-4436-9565-95ead321d88a","resolution":{"observed_at":"2026-08-16T10:54:47.063663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:47.043084Z","title":null,"venue":null,"work_id":"4469e64d-b972-4243-88c1-88fbfbbc8aa0","year":2012},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.888889Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:0dd21a05dbeb804c170133bd1777d66b0717dc7cb8c4bcbf9e782d0a34be109c","observation_id":"733ac8ef-996c-4c24-a455-ea8b484c6f06","resolution":{"observed_at":"2026-08-16T10:54:47.048254Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:47.026780Z","title":null,"venue":null,"work_id":"f59d45bf-86c2-416d-8b1c-5ddbecc149a9","year":2001},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.893582Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:8509904c26a5ba110431f3f2ff219b878d806a5344ccdea9363c074494f7bcb9","observation_id":"9e12af95-f19a-45b2-9b61-5f0b46514b5d","resolution":{"observed_at":"2026-08-16T10:54:47.031411Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:47.010961Z","title":null,"venue":null,"work_id":"7d01b598-3915-4589-9966-961751f9a958","year":2011},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.898381Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:45884975c70fbdad61508e01737ea1ade6b756a6849cb57528e7afb841631d5d","observation_id":"4f78dd93-e244-49e9-b12e-d0fa808c1c9c","resolution":{"observed_at":"2026-08-16T10:54:47.015694Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:46.995502Z","title":null,"venue":null,"work_id":"179ff4f4-4209-407b-9841-4d29f1a53e9f","year":2011},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.902897Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:cba1e3fb1ad72053c89595115fe430e6f03620b902834f9c79e1c6ab0df659ea","observation_id":"12b72a05-a843-49d0-9b11-2822c1ba026c","resolution":{"observed_at":"2026-08-16T10:54:47.000510Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:54:46.979179Z","title":"Modica and S","venue":null,"work_id":"017ed291-240b-4442-a16c-785c342c9c46","year":1980},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.907485Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:778f3bfbbac38da18faeeae5c937609813dcbd3a386c99923334e6db6cda7468","observation_id":"43b2fbb3-33f1-4892-aeb1-d71157ede8a1","resolution":{"observed_at":"2026-08-16T10:54:46.984310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.10115","last_updated":"2019-12-20T21:50:50Z","snapshot_observed_at":"2026-08-13T03:55:49.436231Z","submitted_at":"2019-12-20T21:50:50Z","title":"Failure to slide: a brief note on the interplay between the Kenig-Pipher condition and the absolute continuity of elliptic measures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.10115","snapshot_observed_at":"2026-08-16T10:54:46.911708Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.911708Z"},"links":{"cited_paper":"/paper/1912.10115","citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:4e1b30839b3b58c66627829a9566d9012f97e58d12cb70cc8b2a773d435f0db7","observation_id":"3f10211f-5bad-47f4-a01a-5a4ba99b1df4","resolution":{"observed_at":"2026-08-16T10:54:46.911708Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:54:46.963183Z","title":"Uhlenbeck","venue":null,"work_id":"ac054da1-30a0-4185-801a-4ca74c224239","year":1973},"citing_paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T10:54:46.916475Z"},"links":{"citing_paper":"/paper/2504.17396"},"observation_digest":"sha256:1a854ec46613e887426d835ebcdc04bd25efc9cacaa2efad547fd6c19d79ce6e","observation_id":"c193b977-8362-4ece-a0d4-e9f2cf964eb0","resolution":{"observed_at":"2026-08-16T10:54:46.968550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.17396","last_updated":"2025-04-24T09:35:14Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T10:39:09.055322Z","submitted_at":"2025-04-24T09:35:14Z","title":"Periodic homogenization and harmonic measures"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":18},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2504.17396."}