{"as_of":"2026-08-16T14:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:09e9fceb178a02d9361f2a86a0ae58b7c3b4264561ab915ac0a7faac3bb9ec02","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:13:24.487237Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.03787/citation-record","integrity":"/paper/1908.03787/integrity","json":"/paper/1908.03787/citation-record.json","paper":"/paper/1908.03787"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:13:26.145707Z","title":"Amick, L","venue":null,"work_id":"979d3e7d-a9e8-4ef3-9c90-92327e27fb28","year":1982},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.881594Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:64a4b212569da9bb1320b21d9cadac5e3959f849dc2a070bbe8930913f28fe24","observation_id":"31e77c28-fa5e-4c82-85a0-2e2b6254ea2c","resolution":{"observed_at":"2026-08-14T14:13:26.150109Z","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":"2026-08-14T14:13:26.009492Z","title":"Buffoni, E","venue":null,"work_id":"0daba907-0926-475f-8ebc-c5564342cde0","year":2000},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.923795Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:bb974978458f00cb68227114f9388b7c7a0b50db06263bc94253b4d1a08b1923","observation_id":"f4b6e029-d493-498c-93a6-6819b28f6b02","resolution":{"observed_at":"2026-08-14T14:13:26.096496Z","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":"2026-08-14T14:13:25.997988Z","title":"Brooke Benjamin, P","venue":null,"work_id":"836550f3-e988-48b4-a6ff-b91673c3db6a","year":1982},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.931015Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:6094331122d825884ccc7bfda45594f7311f51c4cb9489ff9bd8c1bc813641e5","observation_id":"e357f04b-66c0-4f00-baf7-8d0a2316a193","resolution":{"observed_at":"2026-08-14T14:13:26.001891Z","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":"1612.08971","last_updated":"2017-01-17T15:46:57Z","snapshot_observed_at":"2026-08-14T21:23:25.440548Z","submitted_at":"2016-12-28T20:02:26Z","title":"On the Hamiltonian for water waves","version":2},"cited_work":{"arxiv_id":"1612.08971","doi":null,"metadata_source":"pith","pith_arxiv_id":"1612.08971","snapshot_observed_at":"2026-08-14T14:13:24.672387Z","title":"On the Hamiltonian for water waves","venue":"math.AP","work_id":"94e7c7dc-d24a-4892-835b-b4092c072422","year":2016},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.936180Z"},"links":{"cited_paper":"/paper/1612.08971","citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:aafc23ec6577453082355eeb2046b2bc46fc4271162b69e1b34ba5ca24e0cf4d","observation_id":"c9e3a5da-a519-4ee9-a9f3-bdcbff1a5abd","resolution":{"observed_at":"2026-08-14T14:13:24.705275Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:13:25.986341Z","title":"Craig, M","venue":null,"work_id":"5f952123-1f6a-45ae-a040-d06be5d722df","year":2018},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.943072Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:da0c51981d0cbc71c7cd73f86777b1047ce5d352d59d2580597569333e0b918c","observation_id":"034320fc-0237-4349-8dbe-ba5a3eb5ce67","resolution":{"observed_at":"2026-08-14T14:13:25.990245Z","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":"2026-08-14T14:13:25.882154Z","title":"Craig, P","venue":null,"work_id":"5e5828f7-f7f8-4dd7-a9a4-623f092175b1","year":2005},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.947209Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:a252f147e1a9cfa3bb14fe2457597074f633e2f0183d8061d038184bc83d0966","observation_id":"4e00acb1-104f-49f0-94c8-325b081cabf8","resolution":{"observed_at":"2026-08-14T14:13:25.979554Z","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":"2026-08-14T14:13:25.769625Z","title":"Craig, D","venue":null,"work_id":"ae148ecf-599a-44c9-be31-21efe6bfc268","year":2006},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.951064Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:f6e1710d12d5f5297ca066a864c69320b48a0137654f5fd3c218fff4350eb457","observation_id":"9a572800-19ea-411a-bf74-847a02a30049","resolution":{"observed_at":"2026-08-14T14:13:25.819108Z","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":"2026-08-14T14:13:25.757501Z","title":"Craig , D","venue":null,"work_id":"5058f706-e9bc-424c-a3da-65c88f1a4bb3","year":2002},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.956171Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:8466486b8b044e596c524ca24616c3ab8517c6d37ec59190fdd216641e44f327","observation_id":"1034bde8-797e-498d-bcdb-f04079ce0da2","resolution":{"observed_at":"2026-08-14T14:13:25.761646Z","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":"2026-08-14T14:13:25.746872Z","title":"Craig, C","venue":null,"work_id":"c4ff01a7-32c1-4842-a4a4-37b7f05b62b1","year":1993},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.960179Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:2c8257c409218d60f264eb899f33044d85f64a818e8a63d64a70f4dc97a39121","observation_id":"856b9c6e-052f-4679-827e-61889c4a544c","resolution":{"observed_at":"2026-08-14T14:13:25.750827Z","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":"2026-08-14T14:13:25.735491Z","title":null,"venue":null,"work_id":"aa214272-d703-4cff-96c5-351538ee0d6d","year":1982},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.964375Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:055a554443e663b335dc0e3e482ebc2d014f1429af3dc07765688ab85d5ddb86","observation_id":"b955f0e9-9762-410c-825c-0f3ca5aefae9","resolution":{"observed_at":"2026-08-14T14:13:25.739511Z","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":"2026-08-14T14:13:25.725094Z","title":null,"venue":null,"work_id":"41f8ec15-bdcc-493a-adf6-0a5232fd416c","year":1970},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.968630Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:e6c8b34a50f3df336d1dfa4115d27bb3253cc64be14e0aea022b163fc61962c9","observation_id":"836deb22-f6be-4023-805f-35b97eabbb54","resolution":{"observed_at":"2026-08-14T14:13:25.728302Z","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":{"arxiv_id":"1906.07702","last_updated":"2020-07-19T13:51:27Z","snapshot_observed_at":"2026-08-16T10:02:06.496229Z","submitted_at":"2019-06-18T17:31:59Z","title":"Braids of the N-body problem by cabling a body in a central configuration","version":3},"cited_work":{"arxiv_id":"1906.07702","doi":null,"metadata_source":"pith","pith_arxiv_id":"1906.07702","snapshot_observed_at":"2026-08-14T14:13:24.598060Z","title":"Braids of the N-body problem by cabling a body in a central configuration","venue":"math.DS","work_id":"5e693e85-e19d-4875-a2f7-8d335636a81b","year":2019},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:23.972776Z"},"links":{"cited_paper":"/paper/1906.07702","citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:d25d4ad5ce6be95a87037bd77dc7b3dbb54f73f0be83fec9039ffc3cf2034bef","observation_id":"02486544-3b8c-4928-9db7-befd3d56fd52","resolution":{"observed_at":"2026-08-14T14:13:24.606184Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:13:25.522787Z","title":"Fontaine, J","venue":null,"work_id":"41345e54-1ab5-4fe3-88ee-1f5c9965966a","year":2019},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.039751Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:3cafd52fc00f551e73b35b28c58c950d367781ef9442d4b90e52dbc04efb748e","observation_id":"e0d2dbb2-ba6e-40de-af54-2077eaaff42f","resolution":{"observed_at":"2026-08-14T14:13:25.621098Z","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":"2026-08-14T14:13:25.510959Z","title":null,"venue":null,"work_id":"8966afec-58d3-4959-96b7-f4ebd5fa3e9a","year":1955},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.116654Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:5488148222b0976ed7b43f80c6a97613f0f146c323c2546541be6cf2ab67ac1e","observation_id":"e3c26c01-1d8b-4308-bc4c-8f0a46249768","resolution":{"observed_at":"2026-08-14T14:13:25.514673Z","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":"2026-08-14T14:13:25.497511Z","title":null,"venue":null,"work_id":"0039c7ed-0116-41c4-9310-6d5d70040dca","year":2003},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.183081Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:c2312b3113312aee3d0a587d2b801343beb25af872453abf4c88ddef4129cf9e","observation_id":"33c44f14-840a-43e7-b191-1235deca9549","resolution":{"observed_at":"2026-08-14T14:13:25.501922Z","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":"2026-08-14T14:13:25.485940Z","title":"Ize and A","venue":null,"work_id":"b6b30ba0-1acd-40e6-992a-85e087004dd4","year":2003},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.235923Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:7f299125b1b1e388df9da98625e93e9d93656f8045afeb3ce697dfc8362e7c39","observation_id":"d76086c0-d0a3-4fb5-950e-20e39b938a48","resolution":{"observed_at":"2026-08-14T14:13:25.489734Z","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":"2026-08-14T14:13:25.417714Z","title":"Kapitula, K","venue":null,"work_id":"d5a1d2bb-66bb-4e3a-bec3-b44c166ff9b7","year":2013},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.268387Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:23ddd7572590e7dc56b47b50c6d9be486f252c9c8a80e2228d1c718cdf492c5c","observation_id":"7574933d-0dbe-41b8-9f21-43e7f2326425","resolution":{"observed_at":"2026-08-14T14:13:25.478410Z","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":"2026-08-14T14:13:25.274804Z","title":"Krasovskii","venue":null,"work_id":"115d847a-8517-4dcc-bea6-cd621c5763c7","year":1960},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.298457Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:a9192048c601af4317debe3107bf52b83bcc233079af4e4bc4d0571019323e2d","observation_id":"7c110ed2-1d5b-46b6-bed6-8892e7520460","resolution":{"observed_at":"2026-08-14T14:13:25.344309Z","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":"2026-08-14T14:13:25.241070Z","title":"Krasovskii","venue":null,"work_id":"a09f000d-071c-4d10-a18e-a50af0b0bf74","year":1961},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.303174Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:8480448a5916eaf3ca087b5e205b4e313bdf48b0ffb9f6e9b9db221f86ddaaa4","observation_id":"02d36484-d68a-4868-8136-8c531548c162","resolution":{"observed_at":"2026-08-14T14:13:25.244919Z","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":"2026-08-14T14:13:25.228557Z","title":"Kuznetsov, E","venue":null,"work_id":"4a378025-b51c-43cb-8af1-57f8acf9667b","year":2019},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.307912Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:0f03628339c0cc12700cdb721a111e5818eef043622ce601d8358440d73d2598","observation_id":"5139a137-f5fa-4e49-aec6-be649cf22522","resolution":{"observed_at":"2026-08-14T14:13:25.233276Z","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":"2026-08-14T14:13:25.214657Z","title":null,"venue":null,"work_id":"3b467ab9-5ce0-41c6-a334-07480577f0ed","year":2013},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.313988Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:c8f83856b5e747a286aac37f44f28f696966f2427ba35961cba94113983a629a","observation_id":"6abd9781-6895-4678-982d-bf61c223477d","resolution":{"observed_at":"2026-08-14T14:13:25.219557Z","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":"2026-08-14T14:13:25.141464Z","title":null,"venue":null,"work_id":"708a05fb-92b9-4c4c-82fd-e697bf0e7683","year":1957},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.319168Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:beef7a770474d9d32d22c9c7713b272a94e0ed83f8791020c5fc213289577002","observation_id":"2564a92b-0bfa-4534-94d9-21b44ba27462","resolution":{"observed_at":"2026-08-14T14:13:25.198520Z","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":"2026-08-14T14:13:25.051616Z","title":null,"venue":null,"work_id":"3f335c6c-9510-485c-b736-166a1cbb800e","year":1961},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.330283Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:2d7540b1da2b06e858efb721af95c1bc8c3c10a823c6808d089d804c1762b755","observation_id":"c68d63cd-4e2b-44a4-b273-66200e1d9551","resolution":{"observed_at":"2026-08-14T14:13:25.076178Z","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":"2026-08-14T14:13:25.010884Z","title":"Plotnikov","venue":null,"work_id":"58c146b2-0b9c-4886-ba73-1c444acebd41","year":1982},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.336294Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:58df75e84b4213df3bdbf3169e9be0d006d97ede9ca27c6a79bd21fb47c7cf31","observation_id":"dc693901-9547-45ed-b990-3a883dc92476","resolution":{"observed_at":"2026-08-14T14:13:25.037559Z","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":"2026-08-14T14:13:24.904329Z","title":"Shinbrot","venue":null,"work_id":"d73e5cf3-ff0d-439f-9bc2-d3627be5709d","year":1980},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.384410Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:17957ffc6cd6cbd10d241179cdf74d8f364dc6ea42fc0efd7b9308f469e8a0a8","observation_id":"83b632cc-02a8-47fc-a3c3-6c4792ea7cbd","resolution":{"observed_at":"2026-08-14T14:13:24.945612Z","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":"2026-08-14T14:13:24.887001Z","title":"Zakharov","venue":null,"work_id":"ec7d784e-dcf9-454f-8ed8-c4baf21cae85","year":1968},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.439414Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:562b5d1b9d5822922ac4d5346c7e6dfed12ead132ac879a5999e3ec313e16c8a","observation_id":"50d7054f-0ca6-4573-b3a9-c77c9574578f","resolution":{"observed_at":"2026-08-14T14:13:24.892428Z","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":"2026-08-14T14:13:24.767133Z","title":"Vanderbauwhede, Symmetry and bifurcation near families of solu- tions, J","venue":null,"work_id":"f5704447-171f-4eab-bb1a-2da257686cd3","year":1980},"citing_paper":{"arxiv_id":"1908.03787","last_updated":"2022-06-29T15:57:34Z","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms","version":7},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T14:13:24.487237Z"},"links":{"citing_paper":"/paper/1908.03787"},"observation_digest":"sha256:a16e4eb9eb29cda7a722820008bbaab71a1bededea42ebb5a0790965b9d691a6","observation_id":"2fedd17d-9570-4e6e-ae2e-04d520ed9041","resolution":{"observed_at":"2026-08-14T14:13:24.840242Z","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":"1908.03787","last_updated":"2022-06-29T15:57:34Z","latest_version":7,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T08:11:26.003226Z","submitted_at":"2019-08-10T17:11:45Z","title":"Steady waves in flows over periodic bottoms"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":2,"verified_fuzzy":18},"total_outbound_references":27},"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 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.03787."}