{"as_of":"2026-08-23T23:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ba6188890d1bf34498057e4ec700abed5aceb86ad3f142482e1dc8a59a76dfcb","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T10:41:10.934414Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/2412.16408/citation-record","integrity":"/paper/2412.16408/integrity","json":"/paper/2412.16408/citation-record.json","paper":"/paper/2412.16408"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:41:11.597080Z","title":"& Blackburn, N","venue":null,"work_id":"9fe0af43-8ae0-4cc6-a481-36b350cf5a49","year":1999},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.762323Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:a39a80c24f4ff2882ea0cd0e104689bfe21fec15f1ba5276231d689db7772f7d","observation_id":"40c9738e-9ef4-4896-b4ed-66f43d241d05","resolution":{"observed_at":"2026-08-11T10:41:11.603437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.581201Z","title":null,"venue":null,"work_id":"eab1a781-f8ff-478e-a21a-8dc70d63b674","year":2001},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.767446Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:e3a04b37fe433b9872aefaadaecacec029dde29523811ea73268ec898c718741","observation_id":"847004cb-5dc4-44e7-a7de-7576373a4a77","resolution":{"observed_at":"2026-08-11T10:41:11.586682Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.565687Z","title":null,"venue":null,"work_id":"e92f7902-bd75-4b3a-a62c-c932664b28f4","year":2013},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.772490Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:cbc9c27fe97eae2ec1f5727be589c5a7cda2641e0d8c82f0152cb9ac7ca73bdc","observation_id":"aa67ac07-dc72-4c01-bb91-87e1425068c5","resolution":{"observed_at":"2026-08-11T10:41:11.570590Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.551135Z","title":"M., Carrara, F","venue":null,"work_id":"12a1bfb3-543e-4aed-bd02-8252f22ac611","year":2022},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.777031Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:e81984bc0c806e90415988b8e83189ecf0ae6bfc951ebd1e3a23eff1364b4bc2","observation_id":"ce64dac8-a294-4b6a-9e6a-a1c6c06f81a0","resolution":{"observed_at":"2026-08-11T10:41:11.556093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.538345Z","title":"Marine microbes see a sea of gradients","venue":null,"work_id":"77050d34-a130-440c-a81c-afc715863883","year":2012},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.782758Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:62debe60151764f16c858acd25b3b54a71c649c4312e903242cf351377275689","observation_id":"2ede7ef9-268c-4541-9fd0-3c3dfdd2453b","resolution":{"observed_at":"2026-08-11T10:41:11.542042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.525875Z","title":"& Łagód, G","venue":null,"work_id":"37649fcf-7090-40b2-ad1d-36e88e06470a","year":2020},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.787422Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:0cda3d3664a24a99431a89234ed56dc6267c4f7991d83cea5d8b5da11ab15c49","observation_id":"64a980fc-7d84-4735-bd2d-d9aac6d760da","resolution":{"observed_at":"2026-08-11T10:41:11.529800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.513441Z","title":null,"venue":null,"work_id":"258fbe46-c3eb-4b4d-b1b5-37158bce7591","year":2022},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.793209Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:d1f1fa5f340d39c1b65c8c9d9beb54e30cc2fb83924a0956ab757a7ceb884c3e","observation_id":"5b9462ea-089b-400b-bffe-96c30c48d033","resolution":{"observed_at":"2026-08-11T10:41:11.517535Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.499788Z","title":"E., Raina, J.-B., Peaudecerf, F","venue":null,"work_id":"543067dc-7fde-4aec-9daa-d8448afd96e1","year":2022},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.797435Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:97e1ae296f62b97bed9e083e4752e240771893b5da09568c2b824d60accd78fd","observation_id":"c1cfca63-8a1f-454c-891e-b691079ede0c","resolution":{"observed_at":"2026-08-11T10:41:11.504035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.473184Z","title":"& Se ymour, J","venue":null,"work_id":"7be28ba2-d3c2-4d6a-b4fc-d740858c0568","year":2019},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.801894Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:5284c486c7ea0fc10f7c99b701999554bc0df698782fbe0821976e3d78df086f","observation_id":"b35c602a-0016-45a6-8c4d-5c03286e950f","resolution":{"observed_at":"2026-08-11T10:41:11.488905Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.415555Z","title":"R., Johansson, M","venue":null,"work_id":"34d75ac8-feec-4fb3-a6e7-f47275623876","year":2004},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.806024Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:727bc017132fa0ba37d4ae4e5a875cc46690d1a3c595146f4e78be6591f11689","observation_id":"4ee0d6ae-fdb9-4f79-bb1d-d2c62a721ce2","resolution":{"observed_at":"2026-08-11T10:41:11.436527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.394722Z","title":null,"venue":null,"work_id":"a9ed79ce-c599-4bd5-9cda-ee509fb710c9","year":2003},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.810292Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:a56eeb7d6b85a0d84c93bd67d37b3c4c99e4d27f7bd958205f128b6331c6958a","observation_id":"0608fd6f-6f62-41d0-a457-bcf9f658b000","resolution":{"observed_at":"2026-08-11T10:41:11.400242Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.379912Z","title":"E., Roper, M., Ryu, S., Matsudaira, P","venue":null,"work_id":"8840d922-f0b9-443f-8d2f-250b019b5144","year":2010},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.814587Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:e4fc02b8f961fac4aba02ca3df9d75517b72f42109ecd63b0fb9bf321adc4f53","observation_id":"bce6a66d-1524-42bb-bd45-9e7946329bd9","resolution":{"observed_at":"2026-08-11T10:41:11.384661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.364855Z","title":null,"venue":null,"work_id":"fe9c904d-477a-48c5-bb68-2c805121cb5f","year":2013},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.818835Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:0994337790aee2f2ae511c135566c212475bde4f8d98cc5249820fde84394c3d","observation_id":"dd36a7a8-ab6d-4c85-986d-46d75b50c9a7","resolution":{"observed_at":"2026-08-11T10:41:11.369313Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.351107Z","title":null,"venue":null,"work_id":"7dd4502b-d573-491f-b3d2-64bb4e485719","year":2021},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.822753Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:e7c179e0e9f50d4b06c749aedeb474e9ceb7f670db28d8d4dda9483ccd728642","observation_id":"0fa45013-8f64-49cb-a2d4-c5c106c62fe9","resolution":{"observed_at":"2026-08-11T10:41:11.355429Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.337250Z","title":"& Prakash, M","venue":null,"work_id":"48143584-4cba-4342-9789-f3e64b32fb08","year":2023},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.826871Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:3a4e28437cd010143bababb1c97b0f3cc13c614198544e4e8b1797325f55039e","observation_id":"89813512-02df-476a-9beb-4d9007c4ea61","resolution":{"observed_at":"2026-08-11T10:41:11.341960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.323101Z","title":"A., Lopes, R","venue":null,"work_id":"7ea2b802-6b2f-433e-82c9-2d0a00a56c1b","year":2021},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.831200Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:33c244ab089e734bd7db47f3c55df706d7de9af3fe25eb8e9a513c8067cbb9c6","observation_id":"7ad1b869-ab22-4207-b4ab-88e16f705a17","resolution":{"observed_at":"2026-08-11T10:41:11.327427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.309386Z","title":null,"venue":null,"work_id":"98aff05b-e9fb-4f32-9af0-9c697233ce97","year":2017},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.835327Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:c8d9e99c4ae2d22826e4cf1264170296a1acefc80da77dcaaa3ffa67d4ffc4b4","observation_id":"246e17c0-abb5-4445-8f8e-858251fe69e5","resolution":{"observed_at":"2026-08-11T10:41:11.313693Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.295394Z","title":"& Nishi gami, Y","venue":null,"work_id":"890ce62d-e380-4b34-89a1-cde5a623c9d7","year":2022},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.839576Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:14c9f9694628df91604cfa9fb1ea9a402e47e5d2d2dcec78a51e6728d4ea0550","observation_id":"a931c9cc-898c-4e77-b6a8-860597629c53","resolution":{"observed_at":"2026-08-11T10:41:11.300364Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.281889Z","title":null,"venue":null,"work_id":"7b910285-6a1a-4bac-880f-cf6fe9d06422","year":2023},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.843765Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:368ecfb0990f0694576d946a521ad722647c5ad1ed9324c7245fcc639cfb6c3f","observation_id":"ebea64e8-4488-4917-9727-5d99dd7173f8","resolution":{"observed_at":"2026-08-11T10:41:11.286315Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.269158Z","title":"Nutrient ﬂuxes to planktonic osmotrophs in the presence of ﬂuid motion","venue":null,"work_id":"8a713baf-41da-4383-b4bb-2ba43b12eb79","year":1996},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.848236Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:1620ef36b1536211958d5eb1b36ad871b5f4dc5638c7988ab8c3308964fd3ebf","observation_id":"1d1a932a-76c0-4cd1-83fa-3f13ff1c609d","resolution":{"observed_at":"2026-08-11T10:41:11.273079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.256605Z","title":"A., Ganguly , S., Kessler, J","venue":null,"work_id":"6f7a2f42-4203-490f-a2fc-de58aab789a5","year":2006},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.851981Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:ca2f50b86470a0a27e16644e5ac0c0a03c59b326455c9486d387e966bb4e737f","observation_id":"c27ec54f-f531-4b63-864a-4af84ec35d41","resolution":{"observed_at":"2026-08-11T10:41:11.260446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.243436Z","title":null,"venue":null,"work_id":"eefb98b0-12ba-45a8-a8a5-6664b31e797c","year":2006},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.855632Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:ea2cdcedcca8982efa58d14a00dacca2e5add5b2ef8082afc9f67635483dfe41","observation_id":"6e69d53f-7a51-4caf-ab55-4f44419dae12","resolution":{"observed_at":"2026-08-11T10:41:11.248006Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.230793Z","title":"& Lauga, E","venue":null,"work_id":"88fe045d-2471-45c2-a8d9-2cb953963256","year":2011},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.859250Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:de8d1864e5914ad39d9c5d2902315fbf77819746f0d1e44a5af17ecc2da4abd1","observation_id":"c72a9878-f349-41f8-84bc-877e100eab47","resolution":{"observed_at":"2026-08-11T10:41:11.235137Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.216919Z","title":"& Lauga, E","venue":null,"work_id":"1fee5731-534c-46bf-aad9-bf23674e323b","year":2013},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.862786Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:f9c0e560325e2739e5f73763e17c173580652690501a29ea3f7168cec4a2009e","observation_id":"ff78e7a2-a8c3-46d4-8de4-0426ed57aaed","resolution":{"observed_at":"2026-08-11T10:41:11.221259Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.202788Z","title":null,"venue":null,"work_id":"d1150de0-e9b8-4457-9615-89739ffdd669","year":2024},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.866428Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:68279708bb0149a092f985cb3fc4074b028412f2182a8e2e6bf4f304669b8556","observation_id":"8e12e131-93a7-4e2f-9637-a2182cf7d33f","resolution":{"observed_at":"2026-08-11T10:41:11.207188Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.13467","last_updated":"2024-04-20T20:59:04Z","snapshot_observed_at":"2026-08-23T22:04:19.817823Z","submitted_at":"2024-04-20T20:59:04Z","title":"Optimal Feeding of Swimming and Attached Ciliates","version":1},"cited_work":{"arxiv_id":"2404.13467","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.13467","snapshot_observed_at":"2026-08-11T10:41:10.969143Z","title":"Optimal Feeding of Swimming and Attached Ciliates","venue":"physics.flu-dyn","work_id":"4a1db1b1-229b-4bf3-9202-2fb590c95096","year":2024},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.870196Z"},"links":{"cited_paper":"/paper/2404.13467","citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:a1943269c23494b8d921db67c9321f896dbbccfa994732c4f0fd957ff65a0ab4","observation_id":"8b3c8c9d-56a1-45d7-ba6d-5bfde4bd4dae","resolution":{"observed_at":"2026-08-11T10:41:10.976285Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.187527Z","title":null,"venue":null,"work_id":"6de94d25-4226-4a4f-8768-1dc509d5d6c0","year":1971},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.874358Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:8c02d05c4545c8acabb9ce783e45b783a859aa7bf476ff8efcfcc46af84d7ac9","observation_id":"5759a0bb-5623-47a6-ab6d-4778e004d996","resolution":{"observed_at":"2026-08-11T10:41:11.192137Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.173570Z","title":"& Pedley , T","venue":null,"work_id":"a38cfa94-ad32-4db6-a12c-9da6d795144f","year":2003},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.878924Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:daa6c7cdf7720e02764ea404d29597a31fcb016c946b79d2078c97a78c274f52","observation_id":"85f932e1-02a0-44db-9bcc-317f8a0c2d19","resolution":{"observed_at":"2026-08-11T10:41:11.178325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.159451Z","title":"& Pedley , T","venue":null,"work_id":"cb636a29-fb2a-4029-abc4-7404dcb70b71","year":2005},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.883046Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:d85cf6e0c73cb39378d7907de457c66a005b9cb1cdee1bde71012c2b0cfb306c","observation_id":"b8a774a4-a1ff-4917-bbe3-58294f41de35","resolution":{"observed_at":"2026-08-11T10:41:11.164186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.142921Z","title":null,"venue":null,"work_id":"eb6a06d9-be5b-4b7c-8cdc-391885c1e02a","year":1977},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.887311Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:d686ba24825c5a5e8290d0fcec0a99054e9b27c9b37df640f8041f3f12010e75","observation_id":"decc63bf-9a1c-4a1c-a4a9-98724f6686e6","resolution":{"observed_at":"2026-08-11T10:41:11.147337Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.129450Z","title":null,"venue":null,"work_id":"e0a9bbff-b150-4061-9a5a-36910d608944","year":1959},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.891608Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:4457dd5448b125d98d6bc9bc6b86fa0636e57d1798ac32f703b4505be2eecb5e","observation_id":"3716cc53-f5bf-4cc4-8794-7066f4121889","resolution":{"observed_at":"2026-08-11T10:41:11.133891Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.114892Z","title":"& Karrila, S","venue":null,"work_id":"0445f443-19a0-43a3-86cd-d7176cb498a7","year":1991},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.895920Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:46b351c2f093b42273aea11f0db6daee00eb54492a6cad9ed7b04012a74d8a40","observation_id":"ca618763-7fda-41b6-adf1-c1c20c2a4e77","resolution":{"observed_at":"2026-08-11T10:41:11.119455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.100670Z","title":null,"venue":null,"work_id":"e217c6e2-0968-493d-b0de-7b2e28c36aa4","year":1977},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.900173Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:4dbbae2cc21100002d25dacc5b83a0768caa0c2fefbdccc5abc07966fc200795","observation_id":"d70ee3d4-0e97-4768-8376-912a0524366b","resolution":{"observed_at":"2026-08-11T10:41:11.104844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.086831Z","title":null,"venue":null,"work_id":"cf133538-b18d-4b23-850c-a55f0caec83a","year":2015},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.904404Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:3efcbbe847717a2c58d1e6b7f93c473f14bec52c93c08b1611845b916ad7935a","observation_id":"2a3fe241-2771-4154-8a3b-d7d538c3055e","resolution":{"observed_at":"2026-08-11T10:41:11.091344Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.073331Z","title":null,"venue":null,"work_id":"9a9ef6f0-0d9b-49ee-a04f-f0cda4ad83fd","year":2018},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.908582Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:f6254d4312c6a98ebc7219acad933a059e1df6c646841d7b8d793b6e1151dfe6","observation_id":"626bd24c-2dfe-45f6-822b-d1ce4088ba66","resolution":{"observed_at":"2026-08-11T10:41:11.077567Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.059566Z","title":null,"venue":null,"work_id":"8deaf0cf-a15e-4f01-9652-f46eaf63a2dc","year":2023},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.913169Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:ed57f2663f9299ff2abce0d44d1455be7de6ff130289b38807e7cf23ef8973cf","observation_id":"4b0a3875-6550-4de4-8a10-13dfd62e84fb","resolution":{"observed_at":"2026-08-11T10:41:11.063299Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.045263Z","title":"& Zhu, L","venue":null,"work_id":"69645ab5-f892-40ba-9648-f2168ebeb957","year":2022},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.917457Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:079ade8dd74d73fc6c5ba9a545d57459dd2cd192dc51159ba445bb5915461ff7","observation_id":"bf393e23-1ca4-4cd0-aea7-1c931338370f","resolution":{"observed_at":"2026-08-11T10:41:11.049697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.031796Z","title":null,"venue":null,"work_id":"797c9cd5-3043-4389-b121-2e794239c81c","year":2023},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.921624Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:2ec06756e01506b047fc67356dca7aef834d2af0b8a0ff0d4b962f2bb1ef1fca","observation_id":"8e5e1044-a63f-46b0-acb9-8284f1949a0d","resolution":{"observed_at":"2026-08-11T10:41:11.035741Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.017115Z","title":"& Lewis, G","venue":null,"work_id":"f8267043-332c-4d29-9725-9e9d378cf928","year":2009},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.925841Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:3fc330f16d96639e4ea8a8246628f0223d063b915bed059109b5aae863fcf82f","observation_id":"b714607a-85b1-461a-82ee-8a8a4039770e","resolution":{"observed_at":"2026-08-11T10:41:11.021744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:11.001980Z","title":null,"venue":null,"work_id":"e411f22b-137a-4c58-bfce-35f8132145cb","year":2002},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.929955Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:77896e6da2dfdc3694269b89945483bf180c004fb3126f7bbd37f6ea8692f9ca","observation_id":"7c3f2f22-1f51-436c-b66a-88217ebc45e3","resolution":{"observed_at":"2026-08-11T10:41:11.006808Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-11T10:41:10.987428Z","title":"& Stegun, I","venue":null,"work_id":"08c714ea-eac8-41bd-af56-776c0fff3ee5","year":1968},"citing_paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:10.934414Z"},"links":{"citing_paper":"/paper/2412.16408"},"observation_digest":"sha256:d03d3490c9658399466b2d87d74f4557415e91a1a76119ee2c9beebed0e607bf","observation_id":"ec28bc87-7cb0-4f4e-b1c6-f561c00dd4da","resolution":{"observed_at":"2026-08-11T10:41:10.991874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.16408","last_updated":"2024-12-21T00:07:25Z","latest_version":1,"primary_category":"physics.flu-dyn","snapshot_observed_at":"2026-08-14T13:46:39.298955Z","submitted_at":"2024-12-21T00:07:25Z","title":"Nutrient Transport in Concentration Gradients"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":1,"verified_fuzzy":21},"total_outbound_references":41},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2412.16408."}