{"as_of":"2026-08-22T12:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:625c2a4efd929c5070d5fe40932ff3830f99ed3252208d775a6b5c878c6e7c2b","coverage":[{"denominator":110,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:02:31.480205Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2508.10909/citation-record","integrity":"/paper/2508.10909/integrity","json":"/paper/2508.10909/citation-record.json","paper":"/paper/2508.10909"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.coph.2010.09.008","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Reaching biological timescales with all-atom molecu- lar dynamics simulations","venue":"Current Opinion in Pharmacology","work_id":"750612d9-5dc4-44a7-bfe0-25f52d019bde","year":2010},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.669723Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:ffa29cdc577a70424325f25f41f68f2c4458b092988dc7795bc7194112b2a3cb","observation_id":"f202716e-febd-4492-929a-a70cd1cb7bd5","resolution":{"observed_at":"2026-08-06T11:02:33.147724Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0167-7799(01)01636-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Whole-cell simulation: a grand challenge of the 21st century","venue":"Trends in biotechnology","work_id":"f2ff1942-eb74-4bb8-ae09-d97d3ddc5b39","year":2001},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.676247Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:6b6ded0ae15e64386a0619fafd0b853fd3b34406fa0faacc56a9e679d26e8e33","observation_id":"918f3dc5-5244-4d8e-a82c-f3b02f150710","resolution":{"observed_at":"2026-08-06T11:02:33.124946Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:30.682102Z","title":"A Grand Challenge for Computing: Towards Full Reactive Modeling of A Multi- Cellular Animal","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.682102Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:ff4893b08f8d87429ccc8716ab46939a054b769aaffc92d93b279823ce87a134","observation_id":"62218fa1-39a7-4f47-996b-6e13c77704b0","resolution":{"observed_at":"2026-08-06T11:02:30.682102Z","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":"2026-08-06T11:02:30.691608Z","title":"A Turing-like test for biological modeling","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.691608Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:f0064c2c2ebdf0e9dbc7ac61c9a92e8995c538c7cc45d32cd0f3a27d6d2859ce","observation_id":"84c8f2cc-d895-46f5-92a1-b46acc04b890","resolution":{"observed_at":"2026-08-06T11:02:30.691608Z","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":"2026-08-06T11:02:30.707185Z","title":"A whole-cell computational model predicts phenotype from genotype","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.707185Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:7a11e2c1eaae7e3462d0e57a257e43d57dde9683d3956d92e2f81d6ba8955a8a","observation_id":"dc455a35-0e1b-4564-8512-fa429e2ad6e7","resolution":{"observed_at":"2026-08-06T11:02:30.707185Z","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":"2026-08-06T11:02:30.718218Z","title":"The Minimal Gene Complement of Mycoplasma genitalium","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.718218Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:150e269a691fe1dc5109860849f30052ebf31d16d3bc24fd6b3332a5302ce314","observation_id":"43b94c07-0002-410a-8ce1-bf57bc3a9e6d","resolution":{"observed_at":"2026-08-06T11:02:30.718218Z","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":"10.1126/science.aav3751","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Simultaneous cross-evaluation of heterogeneous E. coli datasets via mechanistic simulation","venue":"Science","work_id":"5e9f862c-dca5-4e81-aec7-3c937d6fd1a7","year":2020},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.725026Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:eff25fda55f0341381f00a057c60692a50f51dfdb630c28de6b9fde00bdb4711","observation_id":"0540fdad-c725-4231-ab83-6e7f19135119","resolution":{"observed_at":"2026-08-06T11:02:33.074784Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1128/ecosalplus.esp-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:02:33.047470Z","title":"The E. coli Whole-Cell Modeling Project","venue":null,"work_id":"84227e45-1a58-48c0-a4f7-186c2087dcb4","year":2021},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.732483Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:25dcf2385171ce7eaa0b10cffd382b194e9a0508d9d0ba6f279b1e821341b12d","observation_id":"1ef00d5e-d266-44df-86f2-cda5d2954436","resolution":{"observed_at":"2026-08-06T11:02:33.054470Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:30.746733Z","title":"An expanded whole-cell model of E. coli links cellular physiology with mechanisms of growth rate control","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.746733Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:d832134b283344d55b534093e54129490be6c87db03b59332b275ac216ed1c31","observation_id":"aabb668d-e59f-4121-9634-e0c0ebc91e0d","resolution":{"observed_at":"2026-08-06T11:02:30.746733Z","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":"10.1002/bit.27298","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Comprehensive understanding of Saccharomyces cerevisiae phenotypes with whole- cell model WM_S288C","venue":"Biotechnology and Bioengineering","work_id":"504c8e27-029c-4379-a673-1279e0409249","year":2020},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.754183Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:4aeeb1fd7a3a8ae094832a2b72ea4fcfb207bcd3e27304de96b510c8a62cf073","observation_id":"8dad9305-0db5-4ab6-b203-2b4cb0ab954a","resolution":{"observed_at":"2026-08-06T11:02:33.030806Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0079-6107(02)00046-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Understanding complex signaling networks through models and metaphors","venue":"Progress in Biophysics and Molecular Biology","work_id":"5b9a0a71-5ee2-4af9-87e1-1883a3df5401","year":2003},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.760336Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:b780c0a397190d16682d6d0c5dc58d02d580956b65c0c6e97137e1cd0118fb8f","observation_id":"abdc81ef-14df-4fcd-8fff-97e295876d89","resolution":{"observed_at":"2026-08-06T11:02:32.998536Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2023.10280","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:02:33.804308Z","title":"Understanding molecular signaling cascades in neural disease using multi-resolution models","venue":null,"work_id":"6438df3d-78ea-4ce4-b33a-1c81981ed2ae","year":2023},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.766443Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:577bbb9ae138acc7a07965b0cf4cfa71b52fcf3e75cc380dadc3c3378213c9df","observation_id":"ad88cf0a-aa28-4b01-b8e8-1283789912e8","resolution":{"observed_at":"2026-08-06T11:02:33.817686Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:30.771290Z","title":"Rates and Durations","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.771290Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:092fa8232a88400c6c98ce083f3d8b6ce193a6bf7e969fa40f6881443ad37763","observation_id":"7aebdb47-a1c0-4016-8f16-817b656eb4b9","resolution":{"observed_at":"2026-08-06T11:02:30.771290Z","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":"2026-08-06T11:02:30.778917Z","title":"Multi-scalecomputationalmodellinginbiologyandphysiology","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.778917Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:94783046b549d40bdf0ad765ba54031d01dd32e6e1f0c2f4c843485c1ba30438","observation_id":"9184bf6b-ce69-45fd-9742-bf5c74965f1b","resolution":{"observed_at":"2026-08-06T11:02:30.778917Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1039/c0ib00075b","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Multi-scale modelling and simulation in systems biology","venue":"Integrative Biology","work_id":"22485c96-4f20-4d3d-b349-d5860dd3fd44","year":2011},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.787330Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:c17386e328f9cdf5c68206cff0423cc6184db19a314bb1c0cda1b4a7af769381","observation_id":"c597842c-34f5-43cd-be50-79781c505d1c","resolution":{"observed_at":"2026-08-06T11:02:32.957512Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1146/annurev-bioeng-071811-150104","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Multiscale Computational Models of Complex Biological Systems","venue":"Annual Review of Biomedical Engineering","work_id":"adea988d-02a2-4393-9d6e-988b933f045f","year":2013},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.795590Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:25fd0f65dc66fbef057e50c1b1d89107f510455625e11d3e673a547081a8363d","observation_id":"2280200f-62af-4ea5-bef4-9842ceec39e9","resolution":{"observed_at":"2026-08-06T11:02:32.937063Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:30.806198Z","title":"What is flux balance analysis?","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.806198Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:36c50cb4de072019cf7db7ca11302d004ea716780ff66b67b4539f8a56231801","observation_id":"322ad1d3-a85c-4b98-a80f-efed89ac5497","resolution":{"observed_at":"2026-08-06T11:02:30.806198Z","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":"2026-08-06T11:02:30.812814Z","title":"Classic and contemporary approaches to modeling biochemical reactions","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.812814Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:14537eed7d5c28bb4c1c69227cfaaa79a0e5be0c6ed5e51231315734a3e74c53","observation_id":"b2c7db30-2f7b-42a3-9ce9-ea17e7698fa9","resolution":{"observed_at":"2026-08-06T11:02:30.812814Z","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":"2026-08-06T11:02:30.819055Z","title":"ChapterXIV:FLUCTUATIONSINCONTINUOUSSYSTEMS","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.819055Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:425816a36e45894583c86fbc7678e0b880289f9493138a1e14aac0675e0b7006","observation_id":"feaef320-dfef-4ef6-8595-d30ff04cc4fc","resolution":{"observed_at":"2026-08-06T11:02:30.819055Z","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":"10.1103/physreve.70.020901","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Molecular discreteness in reaction-diffusion systems yields steady states not seen in the continuum limit","venue":"Physical Review E","work_id":"04194d82-8ee3-49ba-8830-38bf609bd822","year":2004},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.827607Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:ee31f48c1bafd5dc3c7826ad6b787aef109b95b75defeadf11d7e434392d8be5","observation_id":"cc37f64a-1fc0-44dc-82b5-8672e6070d7c","resolution":{"observed_at":"2026-08-06T11:02:32.918376Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:30.839965Z","title":"Nature, nurture, or chance: stochastic gene expres- sion and its consequences","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.839965Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:776e7895dd5285ed9b8c4749932350fd851968c5567ed1e39afd050440169705","observation_id":"fc78e9af-38fc-4881-a40c-fad882edddde","resolution":{"observed_at":"2026-08-06T11:02:30.839965Z","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":"10.1126/science.1161427","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A Stochastic Single-Molecule Event Triggers Phenotype Switching of a Bacterial Cell","venue":"Science","work_id":"40490f15-5f51-43d8-ac5b-cd6386a3283e","year":2008},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.848659Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:29d9d2cf3ae1b3de74e7f35a9c087b279394646ef214819743bf16b27d4b0f5e","observation_id":"49eaf59b-5e89-457f-9a7e-eda4a934e163","resolution":{"observed_at":"2026-08-06T11:02:32.895905Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1371/journal.pcbi.1002010","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Noise Contributions in an Inducible Genetic Switch: A Whole-Cell Simulation Study","venue":"PLoS Computational Biology","work_id":"b9ad3e09-c012-4629-9640-d4bf0277187b","year":2011},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.857636Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:44f7c4194d7c7cc446c18318ec5d6a62a870c180f81971e8dd12bacd7efa59e7","observation_id":"6d1618a3-55bd-49e3-9bb6-175d2d3d77d2","resolution":{"observed_at":"2026-08-06T11:02:32.872357Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:30.867555Z","title":"Stochasticity and Cell Fate","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.867555Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:ad7075628cda54bc143a9943e91975c690a1bbeda85213a0fa546939c456b46e","observation_id":"ef7a4a34-7302-4946-98c8-598b397e8dba","resolution":{"observed_at":"2026-08-06T11:02:30.867555Z","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":"2026-08-06T11:02:30.875687Z","title":"Stochastic processes in cell biology","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.875687Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:7702da3252c0640046094f7aa75ab7f3ea55abb8348385168de770cb38c7a57f","observation_id":"4d1b6459-a5fb-4e48-bd8e-a6a725df66cd","resolution":{"observed_at":"2026-08-06T11:02:30.875687Z","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":"2026-08-06T11:02:30.884992Z","title":"What is the total number of protein molecules per cell volume? A call to rethink some published values","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.884992Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:9a4b1d55eed13dd6dc342c968b4f28aaf2cb32bc427e24c244c2104a3f00166e","observation_id":"60b0b465-5142-4ae7-8189-f44956baa43f","resolution":{"observed_at":"2026-08-06T11:02:30.884992Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1186/1471-2164-9-102","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Protein abundance profiling of the Escherichia coli cytosol","venue":"BMC Genomics","work_id":"8d80dafc-8f6a-41f3-9b2b-00dd8e8121f1","year":2008},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.895717Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:8d886c4888639a17e8e5159f8c9ae080264daad61bc033fba398f6208a31791a","observation_id":"db3cc5d4-aff7-4cbd-aa96-7e6460e30898","resolution":{"observed_at":"2026-08-06T11:02:32.829810Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:30.903405Z","title":"Stochastic modelling of reaction–diffusion processes: algorithms for bimolecular reactions","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.903405Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:3fa63828fe17dcb10e170bbf90d90422c2c874e0542791b487755f5a96fda77e","observation_id":"35431f53-b11b-4385-875a-c8ac9687f53e","resolution":{"observed_at":"2026-08-06T11:02:30.903405Z","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":"2026-08-06T11:02:30.912055Z","title":"The stochastic nature of biochemical networks","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.912055Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:10ae76f0466531aada80ac4560ece42fb73c44ea93449c63a3a4cda3d64c0633","observation_id":"20dd897d-33b4-48d1-8d15-8039a28bd697","resolution":{"observed_at":"2026-08-06T11:02:30.912055Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-06T11:02:30.920608Z","title":"Molecular dynamics simulations: advances and applications","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.920608Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:3bf5e7e2cbdcd638b95f4d9cdd03adffb94664ab74618017245c88dc3c6c3140","observation_id":"a680212e-c9ef-48d9-b0a4-2be62ec9dc49","resolution":{"observed_at":"2026-08-06T11:02:30.920608Z","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":"2026-08-06T11:02:30.927851Z","title":"Accelerators for Classical Molecular Dynamics Simulations of Biomolecules","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.927851Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:7f0f0edf777ce8fe3bef256c60073431016140ee691ed0c731cdfd9554fe669a","observation_id":"b744bbab-2ee8-4c45-91a6-ce498dd54c90","resolution":{"observed_at":"2026-08-06T11:02:30.927851Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-06T11:02:30.938530Z","title":"Extending the limit of molecular dynamics with ab initio accuracy to 10 billion atoms","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.938530Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:8732b959d7a1419093647e984b4e4601f343fc152d17f24bce9edde056bb9c8a","observation_id":"422f570f-f17a-4d2c-953c-1fc8485ccb73","resolution":{"observed_at":"2026-08-06T11:02:30.938530Z","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":"10.1177/10943420221128233","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"#COVIDisAirborne: AI-enabled multiscale computational microscopy of delta SARS-CoV-2 in a respiratory aerosol","venue":"The International Journal of High Performance Computing Applications","work_id":"a284407e-755c-4ec6-9e6f-795d081e6010","year":2023},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.947246Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:fe59c57f4bc6ebcbe3c8f1169c37f6a3619f01dc4c76e7d02b1b3738376f9ba7","observation_id":"dfed47db-f5aa-4822-8f75-da7cafde5f42","resolution":{"observed_at":"2026-08-06T11:02:32.779939Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:30.956011Z","title":"Molecular dynamics simulation for all","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.956011Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:6043877f23a7011e9015b053f8cf9b42776d896b9e7747cb13231edc929b1e8d","observation_id":"cdeeec2a-2f96-42b0-8cb2-10928570e2cb","resolution":{"observed_at":"2026-08-06T11:02:30.956011Z","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":"2023.11064","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:02:33.567649Z","title":"Molecular dynamics simulation of an entire cell","venue":null,"work_id":"4011415b-3239-469a-9032-713c2c5760e4","year":2023},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.961470Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:060486a35def45159458a320a6b079680d630f67e088f59b28c204fad2bd5532","observation_id":"927268c8-73ad-47ab-8b0a-8da27d94b84f","resolution":{"observed_at":"2026-08-06T11:02:33.576486Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/b978-0-12-386485-7.00005-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Coarse-grained Representation of Protein Flexibility. Foundations, Suc- cesses, and Shortcomings","venue":"Advances in protein chemistry and structural biology","work_id":"237abef1-7e9f-4399-a311-3d8f72354639","year":2011},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.968528Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:59b862c874a7d384951042c2412ff07a2c769d43516a15439f1c085d57851db1","observation_id":"8c85a71a-faef-411a-a9be-863604c3c1e8","resolution":{"observed_at":"2026-08-06T11:02:32.760709Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1126/science.aad6253","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Design and synthesis of a minimal bacterial genome","venue":"Science","work_id":"956a528f-96da-4a45-9598-8e58ac2afdb0","year":2016},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.979247Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:938bc833bf55e2ae86f1669ee95f9b6e9b61a3c672179759af04f4199a5e28f8","observation_id":"d75b2304-2adb-4cb8-a65d-456ca98be695","resolution":{"observed_at":"2026-08-06T11:02:32.740045Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2023.12605","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:02:33.460849Z","title":"Multi-scale models of whole cells: progress and challenges","venue":null,"work_id":"6bc90953-0573-4ceb-b8ca-a4ef4b3b1997","year":2023},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.985885Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:14b317bda1035b1b2aa800d00050fe191ac00562df6d07fe3f2aad32d36b6fd5","observation_id":"6d2c3d58-68f0-4009-8c8a-05ea56bcc286","resolution":{"observed_at":"2026-08-06T11:02:33.478446Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:30.991305Z","title":"A general method for numerically simulating the stochastic time evolution of coupled chemical reactions","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.991305Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:5ca7b48136fc42264d8d025a33fd9a9fad60661cd5032d7117c50f2cfa4b5b13","observation_id":"53d23826-e5dc-4ecd-be7d-5a8e57e0af0c","resolution":{"observed_at":"2026-08-06T11:02:30.991305Z","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":"2026-08-06T11:02:30.998250Z","title":"Exact stochastic simulation of coupled chemical reactions","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:30.998250Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:da864c5cb6b967f0d1a95fd04275bb2c8094980e6586c04155049e21753e9146","observation_id":"fbeb43da-e577-4614-bccb-2e497d0aff0a","resolution":{"observed_at":"2026-08-06T11:02:30.998250Z","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":"10.1103/physreve.71.041103","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Simulating mesoscopic reaction-diffusion systems using the Gillespie algorithm","venue":"Physical Review E","work_id":"371237a0-c62d-46ff-a80d-374cfc664eea","year":2005},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.004999Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:9f6a9fa232478be5b4b3d9881b0730899879fbfdaaf9b60375eacaf16fbd0daa","observation_id":"c95a2308-213b-44a1-97e7-ee7f6f191d10","resolution":{"observed_at":"2026-08-06T11:02:32.681963Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.3074302","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"The multinomial simulation algo- rithm for discrete stochastic simulation of reaction-diffusion systems","venue":"The Journal of Chemical Physics","work_id":"1dd364f3-c59c-415d-b864-44b9342e0bf8","year":2009},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.011079Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:c8f384fdcce3405f6797a0d3a39e4eb16f28ff05b42a57af895788fe5a18b103","observation_id":"6efdd062-d176-47fb-93f6-ea4aaf504c51","resolution":{"observed_at":"2026-08-06T11:02:32.662103Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.018740Z","title":"The Reaction-Diffusion Master Equation as an Asymptotic Approximation of Diffusion to a Small Target","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.018740Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:84504f32424ce590557c449f08efbf7ecce54d872f4a6664704a8e627ef0b9f3","observation_id":"4043bae4-f768-4ad4-9c2b-6d17abd1b8fe","resolution":{"observed_at":"2026-08-06T11:02:31.018740Z","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":"2026-08-06T11:02:31.037399Z","title":"Reaction-diffusion master equation in the microscopic limit","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.037399Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:57210f2c6178027cd1f1d213aad4f1ecc24555a725af02b5a9eb4ca68a0ab5ad","observation_id":"177320d3-d4d9-43b0-b741-cde099be4140","resolution":{"observed_at":"2026-08-06T11:02:31.037399Z","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":"2026-08-06T11:02:31.046621Z","title":"Spatial Stochastic Intracellular Kinetics: A Review of Mod- elling Approaches","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.046621Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:ea91dc2e3011c6f0d13ad5f22013586d13f6956bb000d760c8bfd46b350b01ee","observation_id":"9792f774-4792-400e-a9d2-bcfdc065c95f","resolution":{"observed_at":"2026-08-06T11:02:31.046621Z","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":"2026-08-06T11:02:31.053371Z","title":"Versuch einer mathematischen Theorie der Koagulationskinetik kolloider Lösungen","venue":null,"work_id":null,"year":1917},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.053371Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:f7269ed4d0ab142e130df95ad9e952f236a7c79a98ec118307a31aea5da7b3c7","observation_id":"44e32b3f-cd07-4e32-a32a-e5e5409a2ded","resolution":{"observed_at":"2026-08-06T11:02:31.053371Z","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":"10.2172/918231","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":null,"work_id":"bd8ce49c-c408-44b6-adcc-42eff67c18f1","year":2003},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.060570Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:4485c9c182694ac2c8e4998b5282a87adb6a7e521d4f77ca59e55a24819bb605","observation_id":"2af90501-0721-4452-8817-b71ad697d89e","resolution":{"observed_at":"2026-08-06T11:02:32.596180Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.066990Z","title":"Miniature end-plate current rise times 100 microseconds from improved dual recordings can be modelled with passive acetylcholine diffusion form a synaptic vesicle","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.066990Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:9b2dfe46925ce0f98c2075497c30e1b1be8ab9fbc4c9139f14e3ab13f297994b","observation_id":"4d2ae40d-2ea6-4e1d-ac12-e2261a4e9871","resolution":{"observed_at":"2026-08-06T11:02:31.066990Z","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":"2026-08-06T11:02:31.074372Z","title":"Monte Carlo methods for simulating realistic synaptic microphysiology using MCell","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.074372Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:43762b0db9bd56db3f15752193f3fec6f4297e46cf708b8579cbc8b378dda0a4","observation_id":"d0306f1c-b697-4fd5-9da7-e7575572ae40","resolution":{"observed_at":"2026-08-06T11:02:31.074372Z","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":"10.1103/physrevlett.94.128103","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Simulating Biochemical Networks at the Particle Level and in Time and Space: Green’s Function Reaction Dynamics","venue":"Physical Review Letters","work_id":"2106912f-a22a-4872-8b15-e31d0a18bc67","year":2005},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.081784Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:9eafa536c18935562fab7b314f43db8fa716e60566554c2ee53aa8434af528bc","observation_id":"9cfb0524-bc05-4b48-ba68-bbaf6adbaa15","resolution":{"observed_at":"2026-08-06T11:02:32.560194Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.094204Z","title":"Green’s-function reaction dynamics: A particle- based approach for simulating biochemical networks in time and space","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.094204Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:31ac83ee9f01658b6075302c3ed561e6a3684196245dbc55ff52c2446ad52888","observation_id":"1b8e40e6-f40c-46c5-8f17-713b1515b8c9","resolution":{"observed_at":"2026-08-06T11:02:31.094204Z","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":"2026-08-06T11:02:31.106732Z","title":"Spatio-temporal correlations can drastically change the response of a MAPK pathway","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.106732Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:6973669c227255979570a9e423349aca5775e15eae8c9544d9c66f9996cc41cd","observation_id":"cceac0b5-c330-4c78-bab6-382764280ea0","resolution":{"observed_at":"2026-08-06T11:02:31.106732Z","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":"10.1063/1.5064867","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"eGFRD in all dimensions","venue":"The Journal of Chemical Physics","work_id":"d44e1e85-9735-4cb9-8375-fe9aef1881e1","year":2019},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.115020Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:f097974fc52b8ef0ada143791f04ffd2e40c5ea54744bb714c78af0522829493","observation_id":"a50cf721-2c97-4fcc-9bb5-e95f28cf619b","resolution":{"observed_at":"2026-08-06T11:02:32.514620Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.122109Z","title":"Stochastic simulation of chemical reactions with spatial resolution and single molecule detail","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.122109Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:07c7392f6b775fc8683811fe3813e90047beaab18ffa64978a4d78c97004a9cf","observation_id":"be999a1a-4031-46cc-9a92-aef00f45f7d7","resolution":{"observed_at":"2026-08-06T11:02:31.122109Z","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":"2026-08-06T11:02:31.128744Z","title":"Simulation tools for particle-based reaction-diffusion dynamics in continuous space","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.128744Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:240136893c1464e7ca7b9b303eaf3b30d6b75c9da71d1a84fe3c98bd4fcb15a2","observation_id":"b221fbb1-b30d-440c-b49c-280b8ad2c98c","resolution":{"observed_at":"2026-08-06T11:02:31.128744Z","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":"2026-08-06T11:02:31.136356Z","title":"Diffusion-controlled reaction rates","venue":null,"work_id":null,"year":1949},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.136356Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:a57dbc7c170713fb6ab52c89e95ec4d56d094196cd2e114e68bfd15c1e56687c","observation_id":"2d625480-4add-4cf8-ac70-d1e7e5f8fd2e","resolution":{"observed_at":"2026-08-06T11:02:31.136356Z","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":"10.1088/0305-4470/9/9/009","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Stochastic theory of diffusion-controlled reaction","venue":"Journal of Physics A Mathematical and General","work_id":"8e876594-d839-42d6-a54a-a5581b62c965","year":1976},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.143568Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:1d90a5410af0dd3972531087bfbb20ee217b447c7b811c69e3d2ed1de459780c","observation_id":"22c09cd6-32ab-4ddc-9dc1-2b83f97f7e18","resolution":{"observed_at":"2026-08-06T11:02:32.495128Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.151388Z","title":"Molecular biology of the cell","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.151388Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:62203c8e4426f9c06e31d643db57e48d96ee81f9ab15c3842468607e97ae9cd0","observation_id":"04d4d709-c6b3-44b8-a25c-b836977b7412","resolution":{"observed_at":"2026-08-06T11:02:31.151388Z","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":"2026-08-06T11:02:31.157799Z","title":"Methods of model reduc- tion for large-scale biological systems: a survey of current methods and trends","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.157799Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:10226f267389500e1fbeeb7edd0cf29be85360628be0754143d4299036bf643d","observation_id":"d01605fb-bdaf-482b-a97d-25f9387dd637","resolution":{"observed_at":"2026-08-06T11:02:31.157799Z","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":"10.1073/pnas.0604085103","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Minimal model of spiky oscillations in NF-κB signaling","venue":"Proceedings of the National Academy of Sciences","work_id":"b4a97ac0-31b2-44df-ab67-244a542e4d0e","year":2006},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.165935Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:b57e7e0c6da96f8653e2400cb6806580b1719447a27c90f7910d22c9aa78d424","observation_id":"5b77e8f4-e952-4917-b32f-cff54f1c193c","resolution":{"observed_at":"2026-08-06T11:02:32.469409Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.gde.2010.08.008","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Modeling oscillatory control in NF- κB, p53 and Wnt signaling","venue":"Current Opinion in Genetics & Development","work_id":"ace0ebeb-2154-4a47-bc80-df318dad6558","year":2010},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.171228Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:b4eaa51773959f9372ecaefffba8880fea31ddf7adfc3b04986e85f2db40c739","observation_id":"9ce18e61-e866-4773-9b84-9d77d62aae57","resolution":{"observed_at":"2026-08-06T11:02:32.443031Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1371/journal.pone.0178457","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Minimal oscillating subnetwork in the Huang-Ferrell model of the MAPK cascade","venue":"PLoS ONE","work_id":"047c89b8-d8fd-4701-bf6e-c4bfeee618ee","year":2017},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.177498Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:5fbad23b3f0153b00bce05731682f326958b2e2614ff77fb908f8356d7545c7d","observation_id":"06f32727-675f-4196-9c5f-57383c9ad5ad","resolution":{"observed_at":"2026-08-06T11:02:32.421636Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1371/journal.pcbi.1001004","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A Minimal Model of Metabolism-Based Chemotaxis","venue":"PLoS Computational Biology","work_id":"c7a2ccbc-f03f-490b-95b8-666219338018","year":2010},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.184106Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:d2244aead44f0e7af05ccd1a19a04d7f3a8211b08febdc4ba9c368ac943d2f34","observation_id":"39f110a3-e86c-45e2-b3fd-7918958ddd9b","resolution":{"observed_at":"2026-08-06T11:02:32.400630Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.190141Z","title":"The Moderately Efficient Enzyme: Evolutionary and Physicochemical Trends Shaping Enzyme Parameters","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.190141Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:d7fa7f9c85b033abd7af49e36614eea39e6cb00b7b0a4a7871b8229a84e7dc67","observation_id":"d9356dbc-3593-4361-aed1-17753e7314d1","resolution":{"observed_at":"2026-08-06T11:02:31.190141Z","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":"2026-08-06T11:02:31.198505Z","title":"Machine learning applied to enzyme turnover numbers reveals protein structural correlates and improves metabolic models","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.198505Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:07dc2d08641403616357b7db8a31bac7d2c45024c4bebdb3d97818c8f62cb292","observation_id":"cb47d672-7541-4191-8295-2c4c4dabad50","resolution":{"observed_at":"2026-08-06T11:02:31.198505Z","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":"2026-08-06T11:02:31.206431Z","title":"Die kinetik der invertinwirkung","venue":null,"work_id":null,"year":1913},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.206431Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:a91a9890f8fb0bc1f05c2d2d8f34832c295b3358aaf946ae95f5cb534a899383","observation_id":"46177275-ad0b-4f91-bdf2-d815a819cefc","resolution":{"observed_at":"2026-08-06T11:02:31.206431Z","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":"2026-08-06T11:02:31.212823Z","title":"Lois générales de l’action des diastases","venue":null,"work_id":null,"year":1903},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.212823Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:8434202c4111e1038e008085660254bcaa8148fc30d3d0c75fd0f974f48137ce","observation_id":"eef23922-6b12-4923-b471-71c2039e2162","resolution":{"observed_at":"2026-08-06T11:02:31.212823Z","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":"10.1016/b978-0-408-10617-7.50006-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Chapter 1 - Basic principles of chemical kinetics","venue":"Elsevier eBooks","work_id":"3eb6858d-948b-4886-9a58-8400f285ed91","year":1979},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.219546Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:9ce77c4b7099bd5cc9a64eb940021728fa71005798933e88eeb38cad5493ef6f","observation_id":"8d0ac5a9-7303-444f-bd71-10bbbff93fca","resolution":{"observed_at":"2026-08-06T11:02:32.373368Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1042/bj0190338","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A Note on the Kinetics of Enzyme Action","venue":"Biochemical Journal","work_id":"1595326a-64da-40fc-bfc9-8702bda8033d","year":1925},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.228458Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:96fb742c86673cb2ef0d43f77d95fb9a553d450eed57635c5e8a0daf28e37592","observation_id":"f9ddc818-f576-4519-bdc1-650141e40ac0","resolution":{"observed_at":"2026-08-06T11:02:32.351438Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.236683Z","title":"The Quasi-Steady-State Assumption: A Case Study in Per- turbation","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.236683Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:799734447f453c52375e5b4a56fc72fd9808d726e04861eb0e98a8e4ef3b851b","observation_id":"edad4a89-c6db-4397-87ee-5852b2b614a3","resolution":{"observed_at":"2026-08-06T11:02:31.236683Z","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":"10.1016/0025-5564(67)90029-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"On the mathematical status of the pseudo-steady state hypothesis of biochemical kinetics","venue":"Mathematical Biosciences","work_id":"4a21e022-966e-44c6-b061-42b31c8d568f","year":1967},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.246370Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:851cd4d65b816063679a05971c98a10f1637d64d9b2aea902601d964df729dd0","observation_id":"c817c03e-8343-4868-954a-17e7190cd09e","resolution":{"observed_at":"2026-08-06T11:02:32.331368Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/5.0216285","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Enzyme kinetics simulation at the scale of individual parti- cles","venue":"The Journal of Chemical Physics","work_id":"b6a4ed0e-624c-4fde-b82c-7959d98aa790","year":2024},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.252117Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:8266936c460ee175ef46729259cbb49ddd193c137561a37f770e6a58447ed15b","observation_id":"be94a769-444e-4dc6-9c73-01b807cac4e5","resolution":{"observed_at":"2026-08-06T11:02:32.306877Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreve.93.052135","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Breakdown of the reaction-diffusion master equation with nonelementary rates","venue":"Physical review. E","work_id":"c65be10e-5f4b-4753-ad57-4d48daf8cd2b","year":2016},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.258592Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:58c7fb6a8225527c0097ad3b49b8aaf606047c6d3d39ab45e9e5fcf430ca5a0e","observation_id":"7b0fafeb-9fed-49c1-92b7-6b7494383216","resolution":{"observed_at":"2026-08-06T11:02:32.286974Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2015.0054","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:02:33.349058Z","title":"Accuracy of the Michaelis–Menten ap- proximation when analysing effects of molecular noise","venue":null,"work_id":"119851ad-12c1-4ecc-a1b2-0f8a043861e8","year":2015},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.265606Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:45b197047ad6cf467c698698348552937b56e46086da6cfbe4541810c18ec9a7","observation_id":"80763739-a4e2-41f6-8736-5a490f45a7ce","resolution":{"observed_at":"2026-08-06T11:02:33.359500Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.272779Z","title":"A model for circadian oscillations in theDrosophila period protein (PER)","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.272779Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:b213b073f58d7830da96a3a7229526c7611a32630ab9f70c40cc32e438e942a1","observation_id":"9a14abee-6b35-4796-b8e2-fbb342e4bfc6","resolution":{"observed_at":"2026-08-06T11:02:31.272779Z","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":"2026-08-06T11:02:31.282809Z","title":"Smoluchowski reaction kinetics for reactions of any order","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.282809Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:97a53cfc634e6f47c6b6856452dda33fea9c9da1cfabe3f8452ca36bcb459319","observation_id":"d8007252-7a87-4e30-8d17-e2b06eaf2b76","resolution":{"observed_at":"2026-08-06T11:02:31.282809Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.03215","last_updated":"2025-04-04T07:03:21Z","snapshot_observed_at":"2026-08-16T12:44:03.140702Z","submitted_at":"2025-04-04T07:03:21Z","title":"Accurate stochastic simulation of nonlinear reactions between closest particles","version":1},"cited_work":{"arxiv_id":"2504.03215","doi":"10.48550/arxiv.2504.03215","metadata_source":"pith","pith_arxiv_id":"2504.03215","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Accurate stochastic simulation of nonlinear reactions between closest particles","venue":"math.NA","work_id":"ddb70222-895c-460d-b76c-79d7f8e0bb84","year":2025},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.289832Z"},"links":{"cited_paper":"/paper/2504.03215","citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:4b5f9a5231eeff9241c9834b4b4265871f69e44768aaea59f91ee4e119e9f52f","observation_id":"5b9a8b1a-370e-4eb6-87b6-4b0d0e2a12b8","resolution":{"observed_at":"2026-08-06T11:02:32.265003Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:34.021486Z","title":"Stochastic simulation of chemical kinetics","venue":null,"work_id":"46fb84a3-09db-4581-8310-fd7ea58012b8","year":2007},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.302028Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:c50c18ace03691d3e4fd13b903f24f0de1fdd30e1de3075c5cf5a201e3ba52f8","observation_id":"02485412-789d-4216-bd33-a89e8c0a1c24","resolution":{"observed_at":"2026-08-06T11:02:34.029217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.313068Z","title":"General Principles in Random Variate Generation","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.313068Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:7763d945e2b6bcb15a08aa5d1fa61417bc6a615422b686e6ee157441f2cd7891","observation_id":"194cba88-9ff9-48f7-9401-1f74f4c13b8c","resolution":{"observed_at":"2026-08-06T11:02:31.313068Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1023/a:1021286607354","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Deterministic Versus Stochastic Models for Circadian Rhythms","venue":"Journal of Biological Physics","work_id":"f82e933c-21af-4ab8-9c57-35b8dbab8ee1","year":2002},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.319002Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:441ad803f7375702b526ec25355bb5cfa428300ad133e831f36433592d803d2a","observation_id":"611950b6-68bf-46e7-94cf-400631921b67","resolution":{"observed_at":"2026-08-06T11:02:32.216331Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0704.1908","last_updated":"2007-11-19T03:47:24Z","snapshot_observed_at":"2026-08-15T10:42:42.240934Z","submitted_at":"2007-04-15T17:50:38Z","title":"A practical guide to stochastic simulations of reaction-diffusion processes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0704.1908","snapshot_observed_at":"2026-08-06T11:02:31.327451Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.327451Z"},"links":{"cited_paper":"/paper/0704.1908","citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:504c54f64dadb788b263473a6bf7467d94c54623f99b7ab68029aa62aab3dcd2","observation_id":"f61cc80e-0939-4a27-9848-24be9edc85bf","resolution":{"observed_at":"2026-08-06T11:02:31.327451Z","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":"10.1016/s0376-6357(03)00133-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Circadian rhythms of locomotor activity in Drosophila","venue":"Behavioural Processes","work_id":"07660de5-e460-4138-8a91-45cf27789409","year":2003},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.333981Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:c665ae5bc191ea548a1860b7c07d26d036acb3a410fe487d5d45e242a1bca84c","observation_id":"6a4439b0-35ae-4be0-9f61-06b3e3faef85","resolution":{"observed_at":"2026-08-06T11:02:32.169123Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1146/annurev-physiol-021909-135815","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"CircadianOrganizationofBehaviorandPhysiologyinDrosophila","venue":"Annual Review of Physiology","work_id":"ab0ec374-159c-47a4-abe8-f2f3f2f28931","year":2010},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.342665Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:ba648c5720a6a0fa17a8ad0d9d6a3b9a9cd702b5aba0285bea6e2a8f8cbf9769","observation_id":"dbf08a69-b457-4fdf-be37-5f88e6b6d3de","resolution":{"observed_at":"2026-08-06T11:02:32.143145Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.febslet.2011.02.028","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Setting the clock – by nature: Circadian rhythm in the fruitfly Drosophila melanogaster","venue":"FEBS Letters","work_id":"b3b4d96d-88cd-4a91-a74c-a7963269235f","year":2011},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.350684Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:43fcb4fbe194d44c687964a2198d54de67a42e2d9ab6c70d30540c1de8db0ece","observation_id":"d10c1adb-cda1-46df-bb75-a328f295df51","resolution":{"observed_at":"2026-08-06T11:02:32.110121Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:31.360580Z","title":"Neuronal wiring diagram of an adult brain","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.360580Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:757ca4cdc347661aabc8c0454ba8ba82e402fa3a7a68e85aa46c3c289c8fca78","observation_id":"8b7b5dfb-a32a-4260-9163-d37f9a20662a","resolution":{"observed_at":"2026-08-06T11:02:31.360580Z","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":"2026-08-06T11:02:31.365963Z","title":"Whole-brain annotation and multi-connectome cell typing of Drosophila","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.365963Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:055e1057aa46c17db213d5aea5b0de05dbead049724275d18a4dcf99081d51d3","observation_id":"1c189f3b-d72e-4643-a46e-072bf89c9a14","resolution":{"observed_at":"2026-08-06T11:02:31.365963Z","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":"2026-08-06T11:02:33.987939Z","title":"RNA-seq analysis of Drosophila clock and non-clock neurons reveals neuron-specific cycling and novel candidate neuropeptides","venue":null,"work_id":"2650fdda-77f2-4e25-8e5a-8c949126c85e","year":2017},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.371477Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:6edd61a668e1788ad7811103661525125d8fe322492beb95c257341809575ab2","observation_id":"3684fd77-44e3-46e8-b20c-6b2ae9e7b73b","resolution":{"observed_at":"2026-08-06T11:02:33.999470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:33.946494Z","title":"The discovery of circadian clock genes and the use of similar strategies to discover unknown genes underlying complex behaviors and brain disorders","venue":null,"work_id":"3b1c65fd-57e5-4346-b713-f9f0b3d540d0","year":2001},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.393817Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:823e8c3762b7abb2cd4797001c7d5b983c896d72d82812a7152d2ac08482cf92","observation_id":"25a60ad8-8f69-4c59-ad3f-a513d2882d51","resolution":{"observed_at":"2026-08-06T11:02:33.958187Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1371/journal.pgen.1006613","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"PLoS Genetics","work_id":"74ccf39c-e41e-41ec-bad0-f5733edb6545","year":null},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.382348Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:c49b039f08cdc8ccfcede29e48b9d58ffe2c3ffc642130744346055267c4853f","observation_id":"e4aecbff-d3cb-426b-b0a6-ed2c4eee0468","resolution":{"observed_at":"2026-08-06T11:02:32.052553Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.cub.2008.12.042","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Light-Dependent Interactions between the Drosophila Circadian Clock Factors Cryptochrome, Jetlag, and Timeless","venue":"Current Biology","work_id":"610c9834-d84b-4323-a71c-78bfc3aba731","year":2009},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.409657Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:91857e3885a8974cd5730c2044ac01d6e596072e64361d8705709d6057db2613","observation_id":"2f326259-c6be-4dc8-a19f-49a115007bce","resolution":{"observed_at":"2026-08-06T11:02:31.995318Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0092-8674(00)81046-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Regulation of the Drosophila Protein Timeless Suggests a Mechanism for Resetting the Circadian Clock by Light","venue":"Cell","work_id":"5a749e77-cfd2-41f8-815f-b7ca8751584c","year":1996},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.402022Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:03214143b473754dd617168a4a668ad23126bfc209017a42ba8c15a66ddf3b67","observation_id":"bf8e06c7-7b89-4bd6-affd-6090dab3ca2b","resolution":{"observed_at":"2026-08-06T11:02:32.023748Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0092-8674(00)81225-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:02:31.936492Z","title":"TheDrosophila Clock Genedouble-time Encodes a Protein Closely Related to Human Casein Kinase Iϵ","venue":null,"work_id":"d2dfed05-2472-42ce-9cec-ef324673c1db","year":1998},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.426965Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:ad643c07b180b5d009ba38ab6d751d049346597895441333e0736ca812d066c0","observation_id":"1ab93eb4-c28e-4715-8533-1d727f339aad","resolution":{"observed_at":"2026-08-06T11:02:31.945746Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0092-8674(00)81224-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"double-time Is a Novel Drosophila Clock Gene that Regulates PERIOD Protein Accumulation","venue":"Cell","work_id":"4acb4e6e-25ec-432a-b5e4-c168b81f445e","year":1998},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.417316Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:173ea103773285c530c40e4345dd676f6d01219acd90ece324d65714c02f60ab","observation_id":"b5f5a2a6-73b4-41ab-9c88-efeff9555e9e","resolution":{"observed_at":"2026-08-06T11:02:31.966710Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/nature01235","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A role for casein kinase 2α in the Drosophila circadian clock","venue":"Nature","work_id":"7cc97466-26c2-4e77-8364-73835679832e","year":2002},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.442412Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:d330890c43948b090e4e2bbb4236a13446c249d03f5ed1506e4ff6adedd1f47c","observation_id":"231c2a37-6930-4922-a66c-e8c8ef7cf545","resolution":{"observed_at":"2026-08-06T11:02:31.888249Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0092-8674(04)00128-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Posttranslational Regulation of Drosophila PERIOD Protein by Protein Phosphatase 2A","venue":"Cell","work_id":"3458b1dd-abe0-4771-9f36-34bca1aa6ca7","year":2004},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.433756Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:e01df4972dddd9082675a517d2b40c3c5978dfac1a955e5aa6ca60e054cf8c35","observation_id":"9c229f39-75a8-480c-8514-90df417689fb","resolution":{"observed_at":"2026-08-06T11:02:31.920998Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1523/jneurosci.2159-05.2005","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"In Vivo Circadian Function of Casein Ki- nase 2 Phosphorylation Sites in Drosophila PERIOD","venue":"Journal of Neuroscience","work_id":"86598ee3-5294-4656-b8a1-12df4206050e","year":2005},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.453821Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:58f17cc5ec4ec9eef4dd31d4980e8981d4d4d1a256ed4059f75304052c25eca9","observation_id":"a93a1c4a-6e7d-4fdd-96ca-5347c5afd3ca","resolution":{"observed_at":"2026-08-06T11:02:31.830051Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/nn1007","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A role for CK2 in the Drosophila circadian oscillator","venue":"Nature Neuroscience","work_id":"98cd626d-b174-484d-a92b-eda8dfe68c28","year":2003},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.447963Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:3d945a9fd0360f614858460a51a871a315282c31f6b30d3fb3b24cc2b941f560","observation_id":"d03a1eee-e7ca-4b5c-ab42-ac06b6681ed1","resolution":{"observed_at":"2026-08-06T11:02:31.859540Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1177/074873098128999934","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A Model for Circadian Rhythms in Drosophila Incorporating the Formation of a Complex between the PER and TIM Proteins","venue":"Journal of Biological Rhythms","work_id":"4cbbb029-90c9-40e2-8906-c5dd95254ed7","year":1998},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.467319Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:afeee9d699e58587c6270db7ecd33a027393bf5afadab988ecb3300c851abf84","observation_id":"921ef8c0-d595-4af6-8b42-49e4a935a5a7","resolution":{"observed_at":"2026-08-06T11:02:31.797445Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T11:02:33.921739Z","title":"A Hierarchical Phosphorylation Cascade That Regulates the Timing of PERIOD Nuclear Entry Reveals Novel Roles for Proline-Directed Kinases and GSK-3β/SGG in Circadian Clocks","venue":null,"work_id":"11b9be23-ca54-49bd-b3fd-c0742efc5b3c","year":2010},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.460827Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:9909a1b17d34bb7fdb90dac6dcdbf50d69106cc4d63bd6b89f9a2c5f4683227d","observation_id":"893b90c6-033a-4f7e-89ab-9d97bab136b5","resolution":{"observed_at":"2026-08-06T11:02:33.929660Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.87.4.1461","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Minimal model for signal-induced Ca2+ oscillations and for their frequency encoding through protein phosphorylation","venue":"Proceedings of the National Academy of Sciences","work_id":"226bc2f1-cf2e-4cb7-a15e-32e98d1164a2","year":1990},"citing_paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics","version":1},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-08-06T11:02:31.480205Z"},"links":{"citing_paper":"/paper/2508.10909"},"observation_digest":"sha256:b50b2a9de1bd64fac90bec11df724fefdb193f64d7d36276e09252229aded643","observation_id":"57f724c2-a270-4272-a0bf-46a8d71dd943","resolution":{"observed_at":"2026-08-06T11:02:31.749716Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.10909","last_updated":"2025-07-31T08:03:32Z","latest_version":1,"primary_category":"physics.bio-ph","snapshot_observed_at":"2026-08-06T13:45:39.404361Z","submitted_at":"2025-07-31T08:03:32Z","title":"Particle-based simulation of non-elementary bimolecular kinetics"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":8,"metadata_mismatch":3,"parse_uncertain":0,"unresolved":41,"verified_exact":45,"verified_fuzzy":3},"total_outbound_references":110},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 100 of 110 outbound references and 0 inbound Pith citation observations for arXiv:2508.10909."}