{"as_of":"2026-08-19T16:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:99532b3a81d62d414b6a000e4907a351d4c32de95a48ac24f896079f6eb9ef1c","coverage":[{"denominator":50,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":50,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T14:21:19.539866Z","state":"measured"},{"denominator":50,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":50,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2607.24468/citation-record","integrity":"/paper/2607.24468/integrity","json":"/paper/2607.24468/citation-record.json","paper":"/paper/2607.24468"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T14:21:16.883905Z","title":"Allegretti, I","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:16.883905Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:57387e48c3d878319f6783c8932cef7f17d0a3d3301a8412f0d8ce82ae769bb6","observation_id":"904c4043-6180-469b-a087-700e8b29b56f","resolution":{"observed_at":"2026-07-31T14:21:16.883905Z","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":"10.1007/bf00281291","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Archive for Rational Mechanics and Analysis","work_id":"b9202bd5-c465-4368-8028-433297244b62","year":1967},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:16.979382Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:8a2a3007d94cb9700f90e9221d198009bcb01ed0a2588e92568da29daa5691f4","observation_id":"4a1a3ba4-4443-4329-b2b8-7a5991f79a33","resolution":{"observed_at":"2026-07-31T14:26:06.160917Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00285-004-0313-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Berestycki, F","venue":"Journal of Mathematical Biology","work_id":"8d6f2896-df33-424f-ae5a-e1ea22474eb0","year":2005},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.007929Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:0d25afc35173bef17a06d02d5d15752863e4c8912ef3ebadb86b04fee16843ed","observation_id":"1eedc733-88fb-440b-a687-3b05f0d103e5","resolution":{"observed_at":"2026-07-31T14:26:06.027862Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0362-546x(86)90011-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Brezis and L","venue":"Nonlinear Analysis","work_id":"f25b0a2b-b604-45bd-b3cf-3e11a9315224","year":1986},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.061934Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:b8a449bc3893f200afa8196c7bdb43307a2180bdc17dbea154f0c5b9477dae54","observation_id":"c00acda5-54d3-46eb-b152-5d7b52b9b0ca","resolution":{"observed_at":"2026-07-31T14:26:05.916363Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-10T21:08:11.971976+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-10T21:08:11.971976+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.14658/pupj-drna-2022-2-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"CINECA IRIS Institutional Research Information System (University of Basilicata)","work_id":"e06b9021-f661-474f-9663-2f36a66ceb52","year":2022},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.104385Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:e2f069036e32a50af980310bc847477eea196d628eef57d2e47df1830faf2a94","observation_id":"95e5e1b5-3b6f-46d8-aaad-d625d68410ad","resolution":{"observed_at":"2026-07-31T14:26:05.761070Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.matcom.2022.07.002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematics and Computers in Simulation","work_id":"6f4c055c-fa78-44b4-802a-b0a8da7dfb39","year":2023},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.140324Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:62a4d22bb6435a1899343a4d7c7f33f4e59be5ecad094910dc6415a471ea2a61","observation_id":"7978b9ad-cd1c-4cdf-b590-15f02b37c774","resolution":{"observed_at":"2026-07-31T14:26:05.540577Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T14:21:17.166658Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.166658Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:bf63643f2c48839e933664a8d9b059e6ff0770c38ce3bf7780a0c73caecce9cf","observation_id":"2e6a97fe-ae85-43d8-ab0d-04ef17a74e08","resolution":{"observed_at":"2026-07-31T14:21:17.166658Z","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/j.matcom.2025.02.014","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematics and Computers in Simulation","work_id":"1dfb0b84-d0d6-4e7c-abcd-9a19c2e2f98e","year":2025},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.230089Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:ad8524e18fe946a4c5f24847cec7b50fdde00d76c6beb4668387cf983dc74b9b","observation_id":"3001bd8b-4b81-4b9f-9df3-160705d64aca","resolution":{"observed_at":"2026-07-31T14:26:05.384903Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T14:21:17.286699Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.286699Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:0b280810387a8b604c2c341b13008ba5386f88fab924e899eef1286d271a1082","observation_id":"f7348008-3e0a-4ce9-aef5-2bd54eb0a5cd","resolution":{"observed_at":"2026-07-31T14:21:17.286699Z","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":"10.1007/978-3-540-78362-6_3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Lecture notes in mathematics","work_id":"460bcc01-c576-4e6f-bccb-2bc035754757","year":1940},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.374990Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:bbfcf4ba98f620892b8bff26acd1a24eb1536c6fecaa589f51b2172f1564d2d5","observation_id":"70e01770-9bf1-4e24-a117-ca214911b240","resolution":{"observed_at":"2026-07-31T14:26:04.977061Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00285-015-0879-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Mathematical Biology","work_id":"dad8bc0a-d5e7-440e-9559-037c789b95ed","year":2016},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.445476Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:89e382ca223c841bc881ad2ad722fbdff956a35d86f0c635575d141d25b6378a","observation_id":"4dcdad7e-0eaa-4d73-88cd-e88386f09ea4","resolution":{"observed_at":"2026-07-31T14:26:04.823836Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.nonrwa.2009.01.015","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Nonlinear Analysis Real World Applications","work_id":"880ae6fc-9829-4599-a7ea-b9e25e1dc4b1","year":2010},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.490838Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:a4392ca4a9016147c6ce667414f758c97d7f84dd9746c6984170ec3346902f3c","observation_id":"993ea056-6e4e-4ce2-a1f2-31b906054d1b","resolution":{"observed_at":"2026-07-31T14:26:04.686799Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T14:21:17.553309Z","title":"Ferreri, G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.553309Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:8bb9c9b2e7505f1a23fd0ac9c3f378ba8054c3c7142ed3c2a36621754ffe7a90","observation_id":"4df77bd7-db14-4f6b-967f-64ee4ec8bf3f","resolution":{"observed_at":"2026-07-31T14:21:17.553309Z","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":"2026-07-31T14:21:17.591212Z","title":"Ferreri, G","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.591212Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:b9350a0048541623514475926a4107b42c250da372082f76cc21b0ad5be378d6","observation_id":"9452a410-a7b8-4871-b3dc-2f8054e18991","resolution":{"observed_at":"2026-07-31T14:21:17.591212Z","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":"2026-07-31T14:21:17.621652Z","title":"Ferreri, D","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.621652Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:fdac9f3b4d68f21dc0da41a4267eeab3a7f00e7ba72370c7f3011c280c67d9dd","observation_id":"39900681-93db-474a-9401-e5549f78a618","resolution":{"observed_at":"2026-07-31T14:21:17.621652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.00694","last_updated":"2026-05-01T14:31:47Z","snapshot_observed_at":"2026-07-06T23:14:06.327027Z","submitted_at":"2026-05-01T14:31:47Z","title":"Unstable free boundary problems in optimal control theory: existence and regularity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.00694","snapshot_observed_at":"2026-07-31T14:21:17.662295Z","title":"Ferreri, I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.662295Z"},"links":{"cited_paper":"/paper/2605.00694","citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:34ed5e408834df60c0f1ce982e8fec144513fda9de9b5bdbbab17ceb301f7f2c","observation_id":"97c36153-03f3-49c3-8ec8-0694bd9f6ee8","resolution":{"observed_at":"2026-07-31T14:21:17.662295Z","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":"2026-07-31T14:21:17.698791Z","title":"Ferreri, D","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.698791Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:c4b69bab05a3cf8afc679434549867371887be44c8371beaba764ab0a68770cf","observation_id":"f8c07333-e4a9-40ad-b521-c5665fb8710b","resolution":{"observed_at":"2026-07-31T14:21:17.698791Z","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":"10.1137/s0036139998338509","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"SIAM Journal on Applied Mathematics","work_id":"540912e8-3dd4-429c-8297-60b72d4b29fc","year":2000},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.736538Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:e7fb34a02a5857349f12de36b6a25e76fbcf05b45ae40043eea193c3be2c00fc","observation_id":"0a91996d-95d8-4c36-a4aa-74406e72977c","resolution":{"observed_at":"2026-07-31T14:26:04.513032Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T14:21:17.799041Z","title":"Gerlee, The model muddle: in search of tumor growth la ws, Cancer Res","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.799041Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:ab7ef347b9f20fb5239c378680c62ba8aec4d671441fc00a98ac268fc5f87803","observation_id":"d76870fc-3d3a-48b2-942d-e79686f1e123","resolution":{"observed_at":"2026-07-31T14:21:17.799041Z","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":"2026-07-31T14:21:17.885299Z","title":"Gompertz, On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies, Philos","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.885299Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:bf688e8d3bc4d46c07c4013a32f96f9e3de721cf7283ec86bf72712092c6d887","observation_id":"a33f9c2b-391f-49b4-a4bd-3df4b63ce483","resolution":{"observed_at":"2026-07-31T14:21:17.885299Z","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":"10.1007/s00285-020-01507-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Mathematical Biology","work_id":"3ad2e474-0e47-4cd4-b690-c79c2ad275f5","year":2020},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.981477Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:08990e542408c379ffbb34d4172a65633340309282f65ef9f8f0414804a4bc04","observation_id":"b5224f23-d4de-48d9-9fa8-0ef22b36371b","resolution":{"observed_at":"2026-07-31T14:26:04.179890Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/proc/15633","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Heo and Y","venue":"Proceedings of the American Mathematical Society","work_id":"970c02c6-599d-4b13-8893-dc50c1f57591","year":2021},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.038534Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:34da64fc60dba9b850371bbc8dcdb1dae0668575586fd6e3cca91c41a8c8587e","observation_id":"a444a20e-d9ab-4c9e-ba74-11ae8db7584b","resolution":{"observed_at":"2026-07-31T14:26:04.017721Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T14:21:18.074824Z","title":"Henrot and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.074824Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:a29b8d179b6e11a3206dbaf6fb911ecff01d0a068f7391296aabcb79df705fc2","observation_id":"d8456665-9bbd-4df2-b7df-5a8a3df29bb2","resolution":{"observed_at":"2026-07-31T14:21:18.074824Z","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":"10.1007/s00245-011-9153-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Hintermüller, C.-Y","venue":"Applied Mathematics & Optimization","work_id":"b68f7daa-6c0e-480f-926a-d2e4f9747067","year":2012},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.115230Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:218b2c3f8643e167c8bfe2f5d74119f672c56cc1ed537e482832cd6ec0195b66","observation_id":"54f5abc9-9f98-4e0b-8eba-b06721d25bc5","resolution":{"observed_at":"2026-07-31T14:26:03.827269Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00285-022-01817-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Kao and S","venue":"Journal of Mathematical Biology","work_id":"3e2734bd-ba57-453b-9a9e-be8342fa56ac","year":2022},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.159552Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:df0e6fdc22af5a8c85b90095e7fd75e6a1690113c40ae7705cfd49ee837f785f","observation_id":"747ea1a5-62a6-4510-8d9f-b4bc3fa3dff7","resolution":{"observed_at":"2026-07-31T14:26:03.673511Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bfb0075060","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Kawohl, Rearrangements and Convexity of Level Sets i n PDE, Lecture Notes in Mathematics , vol","venue":"Lecture notes in mathematics","work_id":"22d93f1c-ad56-4f6d-b647-502e879c66e1","year":1985},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.190891Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:079380e8c4d5d633729462ae011566af9fd892d02b8e363a8b1536ec825b6cb3","observation_id":"5f977674-a48e-4720-ae27-f6db5090155a","resolution":{"observed_at":"2026-07-31T14:26:03.502306Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/bjc.1964.55","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"British Journal of Cancer","work_id":"0f5e78a4-b03c-4b9b-b90a-6e44e09bb905","year":1964},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.229715Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:ac2ac0c3590d6f415c4acc427488bfdc5c71b2e90361b0d97091f5b8f2b8bf2c","observation_id":"24403957-9572-46d9-b518-9adbd32f54e4","resolution":{"observed_at":"2026-07-31T14:26:03.337222Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00526-016-1084-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions","venue":"Calculus of Variations and Partial Differential Equations","work_id":"56cc7ddb-86d7-42b8-b794-84e9aa96035d","year":2016},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.302524Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:57e29b3a2e7ed20ed90e9f79005d96c15de386c33c64d7099c1aef6b00780f88","observation_id":"a3c57616-38a8-49d1-828d-0b997167da20","resolution":{"observed_at":"2026-07-31T14:26:03.149576Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1201/9781420011418","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lenhart and J","venue":null,"work_id":"20f3422c-7443-4960-bc0d-663be2c6d946","year":2007},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.345176Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:2331f5fb285d968aa1d7ba8c29a57209e80485659b021ced7ea39c60c7b3b25f","observation_id":"798f0294-08d9-4260-b5e8-6d95e76ba349","resolution":{"observed_at":"2026-07-31T14:26:03.013801Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11401-007-0312-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lou, On singular sets of local solutions to p-Laplace equations, Chin","venue":"Chinese Annals of Mathematics Series B","work_id":"7f1d0d73-2a80-4a29-9275-5067b172864b","year":2008},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.389137Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:ed5dc74c679cf1f55d41945a76469ee8c2f9181f733f03321dbf3526032db4a1","observation_id":"fa805357-f6bb-4a2c-abf1-10d6784a990c","resolution":{"observed_at":"2026-07-31T14:26:02.817347Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jde.2005.05.010","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lou, On the effects of migration and spatial heterogen eity on single and multiple species, J","venue":"Journal of Differential Equations","work_id":"00ee9a09-477b-455f-aaa2-1abed93bef4c","year":2006},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.417996Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:3904bc3ddb0c9f889d085ce2577493aa40e6eb99e14989d6e5f244d3716f3495","observation_id":"f7a20750-7d82-4aae-b460-51bc7bec7fc5","resolution":{"observed_at":"2026-07-31T14:26:02.566582Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf03167595","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Minimization of the principal eigen value for an elliptic boundary value problem with indefinite weight, and applications to population dyna mics","venue":"Japan Journal of Industrial and Applied Mathematics","work_id":"4a9525ce-16ee-4ee0-ac37-889249828119","year":2006},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.462880Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:1782514194509d15864062ba2ccd8ad7a1668449b7d4a8fba1c7df22bed6490e","observation_id":"fbb7aa87-e310-431a-b80f-062988a3000e","resolution":{"observed_at":"2026-07-31T14:26:02.335167Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.matpur.2019.10.008","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mazari, G","venue":"Journal de Mathématiques Pures et Appliquées","work_id":"07da597e-136d-4c52-8ac6-8c46e70336d3","year":2020},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.523793Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:076fae1c6fc8cce08dacd66d3e0e9f4f126d488e189e6652f330019b6ac54222","observation_id":"96680266-3fe4-49cb-a460-e3218ecdcc49","resolution":{"observed_at":"2026-07-31T14:26:02.177498Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/bs.hna.2021.12.012","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mazari, G","venue":"Handbook of numerical analysis","work_id":"2cfdcd43-5a93-43a6-85a6-98b481d79a64","year":2022},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.582859Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:416f0dcd51972808eb01d00d67320c3d4ec859febe8d5020394a6fc043cae29d","observation_id":"64a704bd-0e58-4db3-ad12-bf75b8745be4","resolution":{"observed_at":"2026-07-31T14:26:02.014616Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T14:21:18.659479Z","title":"Mazari, G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.659479Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:df73836e777c1cf30a4d24fb9306e65c7c3a3f944b3e083863e57891ce33f7d3","observation_id":"ad9e568f-6f5c-4520-8d96-d7c372592b43","resolution":{"observed_at":"2026-07-31T14:21:18.659479Z","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":"10.1137/20m132818x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mazari and D","venue":"SIAM Journal on Applied Mathematics","work_id":"f3f16a85-a7d1-41e8-8602-464c5fded51c","year":2021},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.696064Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:c6ba97deef5a32645865f6f37a3cc39deb2433183382ae2f893b8abe8849b7b0","observation_id":"790d6967-6760-4400-a8f6-0d8adfebd6fa","resolution":{"observed_at":"2026-07-31T14:26:01.805352Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.matpur.2019.10.002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mazzoleni, B","venue":"Journal de Mathématiques Pures et Appliquées","work_id":"6b9dde6a-cdad-4bf9-8237-19ad0e044fb9","year":2020},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.784488Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:924563d59ea25a27e02def1eaa42572477177817340b65daa47df28a5d176a94","observation_id":"3ee08728-8631-4e69-8aa9-5792b2b3fa4c","resolution":{"observed_at":"2026-07-31T14:26:01.628645Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/22m1490600","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mazzoleni, B","venue":"SIAM Journal on Mathematical Analysis","work_id":"82e7fbf6-cd22-43d7-88ad-7cfccdd19bc7","year":2023},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.867454Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:1dd781364abe9cdf5274afc25f01685cea1fbc0b4634175ff38673b556e2afc3","observation_id":"5211fd58-51e9-4e7d-8d1f-4aee6d32d04d","resolution":{"observed_at":"2026-07-31T14:26:01.427949Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T14:21:18.913577Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.913577Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:a78608db08aafc03368aacf8241c8b403d30cde394162465fd9456fc9ffd76d5","observation_id":"fdd23884-494e-4f29-a100-3a1bdb2fb53d","resolution":{"observed_at":"2026-07-31T14:21:18.913577Z","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":"10.1007/s00526-018-1353-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Nagahara and E","venue":"Calculus of Variations and Partial Differential Equations","work_id":"fb6d29f7-438d-4106-bfe0-9d6ea21ce4be","year":2018},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:18.994245Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:977c3c0187c3b89884ed5dacd286c1c44f874403ddb4a40976feda529001c10a","observation_id":"7cf287fa-4d46-460a-a4e1-68d1973bbbf9","resolution":{"observed_at":"2026-07-31T14:26:01.235046Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T14:21:19.063795Z","title":"Nocedal and S","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:19.063795Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:3a80378f6ffa08153b21df27a8f33b8815540cf8d183956d30f2eda9accdf4fc","observation_id":"d86c3fc3-e06a-41a3-989f-bdece36ed0ef","resolution":{"observed_at":"2026-07-31T14:21:19.063795Z","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/j.jde.2023.09.030","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Pellacci, G","venue":"Journal of Differential Equations","work_id":"dd36b1d6-d94c-4178-baf5-1452a7da0215","year":2024},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:19.115321Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:c87465ba0fc1712af7d9f13e5556b47552717e5e72aba5e87b278525119dbe38","observation_id":"49b878e4-4653-4fb4-9581-458d59a386f1","resolution":{"observed_at":"2026-07-31T14:26:01.024901Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[{"edge_observation":{"observed_at":"2026-07-31T18:17:47.884813+00:00","source":"paper_reference_links","state":"open"},"event_date":"2026-01-23","event_type":"correction","notice_doi":"10.1016/j.jde.2026.114130","provenance":{"observed_at":"2026-07-11T03:11:47.000566+00:00","source":"crossref","source_record_id":"10.1016/j.jde.2026.114130->10.1016/j.jde.2023.09.030:correction"}}],"reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-031-21853-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Salsa and G","venue":"Unitext","work_id":"a72a5a72-5033-4acd-be4b-d76144e8294b","year":2022},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:19.194611Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:f51682eb060420bf8dabe3a743977ebf7a4179d72ef9804fcf0cde4b86310f7c","observation_id":"6be86f67-bc8f-4be1-811f-ee948c6292b9","resolution":{"observed_at":"2026-07-31T14:26:00.901784Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/sj.bjc.6600021","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"British Journal of Cancer","work_id":"e7e30ce2-7cfa-4a60-9f42-b28da2405ebe","year":2002},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:19.267141Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:048514af3f3bac8144b38d2e4de769c4bf72275c8736bd8d28fc70281d805838","observation_id":"2127cfa0-03b5-419a-88c2-88c3f3663472","resolution":{"observed_at":"2026-07-31T14:26:00.731285Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jns.2003.06.001","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of the Neurological Sciences","work_id":"0c980833-ffdc-4916-b8c9-c46a321fd2fa","year":2003},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:19.333167Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:23f2362e4d14f55cc8415c0295823f4a907f5ff8cbbdc44643669c6213772228","observation_id":"a5038896-d1a4-4cef-ba0a-3e3a141ce85a","resolution":{"observed_at":"2026-07-31T14:26:00.513330Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11538-015-0110-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Talkington and R","venue":"Bulletin of Mathematical Biology","work_id":"bdf1ecdc-e533-465b-adf9-1f53dc376c4c","year":2015},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:19.374056Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:214e0e53af91a0c7ba36964913a164cc720185dbfcdeb7fa7efdbfcc406a3a50","observation_id":"0dbb611a-cf00-42ee-965f-27ffd08d3dec","resolution":{"observed_at":"2026-07-31T14:26:00.365945Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-07-31T14:21:19.460324Z","title":"Tröltzsch, Optimal Control of Partial Differential Equations: Theory, Me thods and Applications , Graduate Studies in Mathematics, Vol","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:19.460324Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:7210414b13c7e45fce4ab89f39641abac202c3a81290dadf9347310983accb01","observation_id":"6dba5e0e-e0e7-49e7-9677-17585102d683","resolution":{"observed_at":"2026-07-31T14:21:19.460324Z","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":"10.1371/journal.pcbi.1007178","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Vaghi, A","venue":"PLoS Computational Biology","work_id":"0b355123-5aa8-4d64-a941-ef101b1534d7","year":2020},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:19.539866Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:4284db5d087413180f517acdbb52c7eb7b0e6f88ae6267cfc373518507358f17","observation_id":"a65de7f9-abe7-474c-9d87-dcc120f15196","resolution":{"observed_at":"2026-07-31T14:26:00.203568Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/0470871296","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":null,"work_id":"2c45e30c-c700-4206-9a68-7ef59491862b","year":null},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":2003,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.316380Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:52dba8c7fdf3f5115d44502d45aaa335c2bba5660107cf0e2ceb993e649d0a3a","observation_id":"3f272369-64b7-4010-a807-a3d8e96c85c8","resolution":{"observed_at":"2026-07-31T14:26:05.184350Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1158/0008-5472.can-12-4355","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Cancer Research","work_id":"af052e6c-4377-463e-8db4-914b61026411","year":null},"citing_paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth","version":1},"reference_index":2411,"source":"pdf_text","source_observed_at":"2026-07-31T14:21:17.848442Z"},"links":{"citing_paper":"/paper/2607.24468"},"observation_digest":"sha256:28e34068c38459ceb71dada357e0c385948845e98d3b0acbe89d40f010ccba38","observation_id":"a93e7f69-35dc-49b2-a138-b32082fa673c","resolution":{"observed_at":"2026-07-31T14:26:04.303172Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.24468","last_updated":"2026-07-27T14:06:21Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-06T08:06:55.024831Z","submitted_at":"2026-07-27T14:06:21Z","title":"Optimization of the total tumor population under Gompertz growth"},"reference_resolution":{"displayed":50,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":35,"verified_fuzzy":0},"total_outbound_references":50},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2607.24468."}