{"as_of":"2026-08-13T00:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9f68945c8233ba78c7433000bff256bbb28fc14b10e08fa0c828b6542e62b4c0","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T15:25:56.232322Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2412.00035/citation-record","integrity":"/paper/2412.00035/integrity","json":"/paper/2412.00035/citation-record.json","paper":"/paper/2412.00035"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T15:25:56.555945Z","title":"Optimalization strategy of abalone (haliotis asinina) cul- tivation in Lombok-island using the matrix Leslie : INA-Rxiv 2018/3","venue":null,"work_id":"ad7f0842-9c70-49ce-9064-dd06dc563d7a","year":2018},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.132910Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:c03903c0cc93a7dc02735d8aded073c28bd4ab295d50ccf584efacd47cf29dc5","observation_id":"ee088584-f2b3-4875-8a35-5b00dc19610c","resolution":{"observed_at":"2026-08-12T15:25:56.560343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.545818Z","title":"M., Shikaa S","venue":null,"work_id":"331bfbd5-dcc0-4839-84dd-20dcfbd958bc","year":2023},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.137327Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:bfbd3e18ddc245d2848c7c254400d7962f6987e563a0e4629929f32a561b6d06","observation_id":"ce1321b5-fa55-4b0d-8607-516765274130","resolution":{"observed_at":"2026-08-12T15:25:56.549362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.534405Z","title":"et al., Estimated Effect of COVID-19 Lockdown on Skin Tu- mor Size and Survival: An Exponential Growth Model : Actas Dermosi- filiogr","venue":null,"work_id":"968868a0-740b-4645-aa30-9b1a55ad8c28","year":2020},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.141045Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:7fa243e3d8e63874fb3758a85a84d26a3960913a947067e5930f84ee08d3e1df","observation_id":"a5bed8ee-27f6-4e4a-8b98-1f3a0fce2d67","resolution":{"observed_at":"2026-08-12T15:25:56.539133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.524083Z","title":"Dynamics of cell growth: Exponen- tial growth and division after a minimum cell size : Partial Differential Equations in Applied Mathematics 11 (2024) 100814","venue":null,"work_id":"ea9afd9c-b4f9-449a-97b4-991229baaf51","year":2024},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.144761Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:85026aca4ad5ab4a6a441ad649c85af35b37416e361d53f84488a71b81ea2d97","observation_id":"12a1c325-81fa-4364-9523-9d5fb23f4c05","resolution":{"observed_at":"2026-08-12T15:25:56.528021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.512134Z","title":null,"venue":null,"work_id":"a7e451f6-3ae0-4326-956d-e365ca2e12c1","year":2024},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.148214Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:dcd47c1be035e39a96f9fb730cffcf8d0fb04881d869257e383390f7d69345a8","observation_id":"6caf32de-5cf1-4bd5-80fe-0109d5184134","resolution":{"observed_at":"2026-08-12T15:25:56.517773Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.502282Z","title":null,"venue":null,"work_id":"9674a7d4-aa33-4f6b-a58b-01c418ddec9b","year":1991},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.152129Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:d3e38d12d603751618e6d24445815b4a92c13c7a113056f36c8b52e37e49cac7","observation_id":"daef5c84-0ab9-4e8c-9a37-1eb6c6246425","resolution":{"observed_at":"2026-08-12T15:25:56.505685Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.491830Z","title":"S., Liu R","venue":null,"work_id":"9ac91022-a5f3-48cb-a4e5-dad04619845a","year":2015},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.155802Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:b8d1e47dc440f24bbd2a9da73756a19946fda52fbdf5f4c23828c980005fc206","observation_id":"4cbbb296-71d4-4330-8fca-45d8f511442d","resolution":{"observed_at":"2026-08-12T15:25:56.496028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.480947Z","title":null,"venue":null,"work_id":"3538f054-9f84-42a0-bd6a-3607162ba5a6","year":2024},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.160247Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:30fadfe04a003c39e667fa9205db056dfcd23479d994c01ba96c45ba0d08634d","observation_id":"02ed1535-4e46-49c6-87dd-ef2a1524dfc0","resolution":{"observed_at":"2026-08-12T15:25:56.485164Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.470836Z","title":"Toward an integrated workforce planning framework using structured equations: European Journal of Operational Research 262 (2017) 217–230","venue":null,"work_id":"4b1629ad-31f6-4621-a0af-391c8fba6ccb","year":2017},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.163743Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:4a1b61eed0ddec689b66f3f19680e598c27023137388b55367ceb34ba8f9a300","observation_id":"f7740a08-bfd2-4157-8dad-cd99d937b597","resolution":{"observed_at":"2026-08-12T15:25:56.474502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.460171Z","title":"The effects of technological shocks in an optimal goodwill model with a random product life cycle : Computers and Mathematics with Applications 76 (2018) 905–922","venue":null,"work_id":"dc997139-5166-4dec-88ce-3a1a12776596","year":2018},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.167126Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:65802c0fe303ccb6959437ef07eb1fae4b45351e050fd8c6736de1fb146ec8bd","observation_id":"8d8942ea-143d-46ee-8edb-f0743445cc3b","resolution":{"observed_at":"2026-08-12T15:25:56.463780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.450010Z","title":null,"venue":null,"work_id":"64eef4dc-3647-4869-b896-aab66262f77a","year":2020},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.170531Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:417e33685ca104d1a1801abf2fdb0e41fed44cd44734bfea84d28226adf7735d","observation_id":"31a6d7b5-21dd-42aa-92f8-c0a454c7e5f9","resolution":{"observed_at":"2026-08-12T15:25:56.453341Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.439653Z","title":"Traveling waves of a differential- difference diffusive Kermack-McKendrick epidemic model with age- structured protection phase: J","venue":null,"work_id":"9a07c1cd-222a-4906-90b8-d0978cf20139","year":2022},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.174250Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:0eeb9ec67348ef6ffb1d44e15acbb408dfb19c5d4716738fdd93ae34b7a0d599","observation_id":"905061da-c675-4ab0-842d-cb1bd5af6dac","resolution":{"observed_at":"2026-08-12T15:25:56.443722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.429769Z","title":null,"venue":null,"work_id":"ceba0173-b04f-4457-a558-655f2c7518f2","year":2020},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.177629Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:fa683283428539a9dfb0abd8d04d1fff20b5eac39101ab986625f9d6d4ab3fb3","observation_id":"1230770f-9925-4b4e-94c6-77068de4ac13","resolution":{"observed_at":"2026-08-12T15:25:56.433322Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.419466Z","title":"On a periodic age-structured population model with spatial structure: Non-linear Analysis : Real World Applications 61 (2021) 103337","venue":null,"work_id":"d2eb7b74-00f4-4aa5-b094-f61ccbaf7ee4","year":2021},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.181474Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:8b4e4f68447e82a221198ce584c5bbc2470b49baf729975d429103762541dff3","observation_id":"d72a611f-e232-4004-88c9-e0fda9b779e2","resolution":{"observed_at":"2026-08-12T15:25:56.423073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.409147Z","title":"A non-linear continuous-time model for a semelparous species: Mathematical Biosciences 297 (2018) 1–11","venue":null,"work_id":"a770d8ae-3a63-494c-b8f7-f44ea16ff907","year":2018},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.184784Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:feb97014bfd63301f69fe808e7b92f471255f33fd2109eb7c20f94f72858547d","observation_id":"a971b590-5190-495d-b8b7-4502ea9fdda8","resolution":{"observed_at":"2026-08-12T15:25:56.412822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.398634Z","title":"Analysis of an age structured model for tick populations subject to seasonal effects : J","venue":null,"work_id":"0a2fbc07-6638-49a0-b632-7e481698c92e","year":2017},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.188046Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:0dde24409add72cd5a68d5491f86babd291b3c9bba918003af1e65fc9cd3db3f","observation_id":"d17f1ad4-8144-47c2-954d-be9daa29bffd","resolution":{"observed_at":"2026-08-12T15:25:56.402505Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.388015Z","title":null,"venue":null,"work_id":"34a5952d-759a-4088-8c71-84a5897a5481","year":2023},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.191963Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:b3fbd7f2d506eed26d5dfbf61f3a0d54f585ae66946b703c639c19478051a3c5","observation_id":"34b04705-39e6-4767-b4c4-1aaee9541146","resolution":{"observed_at":"2026-08-12T15:25:56.391724Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.376416Z","title":"Solving delay differential systems with history functions by the Adomian decomposition method : Applied Mathematics and Computation 218 (2012) 5994–6011","venue":null,"work_id":"e76f1790-a60d-49cf-ad8d-edb94dd43c34","year":2012},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.195157Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:f43b91cee8ca882d43402f2d7adbf99de758c582d19cdef2dce090c81ab578f8","observation_id":"522b4b26-343d-4584-ba14-bdad432d988c","resolution":{"observed_at":"2026-08-12T15:25:56.380830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.365801Z","title":"An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method: Applied Math- ematics and Computation 167 (2005) 561–571","venue":null,"work_id":"8585ac16-2cb7-4935-a498-453dc307d7fb","year":2005},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.198448Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:c5cbcb122d9db21f09178cad72dcdb572796f1288e26085f6edc3f174f2b6562","observation_id":"fa2688d1-7189-4393-ad26-f8c2a8f884f2","resolution":{"observed_at":"2026-08-12T15:25:56.369580Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.354838Z","title":"Analytical solution of a fractional diffusion equation by Adomian decomposition method : Applied Mathematics and Compu- tation 174 (2006) 329–336","venue":null,"work_id":"5b6d2fd9-d8b8-4ec0-82f0-3ca28ab7947e","year":2006},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.201695Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:d087b5c200c53106d2cc496f50d036cfd84a53dc1f0552059d277ca75434420c","observation_id":"f9abed57-210e-442a-8a06-f35bf47e88a6","resolution":{"observed_at":"2026-08-12T15:25:56.358532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.345118Z","title":"What is a fractional derivative? : Journal of Computational Physics 293 (2015) 4–13","venue":null,"work_id":"af4ecb23-f220-49a5-9759-34ed9381083b","year":2015},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.204732Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:00ecfdcaf369cf59dd91a1c3880a73e4f68d3bf6e1c970bf521f0caf6cf9690c","observation_id":"2a3f79ca-98e5-42dd-beb7-7ffa0104a8db","resolution":{"observed_at":"2026-08-12T15:25:56.348694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.334931Z","title":"Caputo derivatives of fractional variable order: Numerical approximations : Commun Nonlinear Sci Nu- mer Simulat 35 (2016) 69–87","venue":null,"work_id":"a1f7a0a4-9e26-416b-ba2b-d3ee59e378be","year":2016},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.208243Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:d288caaadaef5fd7d17ef16863fbc31eb128711fc4f1b51bd2068d2c9579a3bd","observation_id":"72bb3d1b-a1ee-451b-8bf1-ab662ae0a826","resolution":{"observed_at":"2026-08-12T15:25:56.338510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.325063Z","title":null,"venue":null,"work_id":"d18a7197-3fb3-4b00-9c37-c47fdfd9048b","year":2024},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.211588Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:759920886dd074cc564f084b6c17ac8a6b11a5c5f793f9b3b504a31935895dc1","observation_id":"05178ec2-7220-437c-857b-87402c7dc064","resolution":{"observed_at":"2026-08-12T15:25:56.328369Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.314212Z","title":"Generalized differential transform method for solving a spaceand time-fractional diffusion-wave equation : Physics Letters A 370 (2007) 379–387","venue":null,"work_id":"c89467d2-c24d-42ec-ab72-fd9447def599","year":2007},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.214955Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:9acaf005269d6df0fc4e8bb31a4dd3a1856d5aa5dd7c8b9e50631ef5b215644f","observation_id":"2a20da94-4545-4854-8f2e-9ec8787f1612","resolution":{"observed_at":"2026-08-12T15:25:56.318280Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.303177Z","title":"Numerical Solution of Frac- tional Partial Differential Equations with Normalized Bernstein Wavelet Method: Appl","venue":null,"work_id":"29daa1c9-df60-41d5-9e4d-a63b1569b693","year":1932},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.218119Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:4676acb480703259c4ed8283ccf1bbf0a140d8beca009bf620fe109823f1fa70","observation_id":"c0d96fd8-e8cb-40a4-a1fd-a43313447429","resolution":{"observed_at":"2026-08-12T15:25:56.306962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.292171Z","title":"On generalized fractional integral with multivariate Mittag-Leffler function and its applications : Alexandria Engineering Journal (2022) 61, 9187–9201","venue":null,"work_id":"2f94294d-4beb-4396-a0c4-22e51a9f8927","year":2022},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.221719Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:0596b7e509705329905f3557564e362d2f4ee964d9cfd9efb723de58ae59b842","observation_id":"2136e01d-985f-41f0-b8bf-30f7a268dc5e","resolution":{"observed_at":"2026-08-12T15:25:56.296359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.281921Z","title":null,"venue":null,"work_id":"f7fb0959-c48e-4aef-b268-05c0d7290adc","year":2024},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.225097Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:e719482b46700d416615adcf6ac34aa11a9bf6975f79730f2ba711010d6816ed","observation_id":"f6a97275-1163-41eb-90a0-6ea6f40adc54","resolution":{"observed_at":"2026-08-12T15:25:56.285117Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.271291Z","title":"Logistic model of abalone’s length growth in Sekotong, West Lombok : AIP Publishing LLC-2199 (2019)-030002","venue":null,"work_id":"0e0d4280-5b0a-4711-b786-25a7c0998788","year":2019},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.228494Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:634bd00558be2d5fa492d4386303372cde286136b558702d78ce44a0a339af86","observation_id":"ccce01d7-bc95-4db6-82c7-713d30e510c1","resolution":{"observed_at":"2026-08-12T15:25:56.274835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T15:25:56.258778Z","title":"Fractional growth model of abalone length : Partial Differential Equations in Applied Mathematics 10 (2024) 100668","venue":null,"work_id":"f84a3c1d-e21c-4244-ad75-dd39e5633708","year":2024},"citing_paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T15:25:56.232322Z"},"links":{"citing_paper":"/paper/2412.00035"},"observation_digest":"sha256:4c13a31684abbcb9f43e91d87b1dbe41c526e46e752ef128153b9d280be12acc","observation_id":"4a8bc93f-1b1e-4165-bb06-9d09f3b2bc60","resolution":{"observed_at":"2026-08-12T15:25:56.264202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.00035","last_updated":"2024-11-21T16:53:20Z","latest_version":1,"primary_category":"math.GM","snapshot_observed_at":"2026-08-12T15:17:34.519086Z","submitted_at":"2024-11-21T16:53:20Z","title":"A Fractional Model of Abalone Growth using Adomian Decomposition Method"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":21},"total_outbound_references":29},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2412.00035."}