{"as_of":"2026-08-14T06:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6ef93020a08573e1958b5c386d20844008ea3b23ee74198a0740d57d8250911b","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T18:41:23.213503Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2606.19294/citation-record","integrity":"/paper/2606.19294/integrity","json":"/paper/2606.19294/citation-record.json","paper":"/paper/2606.19294"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:41:23.213503Z","title":"Consensus and cooper- ation in networked multi-agent systems,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:359e59f1d781c18f0e8ef039942f2f461f3670c4b31475875c7df359636a4a16","observation_id":"5f7f48c8-1c43-45f7-9bc4-c3e038da2ec6","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Coordination of groups of mobile autonomous agents using nearest neighbor rules,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:1ba1676f2ad69803475dd76ef6b7b54b873a4b6cb276f11132c1f94e435e7222","observation_id":"d5b9630f-02c5-4787-ae24-4cfa225f5462","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Bullo, J","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:70ee1e79dba70de0ce7fcbd061da1bd009320c93c3cee0d1c607f936cefa9aec","observation_id":"85122c9a-05c8-4a51-9780-97c3fbe85bbd","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Novel type of phase transition in a system of self-driven particles,","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:db5c3dbf49da633d7300489c74960fda55c4925e7d50c63a4856fc6016b71dcf","observation_id":"37443b50-24e5-42a0-b1d4-8e54af9548ff","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Bonabeau, M","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:4874b8afce8a8936369ffc717d3d7ccdac843f56057237f6fde95d302a2e92fd","observation_id":"01719305-4a63-4763-af72-809813da3602","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Spatial dispersion as a dynamic coordi- nation problem,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:4ccd35597e419d56e7b535bffce5961e63821f8330e37693b3b753ae83b23d08","observation_id":"54b89f42-8884-4659-8008-fbb80c1cb4b1","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Dispersion games: General definitions and some specific learning results,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:acb726db48cca9dd1a1f71bcbcdd97789c9c5dfea62df1582b5b9c9983a7cfa3","observation_id":"9de15e73-08b0-479d-af7e-4a84ba7de113","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Decentralized learning from failure,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:7cf7355cfd0da29d6f020548fa62c3693b12850b9bb40b5e81cd9bc1ff51b8d7","observation_id":"59cb59c3-a751-43e2-9e25-dfc105442e7b","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Social distancing, gathering, search games: Mobile agents on simple networks,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:68726994c6cc54d6e33b6badaf2bb23c25b28c81ea3a84ccdc6148ed0e76cb4e","observation_id":"6122c846-9a6b-4a4e-9729-9d22671f6ff6","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Social distancing by autonomous, possibly territorial, agents on networks,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:ea66c70af0ed0af9b33efb1eceb743362e39ae43521d63cfbb2eee561a8db4dc","observation_id":"4cf8a659-2d45-418b-b138-98b59dfbc3e0","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"On non- cooperativeness in social distance games,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:c52d9a3a16862a4b2dd6190ee0ed04fca3ff9edfde03b1610d5200d67cb65413","observation_id":"a2f436da-7940-4ceb-b0a8-a77211984279","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"On Pareto optimality in social distance games,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:5083957d47bb0291415ae7cafaed83af84d6356caf1a736418e0369d285a6ae5","observation_id":"6620c9d7-baed-4314-b302-a934efda667d","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Random walks and diffusion on networks,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:fbdd354881105bde54e0bb340389ccdc3e889454d87f589ade3297434bee76c8","observation_id":"19f57357-bc31-4d79-990b-95e1c97eb537","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Random walks on weighted networks: A survey of local and non-local dynamics,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:5fc39a99a2ddfb6bf10ae271316e9ce694188b38bdbfc5d333180643773dea75","observation_id":"0f9a948b-ff9d-4417-8072-2b4c9cc7a406","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Ergodic limits, relaxations, and geometric properties of random walk node embeddings,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:b41a8b8b0552fca6541150ee3523665cacb5fcdac89957f3db56f55d6700a0ff","observation_id":"32b69487-8d3a-43cf-8142-5a18b4360500","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Coupling fear and contagion for modeling epidemic dynamics,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:c8091249c919286e9056285966c3e83320a5a9034f1d8381774d470daf76a675","observation_id":"ede31160-6c29-4b6b-b92d-b3b5d3aaddb9","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"A polarized temporal network model to study the spread of recurrent epidemic diseases in a partially vaccinated population,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:c85c9a87016318b1e7e8336b231b599177ae0c6ea15b1f5f54b2ed9890169d00","observation_id":"b0ee2d82-2ba7-405b-9003-26daa5240fe0","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Cooperation and competition coupled diffusion of multi-feature on multiplex networks and its control,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:005876c6d7929f038408d1c2ee84ffef40d5c0ddd28b35ab79d5ab5512c38128","observation_id":"4fdeae64-a36b-4460-9a10-53ca38400d5e","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"On territorial behavior and other factors influencing habitat distribution in birds. I. Theoretical development,","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:435471857bcfd315ee26452857ffbac6dad39be5d806d58d7525187ea6569402","observation_id":"1a8f33ad-41fe-4c59-a78a-16c271f1e469","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Animal interactions and the emergence of territoriality,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:9f5bc8c727aff1836a74a35504f1afe69cd0f869fff36f89ddb74d6f9751358e","observation_id":"bd7baaa8-cc32-44f9-9cd2-5734d4252242","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"A mechanistic, stigmergy model of territory formation in solitary animals: Territorial behavior can dampen disease prevalence but increase persistence,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:59807a4f766d21def000a52894b93a04e2f9ac683c852995a94b0f19adca2b2e","observation_id":"b2e93001-d20b-4cbf-81b6-e068cb6600cc","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Models and measures of animal aggregation and dispersal,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:36ae766ff85827ebfc2cb3231464044deab51d88ef6affffd19cc4e4a3bea185","observation_id":"70a9a3ba-5ca9-42d3-bfdb-349e8e9b8af5","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Characteristic times of biased random walks on complex networks,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:775bb21db3bb9ce07b3b6733f763b9d81cd516bd54f3c9f28c9044ea90bc73b9","observation_id":"d8b8e820-6235-4d3f-b487-d47ed2b293e1","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Patrolling games,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:3121f4785f4733e5144a0b2f4c6f0d113b24d1e61f9084b015cb4ca9b23a5e69","observation_id":"64c4d520-4649-49f7-b3fe-325a064df7a1","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"A competitive search game with a moving target,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:d69d852f4e55900aeb3506654efdce4a30611c64ae10ff2ab19bd2d6b9ab61ef","observation_id":"e63d7042-c4f2-48bf-bfe2-b716ff81a040","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","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":"2026-06-26T18:41:23.213503Z","title":"Adversarial patrolling with spatially uncertain alarm signals,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-26T18:41:23.213503Z"},"links":{"citing_paper":"/paper/2606.19294"},"observation_digest":"sha256:9b01e9de618455630623457c1ca3bc52bdc77650f64c422e10ceb6a4c796dc5d","observation_id":"175c96ed-39f2-4c1e-aced-a3f6fa5c8c65","resolution":{"observed_at":"2026-06-26T18:41:23.213503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.19294","last_updated":"2026-06-17T17:17:07Z","latest_version":1,"primary_category":"stat.AP","snapshot_observed_at":"2026-07-06T23:54:37.596257Z","submitted_at":"2026-06-17T17:17:07Z","title":"Accelerating Network-Agent Dispersion: Territorial Behavior and Directionally Biased Lazy Random Walks"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":26,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":26},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2606.19294."}