{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2Z6T2MNAAPDF3JYVDQA5VHBRVE","short_pith_number":"pith:2Z6T2MNA","schema_version":"1.0","canonical_sha256":"d67d3d31a003c65da7151c01da9c31a91a0913f7a80593d3640b40a688d07695","source":{"kind":"arxiv","id":"1404.7199","version":1},"attestation_state":"computed","paper":{"title":"On the acceleration of spatially distributed agent-based computations: a patch dynamics scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"C. William Gear, Giovanni Samaey, Ioannis G. Kevrekidis, Ping Liu","submitted_at":"2014-04-29T00:37:21Z","abstract_excerpt":"In recent years, individual-based/agent-based modeling has been applied to study a wide range of applications, ranging from engineering problems to phenomena in sociology, economics and biology. Simulating such agent-based models over extended spatiotemporal domains can be prohibitively expensive due to stochasticity and the presence of multiple scales. Nevertheless, many agent-based problems exhibit smooth behavior in space and time on a macroscopic scale, suggesting that a useful coarse-grained continuum model could be obtained. For such problems, the equation-free framework [16-18] can sign"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1404.7199","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-29T00:37:21Z","cross_cats_sorted":[],"title_canon_sha256":"fbf2a27027c22370e7e27a27c290be97ea37ef1d0265039966b6dd64d2cfd338","abstract_canon_sha256":"ccc2a576da4b79ba556efaaac71036bc89289f8eb95aecca75a2c7c12802688c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:57.255704Z","signature_b64":"r5SIv/pVuw3hqMLO7uSvww+r9smD4SqN+gnGbzS+HAhDaKTAxErUIUsqkYN/9sqxz4CCtt8S2yeVkjyIZdXWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d67d3d31a003c65da7151c01da9c31a91a0913f7a80593d3640b40a688d07695","last_reissued_at":"2026-05-18T02:52:57.255171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:57.255171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the acceleration of spatially distributed agent-based computations: a patch dynamics scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"C. William Gear, Giovanni Samaey, Ioannis G. Kevrekidis, Ping Liu","submitted_at":"2014-04-29T00:37:21Z","abstract_excerpt":"In recent years, individual-based/agent-based modeling has been applied to study a wide range of applications, ranging from engineering problems to phenomena in sociology, economics and biology. Simulating such agent-based models over extended spatiotemporal domains can be prohibitively expensive due to stochasticity and the presence of multiple scales. Nevertheless, many agent-based problems exhibit smooth behavior in space and time on a macroscopic scale, suggesting that a useful coarse-grained continuum model could be obtained. For such problems, the equation-free framework [16-18] can sign"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7199","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1404.7199","created_at":"2026-05-18T02:52:57.255242+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7199v1","created_at":"2026-05-18T02:52:57.255242+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7199","created_at":"2026-05-18T02:52:57.255242+00:00"},{"alias_kind":"pith_short_12","alias_value":"2Z6T2MNAAPDF","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2Z6T2MNAAPDF3JYV","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2Z6T2MNA","created_at":"2026-05-18T12:28:11.866339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2Z6T2MNAAPDF3JYVDQA5VHBRVE","json":"https://pith.science/pith/2Z6T2MNAAPDF3JYVDQA5VHBRVE.json","graph_json":"https://pith.science/api/pith-number/2Z6T2MNAAPDF3JYVDQA5VHBRVE/graph.json","events_json":"https://pith.science/api/pith-number/2Z6T2MNAAPDF3JYVDQA5VHBRVE/events.json","paper":"https://pith.science/paper/2Z6T2MNA"},"agent_actions":{"view_html":"https://pith.science/pith/2Z6T2MNAAPDF3JYVDQA5VHBRVE","download_json":"https://pith.science/pith/2Z6T2MNAAPDF3JYVDQA5VHBRVE.json","view_paper":"https://pith.science/paper/2Z6T2MNA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7199&json=true","fetch_graph":"https://pith.science/api/pith-number/2Z6T2MNAAPDF3JYVDQA5VHBRVE/graph.json","fetch_events":"https://pith.science/api/pith-number/2Z6T2MNAAPDF3JYVDQA5VHBRVE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2Z6T2MNAAPDF3JYVDQA5VHBRVE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2Z6T2MNAAPDF3JYVDQA5VHBRVE/action/storage_attestation","attest_author":"https://pith.science/pith/2Z6T2MNAAPDF3JYVDQA5VHBRVE/action/author_attestation","sign_citation":"https://pith.science/pith/2Z6T2MNAAPDF3JYVDQA5VHBRVE/action/citation_signature","submit_replication":"https://pith.science/pith/2Z6T2MNAAPDF3JYVDQA5VHBRVE/action/replication_record"}},"created_at":"2026-05-18T02:52:57.255242+00:00","updated_at":"2026-05-18T02:52:57.255242+00:00"}