{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YVRNANWHMMBBQVHWUWERFXYPU2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7ba59dfe0d8a5c4b9b820a2fbe09b6776e55a5effe53c317153247e6bbc48f51","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-01-02T21:13:41Z","title_canon_sha256":"6d4eba0239582d809f9e6c3f96c5f5f4d41e296657832b52b5630ddef6cb90aa"},"schema_version":"1.0","source":{"id":"1201.0535","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0535","created_at":"2026-05-18T02:30:16Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0535v2","created_at":"2026-05-18T02:30:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0535","created_at":"2026-05-18T02:30:16Z"},{"alias_kind":"pith_short_12","alias_value":"YVRNANWHMMBB","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YVRNANWHMMBBQVHW","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YVRNANWH","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:6cf3489e695c76822b992b9b90e220c5d44ee193fb385dc25842264357d634ce","target":"graph","created_at":"2026-05-18T02:30:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"One of the more interesting themes of the mathematical ecology is the description of the mutualistic interaction between two interacting species. Based on continuous-time model developed by Holland and DeAngelis 2009 for consumer-resource mutualism description, this work deals with the application of the Mickens Non Standard Finite Difference method to transform the continuous-time scheme into a discrete-time one. It has been proved that the Mickens scheme is dynamically consistent with the original one regardless of the step-sizes used in numerical simulations, in opposition of the forward Eu","authors_text":"Gianluca Gabbriellini","cross_cats":["nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-01-02T21:13:41Z","title":"Non Standard Finite Difference Scheme for Mutualistic Interaction Description"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0535","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e8f877a444bcc4284394300fcd4f85b1eeddfd8c17f43fafbf177b787e20dcdf","target":"record","created_at":"2026-05-18T02:30:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7ba59dfe0d8a5c4b9b820a2fbe09b6776e55a5effe53c317153247e6bbc48f51","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-01-02T21:13:41Z","title_canon_sha256":"6d4eba0239582d809f9e6c3f96c5f5f4d41e296657832b52b5630ddef6cb90aa"},"schema_version":"1.0","source":{"id":"1201.0535","kind":"arxiv","version":2}},"canonical_sha256":"c562d036c763021854f6a58912df0fa6a7cfe3633013cd74214456dbac8c33f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c562d036c763021854f6a58912df0fa6a7cfe3633013cd74214456dbac8c33f7","first_computed_at":"2026-05-18T02:30:16.071105Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:16.071105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GFk0MTzxLswaxZG5Yhhe6RKOgtguVyYPEiZUogjejBZMcYv/etxv7/jgoje5sQiRoC7AU2o5cBI2HLGASSAYBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:16.071505Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0535","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8f877a444bcc4284394300fcd4f85b1eeddfd8c17f43fafbf177b787e20dcdf","sha256:6cf3489e695c76822b992b9b90e220c5d44ee193fb385dc25842264357d634ce"],"state_sha256":"19a81ba29f4c3c93c01feebc0a8b9b2d66f8ece402fefbd72f7991b802f44821"}