{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SJWHKYKISY5KINYFPWWPYVRRZS","short_pith_number":"pith:SJWHKYKI","canonical_record":{"source":{"id":"1110.6413","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2011-10-13T15:25:22Z","cross_cats_sorted":[],"title_canon_sha256":"ac16316c7312d16974220456563a368bb82dde3b1ad5e564f8923a196ec5f47d","abstract_canon_sha256":"9eae339a18a6b39c381ea3aa63c561a1d15000dc9575af078aa1423893907611"},"schema_version":"1.0"},"canonical_sha256":"926c756148963aa437057dacfc5631cca53fec2348cfb7ca7342af9a864a0258","source":{"kind":"arxiv","id":"1110.6413","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6413","created_at":"2026-05-18T04:09:56Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6413v1","created_at":"2026-05-18T04:09:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6413","created_at":"2026-05-18T04:09:56Z"},{"alias_kind":"pith_short_12","alias_value":"SJWHKYKISY5K","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SJWHKYKISY5KINYF","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SJWHKYKI","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SJWHKYKISY5KINYFPWWPYVRRZS","target":"record","payload":{"canonical_record":{"source":{"id":"1110.6413","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2011-10-13T15:25:22Z","cross_cats_sorted":[],"title_canon_sha256":"ac16316c7312d16974220456563a368bb82dde3b1ad5e564f8923a196ec5f47d","abstract_canon_sha256":"9eae339a18a6b39c381ea3aa63c561a1d15000dc9575af078aa1423893907611"},"schema_version":"1.0"},"canonical_sha256":"926c756148963aa437057dacfc5631cca53fec2348cfb7ca7342af9a864a0258","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:56.798764Z","signature_b64":"Pmkwn47YsnvYtrJ5SBd2GuVnX8+okMTUISaXXTaoID2gRvTKvExtRwi743tzn5aky/X5LhR2akRZsXBA2sGYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"926c756148963aa437057dacfc5631cca53fec2348cfb7ca7342af9a864a0258","last_reissued_at":"2026-05-18T04:09:56.798025Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:56.798025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.6413","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:09:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yweAg/bpaGh9bNuO65FOg/OsSpf2XqC+696LKJWp5vnkJ2dOkV4AXKJxKbifxgpb04VdX0ibh1Y7URSDBYAoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:36:34.472736Z"},"content_sha256":"f08518ad7d28fc9b439a3b8c02d55f0d4a5cd6b638ff6872460bfe7c0cf8c5be","schema_version":"1.0","event_id":"sha256:f08518ad7d28fc9b439a3b8c02d55f0d4a5cd6b638ff6872460bfe7c0cf8c5be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SJWHKYKISY5KINYFPWWPYVRRZS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A pulse fishery model with closures as function of the catch: Conditions for sustainability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.OT","authors_text":"Fernando C\\'ordova-Lepe, Gonzalo Robledo, Rodrigo del Valle","submitted_at":"2011-10-13T15:25:22Z","abstract_excerpt":"We present a model of single species fishery which alternates closed seasons with pulse captures. The novelty is that the length of a closed season is determined by the stock size of the last capture. The process is described by a new type of impulsive differential equations recently introduced. The main result is a fishing effort threshold which determines either the sustainability of the fishery or the extinction of the resource."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6413","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:09:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DjXGpNw/0lY7em0AjlXRmkHtu0NHzHpZkgKIq2J2RbtS4FuBtDE5R7S0YBryRwcdADKZ6lHGxsenyuZp/zV4Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:36:34.473076Z"},"content_sha256":"4a272068c933dc6a1d335a8a551e7be10f4d4bd1f9e4f48d81eadf3b751d48a0","schema_version":"1.0","event_id":"sha256:4a272068c933dc6a1d335a8a551e7be10f4d4bd1f9e4f48d81eadf3b751d48a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SJWHKYKISY5KINYFPWWPYVRRZS/bundle.json","state_url":"https://pith.science/pith/SJWHKYKISY5KINYFPWWPYVRRZS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SJWHKYKISY5KINYFPWWPYVRRZS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T11:36:34Z","links":{"resolver":"https://pith.science/pith/SJWHKYKISY5KINYFPWWPYVRRZS","bundle":"https://pith.science/pith/SJWHKYKISY5KINYFPWWPYVRRZS/bundle.json","state":"https://pith.science/pith/SJWHKYKISY5KINYFPWWPYVRRZS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SJWHKYKISY5KINYFPWWPYVRRZS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SJWHKYKISY5KINYFPWWPYVRRZS","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":"9eae339a18a6b39c381ea3aa63c561a1d15000dc9575af078aa1423893907611","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2011-10-13T15:25:22Z","title_canon_sha256":"ac16316c7312d16974220456563a368bb82dde3b1ad5e564f8923a196ec5f47d"},"schema_version":"1.0","source":{"id":"1110.6413","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6413","created_at":"2026-05-18T04:09:56Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6413v1","created_at":"2026-05-18T04:09:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6413","created_at":"2026-05-18T04:09:56Z"},{"alias_kind":"pith_short_12","alias_value":"SJWHKYKISY5K","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SJWHKYKISY5KINYF","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SJWHKYKI","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:4a272068c933dc6a1d335a8a551e7be10f4d4bd1f9e4f48d81eadf3b751d48a0","target":"graph","created_at":"2026-05-18T04:09:56Z","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":"We present a model of single species fishery which alternates closed seasons with pulse captures. The novelty is that the length of a closed season is determined by the stock size of the last capture. The process is described by a new type of impulsive differential equations recently introduced. The main result is a fishing effort threshold which determines either the sustainability of the fishery or the extinction of the resource.","authors_text":"Fernando C\\'ordova-Lepe, Gonzalo Robledo, Rodrigo del Valle","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2011-10-13T15:25:22Z","title":"A pulse fishery model with closures as function of the catch: Conditions for sustainability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6413","kind":"arxiv","version":1},"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:f08518ad7d28fc9b439a3b8c02d55f0d4a5cd6b638ff6872460bfe7c0cf8c5be","target":"record","created_at":"2026-05-18T04:09:56Z","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":"9eae339a18a6b39c381ea3aa63c561a1d15000dc9575af078aa1423893907611","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2011-10-13T15:25:22Z","title_canon_sha256":"ac16316c7312d16974220456563a368bb82dde3b1ad5e564f8923a196ec5f47d"},"schema_version":"1.0","source":{"id":"1110.6413","kind":"arxiv","version":1}},"canonical_sha256":"926c756148963aa437057dacfc5631cca53fec2348cfb7ca7342af9a864a0258","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"926c756148963aa437057dacfc5631cca53fec2348cfb7ca7342af9a864a0258","first_computed_at":"2026-05-18T04:09:56.798025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:56.798025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pmkwn47YsnvYtrJ5SBd2GuVnX8+okMTUISaXXTaoID2gRvTKvExtRwi743tzn5aky/X5LhR2akRZsXBA2sGYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:56.798764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6413","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f08518ad7d28fc9b439a3b8c02d55f0d4a5cd6b638ff6872460bfe7c0cf8c5be","sha256:4a272068c933dc6a1d335a8a551e7be10f4d4bd1f9e4f48d81eadf3b751d48a0"],"state_sha256":"3608896d73088204568eec52d13fbf82260b444054c0e4ba71ac5ce00160bcca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TTXV7GOKB94cd40hJuHsmqPq/JevU2JfO+aBAPtoa+2Gx5EUo/s2T91Ae20sbL7atu1X/tPQQrkGNEtBExzFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:36:34.475012Z","bundle_sha256":"9dbe706f249b8395874631ae3bb0359525c586fbacd25460148a2ef0d0bc98a6"}}