{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:CQJVSPK2HJOLJX56UKJPAFID64","short_pith_number":"pith:CQJVSPK2","canonical_record":{"source":{"id":"1204.0799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-03T20:22:09Z","cross_cats_sorted":[],"title_canon_sha256":"b3f0db2e2e3b6c8ae601da61c07f20878f6d4e094c02e04541f38f0a4faac64b","abstract_canon_sha256":"d03709d71582857f0b2dfb0cb59e6023f3073bc45b22949b40e09d890aa72703"},"schema_version":"1.0"},"canonical_sha256":"1413593d5a3a5cb4dfbea292f01503f71a7e6709b083d2397d8470b47195c05c","source":{"kind":"arxiv","id":"1204.0799","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0799","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0799v1","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0799","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"pith_short_12","alias_value":"CQJVSPK2HJOL","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CQJVSPK2HJOLJX56","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CQJVSPK2","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:CQJVSPK2HJOLJX56UKJPAFID64","target":"record","payload":{"canonical_record":{"source":{"id":"1204.0799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-03T20:22:09Z","cross_cats_sorted":[],"title_canon_sha256":"b3f0db2e2e3b6c8ae601da61c07f20878f6d4e094c02e04541f38f0a4faac64b","abstract_canon_sha256":"d03709d71582857f0b2dfb0cb59e6023f3073bc45b22949b40e09d890aa72703"},"schema_version":"1.0"},"canonical_sha256":"1413593d5a3a5cb4dfbea292f01503f71a7e6709b083d2397d8470b47195c05c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:37.749085Z","signature_b64":"Ow+yAEbOI3tHUAkbnj6ycVp5M60MwAUP8UvfZxNBtkcJKiasoHKKsLDBy79w63C3CseJvWUvI2ExOQkH1XHmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1413593d5a3a5cb4dfbea292f01503f71a7e6709b083d2397d8470b47195c05c","last_reissued_at":"2026-05-18T03:58:37.748483Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:37.748483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.0799","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":"2026-05-18T03:58:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JYTRIcQisj9JMuH8KcDh+dETT+UAmymJGRSemQL7eBNYKCot38jqGSZ8W2wMKQEpZc7KxP3a5wEeI+zLRdXVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:19:36.620940Z"},"content_sha256":"5f34d99a1706b4c2ed1de76c0e2cefc810829760545078e17188dd28163456f7","schema_version":"1.0","event_id":"sha256:5f34d99a1706b4c2ed1de76c0e2cefc810829760545078e17188dd28163456f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:CQJVSPK2HJOLJX56UKJPAFID64","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Etude d'un mod\\`ele de dynamique des populations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"INRIA Paris - Rocquencourt), Sylvain Arlot (LIENS","submitted_at":"2012-04-03T20:22:09Z","abstract_excerpt":"We study an infinite dimensional dynamical system that was proposed by J.C. Yoccoz and N.G. Yoccoz for modeling the population dynamics of some small rodents. We show an attractor exist in a large domain of the parameter space. Thanks to simulations, we describe the possible dynamics of the system, in particular some Henon-type strange attractors, but also a new kind of attractor. We study the complexity of the new attractor and the reasons causing it, from both geometrical and dynamical points of view. Thus, we show a chaotic behaviour can be obtained in a population dynamics model with a str"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0799","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":"2026-05-18T03:58:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c8BzyOdzrChgg6Fwi1/eMF/QZt4ASy5Yc8CxK2p4KaFvueKdSlWV1QoCTfOSa6eRRANTUtsgDnVTUuWXAQwKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:19:36.621633Z"},"content_sha256":"2224432139696c18b0a947177fe3ee0fc21be01296b683bad301fa1f17098182","schema_version":"1.0","event_id":"sha256:2224432139696c18b0a947177fe3ee0fc21be01296b683bad301fa1f17098182"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CQJVSPK2HJOLJX56UKJPAFID64/bundle.json","state_url":"https://pith.science/pith/CQJVSPK2HJOLJX56UKJPAFID64/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CQJVSPK2HJOLJX56UKJPAFID64/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":"2026-05-31T08:19:36Z","links":{"resolver":"https://pith.science/pith/CQJVSPK2HJOLJX56UKJPAFID64","bundle":"https://pith.science/pith/CQJVSPK2HJOLJX56UKJPAFID64/bundle.json","state":"https://pith.science/pith/CQJVSPK2HJOLJX56UKJPAFID64/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CQJVSPK2HJOLJX56UKJPAFID64/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CQJVSPK2HJOLJX56UKJPAFID64","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":"d03709d71582857f0b2dfb0cb59e6023f3073bc45b22949b40e09d890aa72703","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-03T20:22:09Z","title_canon_sha256":"b3f0db2e2e3b6c8ae601da61c07f20878f6d4e094c02e04541f38f0a4faac64b"},"schema_version":"1.0","source":{"id":"1204.0799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0799","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0799v1","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0799","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"pith_short_12","alias_value":"CQJVSPK2HJOL","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CQJVSPK2HJOLJX56","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CQJVSPK2","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:2224432139696c18b0a947177fe3ee0fc21be01296b683bad301fa1f17098182","target":"graph","created_at":"2026-05-18T03:58:37Z","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 study an infinite dimensional dynamical system that was proposed by J.C. Yoccoz and N.G. Yoccoz for modeling the population dynamics of some small rodents. We show an attractor exist in a large domain of the parameter space. Thanks to simulations, we describe the possible dynamics of the system, in particular some Henon-type strange attractors, but also a new kind of attractor. We study the complexity of the new attractor and the reasons causing it, from both geometrical and dynamical points of view. Thus, we show a chaotic behaviour can be obtained in a population dynamics model with a str","authors_text":"INRIA Paris - Rocquencourt), Sylvain Arlot (LIENS","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-03T20:22:09Z","title":"Etude d'un mod\\`ele de dynamique des populations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0799","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":"sha256:5f34d99a1706b4c2ed1de76c0e2cefc810829760545078e17188dd28163456f7","target":"record","created_at":"2026-05-18T03:58:37Z","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":"d03709d71582857f0b2dfb0cb59e6023f3073bc45b22949b40e09d890aa72703","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-03T20:22:09Z","title_canon_sha256":"b3f0db2e2e3b6c8ae601da61c07f20878f6d4e094c02e04541f38f0a4faac64b"},"schema_version":"1.0","source":{"id":"1204.0799","kind":"arxiv","version":1}},"canonical_sha256":"1413593d5a3a5cb4dfbea292f01503f71a7e6709b083d2397d8470b47195c05c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1413593d5a3a5cb4dfbea292f01503f71a7e6709b083d2397d8470b47195c05c","first_computed_at":"2026-05-18T03:58:37.748483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:37.748483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ow+yAEbOI3tHUAkbnj6ycVp5M60MwAUP8UvfZxNBtkcJKiasoHKKsLDBy79w63C3CseJvWUvI2ExOQkH1XHmCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:37.749085Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f34d99a1706b4c2ed1de76c0e2cefc810829760545078e17188dd28163456f7","sha256:2224432139696c18b0a947177fe3ee0fc21be01296b683bad301fa1f17098182"],"state_sha256":"e35269522a88f553d5bc08ef1b231293fdb430f40c1de6b8272fb846b5c8beb7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p0RgeGOzjrI6EeuUJcayGaKRWfzOCZAl3UOju/t1yRMohpuZj2gDntPUbVA0BARbpvnntk7n+C7ALoj3B3H7CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:19:36.625606Z","bundle_sha256":"0b7c1bf27e7c340fd529bed252ca50ba2656d866574d175c37872ecb8c74c530"}}