{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZXW3IPJMJTSOFR3G3LNCPFVSAB","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":"bc4caa4a07343ce19d308be10e14ce801a1b6600d86959f42923bef841350409","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-02-24T15:47:04Z","title_canon_sha256":"e8ac753665528bdac65de8651e3f7730fec932c296106d3d7da93dc90fac0f37"},"schema_version":"1.0","source":{"id":"1502.06841","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06841","created_at":"2026-05-18T02:26:24Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06841v1","created_at":"2026-05-18T02:26:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06841","created_at":"2026-05-18T02:26:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZXW3IPJMJTSO","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZXW3IPJMJTSOFR3G","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZXW3IPJM","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:b7132a943ab25ec34ecec64f217093ec0b41ebe9c065484022fd91f9e6ffb532","target":"graph","created_at":"2026-05-18T02:26:24Z","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":"The initial motivation of this text was to provide an up to date translation of the monograph [45] written in french by the first author, taking account of more recent developments of infinite dimensional dynamics based on the {\\L}ojasiewicz gradient inequality. In order to keep the present work within modest size bounds and to make it available to the readers without too much delay, we decided to make a first volume entirely dedicated to the so-called convergence problem for autonomous systems of dissipative type. We hope that this volume will help the interested reader to make the connection","authors_text":"Alain Haraux (LJLL), Mohamed Ali Jendoubi (D\\'epartement de Math\\'ematiques)","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-02-24T15:47:04Z","title":"The convergence problem for dissipative autonomous systems: classical methods and recent advances"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06841","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":"sha256:0abbf93d07c6baaff4db628ab0b4a5d6ddd6928327957036bb4471b185e2a11c","target":"record","created_at":"2026-05-18T02:26:24Z","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":"bc4caa4a07343ce19d308be10e14ce801a1b6600d86959f42923bef841350409","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-02-24T15:47:04Z","title_canon_sha256":"e8ac753665528bdac65de8651e3f7730fec932c296106d3d7da93dc90fac0f37"},"schema_version":"1.0","source":{"id":"1502.06841","kind":"arxiv","version":1}},"canonical_sha256":"cdedb43d2c4ce4e2c766dada2796b2004030bc787126ac282390689b84160631","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdedb43d2c4ce4e2c766dada2796b2004030bc787126ac282390689b84160631","first_computed_at":"2026-05-18T02:26:24.483265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:24.483265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DxbUXE/ys1alxhTmZiYGNhtvDD4Pa3Aqp3ssgr+KCHb/a06nfV9L43fdUK3MhNmPj6JZ0Rn7S7nPptW8ipDfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:24.483993Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06841","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0abbf93d07c6baaff4db628ab0b4a5d6ddd6928327957036bb4471b185e2a11c","sha256:b7132a943ab25ec34ecec64f217093ec0b41ebe9c065484022fd91f9e6ffb532"],"state_sha256":"f7f5cc2738bb89cc6abd264715ff8bc69ce0b8f2e0db6352afb1a9eb8c3a138e"}