{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:AURNQWKZ5YKZOD5KNNYKEFEQX5","short_pith_number":"pith:AURNQWKZ","canonical_record":{"source":{"id":"1103.5193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-27T08:11:35Z","cross_cats_sorted":[],"title_canon_sha256":"8b78ac3165b039c9655a09646fb31483c71c2f46aa1d176fc395f761e9a3a690","abstract_canon_sha256":"d70ed537bb181be14ea7cf6f1775c44e3d8053d4a8b5f0c8ee9b37578764c56e"},"schema_version":"1.0"},"canonical_sha256":"0522d85959ee15970faa6b70a21490bf754880dedb5705cf1775d89795d5950a","source":{"kind":"arxiv","id":"1103.5193","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5193","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5193v1","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5193","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"pith_short_12","alias_value":"AURNQWKZ5YKZ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AURNQWKZ5YKZOD5K","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AURNQWKZ","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:AURNQWKZ5YKZOD5KNNYKEFEQX5","target":"record","payload":{"canonical_record":{"source":{"id":"1103.5193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-27T08:11:35Z","cross_cats_sorted":[],"title_canon_sha256":"8b78ac3165b039c9655a09646fb31483c71c2f46aa1d176fc395f761e9a3a690","abstract_canon_sha256":"d70ed537bb181be14ea7cf6f1775c44e3d8053d4a8b5f0c8ee9b37578764c56e"},"schema_version":"1.0"},"canonical_sha256":"0522d85959ee15970faa6b70a21490bf754880dedb5705cf1775d89795d5950a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:38.444455Z","signature_b64":"xcF9DEmSjMxNzX7SYEI3hXhHircQa3vuHQtbYZFZi7pyIZZbZv9Ry4D3hIAL4z7fh5HpJ+rSRzTcJe5y4iBzDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0522d85959ee15970faa6b70a21490bf754880dedb5705cf1775d89795d5950a","last_reissued_at":"2026-05-18T04:25:38.443982Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:38.443982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.5193","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":"2026-05-18T04:25:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8mEwgqbpt33GdD06E74RfP4KP9c3JFhy2UQzshrbkKVD7lkDRhKEqMFU1bI+m390sYyWNSNBzGoUrphhBggqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T17:55:45.945228Z"},"content_sha256":"dd4c3c0cba57c7672b9ff97316e27e9213b02d420862f3959fbb615a54e01752","schema_version":"1.0","event_id":"sha256:dd4c3c0cba57c7672b9ff97316e27e9213b02d420862f3959fbb615a54e01752"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:AURNQWKZ5YKZOD5KNNYKEFEQX5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Conley index for piecewise continuous maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Kaihua Wang, Xinchu Fu","submitted_at":"2011-03-27T08:11:35Z","abstract_excerpt":"This paper gives the definition of the Conley index for a piecewise continuous map, which is only well defined on compatible isolating neighborhoods with Wazewski property slightly weaker than continuous situation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5193","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":"2026-05-18T04:25:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/nEJNJAZvAYdN0iGyHN9BE1wQ7cmf7MitvuHSi0Guvv0Njnun86OD9iSjiiii4flBTvgy/Lzo/QEIud+YIajAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T17:55:45.945590Z"},"content_sha256":"d0b46134b7f5abf10da4034913cf91d1c5ced32ed90c5d7abd25671b2217e305","schema_version":"1.0","event_id":"sha256:d0b46134b7f5abf10da4034913cf91d1c5ced32ed90c5d7abd25671b2217e305"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AURNQWKZ5YKZOD5KNNYKEFEQX5/bundle.json","state_url":"https://pith.science/pith/AURNQWKZ5YKZOD5KNNYKEFEQX5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AURNQWKZ5YKZOD5KNNYKEFEQX5/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":"2026-06-22T17:55:45Z","links":{"resolver":"https://pith.science/pith/AURNQWKZ5YKZOD5KNNYKEFEQX5","bundle":"https://pith.science/pith/AURNQWKZ5YKZOD5KNNYKEFEQX5/bundle.json","state":"https://pith.science/pith/AURNQWKZ5YKZOD5KNNYKEFEQX5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AURNQWKZ5YKZOD5KNNYKEFEQX5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AURNQWKZ5YKZOD5KNNYKEFEQX5","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":"d70ed537bb181be14ea7cf6f1775c44e3d8053d4a8b5f0c8ee9b37578764c56e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-27T08:11:35Z","title_canon_sha256":"8b78ac3165b039c9655a09646fb31483c71c2f46aa1d176fc395f761e9a3a690"},"schema_version":"1.0","source":{"id":"1103.5193","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5193","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5193v1","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5193","created_at":"2026-05-18T04:25:38Z"},{"alias_kind":"pith_short_12","alias_value":"AURNQWKZ5YKZ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AURNQWKZ5YKZOD5K","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AURNQWKZ","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:d0b46134b7f5abf10da4034913cf91d1c5ced32ed90c5d7abd25671b2217e305","target":"graph","created_at":"2026-05-18T04:25:38Z","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":"This paper gives the definition of the Conley index for a piecewise continuous map, which is only well defined on compatible isolating neighborhoods with Wazewski property slightly weaker than continuous situation.","authors_text":"Kaihua Wang, Xinchu Fu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-27T08:11:35Z","title":"The Conley index for piecewise continuous maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5193","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:dd4c3c0cba57c7672b9ff97316e27e9213b02d420862f3959fbb615a54e01752","target":"record","created_at":"2026-05-18T04:25:38Z","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":"d70ed537bb181be14ea7cf6f1775c44e3d8053d4a8b5f0c8ee9b37578764c56e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-03-27T08:11:35Z","title_canon_sha256":"8b78ac3165b039c9655a09646fb31483c71c2f46aa1d176fc395f761e9a3a690"},"schema_version":"1.0","source":{"id":"1103.5193","kind":"arxiv","version":1}},"canonical_sha256":"0522d85959ee15970faa6b70a21490bf754880dedb5705cf1775d89795d5950a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0522d85959ee15970faa6b70a21490bf754880dedb5705cf1775d89795d5950a","first_computed_at":"2026-05-18T04:25:38.443982Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:38.443982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xcF9DEmSjMxNzX7SYEI3hXhHircQa3vuHQtbYZFZi7pyIZZbZv9Ry4D3hIAL4z7fh5HpJ+rSRzTcJe5y4iBzDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:38.444455Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5193","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd4c3c0cba57c7672b9ff97316e27e9213b02d420862f3959fbb615a54e01752","sha256:d0b46134b7f5abf10da4034913cf91d1c5ced32ed90c5d7abd25671b2217e305"],"state_sha256":"d1ebef48d7fa5df8a30d96ba368e5df518600c749e053f89a0f1de6114720ef2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P05K8Jzv3FrnPVgECxRDweQoXk43kchl1XQ9j7ycAZCXNooARgIpMwWLyFg3QkR5mrjsHgPQuHxE3uKj+ns0DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T17:55:45.948007Z","bundle_sha256":"2f36ac6c648f209b7ab3f9e45e009934553c7d3917356ec9415194ba22410285"}}