{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:37SFX4RBENAXU5DGKKIO3JMCEQ","short_pith_number":"pith:37SFX4RB","canonical_record":{"source":{"id":"1710.07749","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-10-21T03:47:27Z","cross_cats_sorted":[],"title_canon_sha256":"6ae6f878c89ebd647e3c9d43e73815ff7a530e27e560893af86e3e5816121b0f","abstract_canon_sha256":"05d51a485aa72bdaa3b95f40de726aedecbded868ababe5596ff5ee25cacbcdf"},"schema_version":"1.0"},"canonical_sha256":"dfe45bf22123417a74665290eda5822417d4e868ed48535c9459722b9da19518","source":{"kind":"arxiv","id":"1710.07749","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07749","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07749v3","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07749","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"pith_short_12","alias_value":"37SFX4RBENAX","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"37SFX4RBENAXU5DG","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"37SFX4RB","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:37SFX4RBENAXU5DGKKIO3JMCEQ","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07749","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-10-21T03:47:27Z","cross_cats_sorted":[],"title_canon_sha256":"6ae6f878c89ebd647e3c9d43e73815ff7a530e27e560893af86e3e5816121b0f","abstract_canon_sha256":"05d51a485aa72bdaa3b95f40de726aedecbded868ababe5596ff5ee25cacbcdf"},"schema_version":"1.0"},"canonical_sha256":"dfe45bf22123417a74665290eda5822417d4e868ed48535c9459722b9da19518","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:45.528729Z","signature_b64":"slylXTPqtv1py0MbQluhU3zkbKoIqxupHhU3SKhHA2TjzLkpADHZgnDt+MPpUlB3HymqgLvuWQ/Z3pgYzTa+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfe45bf22123417a74665290eda5822417d4e868ed48535c9459722b9da19518","last_reissued_at":"2026-05-18T00:02:45.528035Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:45.528035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07749","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OZBR4jQo68EzXRyNuhhYLxGoq923bT5TCFCYgdiRqNtvWMv6qYNCXPjNMcOuxm92RPyWITmU4CC7lIpEcD2oDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:39:06.880007Z"},"content_sha256":"fb7f8bcadceffdbd07794c9616e9fff07c523b3207933d567aa8954c9e38f22a","schema_version":"1.0","event_id":"sha256:fb7f8bcadceffdbd07794c9616e9fff07c523b3207933d567aa8954c9e38f22a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:37SFX4RBENAXU5DGKKIO3JMCEQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conley conjecture and local Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Erman Cineli","submitted_at":"2017-10-21T03:47:27Z","abstract_excerpt":"In this paper we connect algebraic properties of the pair-of-pants product in local Floer homology and Hamiltonian dynamics. We show that for an isolated periodic orbit the product is non-uniformly nilpotent and use this fact to give a simple proof of the Conley conjecture for closed manifolds with aspherical symplectic form. More precisely, we prove that on a closed symplectic manifold the mean action spectrum of a Hamiltonian diffeomorphism with isolated periodic orbits is infinite."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07749","kind":"arxiv","version":3},"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":"2026-05-18T00:02:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MZItKBFGLpSCDvbcA39TIWz1AFGQFEuEaCkNJ+D7bl9Urt8ewL0L9HoRj7kK2KdI5NyIETCuFYzvgov6M+9JCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:39:06.880367Z"},"content_sha256":"b6fc1710197ad288117ce013283a6c752e67043583f626d2c86544dfd1a32c22","schema_version":"1.0","event_id":"sha256:b6fc1710197ad288117ce013283a6c752e67043583f626d2c86544dfd1a32c22"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/37SFX4RBENAXU5DGKKIO3JMCEQ/bundle.json","state_url":"https://pith.science/pith/37SFX4RBENAXU5DGKKIO3JMCEQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/37SFX4RBENAXU5DGKKIO3JMCEQ/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":"2026-06-25T20:39:06Z","links":{"resolver":"https://pith.science/pith/37SFX4RBENAXU5DGKKIO3JMCEQ","bundle":"https://pith.science/pith/37SFX4RBENAXU5DGKKIO3JMCEQ/bundle.json","state":"https://pith.science/pith/37SFX4RBENAXU5DGKKIO3JMCEQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/37SFX4RBENAXU5DGKKIO3JMCEQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:37SFX4RBENAXU5DGKKIO3JMCEQ","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":"05d51a485aa72bdaa3b95f40de726aedecbded868ababe5596ff5ee25cacbcdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-10-21T03:47:27Z","title_canon_sha256":"6ae6f878c89ebd647e3c9d43e73815ff7a530e27e560893af86e3e5816121b0f"},"schema_version":"1.0","source":{"id":"1710.07749","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07749","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07749v3","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07749","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"pith_short_12","alias_value":"37SFX4RBENAX","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"37SFX4RBENAXU5DG","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"37SFX4RB","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:b6fc1710197ad288117ce013283a6c752e67043583f626d2c86544dfd1a32c22","target":"graph","created_at":"2026-05-18T00:02:45Z","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":"In this paper we connect algebraic properties of the pair-of-pants product in local Floer homology and Hamiltonian dynamics. We show that for an isolated periodic orbit the product is non-uniformly nilpotent and use this fact to give a simple proof of the Conley conjecture for closed manifolds with aspherical symplectic form. More precisely, we prove that on a closed symplectic manifold the mean action spectrum of a Hamiltonian diffeomorphism with isolated periodic orbits is infinite.","authors_text":"Erman Cineli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-10-21T03:47:27Z","title":"Conley conjecture and local Floer homology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07749","kind":"arxiv","version":3},"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:fb7f8bcadceffdbd07794c9616e9fff07c523b3207933d567aa8954c9e38f22a","target":"record","created_at":"2026-05-18T00:02:45Z","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":"05d51a485aa72bdaa3b95f40de726aedecbded868ababe5596ff5ee25cacbcdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-10-21T03:47:27Z","title_canon_sha256":"6ae6f878c89ebd647e3c9d43e73815ff7a530e27e560893af86e3e5816121b0f"},"schema_version":"1.0","source":{"id":"1710.07749","kind":"arxiv","version":3}},"canonical_sha256":"dfe45bf22123417a74665290eda5822417d4e868ed48535c9459722b9da19518","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfe45bf22123417a74665290eda5822417d4e868ed48535c9459722b9da19518","first_computed_at":"2026-05-18T00:02:45.528035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:45.528035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"slylXTPqtv1py0MbQluhU3zkbKoIqxupHhU3SKhHA2TjzLkpADHZgnDt+MPpUlB3HymqgLvuWQ/Z3pgYzTa+Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:45.528729Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07749","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb7f8bcadceffdbd07794c9616e9fff07c523b3207933d567aa8954c9e38f22a","sha256:b6fc1710197ad288117ce013283a6c752e67043583f626d2c86544dfd1a32c22"],"state_sha256":"d9a0d950d9eb062fe7f3e4419ee4d02525ea10c02376526f875643db1cc31063"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8o5wS6ClnEIyyXeCtQBZ1aiC8e5hbLvtKl1nxIZpLvuvO4dcKYlZh19POzzJ3fpGoMgF6tFUO9s1Dw9sPlC3Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T20:39:06.882291Z","bundle_sha256":"86cf79bd40e5c870f8124372e679d178b98b69f5fa4b952689b563f12f948ae2"}}