{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:67EYUU57OZ5YKD2NONOXJIN6VH","short_pith_number":"pith:67EYUU57","canonical_record":{"source":{"id":"1411.7807","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-28T10:45:34Z","cross_cats_sorted":[],"title_canon_sha256":"7ec9edf91c9e00e8bd5204e5aa89998ad3f257c51b71f217c726dcd961cf38c8","abstract_canon_sha256":"e214b5f7a74cd893d12c0798b80e19c5cb5110e7639dafcfbc7bbbb4bb7ab4f8"},"schema_version":"1.0"},"canonical_sha256":"f7c98a53bf767b850f4d735d74a1bea9c9398b043b4ac2a0f5fda40a43c5b974","source":{"kind":"arxiv","id":"1411.7807","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7807","created_at":"2026-05-18T00:52:32Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7807v3","created_at":"2026-05-18T00:52:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7807","created_at":"2026-05-18T00:52:32Z"},{"alias_kind":"pith_short_12","alias_value":"67EYUU57OZ5Y","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"67EYUU57OZ5YKD2N","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"67EYUU57","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:67EYUU57OZ5YKD2NONOXJIN6VH","target":"record","payload":{"canonical_record":{"source":{"id":"1411.7807","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-28T10:45:34Z","cross_cats_sorted":[],"title_canon_sha256":"7ec9edf91c9e00e8bd5204e5aa89998ad3f257c51b71f217c726dcd961cf38c8","abstract_canon_sha256":"e214b5f7a74cd893d12c0798b80e19c5cb5110e7639dafcfbc7bbbb4bb7ab4f8"},"schema_version":"1.0"},"canonical_sha256":"f7c98a53bf767b850f4d735d74a1bea9c9398b043b4ac2a0f5fda40a43c5b974","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:32.880791Z","signature_b64":"y+meyg3jPTX8MTMObZQsw82Zq90xSJc8IR47f0dOiEaiB3SUrfw70C6DSge0fUhl/eSBU3AKUCf+tjIT/gRkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7c98a53bf767b850f4d735d74a1bea9c9398b043b4ac2a0f5fda40a43c5b974","last_reissued_at":"2026-05-18T00:52:32.880359Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:32.880359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.7807","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":"2026-05-18T00:52:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T/iWfNBsM4ezlwiq7kslBu1leC6mBlNpluRNGLtga4e6ArTJYOvodmy7bxmM81Go9LUe0uUo/oLei/5R1uQQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:45:31.079908Z"},"content_sha256":"7b743c146bdf53f78bce24da70aea9e6d4bacae595c696786c8e57529b2abb35","schema_version":"1.0","event_id":"sha256:7b743c146bdf53f78bce24da70aea9e6d4bacae595c696786c8e57529b2abb35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:67EYUU57OZ5YKD2NONOXJIN6VH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral Invariants in Lagrangian Floer homology of open subset","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Darko Milinkovi\\'c, Jelena Kati\\'c, Jovana Nikoli\\'c","submitted_at":"2014-11-28T10:45:34Z","abstract_excerpt":"We define and investigate spectral invariants for Floer homology $HF(H,U:M)$ of an open subset $U\\subset M$ in $T^*M$, defined by Kasturirangan and Oh as a direct limit of Floer homologies of approximations. We define a module structure product on $HF(H,U:M)$ and prove the triangle inequality for invariants with respect to this product. We also prove the continuity of these invariants and compare them with spectral invariants for periodic orbits case in $T^*M$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7807","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":"2026-05-18T00:52:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kAzSV4K+v3P43EPiliAJ46bJT2dD4npFeBvqS8RybP6JafLe5IPoUpaDRyrd41T9Nsw6kCCzDrDf+uR+h1taCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:45:31.080242Z"},"content_sha256":"412ab8a3475f631f002b4c0995b3d2e66d4d3b8f30a597d41863aad27652bfbf","schema_version":"1.0","event_id":"sha256:412ab8a3475f631f002b4c0995b3d2e66d4d3b8f30a597d41863aad27652bfbf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/67EYUU57OZ5YKD2NONOXJIN6VH/bundle.json","state_url":"https://pith.science/pith/67EYUU57OZ5YKD2NONOXJIN6VH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/67EYUU57OZ5YKD2NONOXJIN6VH/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":"2026-06-29T20:45:31Z","links":{"resolver":"https://pith.science/pith/67EYUU57OZ5YKD2NONOXJIN6VH","bundle":"https://pith.science/pith/67EYUU57OZ5YKD2NONOXJIN6VH/bundle.json","state":"https://pith.science/pith/67EYUU57OZ5YKD2NONOXJIN6VH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/67EYUU57OZ5YKD2NONOXJIN6VH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:67EYUU57OZ5YKD2NONOXJIN6VH","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":"e214b5f7a74cd893d12c0798b80e19c5cb5110e7639dafcfbc7bbbb4bb7ab4f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-28T10:45:34Z","title_canon_sha256":"7ec9edf91c9e00e8bd5204e5aa89998ad3f257c51b71f217c726dcd961cf38c8"},"schema_version":"1.0","source":{"id":"1411.7807","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7807","created_at":"2026-05-18T00:52:32Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7807v3","created_at":"2026-05-18T00:52:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7807","created_at":"2026-05-18T00:52:32Z"},{"alias_kind":"pith_short_12","alias_value":"67EYUU57OZ5Y","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"67EYUU57OZ5YKD2N","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"67EYUU57","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:412ab8a3475f631f002b4c0995b3d2e66d4d3b8f30a597d41863aad27652bfbf","target":"graph","created_at":"2026-05-18T00:52:32Z","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 define and investigate spectral invariants for Floer homology $HF(H,U:M)$ of an open subset $U\\subset M$ in $T^*M$, defined by Kasturirangan and Oh as a direct limit of Floer homologies of approximations. We define a module structure product on $HF(H,U:M)$ and prove the triangle inequality for invariants with respect to this product. We also prove the continuity of these invariants and compare them with spectral invariants for periodic orbits case in $T^*M$.","authors_text":"Darko Milinkovi\\'c, Jelena Kati\\'c, Jovana Nikoli\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-28T10:45:34Z","title":"Spectral Invariants in Lagrangian Floer homology of open subset"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7807","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":"sha256:7b743c146bdf53f78bce24da70aea9e6d4bacae595c696786c8e57529b2abb35","target":"record","created_at":"2026-05-18T00:52:32Z","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":"e214b5f7a74cd893d12c0798b80e19c5cb5110e7639dafcfbc7bbbb4bb7ab4f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-28T10:45:34Z","title_canon_sha256":"7ec9edf91c9e00e8bd5204e5aa89998ad3f257c51b71f217c726dcd961cf38c8"},"schema_version":"1.0","source":{"id":"1411.7807","kind":"arxiv","version":3}},"canonical_sha256":"f7c98a53bf767b850f4d735d74a1bea9c9398b043b4ac2a0f5fda40a43c5b974","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7c98a53bf767b850f4d735d74a1bea9c9398b043b4ac2a0f5fda40a43c5b974","first_computed_at":"2026-05-18T00:52:32.880359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:32.880359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y+meyg3jPTX8MTMObZQsw82Zq90xSJc8IR47f0dOiEaiB3SUrfw70C6DSge0fUhl/eSBU3AKUCf+tjIT/gRkBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:32.880791Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7807","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b743c146bdf53f78bce24da70aea9e6d4bacae595c696786c8e57529b2abb35","sha256:412ab8a3475f631f002b4c0995b3d2e66d4d3b8f30a597d41863aad27652bfbf"],"state_sha256":"627a8b14ff6ab79b9b7c11c39110372720e6ffbd5a7a32f61476cf4d031fa444"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3lkKkgIDHWE2A7DjG36WKqADp9y6CyDfgufW53AhOlHJQ5exU+BnEDsSwLIM54linrX5YBmXq18mOLEUZu0EAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T20:45:31.082040Z","bundle_sha256":"e288e98aa298cbaf62be88dda73a32d571d59f8242a1d98702990e9773dc5c30"}}