{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:EXQIAO53QYZIUBZZNQRWC5JHNZ","short_pith_number":"pith:EXQIAO53","canonical_record":{"source":{"id":"1806.06356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-06-17T10:04:55Z","cross_cats_sorted":[],"title_canon_sha256":"3c97600455780e0337d573b8ea5ff8aa73b5e2b115e1ee9c86677189f5d43696","abstract_canon_sha256":"1560d18ff9bf3ef8f03e5da4503a1379ddfe143e7b5d64f6654a84adb38471d4"},"schema_version":"1.0"},"canonical_sha256":"25e0803bbb86328a07396c236175276e7e49832e8433ce9286740c603e790259","source":{"kind":"arxiv","id":"1806.06356","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06356","created_at":"2026-05-18T00:13:02Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06356v1","created_at":"2026-05-18T00:13:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06356","created_at":"2026-05-18T00:13:02Z"},{"alias_kind":"pith_short_12","alias_value":"EXQIAO53QYZI","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EXQIAO53QYZIUBZZ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EXQIAO53","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:EXQIAO53QYZIUBZZNQRWC5JHNZ","target":"record","payload":{"canonical_record":{"source":{"id":"1806.06356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-06-17T10:04:55Z","cross_cats_sorted":[],"title_canon_sha256":"3c97600455780e0337d573b8ea5ff8aa73b5e2b115e1ee9c86677189f5d43696","abstract_canon_sha256":"1560d18ff9bf3ef8f03e5da4503a1379ddfe143e7b5d64f6654a84adb38471d4"},"schema_version":"1.0"},"canonical_sha256":"25e0803bbb86328a07396c236175276e7e49832e8433ce9286740c603e790259","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:02.739353Z","signature_b64":"/LPlxF4wu4xLT11hN4CPs/4NRz91X4+gSqRO3PXHgEGnVyJEF7eTDagKFmO69DXQ4O7IQ+XBQSR6Whaiv65KAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25e0803bbb86328a07396c236175276e7e49832e8433ce9286740c603e790259","last_reissued_at":"2026-05-18T00:13:02.738670Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:02.738670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.06356","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":"2026-05-18T00:13:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fObLVsehNdfjLrw7IV+fjGGrB7pkA4J1YJMRHzHtgQABbh6ionuBBq+8vECTIdKHqsrrYUyN634FFVlTkSOzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:29:25.803577Z"},"content_sha256":"3c2d1022d13e095af2fd4f5a6caadf9f814de37afc38749c1b58ff9fba62496b","schema_version":"1.0","event_id":"sha256:3c2d1022d13e095af2fd4f5a6caadf9f814de37afc38749c1b58ff9fba62496b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:EXQIAO53QYZIUBZZNQRWC5JHNZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A homotopical viewpoint at the Poisson bracket invariants for tuples of sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Yaniv Ganor","submitted_at":"2018-06-17T10:04:55Z","abstract_excerpt":"We suggest a homotopical description of the Poisson bracket invariants for tuples of closed sets in symplectic manifolds. It implies that these invariants depend only on the union of the sets along with topological data."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06356","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":"2026-05-18T00:13:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i2GTLvVwdccI3p9pq6XoYUmPy/ole+mtMonRexFf8i6AZ0un3ZThS8lcojn+0jQ7kwVNmvy7hrY5tf/CMhX4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:29:25.803935Z"},"content_sha256":"9fb8eaf0d7b0768a22717bb55a896d5e503466fa3fdb0ffc13fae3d9a578f744","schema_version":"1.0","event_id":"sha256:9fb8eaf0d7b0768a22717bb55a896d5e503466fa3fdb0ffc13fae3d9a578f744"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EXQIAO53QYZIUBZZNQRWC5JHNZ/bundle.json","state_url":"https://pith.science/pith/EXQIAO53QYZIUBZZNQRWC5JHNZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EXQIAO53QYZIUBZZNQRWC5JHNZ/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":"2026-06-29T09:29:25Z","links":{"resolver":"https://pith.science/pith/EXQIAO53QYZIUBZZNQRWC5JHNZ","bundle":"https://pith.science/pith/EXQIAO53QYZIUBZZNQRWC5JHNZ/bundle.json","state":"https://pith.science/pith/EXQIAO53QYZIUBZZNQRWC5JHNZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EXQIAO53QYZIUBZZNQRWC5JHNZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EXQIAO53QYZIUBZZNQRWC5JHNZ","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":"1560d18ff9bf3ef8f03e5da4503a1379ddfe143e7b5d64f6654a84adb38471d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-06-17T10:04:55Z","title_canon_sha256":"3c97600455780e0337d573b8ea5ff8aa73b5e2b115e1ee9c86677189f5d43696"},"schema_version":"1.0","source":{"id":"1806.06356","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06356","created_at":"2026-05-18T00:13:02Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06356v1","created_at":"2026-05-18T00:13:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06356","created_at":"2026-05-18T00:13:02Z"},{"alias_kind":"pith_short_12","alias_value":"EXQIAO53QYZI","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EXQIAO53QYZIUBZZ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EXQIAO53","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:9fb8eaf0d7b0768a22717bb55a896d5e503466fa3fdb0ffc13fae3d9a578f744","target":"graph","created_at":"2026-05-18T00:13:02Z","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 suggest a homotopical description of the Poisson bracket invariants for tuples of closed sets in symplectic manifolds. It implies that these invariants depend only on the union of the sets along with topological data.","authors_text":"Yaniv Ganor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-06-17T10:04:55Z","title":"A homotopical viewpoint at the Poisson bracket invariants for tuples of sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06356","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":"sha256:3c2d1022d13e095af2fd4f5a6caadf9f814de37afc38749c1b58ff9fba62496b","target":"record","created_at":"2026-05-18T00:13:02Z","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":"1560d18ff9bf3ef8f03e5da4503a1379ddfe143e7b5d64f6654a84adb38471d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-06-17T10:04:55Z","title_canon_sha256":"3c97600455780e0337d573b8ea5ff8aa73b5e2b115e1ee9c86677189f5d43696"},"schema_version":"1.0","source":{"id":"1806.06356","kind":"arxiv","version":1}},"canonical_sha256":"25e0803bbb86328a07396c236175276e7e49832e8433ce9286740c603e790259","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25e0803bbb86328a07396c236175276e7e49832e8433ce9286740c603e790259","first_computed_at":"2026-05-18T00:13:02.738670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:02.738670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/LPlxF4wu4xLT11hN4CPs/4NRz91X4+gSqRO3PXHgEGnVyJEF7eTDagKFmO69DXQ4O7IQ+XBQSR6Whaiv65KAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:02.739353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06356","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c2d1022d13e095af2fd4f5a6caadf9f814de37afc38749c1b58ff9fba62496b","sha256:9fb8eaf0d7b0768a22717bb55a896d5e503466fa3fdb0ffc13fae3d9a578f744"],"state_sha256":"0f7d504f33f7edef73dac5e7b6fbbfac89353d99adbf8ad1adfbdde3f3c53b28"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tMc8YAbLcGNS0l+9lwin7LkpeAzn4/AQCnixlJB2gekLLArJOGrY+RRUey+rbZ6jGUU2OE1f4698yw9a6PM/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T09:29:25.805769Z","bundle_sha256":"fbc9db6bc95fd1b96bb8aae438151cf0c400606cb1369878a4169a7e842dcca0"}}