{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:DI6CIYRIW6MLMMKBYYPJV3TGNK","short_pith_number":"pith:DI6CIYRI","canonical_record":{"source":{"id":"0711.0361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2007-11-02T17:40:27Z","cross_cats_sorted":[],"title_canon_sha256":"6b5918a54fa7cd5ac1635ddf69bd0eea2a408e4e47bffbe6b3809848f961f8ed","abstract_canon_sha256":"a975eb9f48e2669510806841fcb8dce467078e2aa1c3da08d60af31b8addf15e"},"schema_version":"1.0"},"canonical_sha256":"1a3c246228b798b63141c61e9aee666ab5f8fda471637bfeb93729701e66e2f3","source":{"kind":"arxiv","id":"0711.0361","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.0361","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"arxiv_version","alias_value":"0711.0361v2","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.0361","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"pith_short_12","alias_value":"DI6CIYRIW6ML","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"pith_short_16","alias_value":"DI6CIYRIW6MLMMKB","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"pith_short_8","alias_value":"DI6CIYRI","created_at":"2026-07-04T17:27:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:DI6CIYRIW6MLMMKBYYPJV3TGNK","target":"record","payload":{"canonical_record":{"source":{"id":"0711.0361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2007-11-02T17:40:27Z","cross_cats_sorted":[],"title_canon_sha256":"6b5918a54fa7cd5ac1635ddf69bd0eea2a408e4e47bffbe6b3809848f961f8ed","abstract_canon_sha256":"a975eb9f48e2669510806841fcb8dce467078e2aa1c3da08d60af31b8addf15e"},"schema_version":"1.0"},"canonical_sha256":"1a3c246228b798b63141c61e9aee666ab5f8fda471637bfeb93729701e66e2f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:27:02.198150Z","signature_b64":"sKF1iYfkueN8/XX+nUxghRexSpDgpfK6u0klW9VgfEg79kOoBrtu5r1k/Aw6il6k+CJs/vNKlRjS9FLuymKVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a3c246228b798b63141c61e9aee666ab5f8fda471637bfeb93729701e66e2f3","last_reissued_at":"2026-07-04T17:27:02.197753Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:27:02.197753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0711.0361","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:27:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bR/ZP1CsW1pib3IrQ/JdIcNaPaN/ej+InW/iYTZ0gyaKhR2AO4gcgFxq59ozLAlEEeVOPyaNOM6V4Fy+ZecvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:32:17.708001Z"},"content_sha256":"cee09155af987eff720668c9e83025f448e1157a74de53e476c822b828f4bd0c","schema_version":"1.0","event_id":"sha256:cee09155af987eff720668c9e83025f448e1157a74de53e476c822b828f4bd0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:DI6CIYRIW6MLMMKBYYPJV3TGNK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the integration of Poisson homogeneous spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"F. Bonechi, M. Tarlini, N. Ciccoli, N. Staffolani","submitted_at":"2007-11-02T17:40:27Z","abstract_excerpt":"We study a reduction procedure for describing the symplectic groupoid of a Poisson homogeneous space obtained by quotient of a coisotropic subgroup. We perform it as a reduction of the Lu-Weinstein symplectic groupoid integrating Poisson Lie groups, that is suitable even for the non complete case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.0361","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0711.0361/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:27:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M1G/qxp19ftJ+4X0Lms8FlJdaLadwFciM8z8RdINJkZr9lzWQywWWOVohZpxnxKsZB1HxsvIdm9jv9JznNR8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:32:17.708398Z"},"content_sha256":"1e2190db5498b879b0414fc80992d775d90ccdd9e1893564858a656e41429eea","schema_version":"1.0","event_id":"sha256:1e2190db5498b879b0414fc80992d775d90ccdd9e1893564858a656e41429eea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DI6CIYRIW6MLMMKBYYPJV3TGNK/bundle.json","state_url":"https://pith.science/pith/DI6CIYRIW6MLMMKBYYPJV3TGNK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DI6CIYRIW6MLMMKBYYPJV3TGNK/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":"2026-07-04T19:32:17Z","links":{"resolver":"https://pith.science/pith/DI6CIYRIW6MLMMKBYYPJV3TGNK","bundle":"https://pith.science/pith/DI6CIYRIW6MLMMKBYYPJV3TGNK/bundle.json","state":"https://pith.science/pith/DI6CIYRIW6MLMMKBYYPJV3TGNK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DI6CIYRIW6MLMMKBYYPJV3TGNK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:DI6CIYRIW6MLMMKBYYPJV3TGNK","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":"a975eb9f48e2669510806841fcb8dce467078e2aa1c3da08d60af31b8addf15e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2007-11-02T17:40:27Z","title_canon_sha256":"6b5918a54fa7cd5ac1635ddf69bd0eea2a408e4e47bffbe6b3809848f961f8ed"},"schema_version":"1.0","source":{"id":"0711.0361","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.0361","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"arxiv_version","alias_value":"0711.0361v2","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.0361","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"pith_short_12","alias_value":"DI6CIYRIW6ML","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"pith_short_16","alias_value":"DI6CIYRIW6MLMMKB","created_at":"2026-07-04T17:27:02Z"},{"alias_kind":"pith_short_8","alias_value":"DI6CIYRI","created_at":"2026-07-04T17:27:02Z"}],"graph_snapshots":[{"event_id":"sha256:1e2190db5498b879b0414fc80992d775d90ccdd9e1893564858a656e41429eea","target":"graph","created_at":"2026-07-04T17:27:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0711.0361/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a reduction procedure for describing the symplectic groupoid of a Poisson homogeneous space obtained by quotient of a coisotropic subgroup. We perform it as a reduction of the Lu-Weinstein symplectic groupoid integrating Poisson Lie groups, that is suitable even for the non complete case.","authors_text":"F. Bonechi, M. Tarlini, N. Ciccoli, N. Staffolani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2007-11-02T17:40:27Z","title":"On the integration of Poisson homogeneous spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.0361","kind":"arxiv","version":2},"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:cee09155af987eff720668c9e83025f448e1157a74de53e476c822b828f4bd0c","target":"record","created_at":"2026-07-04T17:27:02Z","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":"a975eb9f48e2669510806841fcb8dce467078e2aa1c3da08d60af31b8addf15e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2007-11-02T17:40:27Z","title_canon_sha256":"6b5918a54fa7cd5ac1635ddf69bd0eea2a408e4e47bffbe6b3809848f961f8ed"},"schema_version":"1.0","source":{"id":"0711.0361","kind":"arxiv","version":2}},"canonical_sha256":"1a3c246228b798b63141c61e9aee666ab5f8fda471637bfeb93729701e66e2f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a3c246228b798b63141c61e9aee666ab5f8fda471637bfeb93729701e66e2f3","first_computed_at":"2026-07-04T17:27:02.197753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:27:02.197753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sKF1iYfkueN8/XX+nUxghRexSpDgpfK6u0klW9VgfEg79kOoBrtu5r1k/Aw6il6k+CJs/vNKlRjS9FLuymKVCA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:27:02.198150Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.0361","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cee09155af987eff720668c9e83025f448e1157a74de53e476c822b828f4bd0c","sha256:1e2190db5498b879b0414fc80992d775d90ccdd9e1893564858a656e41429eea"],"state_sha256":"b74ab8811c39aab16694c0afc457e8a069d91b97b59505cbdd5e792c68f3fead"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4bTBqAJ8T3jqUEn3VhLOS8EUbYFFA0Kw+fNztRJJvnk9NFXNeRF0EZNRAh8XJ4jf2bHbNCBjR1q9NTVjsMNmBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T19:32:17.710469Z","bundle_sha256":"c62c2af77648d732ea67a377db71a07cbf2925912073b8239f13517bc6467628"}}