{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NAKF64BTVRNR3XTOFNRCW4J35I","short_pith_number":"pith:NAKF64BT","canonical_record":{"source":{"id":"1705.00466","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-01T11:00:25Z","cross_cats_sorted":[],"title_canon_sha256":"2e71715b8fce25051b3413303b0719504a7701d83ea63f803f53a95e49ac3759","abstract_canon_sha256":"1e05332050971eeeadee5af3e5f3282c1c265623e790e6e2ad3e8c6524010324"},"schema_version":"1.0"},"canonical_sha256":"68145f7033ac5b1dde6e2b622b713bea31f9aecbd8a593bbc2c6a2abc5f49e59","source":{"kind":"arxiv","id":"1705.00466","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00466","created_at":"2026-05-18T00:31:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00466v2","created_at":"2026-05-18T00:31:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00466","created_at":"2026-05-18T00:31:31Z"},{"alias_kind":"pith_short_12","alias_value":"NAKF64BTVRNR","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NAKF64BTVRNR3XTO","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NAKF64BT","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NAKF64BTVRNR3XTOFNRCW4J35I","target":"record","payload":{"canonical_record":{"source":{"id":"1705.00466","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-01T11:00:25Z","cross_cats_sorted":[],"title_canon_sha256":"2e71715b8fce25051b3413303b0719504a7701d83ea63f803f53a95e49ac3759","abstract_canon_sha256":"1e05332050971eeeadee5af3e5f3282c1c265623e790e6e2ad3e8c6524010324"},"schema_version":"1.0"},"canonical_sha256":"68145f7033ac5b1dde6e2b622b713bea31f9aecbd8a593bbc2c6a2abc5f49e59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:31.177612Z","signature_b64":"VIlnEfkctqhFVDuabSCqHlpO0DtPyWvFdkc3/OjOYKboOHWENkKoSws2JwGYqPNDBZ8fCnStlbvRRvZma3OCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68145f7033ac5b1dde6e2b622b713bea31f9aecbd8a593bbc2c6a2abc5f49e59","last_reissued_at":"2026-05-18T00:31:31.176959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:31.176959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.00466","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":"2026-05-18T00:31:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n7aXjVuHMwBoAKaQlUgtKOhf49AZsvIDbPu6UZ3FZ/XdUY5E5FH6fhbs7LbmhTlX8+SxUTz+LcbyOFPyR91xBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:27:34.762743Z"},"content_sha256":"3b250d13582cdc8d111bf79b348cd1fe0fea057685b838eaac0267ced371c6c3","schema_version":"1.0","event_id":"sha256:3b250d13582cdc8d111bf79b348cd1fe0fea057685b838eaac0267ced371c6c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NAKF64BTVRNR3XTOFNRCW4J35I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbispaces as differentiable stratified spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jo\\~ao Nuno Mestre, Marius Crainic","submitted_at":"2017-05-01T11:00:25Z","abstract_excerpt":"We present some features of the smooth structure, and of the canonical stratification on the orbit space of a proper Lie groupoid. One of the main features is that of Morita invariance of these structures - it allows us to talk about the canonical structure of differentiable stratified space on the orbispace (an object analogous to a separated stack in algebraic geometry) presented by the proper Lie groupoid. The canonical smooth structure on an orbispace is studied mainly via Spallek's framework of differentiable spaces, and two alternative frameworks are then presented. For the canonical str"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00466","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":""},"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":"2026-05-18T00:31:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZkNA6lrXUjHBff19vgkM+27xmQRvXazqGTiNTjzMz5vR193O6hbpu4w3LxNzXAdfdnn8fB1ZbgfRdVie5hrjDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:27:34.763451Z"},"content_sha256":"2e840df6ad9f37a13d1b8448907f7058e9313bdec7ad97ef90179cad18c2c874","schema_version":"1.0","event_id":"sha256:2e840df6ad9f37a13d1b8448907f7058e9313bdec7ad97ef90179cad18c2c874"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NAKF64BTVRNR3XTOFNRCW4J35I/bundle.json","state_url":"https://pith.science/pith/NAKF64BTVRNR3XTOFNRCW4J35I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NAKF64BTVRNR3XTOFNRCW4J35I/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":"2026-05-24T04:27:34Z","links":{"resolver":"https://pith.science/pith/NAKF64BTVRNR3XTOFNRCW4J35I","bundle":"https://pith.science/pith/NAKF64BTVRNR3XTOFNRCW4J35I/bundle.json","state":"https://pith.science/pith/NAKF64BTVRNR3XTOFNRCW4J35I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NAKF64BTVRNR3XTOFNRCW4J35I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NAKF64BTVRNR3XTOFNRCW4J35I","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":"1e05332050971eeeadee5af3e5f3282c1c265623e790e6e2ad3e8c6524010324","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-01T11:00:25Z","title_canon_sha256":"2e71715b8fce25051b3413303b0719504a7701d83ea63f803f53a95e49ac3759"},"schema_version":"1.0","source":{"id":"1705.00466","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00466","created_at":"2026-05-18T00:31:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00466v2","created_at":"2026-05-18T00:31:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00466","created_at":"2026-05-18T00:31:31Z"},{"alias_kind":"pith_short_12","alias_value":"NAKF64BTVRNR","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NAKF64BTVRNR3XTO","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NAKF64BT","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:2e840df6ad9f37a13d1b8448907f7058e9313bdec7ad97ef90179cad18c2c874","target":"graph","created_at":"2026-05-18T00:31:31Z","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 present some features of the smooth structure, and of the canonical stratification on the orbit space of a proper Lie groupoid. One of the main features is that of Morita invariance of these structures - it allows us to talk about the canonical structure of differentiable stratified space on the orbispace (an object analogous to a separated stack in algebraic geometry) presented by the proper Lie groupoid. The canonical smooth structure on an orbispace is studied mainly via Spallek's framework of differentiable spaces, and two alternative frameworks are then presented. For the canonical str","authors_text":"Jo\\~ao Nuno Mestre, Marius Crainic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-01T11:00:25Z","title":"Orbispaces as differentiable stratified spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00466","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":"sha256:3b250d13582cdc8d111bf79b348cd1fe0fea057685b838eaac0267ced371c6c3","target":"record","created_at":"2026-05-18T00:31:31Z","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":"1e05332050971eeeadee5af3e5f3282c1c265623e790e6e2ad3e8c6524010324","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-01T11:00:25Z","title_canon_sha256":"2e71715b8fce25051b3413303b0719504a7701d83ea63f803f53a95e49ac3759"},"schema_version":"1.0","source":{"id":"1705.00466","kind":"arxiv","version":2}},"canonical_sha256":"68145f7033ac5b1dde6e2b622b713bea31f9aecbd8a593bbc2c6a2abc5f49e59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68145f7033ac5b1dde6e2b622b713bea31f9aecbd8a593bbc2c6a2abc5f49e59","first_computed_at":"2026-05-18T00:31:31.176959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:31.176959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VIlnEfkctqhFVDuabSCqHlpO0DtPyWvFdkc3/OjOYKboOHWENkKoSws2JwGYqPNDBZ8fCnStlbvRRvZma3OCDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:31.177612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00466","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b250d13582cdc8d111bf79b348cd1fe0fea057685b838eaac0267ced371c6c3","sha256:2e840df6ad9f37a13d1b8448907f7058e9313bdec7ad97ef90179cad18c2c874"],"state_sha256":"42e71befb7ca3e68839b0bf0fab85bd62c6efb3c90193732148d1efd877fa119"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QLhE1nP3yn8QFuFjTIRB0b7iAuDHdB6/OWmLaIm+SajIDF0iFBigzA6wno/GdsiNdnaV4W0fSzKvL3hzDaFtAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T04:27:34.767207Z","bundle_sha256":"f8ca054c5ba77af5a20315ccdab8b7423f96adfd1ab649e8e4ae8d10073289c1"}}