{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JECH3TMAGB2QGA55XUY2NMZSAF","short_pith_number":"pith:JECH3TMA","canonical_record":{"source":{"id":"1408.4779","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-20T19:45:23Z","cross_cats_sorted":["math.DG","math.DS"],"title_canon_sha256":"5222ca1d98bca885050588399ac454578807bdd9dccc54ceae46ff01f151e67d","abstract_canon_sha256":"e01fb257dd91d108ed383d60007fc67c2ff82d95dd701eb19a953ee16d0fbf81"},"schema_version":"1.0"},"canonical_sha256":"49047dcd8030750303bdbd31a6b3320152ad3a838419f9220e4c98c95a9f8daa","source":{"kind":"arxiv","id":"1408.4779","version":8},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4779","created_at":"2026-05-18T00:55:17Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4779v8","created_at":"2026-05-18T00:55:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4779","created_at":"2026-05-18T00:55:17Z"},{"alias_kind":"pith_short_12","alias_value":"JECH3TMAGB2Q","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JECH3TMAGB2QGA55","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JECH3TMA","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JECH3TMAGB2QGA55XUY2NMZSAF","target":"record","payload":{"canonical_record":{"source":{"id":"1408.4779","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-20T19:45:23Z","cross_cats_sorted":["math.DG","math.DS"],"title_canon_sha256":"5222ca1d98bca885050588399ac454578807bdd9dccc54ceae46ff01f151e67d","abstract_canon_sha256":"e01fb257dd91d108ed383d60007fc67c2ff82d95dd701eb19a953ee16d0fbf81"},"schema_version":"1.0"},"canonical_sha256":"49047dcd8030750303bdbd31a6b3320152ad3a838419f9220e4c98c95a9f8daa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:17.834245Z","signature_b64":"n/p8bdRltND9TheDEpfT6WOsPeLslx4qhaMtQ/o1n8h9dAiMD8u+VIMsL9PrV8zL2vUHRbnG3Lb3GDFnC1+1Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49047dcd8030750303bdbd31a6b3320152ad3a838419f9220e4c98c95a9f8daa","last_reissued_at":"2026-05-18T00:55:17.833653Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:17.833653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.4779","source_version":8,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:55:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"99/cd5+cV6CYxtSb9XMAxgH+Pn4zAt0qewgRpqhf2c5INyfWQIwMjW0EDyBgLmUmxa2tb7AQaFAiQY/2y+0TDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T18:57:58.665913Z"},"content_sha256":"474cc85d1bfc924fe2dd26793553ea8029fc1c199df0a384109b11a107a64062","schema_version":"1.0","event_id":"sha256:474cc85d1bfc924fe2dd26793553ea8029fc1c199df0a384109b11a107a64062"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JECH3TMAGB2QGA55XUY2NMZSAF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A universal Riemannian foliated space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.DS"],"primary_cat":"math.GT","authors_text":"Alberto Candel, Jes\\'us A. \\'Alvarez L\\'opez, Ram\\'on Barral Lij\\'o","submitted_at":"2014-08-20T19:45:23Z","abstract_excerpt":"It is proved that the isometry classes of pointed connected complete Riemannian $n$-manifolds form a Polish space, $\\mathcal{M}_*^\\infty(n)$, with the topology described by the $C^\\infty$ convergence of manifolds. This space has a canonical partition into sets defined by varying the distinguished point into each manifold. The locally non-periodic manifolds define an open dense subspace $\\mathcal{M}_{*,\\text{lnp}}^\\infty(n)\\subset\\mathcal{M}_*^\\infty(n)$, which becomes a $C^\\infty$ foliated space with the restriction of the canonical partition. Its leaves without holonomy form the subspace $\\ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4779","kind":"arxiv","version":8},"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":"2026-05-18T00:55:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vcVjvNSooN9n4vTf0EjExl9ORatMTiIeTXUjuhRjvJU+iuJ1Q46/6TPVe3sd1+jSnydELZeigaZbZOLsyMBgBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T18:57:58.666262Z"},"content_sha256":"50f8d7729de0df6b1888fd45f5415e2deb44cbe31a7cc780ab7465f7917408e1","schema_version":"1.0","event_id":"sha256:50f8d7729de0df6b1888fd45f5415e2deb44cbe31a7cc780ab7465f7917408e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JECH3TMAGB2QGA55XUY2NMZSAF/bundle.json","state_url":"https://pith.science/pith/JECH3TMAGB2QGA55XUY2NMZSAF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JECH3TMAGB2QGA55XUY2NMZSAF/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":"2026-07-01T18:57:58Z","links":{"resolver":"https://pith.science/pith/JECH3TMAGB2QGA55XUY2NMZSAF","bundle":"https://pith.science/pith/JECH3TMAGB2QGA55XUY2NMZSAF/bundle.json","state":"https://pith.science/pith/JECH3TMAGB2QGA55XUY2NMZSAF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JECH3TMAGB2QGA55XUY2NMZSAF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JECH3TMAGB2QGA55XUY2NMZSAF","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":"e01fb257dd91d108ed383d60007fc67c2ff82d95dd701eb19a953ee16d0fbf81","cross_cats_sorted":["math.DG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-20T19:45:23Z","title_canon_sha256":"5222ca1d98bca885050588399ac454578807bdd9dccc54ceae46ff01f151e67d"},"schema_version":"1.0","source":{"id":"1408.4779","kind":"arxiv","version":8}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4779","created_at":"2026-05-18T00:55:17Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4779v8","created_at":"2026-05-18T00:55:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4779","created_at":"2026-05-18T00:55:17Z"},{"alias_kind":"pith_short_12","alias_value":"JECH3TMAGB2Q","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JECH3TMAGB2QGA55","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JECH3TMA","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:50f8d7729de0df6b1888fd45f5415e2deb44cbe31a7cc780ab7465f7917408e1","target":"graph","created_at":"2026-05-18T00:55:17Z","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":"It is proved that the isometry classes of pointed connected complete Riemannian $n$-manifolds form a Polish space, $\\mathcal{M}_*^\\infty(n)$, with the topology described by the $C^\\infty$ convergence of manifolds. This space has a canonical partition into sets defined by varying the distinguished point into each manifold. The locally non-periodic manifolds define an open dense subspace $\\mathcal{M}_{*,\\text{lnp}}^\\infty(n)\\subset\\mathcal{M}_*^\\infty(n)$, which becomes a $C^\\infty$ foliated space with the restriction of the canonical partition. Its leaves without holonomy form the subspace $\\ma","authors_text":"Alberto Candel, Jes\\'us A. \\'Alvarez L\\'opez, Ram\\'on Barral Lij\\'o","cross_cats":["math.DG","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-20T19:45:23Z","title":"A universal Riemannian foliated space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4779","kind":"arxiv","version":8},"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":"sha256:474cc85d1bfc924fe2dd26793553ea8029fc1c199df0a384109b11a107a64062","target":"record","created_at":"2026-05-18T00:55:17Z","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":"e01fb257dd91d108ed383d60007fc67c2ff82d95dd701eb19a953ee16d0fbf81","cross_cats_sorted":["math.DG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-20T19:45:23Z","title_canon_sha256":"5222ca1d98bca885050588399ac454578807bdd9dccc54ceae46ff01f151e67d"},"schema_version":"1.0","source":{"id":"1408.4779","kind":"arxiv","version":8}},"canonical_sha256":"49047dcd8030750303bdbd31a6b3320152ad3a838419f9220e4c98c95a9f8daa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49047dcd8030750303bdbd31a6b3320152ad3a838419f9220e4c98c95a9f8daa","first_computed_at":"2026-05-18T00:55:17.833653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:17.833653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n/p8bdRltND9TheDEpfT6WOsPeLslx4qhaMtQ/o1n8h9dAiMD8u+VIMsL9PrV8zL2vUHRbnG3Lb3GDFnC1+1Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:17.834245Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.4779","source_kind":"arxiv","source_version":8}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:474cc85d1bfc924fe2dd26793553ea8029fc1c199df0a384109b11a107a64062","sha256:50f8d7729de0df6b1888fd45f5415e2deb44cbe31a7cc780ab7465f7917408e1"],"state_sha256":"0772560a8a78c9070583c16e6bdcaaa303367f16903b055b1c4a7f20266150cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8/FvkxJdgfm+Ivcnn0CdIeQ3Jmc68EgHA40Yo91E1+fN/EKe6Z2TX0/Fpk363BF8JJ9kQ6P9H+unOwocYgxJDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T18:57:58.668233Z","bundle_sha256":"35247d5dffcf17ee832402fa206218757234000b8311032d20c02207337a0dee"}}