{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:NN5UA2GIRE4CMNI4JOSOIDCESS","short_pith_number":"pith:NN5UA2GI","canonical_record":{"source":{"id":"1010.5285","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-25T23:17:06Z","cross_cats_sorted":[],"title_canon_sha256":"49190e242071b1a96765e27aac221a2e690d8242bd7ec11acca61a1a54b64371","abstract_canon_sha256":"f07db0ea3afea6635dce454737373eb8b000f66a8058eb96b0088fe8c515f015"},"schema_version":"1.0"},"canonical_sha256":"6b7b4068c8893826351c4ba4e40c449495018d5244671cc2165a9959a2d92a87","source":{"kind":"arxiv","id":"1010.5285","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5285","created_at":"2026-05-18T04:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5285v1","created_at":"2026-05-18T04:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5285","created_at":"2026-05-18T04:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"NN5UA2GIRE4C","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NN5UA2GIRE4CMNI4","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NN5UA2GI","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:NN5UA2GIRE4CMNI4JOSOIDCESS","target":"record","payload":{"canonical_record":{"source":{"id":"1010.5285","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-25T23:17:06Z","cross_cats_sorted":[],"title_canon_sha256":"49190e242071b1a96765e27aac221a2e690d8242bd7ec11acca61a1a54b64371","abstract_canon_sha256":"f07db0ea3afea6635dce454737373eb8b000f66a8058eb96b0088fe8c515f015"},"schema_version":"1.0"},"canonical_sha256":"6b7b4068c8893826351c4ba4e40c449495018d5244671cc2165a9959a2d92a87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:39.107601Z","signature_b64":"6eFab/nR77zU95SLAdk+dx0OrexFch8kZjdOaxrSpkx9CWV61xWMusoGuQ0KkkptqUOnd4MKmhaL2qjv/QbeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b7b4068c8893826351c4ba4e40c449495018d5244671cc2165a9959a2d92a87","last_reissued_at":"2026-05-18T04:38:39.106915Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:39.106915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.5285","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":"2026-05-18T04:38:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CWFbamUwRERiEomPSUEWH+W6s/ogmkMJ+rk/g14i//2lROqnPdEfzH2mDuTdUZtnmI5CmGTcj9mIZl0XHIDFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:50:52.061888Z"},"content_sha256":"255e6ef6f658e89836b91542ac31c018b306c02f28e965068b3cf2b5a49d5380","schema_version":"1.0","event_id":"sha256:255e6ef6f658e89836b91542ac31c018b306c02f28e965068b3cf2b5a49d5380"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:NN5UA2GIRE4CMNI4JOSOIDCESS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moduli Space of General Connections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Stanislav Dubrovskiy","submitted_at":"2010-10-25T23:17:06Z","abstract_excerpt":"We consider local invariants of general connections (with torsion). The group of origin-preserving diffeomorphisms acts on a space of jets of general connections. Dimensions of moduli spaces of generic connections are calculated. Poincar\\'e series of the geometric structure of connection is constructed, and shown to be a rational function, confirming the finiteness assertion of Tresse."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5285","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":"2026-05-18T04:38:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"10IhstxgozIrgts0ij9jxPyClQBnm2YdGiQOUYulzz+NMIugQToaafEAo8VlrZ2ClMR9aDMIS0t+EQ3EH8IwAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:50:52.062226Z"},"content_sha256":"c90115467bc33502c73d78357b491d3dff3637e8f4dab1c8380f98fb9fd1a754","schema_version":"1.0","event_id":"sha256:c90115467bc33502c73d78357b491d3dff3637e8f4dab1c8380f98fb9fd1a754"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NN5UA2GIRE4CMNI4JOSOIDCESS/bundle.json","state_url":"https://pith.science/pith/NN5UA2GIRE4CMNI4JOSOIDCESS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NN5UA2GIRE4CMNI4JOSOIDCESS/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":"2026-06-26T13:50:52Z","links":{"resolver":"https://pith.science/pith/NN5UA2GIRE4CMNI4JOSOIDCESS","bundle":"https://pith.science/pith/NN5UA2GIRE4CMNI4JOSOIDCESS/bundle.json","state":"https://pith.science/pith/NN5UA2GIRE4CMNI4JOSOIDCESS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NN5UA2GIRE4CMNI4JOSOIDCESS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NN5UA2GIRE4CMNI4JOSOIDCESS","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":"f07db0ea3afea6635dce454737373eb8b000f66a8058eb96b0088fe8c515f015","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-25T23:17:06Z","title_canon_sha256":"49190e242071b1a96765e27aac221a2e690d8242bd7ec11acca61a1a54b64371"},"schema_version":"1.0","source":{"id":"1010.5285","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5285","created_at":"2026-05-18T04:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5285v1","created_at":"2026-05-18T04:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5285","created_at":"2026-05-18T04:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"NN5UA2GIRE4C","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NN5UA2GIRE4CMNI4","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NN5UA2GI","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:c90115467bc33502c73d78357b491d3dff3637e8f4dab1c8380f98fb9fd1a754","target":"graph","created_at":"2026-05-18T04:38:39Z","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 consider local invariants of general connections (with torsion). The group of origin-preserving diffeomorphisms acts on a space of jets of general connections. Dimensions of moduli spaces of generic connections are calculated. Poincar\\'e series of the geometric structure of connection is constructed, and shown to be a rational function, confirming the finiteness assertion of Tresse.","authors_text":"Stanislav Dubrovskiy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-25T23:17:06Z","title":"Moduli Space of General Connections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5285","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":"sha256:255e6ef6f658e89836b91542ac31c018b306c02f28e965068b3cf2b5a49d5380","target":"record","created_at":"2026-05-18T04:38:39Z","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":"f07db0ea3afea6635dce454737373eb8b000f66a8058eb96b0088fe8c515f015","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-25T23:17:06Z","title_canon_sha256":"49190e242071b1a96765e27aac221a2e690d8242bd7ec11acca61a1a54b64371"},"schema_version":"1.0","source":{"id":"1010.5285","kind":"arxiv","version":1}},"canonical_sha256":"6b7b4068c8893826351c4ba4e40c449495018d5244671cc2165a9959a2d92a87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b7b4068c8893826351c4ba4e40c449495018d5244671cc2165a9959a2d92a87","first_computed_at":"2026-05-18T04:38:39.106915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:39.106915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6eFab/nR77zU95SLAdk+dx0OrexFch8kZjdOaxrSpkx9CWV61xWMusoGuQ0KkkptqUOnd4MKmhaL2qjv/QbeBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:39.107601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5285","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:255e6ef6f658e89836b91542ac31c018b306c02f28e965068b3cf2b5a49d5380","sha256:c90115467bc33502c73d78357b491d3dff3637e8f4dab1c8380f98fb9fd1a754"],"state_sha256":"e363558e351317d2993c41608b4c4a9ca9093bb54c9b40cf1bcaed7c9fd5b1f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1OtojBSAGfukqLyVlrKdZy7rLCFhrZNd05wfD0ekaY8hKFOb/mUIN6v/Ooh27uZUIS6o+DZwz9P9xLCPEHIaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T13:50:52.064415Z","bundle_sha256":"4f60e0ac8c03043586055930c20cc9c9ddac16b236b9fce9794d1f24315176e0"}}