{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:P424FDQPMEVLVSYUTR6KQS7SDY","short_pith_number":"pith:P424FDQP","canonical_record":{"source":{"id":"1208.0648","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-03T03:22:55Z","cross_cats_sorted":[],"title_canon_sha256":"27c8ad8ba90a5c5758ab4233611ef9b2ad60cd8f2dd515d63375665e6badeefe","abstract_canon_sha256":"9de87e595cc34db74bc77d987b5931db4e5c02d4f4066b5fe6486aae861996b5"},"schema_version":"1.0"},"canonical_sha256":"7f35c28e0f612abacb149c7ca84bf21e3a45c9c01b0c275e08f1a8de7f175968","source":{"kind":"arxiv","id":"1208.0648","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0648","created_at":"2026-05-18T03:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0648v1","created_at":"2026-05-18T03:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0648","created_at":"2026-05-18T03:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"P424FDQPMEVL","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"P424FDQPMEVLVSYU","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"P424FDQP","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:P424FDQPMEVLVSYUTR6KQS7SDY","target":"record","payload":{"canonical_record":{"source":{"id":"1208.0648","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-03T03:22:55Z","cross_cats_sorted":[],"title_canon_sha256":"27c8ad8ba90a5c5758ab4233611ef9b2ad60cd8f2dd515d63375665e6badeefe","abstract_canon_sha256":"9de87e595cc34db74bc77d987b5931db4e5c02d4f4066b5fe6486aae861996b5"},"schema_version":"1.0"},"canonical_sha256":"7f35c28e0f612abacb149c7ca84bf21e3a45c9c01b0c275e08f1a8de7f175968","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:32.114014Z","signature_b64":"doMkI/V4nGJ4azz1SelR4VcqXWQiX87xSrbA0GFHJg7gzyz7U7N/F42Iu4TFp+JhwEg+NdYcJvyGYAH2sU0YDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f35c28e0f612abacb149c7ca84bf21e3a45c9c01b0c275e08f1a8de7f175968","last_reissued_at":"2026-05-18T03:49:32.113228Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:32.113228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.0648","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":"2026-05-18T03:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L1ylCtOyCh2F088wGGmRUHVWqOvAY7FzBYEaKhCcduHYd0FoB4zESXTmU12oGQP2lcyGA1R1RA8XeKDXSmBVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:40:16.691528Z"},"content_sha256":"6141f099b880d3095060dd032def74f904f6f7a3f9556fb1575952a58b55b509","schema_version":"1.0","event_id":"sha256:6141f099b880d3095060dd032def74f904f6f7a3f9556fb1575952a58b55b509"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:P424FDQPMEVLVSYUTR6KQS7SDY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Calculus and invariants on almost complex manifolds, including projective and conformal geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"A. Rod Gover, Pawel Nurowski","submitted_at":"2012-08-03T03:22:55Z","abstract_excerpt":"We construct a family of canonical connections and surrounding basic theory for almost complex manifolds that are equipped with an affine connection. This framework provides a uniform approach to treating a range of geometries. In particular we are able to construct an invariant and efficient calculus for conformal almost Hermitian geometries, and also for almost complex structures that are equipped with a projective structure. In the latter case we find a projectively invariant tensor the vanishing of which is necessary and sufficient for the existence of an almost complex connection compatib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0648","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":"2026-05-18T03:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uzQ02sMHogMoSYDlaNtBkOBvCXT0SOT9Tl+eSIpDcx6W9hmAqvA3wRzk9BdmFdB41Pfz7zq2yhPDtu9ZzqXACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:40:16.692155Z"},"content_sha256":"7a14fe4b14adaf93d59bd53c5cbcf62587206fb35f80a86ee49dd76508beb626","schema_version":"1.0","event_id":"sha256:7a14fe4b14adaf93d59bd53c5cbcf62587206fb35f80a86ee49dd76508beb626"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P424FDQPMEVLVSYUTR6KQS7SDY/bundle.json","state_url":"https://pith.science/pith/P424FDQPMEVLVSYUTR6KQS7SDY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P424FDQPMEVLVSYUTR6KQS7SDY/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":"2026-06-05T19:40:16Z","links":{"resolver":"https://pith.science/pith/P424FDQPMEVLVSYUTR6KQS7SDY","bundle":"https://pith.science/pith/P424FDQPMEVLVSYUTR6KQS7SDY/bundle.json","state":"https://pith.science/pith/P424FDQPMEVLVSYUTR6KQS7SDY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P424FDQPMEVLVSYUTR6KQS7SDY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:P424FDQPMEVLVSYUTR6KQS7SDY","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":"9de87e595cc34db74bc77d987b5931db4e5c02d4f4066b5fe6486aae861996b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-03T03:22:55Z","title_canon_sha256":"27c8ad8ba90a5c5758ab4233611ef9b2ad60cd8f2dd515d63375665e6badeefe"},"schema_version":"1.0","source":{"id":"1208.0648","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0648","created_at":"2026-05-18T03:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0648v1","created_at":"2026-05-18T03:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0648","created_at":"2026-05-18T03:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"P424FDQPMEVL","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"P424FDQPMEVLVSYU","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"P424FDQP","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:7a14fe4b14adaf93d59bd53c5cbcf62587206fb35f80a86ee49dd76508beb626","target":"graph","created_at":"2026-05-18T03:49:32Z","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 construct a family of canonical connections and surrounding basic theory for almost complex manifolds that are equipped with an affine connection. This framework provides a uniform approach to treating a range of geometries. In particular we are able to construct an invariant and efficient calculus for conformal almost Hermitian geometries, and also for almost complex structures that are equipped with a projective structure. In the latter case we find a projectively invariant tensor the vanishing of which is necessary and sufficient for the existence of an almost complex connection compatib","authors_text":"A. Rod Gover, Pawel Nurowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-03T03:22:55Z","title":"Calculus and invariants on almost complex manifolds, including projective and conformal geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0648","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":"sha256:6141f099b880d3095060dd032def74f904f6f7a3f9556fb1575952a58b55b509","target":"record","created_at":"2026-05-18T03:49:32Z","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":"9de87e595cc34db74bc77d987b5931db4e5c02d4f4066b5fe6486aae861996b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-03T03:22:55Z","title_canon_sha256":"27c8ad8ba90a5c5758ab4233611ef9b2ad60cd8f2dd515d63375665e6badeefe"},"schema_version":"1.0","source":{"id":"1208.0648","kind":"arxiv","version":1}},"canonical_sha256":"7f35c28e0f612abacb149c7ca84bf21e3a45c9c01b0c275e08f1a8de7f175968","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f35c28e0f612abacb149c7ca84bf21e3a45c9c01b0c275e08f1a8de7f175968","first_computed_at":"2026-05-18T03:49:32.113228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:32.113228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"doMkI/V4nGJ4azz1SelR4VcqXWQiX87xSrbA0GFHJg7gzyz7U7N/F42Iu4TFp+JhwEg+NdYcJvyGYAH2sU0YDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:32.114014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.0648","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6141f099b880d3095060dd032def74f904f6f7a3f9556fb1575952a58b55b509","sha256:7a14fe4b14adaf93d59bd53c5cbcf62587206fb35f80a86ee49dd76508beb626"],"state_sha256":"4f4d9653a37c06ee624f9ee377d05263f668d0e2519bb657d02430d4a8add87f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cwO7ly5tiofb+nacqfYUve6sTMT8JJBcnZ/2MWvwrhCB7dpGi1DarOwYIfeJ0ok9TO3Fi4zlKhYVMCp865m1Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:40:16.695782Z","bundle_sha256":"b596513d0fce3729bd3afa411b3d57cbdeaa02412da788ec5339dcf0b4d858a0"}}