{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JQIQQJT4E5W6MXDOIPQTTATKIK","short_pith_number":"pith:JQIQQJT4","canonical_record":{"source":{"id":"1412.7559","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-12-23T21:59:40Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"9b52dd8d6cfbd7624293850960ddeb3cec195a3ce7a97da603cf7ce9cd20f0e7","abstract_canon_sha256":"3bee2e8325e61465d9d43a608c4b7e96fb837abb41bf3bab485f5eaea021490e"},"schema_version":"1.0"},"canonical_sha256":"4c1108267c276de65c6e43e139826a428c8a0cc91d3ca3f1b850646bbe23b2ca","source":{"kind":"arxiv","id":"1412.7559","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7559","created_at":"2026-05-18T01:36:01Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7559v2","created_at":"2026-05-18T01:36:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7559","created_at":"2026-05-18T01:36:01Z"},{"alias_kind":"pith_short_12","alias_value":"JQIQQJT4E5W6","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JQIQQJT4E5W6MXDO","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JQIQQJT4","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JQIQQJT4E5W6MXDOIPQTTATKIK","target":"record","payload":{"canonical_record":{"source":{"id":"1412.7559","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-12-23T21:59:40Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"9b52dd8d6cfbd7624293850960ddeb3cec195a3ce7a97da603cf7ce9cd20f0e7","abstract_canon_sha256":"3bee2e8325e61465d9d43a608c4b7e96fb837abb41bf3bab485f5eaea021490e"},"schema_version":"1.0"},"canonical_sha256":"4c1108267c276de65c6e43e139826a428c8a0cc91d3ca3f1b850646bbe23b2ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:01.723105Z","signature_b64":"meXoQVl8xJO3pePfViP7HF45NxY3ywC1+WbfHyCn1ZhaaYlFGF8oDLFSd7KMKbFPyQs689E+F4tR5JcEn9T4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c1108267c276de65c6e43e139826a428c8a0cc91d3ca3f1b850646bbe23b2ca","last_reissued_at":"2026-05-18T01:36:01.722729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:01.722729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.7559","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":"2026-05-18T01:36:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kkCwtcfPRTs9VfpX+Mv0axoXucmfBfQoW5boBFGZnIi3srYtKi3T9YkoMQk1GpsNB88aPbgU/FxUiZkHjuShBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T02:56:38.884835Z"},"content_sha256":"5079bd50cc9f0bb79a5c61c5ed8007242df527586352fb81aad3166196c3e0c1","schema_version":"1.0","event_id":"sha256:5079bd50cc9f0bb79a5c61c5ed8007242df527586352fb81aad3166196c3e0c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JQIQQJT4E5W6MXDOIPQTTATKIK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"A. Rod Gover, Sean Curry","submitted_at":"2014-12-23T21:59:40Z","abstract_excerpt":"The following are expanded lecture notes for the course of eight one hour lectures given by the second author at the 2014 summer school Asymptotic Analysis in General Relativity held in Grenoble by the Institut Fourier. The first four lectures deal with conformal geometry and the conformal tractor calculus, taking as primary motivation the search for conformally invariant tensors and diffrerential operators. The final four lectures apply the conformal tractor calculus to the study of conformally compactified geometries, motivated by the conformal treatment of infinity in general relativity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7559","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":"2026-05-18T01:36:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qTktCnrIjpgNSsi8ytkIo5DgjFHy+L8TBUh9XgYn9BEq1JQsQG8sjgPCdtODKja7aNU/FyCIxzLpMxrBUXotBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T02:56:38.885519Z"},"content_sha256":"a5b59238117b78c4bae645b4861da1714c619d034eca653457eabc34c38d2660","schema_version":"1.0","event_id":"sha256:a5b59238117b78c4bae645b4861da1714c619d034eca653457eabc34c38d2660"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JQIQQJT4E5W6MXDOIPQTTATKIK/bundle.json","state_url":"https://pith.science/pith/JQIQQJT4E5W6MXDOIPQTTATKIK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JQIQQJT4E5W6MXDOIPQTTATKIK/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":"2026-05-23T02:56:38Z","links":{"resolver":"https://pith.science/pith/JQIQQJT4E5W6MXDOIPQTTATKIK","bundle":"https://pith.science/pith/JQIQQJT4E5W6MXDOIPQTTATKIK/bundle.json","state":"https://pith.science/pith/JQIQQJT4E5W6MXDOIPQTTATKIK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JQIQQJT4E5W6MXDOIPQTTATKIK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JQIQQJT4E5W6MXDOIPQTTATKIK","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":"3bee2e8325e61465d9d43a608c4b7e96fb837abb41bf3bab485f5eaea021490e","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-12-23T21:59:40Z","title_canon_sha256":"9b52dd8d6cfbd7624293850960ddeb3cec195a3ce7a97da603cf7ce9cd20f0e7"},"schema_version":"1.0","source":{"id":"1412.7559","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7559","created_at":"2026-05-18T01:36:01Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7559v2","created_at":"2026-05-18T01:36:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7559","created_at":"2026-05-18T01:36:01Z"},{"alias_kind":"pith_short_12","alias_value":"JQIQQJT4E5W6","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JQIQQJT4E5W6MXDO","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JQIQQJT4","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:a5b59238117b78c4bae645b4861da1714c619d034eca653457eabc34c38d2660","target":"graph","created_at":"2026-05-18T01:36:01Z","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":"The following are expanded lecture notes for the course of eight one hour lectures given by the second author at the 2014 summer school Asymptotic Analysis in General Relativity held in Grenoble by the Institut Fourier. The first four lectures deal with conformal geometry and the conformal tractor calculus, taking as primary motivation the search for conformally invariant tensors and diffrerential operators. The final four lectures apply the conformal tractor calculus to the study of conformally compactified geometries, motivated by the conformal treatment of infinity in general relativity.","authors_text":"A. Rod Gover, Sean Curry","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-12-23T21:59:40Z","title":"An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7559","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":"sha256:5079bd50cc9f0bb79a5c61c5ed8007242df527586352fb81aad3166196c3e0c1","target":"record","created_at":"2026-05-18T01:36:01Z","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":"3bee2e8325e61465d9d43a608c4b7e96fb837abb41bf3bab485f5eaea021490e","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-12-23T21:59:40Z","title_canon_sha256":"9b52dd8d6cfbd7624293850960ddeb3cec195a3ce7a97da603cf7ce9cd20f0e7"},"schema_version":"1.0","source":{"id":"1412.7559","kind":"arxiv","version":2}},"canonical_sha256":"4c1108267c276de65c6e43e139826a428c8a0cc91d3ca3f1b850646bbe23b2ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c1108267c276de65c6e43e139826a428c8a0cc91d3ca3f1b850646bbe23b2ca","first_computed_at":"2026-05-18T01:36:01.722729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:01.722729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"meXoQVl8xJO3pePfViP7HF45NxY3ywC1+WbfHyCn1ZhaaYlFGF8oDLFSd7KMKbFPyQs689E+F4tR5JcEn9T4Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:01.723105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7559","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5079bd50cc9f0bb79a5c61c5ed8007242df527586352fb81aad3166196c3e0c1","sha256:a5b59238117b78c4bae645b4861da1714c619d034eca653457eabc34c38d2660"],"state_sha256":"cd44da07ee63a246d5991ad6598ca14d3bee8e578e3eacdd778c2ab9ea19371a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ca+3Q+tBF3F+OPo0GGfo5XJdpZOwHxEBiaYfL3QkBRu959wt2uL2q97pXyz83yHOQycKHJjf+P3Sdu+DzScTDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T02:56:38.889159Z","bundle_sha256":"8e53496713337e6860d92acedc35403f6bb0d91c579cc11fc4ffce2b17652f97"}}