{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:S7E5ZAKQOKF6AURTGFWKJT3W27","short_pith_number":"pith:S7E5ZAKQ","canonical_record":{"source":{"id":"1106.3031","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-15T17:30:30Z","cross_cats_sorted":[],"title_canon_sha256":"66c98ff1ac8c78188ad03785384cbc08eebefb250d46e1b59388502b4081c824","abstract_canon_sha256":"49704009ca50badc4995e28df595a11639ad79fcccd9c54a0721a266e1379b91"},"schema_version":"1.0"},"canonical_sha256":"97c9dc8150728be05233316ca4cf76d7c92111823ab61215ea5b63bcf8c7c41b","source":{"kind":"arxiv","id":"1106.3031","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3031","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3031v2","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3031","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"S7E5ZAKQOKF6","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"S7E5ZAKQOKF6AURT","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"S7E5ZAKQ","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:S7E5ZAKQOKF6AURTGFWKJT3W27","target":"record","payload":{"canonical_record":{"source":{"id":"1106.3031","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-15T17:30:30Z","cross_cats_sorted":[],"title_canon_sha256":"66c98ff1ac8c78188ad03785384cbc08eebefb250d46e1b59388502b4081c824","abstract_canon_sha256":"49704009ca50badc4995e28df595a11639ad79fcccd9c54a0721a266e1379b91"},"schema_version":"1.0"},"canonical_sha256":"97c9dc8150728be05233316ca4cf76d7c92111823ab61215ea5b63bcf8c7c41b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:17.540486Z","signature_b64":"Xbv1CAWpt9SupoO9+wRjU90Isw15V4EQXDkMhSwDfWDxGWbjEaygz5OeNgBsrvHCkHdcZa3fRmelGje+IKS1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97c9dc8150728be05233316ca4cf76d7c92111823ab61215ea5b63bcf8c7c41b","last_reissued_at":"2026-05-18T04:06:17.539718Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:17.539718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.3031","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":"2026-05-18T04:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tQSmyF8wUhirLP1BcPazvvjnuE04qNGsxyox+bZGi2bnxsGfFGMQMk2edzwhEG6ZiZr6Rr9UTzGo8RqJ8vw/Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:54:40.687447Z"},"content_sha256":"f60dd27d77f2994d45cbd80839114d5cf89a2d5c3fb861e66126e2c378b1e4f2","schema_version":"1.0","event_id":"sha256:f60dd27d77f2994d45cbd80839114d5cf89a2d5c3fb861e66126e2c378b1e4f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:S7E5ZAKQOKF6AURTGFWKJT3W27","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weyl Geometry as Characterization of Space-Time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"F. P. Poulis, J. M. Salim","submitted_at":"2011-06-15T17:30:30Z","abstract_excerpt":"Motivated by an axiomatic approach to characterize space-time it is investigated a reformulation of Einstein's gravity where the pseudo-riemannian geometry is substituted by a Weyl one. It is presented the main properties of the Weyl geometry and it is shown that it gives extra contributions to the trajectories of test particles, serving as one more motivation to study general relativity in Weyl geometry. It is introduced its variational formalism and it is established the coupling with other physical fields in such a way that the theory acquires a gauge symmetry for the geometrical fields. It"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3031","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":"2026-05-18T04:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5M+DcWTMo5r7mF1n49OlNDtthSG3Xn/RO7NIr2baWwJ5NOOtcULTUBmjQn7HX1dhlOpY78DM+LuzisUpP4+/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:54:40.688074Z"},"content_sha256":"365cbfa780da916ec13c45b816afd2087cfa32f6e0b8f169d0d3b4c278554292","schema_version":"1.0","event_id":"sha256:365cbfa780da916ec13c45b816afd2087cfa32f6e0b8f169d0d3b4c278554292"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S7E5ZAKQOKF6AURTGFWKJT3W27/bundle.json","state_url":"https://pith.science/pith/S7E5ZAKQOKF6AURTGFWKJT3W27/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S7E5ZAKQOKF6AURTGFWKJT3W27/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":"2026-06-06T22:54:40Z","links":{"resolver":"https://pith.science/pith/S7E5ZAKQOKF6AURTGFWKJT3W27","bundle":"https://pith.science/pith/S7E5ZAKQOKF6AURTGFWKJT3W27/bundle.json","state":"https://pith.science/pith/S7E5ZAKQOKF6AURTGFWKJT3W27/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S7E5ZAKQOKF6AURTGFWKJT3W27/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:S7E5ZAKQOKF6AURTGFWKJT3W27","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":"49704009ca50badc4995e28df595a11639ad79fcccd9c54a0721a266e1379b91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-15T17:30:30Z","title_canon_sha256":"66c98ff1ac8c78188ad03785384cbc08eebefb250d46e1b59388502b4081c824"},"schema_version":"1.0","source":{"id":"1106.3031","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3031","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3031v2","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3031","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"S7E5ZAKQOKF6","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"S7E5ZAKQOKF6AURT","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"S7E5ZAKQ","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:365cbfa780da916ec13c45b816afd2087cfa32f6e0b8f169d0d3b4c278554292","target":"graph","created_at":"2026-05-18T04:06:17Z","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":"Motivated by an axiomatic approach to characterize space-time it is investigated a reformulation of Einstein's gravity where the pseudo-riemannian geometry is substituted by a Weyl one. It is presented the main properties of the Weyl geometry and it is shown that it gives extra contributions to the trajectories of test particles, serving as one more motivation to study general relativity in Weyl geometry. It is introduced its variational formalism and it is established the coupling with other physical fields in such a way that the theory acquires a gauge symmetry for the geometrical fields. It","authors_text":"F. P. Poulis, J. M. Salim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-15T17:30:30Z","title":"Weyl Geometry as Characterization of Space-Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3031","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:f60dd27d77f2994d45cbd80839114d5cf89a2d5c3fb861e66126e2c378b1e4f2","target":"record","created_at":"2026-05-18T04:06:17Z","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":"49704009ca50badc4995e28df595a11639ad79fcccd9c54a0721a266e1379b91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-15T17:30:30Z","title_canon_sha256":"66c98ff1ac8c78188ad03785384cbc08eebefb250d46e1b59388502b4081c824"},"schema_version":"1.0","source":{"id":"1106.3031","kind":"arxiv","version":2}},"canonical_sha256":"97c9dc8150728be05233316ca4cf76d7c92111823ab61215ea5b63bcf8c7c41b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97c9dc8150728be05233316ca4cf76d7c92111823ab61215ea5b63bcf8c7c41b","first_computed_at":"2026-05-18T04:06:17.539718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:17.539718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xbv1CAWpt9SupoO9+wRjU90Isw15V4EQXDkMhSwDfWDxGWbjEaygz5OeNgBsrvHCkHdcZa3fRmelGje+IKS1DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:17.540486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3031","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f60dd27d77f2994d45cbd80839114d5cf89a2d5c3fb861e66126e2c378b1e4f2","sha256:365cbfa780da916ec13c45b816afd2087cfa32f6e0b8f169d0d3b4c278554292"],"state_sha256":"3d1f430d4d28cf41ca1e4598faa916616fd2f737a165d98b8964f852bee91154"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PYDDRpq/w6stDbBHG8jec4YagR6T5ankyoczx7fY5Rih77ABCVLVfXmK8df4a17mcmary+6igYrlEO3tU7aqAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T22:54:40.691496Z","bundle_sha256":"f37383b388fabebf1120daff21e5cb66a96138cad6f0426573566dc9a9ce2472"}}