{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UIO76IHPQHPP54R6C7STZHXRUS","short_pith_number":"pith:UIO76IHP","canonical_record":{"source":{"id":"1206.3689","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-16T18:44:21Z","cross_cats_sorted":[],"title_canon_sha256":"1218cf130c23e5b13d1169e0e72783423c0b2e4604929ecb0979642d2d61fe8e","abstract_canon_sha256":"679a9c4bd26fd2ac09fa77e5ad18710ab2f18b61ef028941c71531474f71058e"},"schema_version":"1.0"},"canonical_sha256":"a21dff20ef81defef23e17e53c9ef1a4aa2c4dcef0871e0593b75ed98bc11c68","source":{"kind":"arxiv","id":"1206.3689","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.3689","created_at":"2026-05-18T03:53:19Z"},{"alias_kind":"arxiv_version","alias_value":"1206.3689v1","created_at":"2026-05-18T03:53:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3689","created_at":"2026-05-18T03:53:19Z"},{"alias_kind":"pith_short_12","alias_value":"UIO76IHPQHPP","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UIO76IHPQHPP54R6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UIO76IHP","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UIO76IHPQHPP54R6C7STZHXRUS","target":"record","payload":{"canonical_record":{"source":{"id":"1206.3689","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-16T18:44:21Z","cross_cats_sorted":[],"title_canon_sha256":"1218cf130c23e5b13d1169e0e72783423c0b2e4604929ecb0979642d2d61fe8e","abstract_canon_sha256":"679a9c4bd26fd2ac09fa77e5ad18710ab2f18b61ef028941c71531474f71058e"},"schema_version":"1.0"},"canonical_sha256":"a21dff20ef81defef23e17e53c9ef1a4aa2c4dcef0871e0593b75ed98bc11c68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:19.090022Z","signature_b64":"gj15P/Wu05DbfS+2qrElAcq/Ne3bgsSTDHw2oeWKKV883Ih6yjDtRnsyACd5I8reEStQb2J0eVLHIU0/MLdoDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a21dff20ef81defef23e17e53c9ef1a4aa2c4dcef0871e0593b75ed98bc11c68","last_reissued_at":"2026-05-18T03:53:19.089271Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:19.089271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.3689","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":"2026-05-18T03:53:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8bxiKN0XiogB/D5LXdobfEJJTwQZIoreY2XZvwRdhsSmv/Exaw4R99qK3R7HWtxG0OnvHa+S6z7vNZ3dIJF7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T20:59:48.513271Z"},"content_sha256":"5076b74343277dee0e657734b25afaae6eefc2d6281307bf7fc26519ce3de980","schema_version":"1.0","event_id":"sha256:5076b74343277dee0e657734b25afaae6eefc2d6281307bf7fc26519ce3de980"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UIO76IHPQHPP54R6C7STZHXRUS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Do Barbero-Immirzi connections exist in different dimensions and signatures?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"L. Fatibene, M. Francaviglia, S.Garruto","submitted_at":"2012-06-16T18:44:21Z","abstract_excerpt":"We shall show that no reductive splitting of the spin group exists in dimension 3 \\leq m \\leq 20 other than in dimension m = 4. In dimension 4 there are reductive splittings in any signature. Euclidean and Lorentzian signatures are reviewed in particular and signature (2, 2) is investigated explicitly in detail. Reductive splittings allow to define a global SU(2)-connection over spacetime which encodes in an weird way the holonomy of the standard spin connection. The standard Barbero-Immirzi (BI) connection used in LQG is then obtained by restriction to a spacelike slice. This mechanism provid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3689","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":"2026-05-18T03:53:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rm8Zy/eVyJ31ELCgeEgUai7ek+c4nsJDEkmyAiO0iWmdnkZr7hIQ8teVz7gwkeOL7VPaUzxjfEOCPTRRLgvCAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T20:59:48.513637Z"},"content_sha256":"ab6c89c247ef2f58742e558412195bb0ae68bc9af08e9b2cec3278b382a886f4","schema_version":"1.0","event_id":"sha256:ab6c89c247ef2f58742e558412195bb0ae68bc9af08e9b2cec3278b382a886f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UIO76IHPQHPP54R6C7STZHXRUS/bundle.json","state_url":"https://pith.science/pith/UIO76IHPQHPP54R6C7STZHXRUS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UIO76IHPQHPP54R6C7STZHXRUS/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":"2026-05-21T20:59:48Z","links":{"resolver":"https://pith.science/pith/UIO76IHPQHPP54R6C7STZHXRUS","bundle":"https://pith.science/pith/UIO76IHPQHPP54R6C7STZHXRUS/bundle.json","state":"https://pith.science/pith/UIO76IHPQHPP54R6C7STZHXRUS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UIO76IHPQHPP54R6C7STZHXRUS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UIO76IHPQHPP54R6C7STZHXRUS","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":"679a9c4bd26fd2ac09fa77e5ad18710ab2f18b61ef028941c71531474f71058e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-16T18:44:21Z","title_canon_sha256":"1218cf130c23e5b13d1169e0e72783423c0b2e4604929ecb0979642d2d61fe8e"},"schema_version":"1.0","source":{"id":"1206.3689","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.3689","created_at":"2026-05-18T03:53:19Z"},{"alias_kind":"arxiv_version","alias_value":"1206.3689v1","created_at":"2026-05-18T03:53:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3689","created_at":"2026-05-18T03:53:19Z"},{"alias_kind":"pith_short_12","alias_value":"UIO76IHPQHPP","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UIO76IHPQHPP54R6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UIO76IHP","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:ab6c89c247ef2f58742e558412195bb0ae68bc9af08e9b2cec3278b382a886f4","target":"graph","created_at":"2026-05-18T03:53:19Z","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 shall show that no reductive splitting of the spin group exists in dimension 3 \\leq m \\leq 20 other than in dimension m = 4. In dimension 4 there are reductive splittings in any signature. Euclidean and Lorentzian signatures are reviewed in particular and signature (2, 2) is investigated explicitly in detail. Reductive splittings allow to define a global SU(2)-connection over spacetime which encodes in an weird way the holonomy of the standard spin connection. The standard Barbero-Immirzi (BI) connection used in LQG is then obtained by restriction to a spacelike slice. This mechanism provid","authors_text":"L. Fatibene, M. Francaviglia, S.Garruto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-16T18:44:21Z","title":"Do Barbero-Immirzi connections exist in different dimensions and signatures?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3689","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":"sha256:5076b74343277dee0e657734b25afaae6eefc2d6281307bf7fc26519ce3de980","target":"record","created_at":"2026-05-18T03:53:19Z","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":"679a9c4bd26fd2ac09fa77e5ad18710ab2f18b61ef028941c71531474f71058e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-16T18:44:21Z","title_canon_sha256":"1218cf130c23e5b13d1169e0e72783423c0b2e4604929ecb0979642d2d61fe8e"},"schema_version":"1.0","source":{"id":"1206.3689","kind":"arxiv","version":1}},"canonical_sha256":"a21dff20ef81defef23e17e53c9ef1a4aa2c4dcef0871e0593b75ed98bc11c68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a21dff20ef81defef23e17e53c9ef1a4aa2c4dcef0871e0593b75ed98bc11c68","first_computed_at":"2026-05-18T03:53:19.089271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:19.089271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gj15P/Wu05DbfS+2qrElAcq/Ne3bgsSTDHw2oeWKKV883Ih6yjDtRnsyACd5I8reEStQb2J0eVLHIU0/MLdoDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:19.090022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.3689","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5076b74343277dee0e657734b25afaae6eefc2d6281307bf7fc26519ce3de980","sha256:ab6c89c247ef2f58742e558412195bb0ae68bc9af08e9b2cec3278b382a886f4"],"state_sha256":"8b3524b914e315ad5c2bd682e535800bec492c3cec07e234b2595c097f0bfff1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ibumPxZwslVYupdzuQqmjojjEqAffCMsSL6VCMHRVE+jfElbSJ48xm6m3BoZgPlqOzup7PQpAx4w0JxuOxmBBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T20:59:48.516642Z","bundle_sha256":"d443b62e33388a13fe9826d997aa6dcaf25004c41b590d04bd794c8ab362c2f9"}}