{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:SE6YDRL5JOGXAZGSUJBIRFB7MI","short_pith_number":"pith:SE6YDRL5","schema_version":"1.0","canonical_sha256":"913d81c57d4b8d7064d2a24288943f6235896c09c42a60fbe2d17867cbbf83c8","source":{"kind":"arxiv","id":"2310.19729","version":1},"attestation_state":"computed","paper":{"title":"Revisiting loop quantum gravity with selfdual variables: Classical theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hanno Sahlmann, Robert Seeger","submitted_at":"2023-10-30T16:53:26Z","abstract_excerpt":"We review the classical formulation of general relativity as an SL(2,C) gauge theory in terms of Ashtekar's selfdual variables and reality conditions for the spatial metric (RCI) and its evolution (RCII), and we add some new observations and results. We first explain in detail how a connection taking values in the Lie algebra of the complex Lorentz group yields two Spin(3,1) connections, one selfdual and one anti-selfdual, without the need for a spin structure. We then demonstrate that the selfdual part of the complexified Palatini action in Ashtekar variables requires a holomorphic phase spac"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2310.19729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-10-30T16:53:26Z","cross_cats_sorted":[],"title_canon_sha256":"10bcab38c33f58bddfb9d490058cfec1a233693485e0b92e28c8b41607f5648a","abstract_canon_sha256":"2588b2efdeae47751cbb597303395854ac763421af6a2800dfc8ce0312ed417e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:06:54.370516Z","signature_b64":"hThGTvOGO/xKgTK5YLxTnBABgiPESSQCGUk/QBVFdq09rx3lY7qVl3sZFgAjPtXpdOJP+v1lBzuCqUtLChr9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"913d81c57d4b8d7064d2a24288943f6235896c09c42a60fbe2d17867cbbf83c8","last_reissued_at":"2026-07-05T07:06:54.370018Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:06:54.370018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Revisiting loop quantum gravity with selfdual variables: Classical theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hanno Sahlmann, Robert Seeger","submitted_at":"2023-10-30T16:53:26Z","abstract_excerpt":"We review the classical formulation of general relativity as an SL(2,C) gauge theory in terms of Ashtekar's selfdual variables and reality conditions for the spatial metric (RCI) and its evolution (RCII), and we add some new observations and results. We first explain in detail how a connection taking values in the Lie algebra of the complex Lorentz group yields two Spin(3,1) connections, one selfdual and one anti-selfdual, without the need for a spin structure. We then demonstrate that the selfdual part of the complexified Palatini action in Ashtekar variables requires a holomorphic phase spac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.19729","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.19729/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2310.19729","created_at":"2026-07-05T07:06:54.370075+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.19729v1","created_at":"2026-07-05T07:06:54.370075+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.19729","created_at":"2026-07-05T07:06:54.370075+00:00"},{"alias_kind":"pith_short_12","alias_value":"SE6YDRL5JOGX","created_at":"2026-07-05T07:06:54.370075+00:00"},{"alias_kind":"pith_short_16","alias_value":"SE6YDRL5JOGXAZGS","created_at":"2026-07-05T07:06:54.370075+00:00"},{"alias_kind":"pith_short_8","alias_value":"SE6YDRL5","created_at":"2026-07-05T07:06:54.370075+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.24945","citing_title":"Toller matrices and the Feynman $i\\varepsilon$ in spinfoams","ref_index":122,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SE6YDRL5JOGXAZGSUJBIRFB7MI","json":"https://pith.science/pith/SE6YDRL5JOGXAZGSUJBIRFB7MI.json","graph_json":"https://pith.science/api/pith-number/SE6YDRL5JOGXAZGSUJBIRFB7MI/graph.json","events_json":"https://pith.science/api/pith-number/SE6YDRL5JOGXAZGSUJBIRFB7MI/events.json","paper":"https://pith.science/paper/SE6YDRL5"},"agent_actions":{"view_html":"https://pith.science/pith/SE6YDRL5JOGXAZGSUJBIRFB7MI","download_json":"https://pith.science/pith/SE6YDRL5JOGXAZGSUJBIRFB7MI.json","view_paper":"https://pith.science/paper/SE6YDRL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.19729&json=true","fetch_graph":"https://pith.science/api/pith-number/SE6YDRL5JOGXAZGSUJBIRFB7MI/graph.json","fetch_events":"https://pith.science/api/pith-number/SE6YDRL5JOGXAZGSUJBIRFB7MI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SE6YDRL5JOGXAZGSUJBIRFB7MI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SE6YDRL5JOGXAZGSUJBIRFB7MI/action/storage_attestation","attest_author":"https://pith.science/pith/SE6YDRL5JOGXAZGSUJBIRFB7MI/action/author_attestation","sign_citation":"https://pith.science/pith/SE6YDRL5JOGXAZGSUJBIRFB7MI/action/citation_signature","submit_replication":"https://pith.science/pith/SE6YDRL5JOGXAZGSUJBIRFB7MI/action/replication_record"}},"created_at":"2026-07-05T07:06:54.370075+00:00","updated_at":"2026-07-05T07:06:54.370075+00:00"}