{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UEG4K6FEFV25VLUOXB6GMGYBAX","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":"20f18320acdb9fa28d88915d15311be9b92370983d5430f34c76909ead42f252","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-07T16:38:19Z","title_canon_sha256":"26883aaaf1f79f797d34a619499c8fa49de7325751e6cc51efb9e9e60f18dcc8"},"schema_version":"1.0","source":{"id":"1203.1530","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1530","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1530v1","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1530","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"UEG4K6FEFV25","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UEG4K6FEFV25VLUO","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UEG4K6FE","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:a2bd1215c20070109689ce181054003b570a27062c0a14dc68586b77a6c6ce99","target":"graph","created_at":"2026-05-18T01:58:13Z","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 find all the spin-foams contributing in the first order of the vertex expansion to the transition amplitude of the Bianchi-Rovelli-Vidotto Dipole Cosmology model. Our algorithm is general and provides spin-foams of arbitrarily given, fixed: boundary and, respectively, a number of internal vertices. We use the recently introduced Operator Spin-Network Diagrams framework.","authors_text":"Jacek Puchta, Jerzy lewandowski, Marcin Kisielowski","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-07T16:38:19Z","title":"One vertex spin-foams with the Dipole Cosmology boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1530","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:cde663c997202d9633ab25558607bca79e62497beede15b419f08986be0c3750","target":"record","created_at":"2026-05-18T01:58:13Z","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":"20f18320acdb9fa28d88915d15311be9b92370983d5430f34c76909ead42f252","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-07T16:38:19Z","title_canon_sha256":"26883aaaf1f79f797d34a619499c8fa49de7325751e6cc51efb9e9e60f18dcc8"},"schema_version":"1.0","source":{"id":"1203.1530","kind":"arxiv","version":1}},"canonical_sha256":"a10dc578a42d75daae8eb87c661b0105cc724b1f5ca70b90c1f61b35c40268bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a10dc578a42d75daae8eb87c661b0105cc724b1f5ca70b90c1f61b35c40268bb","first_computed_at":"2026-05-18T01:58:13.648748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:13.648748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xrLTGi+XmWWTBMl+20rydxI1OGSImNEEcrZvxBrhfyLjgq0Ad25/K0gWmrw7LfmYlrqLXafroKQJm9ibFCG1Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:13.649349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1530","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cde663c997202d9633ab25558607bca79e62497beede15b419f08986be0c3750","sha256:a2bd1215c20070109689ce181054003b570a27062c0a14dc68586b77a6c6ce99"],"state_sha256":"fef8ff3f9f08d18ceffed944bde3dc3948941c3cc57f987fdde7aa5105f127e0"}