{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UEG4K6FEFV25VLUOXB6GMGYBAX","short_pith_number":"pith:UEG4K6FE","canonical_record":{"source":{"id":"1203.1530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-07T16:38:19Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"26883aaaf1f79f797d34a619499c8fa49de7325751e6cc51efb9e9e60f18dcc8","abstract_canon_sha256":"20f18320acdb9fa28d88915d15311be9b92370983d5430f34c76909ead42f252"},"schema_version":"1.0"},"canonical_sha256":"a10dc578a42d75daae8eb87c661b0105cc724b1f5ca70b90c1f61b35c40268bb","source":{"kind":"arxiv","id":"1203.1530","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UEG4K6FEFV25VLUOXB6GMGYBAX","target":"record","payload":{"canonical_record":{"source":{"id":"1203.1530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-07T16:38:19Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"26883aaaf1f79f797d34a619499c8fa49de7325751e6cc51efb9e9e60f18dcc8","abstract_canon_sha256":"20f18320acdb9fa28d88915d15311be9b92370983d5430f34c76909ead42f252"},"schema_version":"1.0"},"canonical_sha256":"a10dc578a42d75daae8eb87c661b0105cc724b1f5ca70b90c1f61b35c40268bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:13.649349Z","signature_b64":"xrLTGi+XmWWTBMl+20rydxI1OGSImNEEcrZvxBrhfyLjgq0Ad25/K0gWmrw7LfmYlrqLXafroKQJm9ibFCG1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a10dc578a42d75daae8eb87c661b0105cc724b1f5ca70b90c1f61b35c40268bb","last_reissued_at":"2026-05-18T01:58:13.648748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:13.648748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.1530","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":"2026-05-18T01:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ebGjPbz1HtLMM2ji6wGODKYBoSHEDrsOxlJOuaCkuPQv3BkFc1bxnWG+9Nfx1ZWjx8w0MAyW2cVlTRusUXvUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:21:40.611766Z"},"content_sha256":"cde663c997202d9633ab25558607bca79e62497beede15b419f08986be0c3750","schema_version":"1.0","event_id":"sha256:cde663c997202d9633ab25558607bca79e62497beede15b419f08986be0c3750"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UEG4K6FEFV25VLUOXB6GMGYBAX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One vertex spin-foams with the Dipole Cosmology boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jacek Puchta, Jerzy lewandowski, Marcin Kisielowski","submitted_at":"2012-03-07T16:38:19Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1530","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":"2026-05-18T01:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rLOgBHJqG7TepUHAAPiUe1ICIwCWq4BBmBFm3BhLYjwa239qpdujzzpKZCdyf+isXZo1V+GhDF45JBhhACwYAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:21:40.612423Z"},"content_sha256":"a2bd1215c20070109689ce181054003b570a27062c0a14dc68586b77a6c6ce99","schema_version":"1.0","event_id":"sha256:a2bd1215c20070109689ce181054003b570a27062c0a14dc68586b77a6c6ce99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UEG4K6FEFV25VLUOXB6GMGYBAX/bundle.json","state_url":"https://pith.science/pith/UEG4K6FEFV25VLUOXB6GMGYBAX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UEG4K6FEFV25VLUOXB6GMGYBAX/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":"2026-05-26T21:21:40Z","links":{"resolver":"https://pith.science/pith/UEG4K6FEFV25VLUOXB6GMGYBAX","bundle":"https://pith.science/pith/UEG4K6FEFV25VLUOXB6GMGYBAX/bundle.json","state":"https://pith.science/pith/UEG4K6FEFV25VLUOXB6GMGYBAX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UEG4K6FEFV25VLUOXB6GMGYBAX/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MgBUODI3e/8pRf3tbhHwh3yj1X9JK6aszOWVIDYo3oPVB0APLaRLgio/KfGecz2oapWn961LoLy8OXQnVqxhBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:21:40.615358Z","bundle_sha256":"78ff1ad4bf2bbe2bbd211f23449c494da76e5f8bae5b25a8fc4d387723772867"}}