{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GDXTCKSGGBAMTDKRSD7ZMOFGIO","short_pith_number":"pith:GDXTCKSG","canonical_record":{"source":{"id":"1110.2905","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-13T12:07:18Z","cross_cats_sorted":[],"title_canon_sha256":"e1a45622870dcc93f620019a6bec14e4f1bc8c93808b83802fb7f8c629e7a1ef","abstract_canon_sha256":"d427c79503b7d60370f7aaf4ee6ef1d2605105ff5695cfcc4d44c73bf063cf64"},"schema_version":"1.0"},"canonical_sha256":"30ef312a463040c98d5190ff9638a6439fd02a2fe899578118e5cc22f1325095","source":{"kind":"arxiv","id":"1110.2905","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2905","created_at":"2026-05-18T03:55:14Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2905v1","created_at":"2026-05-18T03:55:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2905","created_at":"2026-05-18T03:55:14Z"},{"alias_kind":"pith_short_12","alias_value":"GDXTCKSGGBAM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GDXTCKSGGBAMTDKR","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GDXTCKSG","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GDXTCKSGGBAMTDKRSD7ZMOFGIO","target":"record","payload":{"canonical_record":{"source":{"id":"1110.2905","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-13T12:07:18Z","cross_cats_sorted":[],"title_canon_sha256":"e1a45622870dcc93f620019a6bec14e4f1bc8c93808b83802fb7f8c629e7a1ef","abstract_canon_sha256":"d427c79503b7d60370f7aaf4ee6ef1d2605105ff5695cfcc4d44c73bf063cf64"},"schema_version":"1.0"},"canonical_sha256":"30ef312a463040c98d5190ff9638a6439fd02a2fe899578118e5cc22f1325095","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:14.112185Z","signature_b64":"yfPb9R1TIyLoXU86+CCdrkess9MwyOi2xyH8Nfk1LFaJNG7scKSdwe2sN1wEMQYTffVJyDEPmv0PuOGLT5mEDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30ef312a463040c98d5190ff9638a6439fd02a2fe899578118e5cc22f1325095","last_reissued_at":"2026-05-18T03:55:14.111707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:14.111707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.2905","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":"2026-05-18T03:55:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jqMPMMl6mH4JLaz9C8JxD6Y5miVs7eyi+bf0cg0N/rCOGjWQZzb7hppkx7SB56gguiqE/wcj6oxU0n4byf5pAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T08:04:39.499149Z"},"content_sha256":"bca64753c0cc32ed0b22a2c8b7737c80d04d88e634d387bcceed5970cffa8689","schema_version":"1.0","event_id":"sha256:bca64753c0cc32ed0b22a2c8b7737c80d04d88e634d387bcceed5970cffa8689"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GDXTCKSGGBAMTDKRSD7ZMOFGIO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General covariant transition amplitudes in quantum cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Francesca Vidotto","submitted_at":"2011-10-13T12:07:18Z","abstract_excerpt":"The path-integral approach to cosmology consists in the computation of transition amplitudes between states of the quantum geometry of the universe. In the past, the concrete computation of these transitions amplitudes has been performed in a perturbative regime, breaking the full general covariance of the theory. Here I present how it is possible to define a general covariant path integral in quantum cosmology, by relying on the most recent results of the canonical and covariant formulations of Loop Quantum Gravity. I present two strategies that have been implemented. The first starts from th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2905","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":"2026-05-18T03:55:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q+tSVkuZm1DZRbK8Axf+WOQcZw2d9KFfvWEx1ZOVowWVAtkPc2V2HzNQs9aMy/I+zuiUkRODx987nI42/VxzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T08:04:39.499533Z"},"content_sha256":"17c7157884023365f814fee8ad50f221ce198d5d59d2b0cee867f8a2104ce536","schema_version":"1.0","event_id":"sha256:17c7157884023365f814fee8ad50f221ce198d5d59d2b0cee867f8a2104ce536"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GDXTCKSGGBAMTDKRSD7ZMOFGIO/bundle.json","state_url":"https://pith.science/pith/GDXTCKSGGBAMTDKRSD7ZMOFGIO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GDXTCKSGGBAMTDKRSD7ZMOFGIO/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":"2026-05-20T08:04:39Z","links":{"resolver":"https://pith.science/pith/GDXTCKSGGBAMTDKRSD7ZMOFGIO","bundle":"https://pith.science/pith/GDXTCKSGGBAMTDKRSD7ZMOFGIO/bundle.json","state":"https://pith.science/pith/GDXTCKSGGBAMTDKRSD7ZMOFGIO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GDXTCKSGGBAMTDKRSD7ZMOFGIO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GDXTCKSGGBAMTDKRSD7ZMOFGIO","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":"d427c79503b7d60370f7aaf4ee6ef1d2605105ff5695cfcc4d44c73bf063cf64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-13T12:07:18Z","title_canon_sha256":"e1a45622870dcc93f620019a6bec14e4f1bc8c93808b83802fb7f8c629e7a1ef"},"schema_version":"1.0","source":{"id":"1110.2905","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2905","created_at":"2026-05-18T03:55:14Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2905v1","created_at":"2026-05-18T03:55:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2905","created_at":"2026-05-18T03:55:14Z"},{"alias_kind":"pith_short_12","alias_value":"GDXTCKSGGBAM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GDXTCKSGGBAMTDKR","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GDXTCKSG","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:17c7157884023365f814fee8ad50f221ce198d5d59d2b0cee867f8a2104ce536","target":"graph","created_at":"2026-05-18T03:55:14Z","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":"The path-integral approach to cosmology consists in the computation of transition amplitudes between states of the quantum geometry of the universe. In the past, the concrete computation of these transitions amplitudes has been performed in a perturbative regime, breaking the full general covariance of the theory. Here I present how it is possible to define a general covariant path integral in quantum cosmology, by relying on the most recent results of the canonical and covariant formulations of Loop Quantum Gravity. I present two strategies that have been implemented. The first starts from th","authors_text":"Francesca Vidotto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-13T12:07:18Z","title":"General covariant transition amplitudes in quantum cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2905","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:bca64753c0cc32ed0b22a2c8b7737c80d04d88e634d387bcceed5970cffa8689","target":"record","created_at":"2026-05-18T03:55:14Z","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":"d427c79503b7d60370f7aaf4ee6ef1d2605105ff5695cfcc4d44c73bf063cf64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-13T12:07:18Z","title_canon_sha256":"e1a45622870dcc93f620019a6bec14e4f1bc8c93808b83802fb7f8c629e7a1ef"},"schema_version":"1.0","source":{"id":"1110.2905","kind":"arxiv","version":1}},"canonical_sha256":"30ef312a463040c98d5190ff9638a6439fd02a2fe899578118e5cc22f1325095","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30ef312a463040c98d5190ff9638a6439fd02a2fe899578118e5cc22f1325095","first_computed_at":"2026-05-18T03:55:14.111707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:14.111707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yfPb9R1TIyLoXU86+CCdrkess9MwyOi2xyH8Nfk1LFaJNG7scKSdwe2sN1wEMQYTffVJyDEPmv0PuOGLT5mEDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:14.112185Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2905","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bca64753c0cc32ed0b22a2c8b7737c80d04d88e634d387bcceed5970cffa8689","sha256:17c7157884023365f814fee8ad50f221ce198d5d59d2b0cee867f8a2104ce536"],"state_sha256":"682edcfe43615d531c74e7797eb4285a8ed7aad5cff4b71b6e9d5d08fe184b51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Br9YM/5GqkfaAItbiSs3znygQJNA4hmhfv+HvSd/kBweVo0d/0cm+m8C/jZ81IjDtoy8EuiJoTpnopaD+gR1Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T08:04:39.501759Z","bundle_sha256":"1d3f4d9347fdfda46a17b256a4e258fb2bd784faa6c956268cf80196fa61549c"}}