{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:LFHVBUBIHOSQTJUJTJWZR4CMDZ","short_pith_number":"pith:LFHVBUBI","canonical_record":{"source":{"id":"1709.08675","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T18:58:47Z","cross_cats_sorted":[],"title_canon_sha256":"06cac8ec44f5c8e290086231e54aa1db2cf87d8fab6812f79c7c2d757451d96f","abstract_canon_sha256":"4a1f78778e222164deb198c3e661890d364c8a5aeb6bb7c35baa796312abc70e"},"schema_version":"1.0"},"canonical_sha256":"594f50d0283ba509a6899a6d98f04c1e6876cdc29052a724fd7252d23bac34bb","source":{"kind":"arxiv","id":"1709.08675","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08675","created_at":"2026-05-17T23:56:00Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08675v4","created_at":"2026-05-17T23:56:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08675","created_at":"2026-05-17T23:56:00Z"},{"alias_kind":"pith_short_12","alias_value":"LFHVBUBIHOSQ","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LFHVBUBIHOSQTJUJ","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LFHVBUBI","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:LFHVBUBIHOSQTJUJTJWZR4CMDZ","target":"record","payload":{"canonical_record":{"source":{"id":"1709.08675","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T18:58:47Z","cross_cats_sorted":[],"title_canon_sha256":"06cac8ec44f5c8e290086231e54aa1db2cf87d8fab6812f79c7c2d757451d96f","abstract_canon_sha256":"4a1f78778e222164deb198c3e661890d364c8a5aeb6bb7c35baa796312abc70e"},"schema_version":"1.0"},"canonical_sha256":"594f50d0283ba509a6899a6d98f04c1e6876cdc29052a724fd7252d23bac34bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:00.035607Z","signature_b64":"sRN5DwDKbPj40AY1I7A/t7DkTDPacHWlM4kI4k1PUloBFPyt60p3/96DcDoLTeBBy4R1apxkCTaVqWjlcVP5Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"594f50d0283ba509a6899a6d98f04c1e6876cdc29052a724fd7252d23bac34bb","last_reissued_at":"2026-05-17T23:56:00.034840Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:00.034840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.08675","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f0ye0tCV7PU/uMx2Y3AqhMtX87IuOsh/shaG2JXh6UGRMlZ8Mw6m8yYXyG5/RBo/mG2Np0LMTYgefJYIroUKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T21:35:50.299328Z"},"content_sha256":"a97c0333c3b503ea1dc037c632c91a2a79ccb3f5538d2bc40bdd162d09939522","schema_version":"1.0","event_id":"sha256:a97c0333c3b503ea1dc037c632c91a2a79ccb3f5538d2bc40bdd162d09939522"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:LFHVBUBIHOSQTJUJTJWZR4CMDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Emanuele Alesci, Gabriele V. Stagno, Gioele Botta","submitted_at":"2017-09-25T18:58:47Z","abstract_excerpt":"We introduce a new regularization scheme for Quantum Cosmology in Loop Quantum Gravity (LQG) using the tools of Quantum Reduced Loop Gravity (QRLG). It is obtained considering density matrices for superposition of graphs based on statistical countings of microstates compatible with macroscopic configurations. We call this procedure statistical regularization scheme. In particular, we show how the $\\mu_0$ and $\\bar{\\mu}$ schemes introduced in Loop Quantum Cosmology (LQC) emerge with specific choices of density matrices. Within this new scheme we compute effective Hamiltonians suitable to descri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08675","kind":"arxiv","version":4},"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":"2026-05-17T23:56:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pq/1alATUVHMcnjMFjZgw0u45kf+v3XR1avHsNECTyLjskAUX+c4OIROJt39jAlrE5PmD0nPnLslxBQHFk4rDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T21:35:50.299718Z"},"content_sha256":"2f57e078a17e89db6533abc884b80df70443d41ff54ff7c05e05cac198adffc4","schema_version":"1.0","event_id":"sha256:2f57e078a17e89db6533abc884b80df70443d41ff54ff7c05e05cac198adffc4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LFHVBUBIHOSQTJUJTJWZR4CMDZ/bundle.json","state_url":"https://pith.science/pith/LFHVBUBIHOSQTJUJTJWZR4CMDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LFHVBUBIHOSQTJUJTJWZR4CMDZ/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":"2026-05-21T21:35:50Z","links":{"resolver":"https://pith.science/pith/LFHVBUBIHOSQTJUJTJWZR4CMDZ","bundle":"https://pith.science/pith/LFHVBUBIHOSQTJUJTJWZR4CMDZ/bundle.json","state":"https://pith.science/pith/LFHVBUBIHOSQTJUJTJWZR4CMDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LFHVBUBIHOSQTJUJTJWZR4CMDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LFHVBUBIHOSQTJUJTJWZR4CMDZ","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":"4a1f78778e222164deb198c3e661890d364c8a5aeb6bb7c35baa796312abc70e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T18:58:47Z","title_canon_sha256":"06cac8ec44f5c8e290086231e54aa1db2cf87d8fab6812f79c7c2d757451d96f"},"schema_version":"1.0","source":{"id":"1709.08675","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08675","created_at":"2026-05-17T23:56:00Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08675v4","created_at":"2026-05-17T23:56:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08675","created_at":"2026-05-17T23:56:00Z"},{"alias_kind":"pith_short_12","alias_value":"LFHVBUBIHOSQ","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LFHVBUBIHOSQTJUJ","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LFHVBUBI","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:2f57e078a17e89db6533abc884b80df70443d41ff54ff7c05e05cac198adffc4","target":"graph","created_at":"2026-05-17T23:56:00Z","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 introduce a new regularization scheme for Quantum Cosmology in Loop Quantum Gravity (LQG) using the tools of Quantum Reduced Loop Gravity (QRLG). It is obtained considering density matrices for superposition of graphs based on statistical countings of microstates compatible with macroscopic configurations. We call this procedure statistical regularization scheme. In particular, we show how the $\\mu_0$ and $\\bar{\\mu}$ schemes introduced in Loop Quantum Cosmology (LQC) emerge with specific choices of density matrices. Within this new scheme we compute effective Hamiltonians suitable to descri","authors_text":"Emanuele Alesci, Gabriele V. Stagno, Gioele Botta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T18:58:47Z","title":"Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08675","kind":"arxiv","version":4},"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:a97c0333c3b503ea1dc037c632c91a2a79ccb3f5538d2bc40bdd162d09939522","target":"record","created_at":"2026-05-17T23:56:00Z","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":"4a1f78778e222164deb198c3e661890d364c8a5aeb6bb7c35baa796312abc70e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T18:58:47Z","title_canon_sha256":"06cac8ec44f5c8e290086231e54aa1db2cf87d8fab6812f79c7c2d757451d96f"},"schema_version":"1.0","source":{"id":"1709.08675","kind":"arxiv","version":4}},"canonical_sha256":"594f50d0283ba509a6899a6d98f04c1e6876cdc29052a724fd7252d23bac34bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"594f50d0283ba509a6899a6d98f04c1e6876cdc29052a724fd7252d23bac34bb","first_computed_at":"2026-05-17T23:56:00.034840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:00.034840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sRN5DwDKbPj40AY1I7A/t7DkTDPacHWlM4kI4k1PUloBFPyt60p3/96DcDoLTeBBy4R1apxkCTaVqWjlcVP5Bw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:00.035607Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.08675","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a97c0333c3b503ea1dc037c632c91a2a79ccb3f5538d2bc40bdd162d09939522","sha256:2f57e078a17e89db6533abc884b80df70443d41ff54ff7c05e05cac198adffc4"],"state_sha256":"282659eb1f1f4e4d8a35fc0d8bf0518efb6a85fd9127fef67b586c45199f0fd0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9f/UVsl9+pi3PULzilHWc5Lwcq17VcPIzFYZxlldGduVAHqzj91OxLVK5/QUTFCtlKjZPApIxrNi/YtkZnaBCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T21:35:50.301946Z","bundle_sha256":"19e45bedbb38b6a576a60eebda6e4168414b93bde6fac0d5bc0ca25c5152d14a"}}