{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:KSLQODCNJAWFCUS2YG4HGTGXSU","short_pith_number":"pith:KSLQODCN","schema_version":"1.0","canonical_sha256":"5497070c4d482c51525ac1b8734cd7952d6eb9f8da71993f593d36795a7b0864","source":{"kind":"arxiv","id":"1802.01543","version":2},"attestation_state":"computed","paper":{"title":"Deriving loop quantum cosmology dynamics from diffeomorphism invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ilya Vilensky, Jonathan Engle","submitted_at":"2018-02-05T18:10:22Z","abstract_excerpt":"We use the requirement of diffeomorphism invariance in the Bianchi I context to derive the form of the quantum Hamiltonian constraint. After imposing the correct classical behavior and making a certain minimality assumption, together with a certain restriction to \"planar loops\", we then obtain a unique expression for the quantum Hamiltonian operator for Bianchi I to both leading and subleading orders in $\\hbar$. Specifically, this expression is found to exactly match the form proposed by Ashtekar and Wilson-Ewing in the loop quantum cosmology (LQC) literature. Furthermore, by using the project"},"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":"1802.01543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-02-05T18:10:22Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"074c084c33cdbbb363129893f8be846aa78c68d44fc34d695cd8470ea0bf0268","abstract_canon_sha256":"ccabf80f02c1d64975a170ba03defe46f0cd85dffbe9e139a3d5de46aac0ee01"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:06.292930Z","signature_b64":"CZ9x7RrP57dEe0eHwfYQTHr8tTyzWn5e+UOYxQ0/JdbjDPawSqN2I4mmtMSOTpFbSCnqNPn7BYtFgIeyon/SAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5497070c4d482c51525ac1b8734cd7952d6eb9f8da71993f593d36795a7b0864","last_reissued_at":"2026-05-18T00:11:06.292278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:06.292278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deriving loop quantum cosmology dynamics from diffeomorphism invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ilya Vilensky, Jonathan Engle","submitted_at":"2018-02-05T18:10:22Z","abstract_excerpt":"We use the requirement of diffeomorphism invariance in the Bianchi I context to derive the form of the quantum Hamiltonian constraint. After imposing the correct classical behavior and making a certain minimality assumption, together with a certain restriction to \"planar loops\", we then obtain a unique expression for the quantum Hamiltonian operator for Bianchi I to both leading and subleading orders in $\\hbar$. Specifically, this expression is found to exactly match the form proposed by Ashtekar and Wilson-Ewing in the loop quantum cosmology (LQC) literature. Furthermore, by using the project"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01543","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1802.01543","created_at":"2026-05-18T00:11:06.292382+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.01543v2","created_at":"2026-05-18T00:11:06.292382+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01543","created_at":"2026-05-18T00:11:06.292382+00:00"},{"alias_kind":"pith_short_12","alias_value":"KSLQODCNJAWF","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"KSLQODCNJAWFCUS2","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"KSLQODCN","created_at":"2026-05-18T12:32:33.847187+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KSLQODCNJAWFCUS2YG4HGTGXSU","json":"https://pith.science/pith/KSLQODCNJAWFCUS2YG4HGTGXSU.json","graph_json":"https://pith.science/api/pith-number/KSLQODCNJAWFCUS2YG4HGTGXSU/graph.json","events_json":"https://pith.science/api/pith-number/KSLQODCNJAWFCUS2YG4HGTGXSU/events.json","paper":"https://pith.science/paper/KSLQODCN"},"agent_actions":{"view_html":"https://pith.science/pith/KSLQODCNJAWFCUS2YG4HGTGXSU","download_json":"https://pith.science/pith/KSLQODCNJAWFCUS2YG4HGTGXSU.json","view_paper":"https://pith.science/paper/KSLQODCN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.01543&json=true","fetch_graph":"https://pith.science/api/pith-number/KSLQODCNJAWFCUS2YG4HGTGXSU/graph.json","fetch_events":"https://pith.science/api/pith-number/KSLQODCNJAWFCUS2YG4HGTGXSU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KSLQODCNJAWFCUS2YG4HGTGXSU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KSLQODCNJAWFCUS2YG4HGTGXSU/action/storage_attestation","attest_author":"https://pith.science/pith/KSLQODCNJAWFCUS2YG4HGTGXSU/action/author_attestation","sign_citation":"https://pith.science/pith/KSLQODCNJAWFCUS2YG4HGTGXSU/action/citation_signature","submit_replication":"https://pith.science/pith/KSLQODCNJAWFCUS2YG4HGTGXSU/action/replication_record"}},"created_at":"2026-05-18T00:11:06.292382+00:00","updated_at":"2026-05-18T00:11:06.292382+00:00"}