{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:IKD42AHTKBH3FXGPZWXYMZ54LV","short_pith_number":"pith:IKD42AHT","schema_version":"1.0","canonical_sha256":"4287cd00f3504fb2dccfcdaf8667bc5d56ee7adac7da5f3b30ef90fef7077089","source":{"kind":"arxiv","id":"1212.1265","version":2},"attestation_state":"computed","paper":{"title":"Loop quantization of spherically symmetric midisuperspaces and loop quantum geometry of the maximally extended Schwarzschild spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alf Tang, Dah-Wei Chiou, Wei-Tou Ni","submitted_at":"2012-12-06T09:21:20Z","abstract_excerpt":"We elaborate on the Ashtekar's formalism for spherically symmetric midisuperspaces and, for loop quantization, propound a new quantization scheme which yields a graph-preserving Hamiltonian constraint operator and by which one can impose the fundamental discreteness of loop quantum gravity a la the strategy of \"improved\" dynamics in loop quantum cosmology (LQC). Remarkable consequences are inferred at the heuristic level of effective dynamics: first, consistency of the constraint algebra regarding the Hamiltonian and diffeomorphism constraints fixes the improved quantization scheme to be of th"},"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":"1212.1265","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-06T09:21:20Z","cross_cats_sorted":[],"title_canon_sha256":"855431b431b8e0186525345efdfa6eba48821a99424fe779c9934ba0b785f0b7","abstract_canon_sha256":"b11243046112edf5aaa586784890615d9247c69d2302d05a02cbe03983597196"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:27.771305Z","signature_b64":"y61pnTMSLCIOEvMe5fqH3BDxfBYB5BO6LkxXzk77JVTEBf/ZEoPdU86US7MfPBpxeN7Fpr6O8Gs7U/oqYz5XBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4287cd00f3504fb2dccfcdaf8667bc5d56ee7adac7da5f3b30ef90fef7077089","last_reissued_at":"2026-05-18T03:35:27.770774Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:27.770774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Loop quantization of spherically symmetric midisuperspaces and loop quantum geometry of the maximally extended Schwarzschild spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alf Tang, Dah-Wei Chiou, Wei-Tou Ni","submitted_at":"2012-12-06T09:21:20Z","abstract_excerpt":"We elaborate on the Ashtekar's formalism for spherically symmetric midisuperspaces and, for loop quantization, propound a new quantization scheme which yields a graph-preserving Hamiltonian constraint operator and by which one can impose the fundamental discreteness of loop quantum gravity a la the strategy of \"improved\" dynamics in loop quantum cosmology (LQC). Remarkable consequences are inferred at the heuristic level of effective dynamics: first, consistency of the constraint algebra regarding the Hamiltonian and diffeomorphism constraints fixes the improved quantization scheme to be of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1265","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":"1212.1265","created_at":"2026-05-18T03:35:27.770865+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.1265v2","created_at":"2026-05-18T03:35:27.770865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1265","created_at":"2026-05-18T03:35:27.770865+00:00"},{"alias_kind":"pith_short_12","alias_value":"IKD42AHTKBH3","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"IKD42AHTKBH3FXGP","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"IKD42AHT","created_at":"2026-05-18T12:27:09.501522+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2511.20425","citing_title":"Canonical form of a deformed Poisson bracket spacetime","ref_index":20,"is_internal_anchor":true},{"citing_arxiv_id":"2602.15628","citing_title":"Expansion operators in spherically symmetric loop quantum gravity","ref_index":23,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IKD42AHTKBH3FXGPZWXYMZ54LV","json":"https://pith.science/pith/IKD42AHTKBH3FXGPZWXYMZ54LV.json","graph_json":"https://pith.science/api/pith-number/IKD42AHTKBH3FXGPZWXYMZ54LV/graph.json","events_json":"https://pith.science/api/pith-number/IKD42AHTKBH3FXGPZWXYMZ54LV/events.json","paper":"https://pith.science/paper/IKD42AHT"},"agent_actions":{"view_html":"https://pith.science/pith/IKD42AHTKBH3FXGPZWXYMZ54LV","download_json":"https://pith.science/pith/IKD42AHTKBH3FXGPZWXYMZ54LV.json","view_paper":"https://pith.science/paper/IKD42AHT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.1265&json=true","fetch_graph":"https://pith.science/api/pith-number/IKD42AHTKBH3FXGPZWXYMZ54LV/graph.json","fetch_events":"https://pith.science/api/pith-number/IKD42AHTKBH3FXGPZWXYMZ54LV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IKD42AHTKBH3FXGPZWXYMZ54LV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IKD42AHTKBH3FXGPZWXYMZ54LV/action/storage_attestation","attest_author":"https://pith.science/pith/IKD42AHTKBH3FXGPZWXYMZ54LV/action/author_attestation","sign_citation":"https://pith.science/pith/IKD42AHTKBH3FXGPZWXYMZ54LV/action/citation_signature","submit_replication":"https://pith.science/pith/IKD42AHTKBH3FXGPZWXYMZ54LV/action/replication_record"}},"created_at":"2026-05-18T03:35:27.770865+00:00","updated_at":"2026-05-18T03:35:27.770865+00:00"}