{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:X3DEQ7VIGZWIROFXPULUWSTCXO","short_pith_number":"pith:X3DEQ7VI","schema_version":"1.0","canonical_sha256":"bec6487ea8366c88b8b77d174b4a62bbb08a4a0aa43c189e197a052969f98380","source":{"kind":"arxiv","id":"1410.5276","version":2},"attestation_state":"computed","paper":{"title":"A symmetric scalar constraint for loop quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hanno Sahlmann, Jerzy lewandowski","submitted_at":"2014-10-20T13:56:16Z","abstract_excerpt":"In the framework of loop quantum gravity, we define a new Hilbert space of states which are solutions of a large number of components of the diffeomorphism constraint. On this Hilbert space, using the methods of Thiemann, we obtain a family of gravitational scalar constraints. They preserve the Hilbert space for every choice of lapse function. Thus adjointness and commutator properties of the constraint can be investigated in a straightforward manner. We show how the space of solutions of the symmetrized constraint can be defined by spectral decomposition, and the Hilbert space of physical sta"},"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":"1410.5276","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-10-20T13:56:16Z","cross_cats_sorted":[],"title_canon_sha256":"b4dfdaa26b5996c2cc13a42785d2385d562aa4f294db563f789df5b689222cac","abstract_canon_sha256":"85558f9d54e4bef28de9fdc0360ff54207026536866247763bb73e14edadc846"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:41.668820Z","signature_b64":"VT1xJTkDv2GKFbKjzNohz6px5/XiK7tK8n0L3qnAat7HVHv7OBo4efPbhSprTOYqlEdx+KKrqv8kY2AN7oQQCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bec6487ea8366c88b8b77d174b4a62bbb08a4a0aa43c189e197a052969f98380","last_reissued_at":"2026-05-18T02:25:41.668394Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:41.668394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A symmetric scalar constraint for loop quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hanno Sahlmann, Jerzy lewandowski","submitted_at":"2014-10-20T13:56:16Z","abstract_excerpt":"In the framework of loop quantum gravity, we define a new Hilbert space of states which are solutions of a large number of components of the diffeomorphism constraint. On this Hilbert space, using the methods of Thiemann, we obtain a family of gravitational scalar constraints. They preserve the Hilbert space for every choice of lapse function. Thus adjointness and commutator properties of the constraint can be investigated in a straightforward manner. We show how the space of solutions of the symmetrized constraint can be defined by spectral decomposition, and the Hilbert space of physical sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5276","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":"1410.5276","created_at":"2026-05-18T02:25:41.668450+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.5276v2","created_at":"2026-05-18T02:25:41.668450+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5276","created_at":"2026-05-18T02:25:41.668450+00:00"},{"alias_kind":"pith_short_12","alias_value":"X3DEQ7VIGZWI","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"X3DEQ7VIGZWIROFX","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"X3DEQ7VI","created_at":"2026-05-18T12:28:54.890064+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/X3DEQ7VIGZWIROFXPULUWSTCXO","json":"https://pith.science/pith/X3DEQ7VIGZWIROFXPULUWSTCXO.json","graph_json":"https://pith.science/api/pith-number/X3DEQ7VIGZWIROFXPULUWSTCXO/graph.json","events_json":"https://pith.science/api/pith-number/X3DEQ7VIGZWIROFXPULUWSTCXO/events.json","paper":"https://pith.science/paper/X3DEQ7VI"},"agent_actions":{"view_html":"https://pith.science/pith/X3DEQ7VIGZWIROFXPULUWSTCXO","download_json":"https://pith.science/pith/X3DEQ7VIGZWIROFXPULUWSTCXO.json","view_paper":"https://pith.science/paper/X3DEQ7VI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.5276&json=true","fetch_graph":"https://pith.science/api/pith-number/X3DEQ7VIGZWIROFXPULUWSTCXO/graph.json","fetch_events":"https://pith.science/api/pith-number/X3DEQ7VIGZWIROFXPULUWSTCXO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X3DEQ7VIGZWIROFXPULUWSTCXO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X3DEQ7VIGZWIROFXPULUWSTCXO/action/storage_attestation","attest_author":"https://pith.science/pith/X3DEQ7VIGZWIROFXPULUWSTCXO/action/author_attestation","sign_citation":"https://pith.science/pith/X3DEQ7VIGZWIROFXPULUWSTCXO/action/citation_signature","submit_replication":"https://pith.science/pith/X3DEQ7VIGZWIROFXPULUWSTCXO/action/replication_record"}},"created_at":"2026-05-18T02:25:41.668450+00:00","updated_at":"2026-05-18T02:25:41.668450+00:00"}