{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:KS2YPAOOMEGUNOCVFHLR3IJTW7","short_pith_number":"pith:KS2YPAOO","schema_version":"1.0","canonical_sha256":"54b58781ce610d46b85529d71da133b7e578d8d42936fbdfb682c63f9f033732","source":{"kind":"arxiv","id":"gr-qc/9710016","version":1},"attestation_state":"computed","paper":{"title":"Loop constraints: A habitat and their algebra","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Donald Marolf, Jerzy lewandowski","submitted_at":"1997-10-02T19:30:54Z","abstract_excerpt":"This work introduces a new space $\\T'_*$ of `vertex-smooth' states for use in the loop approach to quantum gravity. Such states provide a natural domain for Euclidean Hamiltonian constraint operators of the type introduced by Thiemann (and using certain ideas of Rovelli and Smolin). In particular, such operators map $\\T'_*$ into itself, and so are actual operators in this space. Their commutator can be computed on $\\T'_*$ and compared with the classical hypersurface deformation algebra. Although the classical Poisson bracket of Hamiltonian constraints yields an inverse metric times an infinite"},"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":"gr-qc/9710016","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1997-10-02T19:30:54Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"df478c77af76c3ba2bb7f3e8c0be9b72c5c9e5d0c825f3fcc279152d37317de2","abstract_canon_sha256":"d36fb3ee961ad986b754c6504291b6d257deaa36de856069e0c2ff2b58973a3e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:18.868218Z","signature_b64":"N8/qnLhrDpfGRaD8EC6Cud77zSef/s6KwhOcloMI9n1ptu24qiIBVS/SAcit4CZGDupZEBDKPDsBrs7xjM43Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54b58781ce610d46b85529d71da133b7e578d8d42936fbdfb682c63f9f033732","last_reissued_at":"2026-05-18T01:39:18.867621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:18.867621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Loop constraints: A habitat and their algebra","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Donald Marolf, Jerzy lewandowski","submitted_at":"1997-10-02T19:30:54Z","abstract_excerpt":"This work introduces a new space $\\T'_*$ of `vertex-smooth' states for use in the loop approach to quantum gravity. Such states provide a natural domain for Euclidean Hamiltonian constraint operators of the type introduced by Thiemann (and using certain ideas of Rovelli and Smolin). In particular, such operators map $\\T'_*$ into itself, and so are actual operators in this space. Their commutator can be computed on $\\T'_*$ and compared with the classical hypersurface deformation algebra. Although the classical Poisson bracket of Hamiltonian constraints yields an inverse metric times an infinite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9710016","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9710016","created_at":"2026-05-18T01:39:18.867705+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9710016v1","created_at":"2026-05-18T01:39:18.867705+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9710016","created_at":"2026-05-18T01:39:18.867705+00:00"},{"alias_kind":"pith_short_12","alias_value":"KS2YPAOOMEGU","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"KS2YPAOOMEGUNOCV","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"KS2YPAOO","created_at":"2026-05-18T12:25:48.327863+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/KS2YPAOOMEGUNOCVFHLR3IJTW7","json":"https://pith.science/pith/KS2YPAOOMEGUNOCVFHLR3IJTW7.json","graph_json":"https://pith.science/api/pith-number/KS2YPAOOMEGUNOCVFHLR3IJTW7/graph.json","events_json":"https://pith.science/api/pith-number/KS2YPAOOMEGUNOCVFHLR3IJTW7/events.json","paper":"https://pith.science/paper/KS2YPAOO"},"agent_actions":{"view_html":"https://pith.science/pith/KS2YPAOOMEGUNOCVFHLR3IJTW7","download_json":"https://pith.science/pith/KS2YPAOOMEGUNOCVFHLR3IJTW7.json","view_paper":"https://pith.science/paper/KS2YPAOO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9710016&json=true","fetch_graph":"https://pith.science/api/pith-number/KS2YPAOOMEGUNOCVFHLR3IJTW7/graph.json","fetch_events":"https://pith.science/api/pith-number/KS2YPAOOMEGUNOCVFHLR3IJTW7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KS2YPAOOMEGUNOCVFHLR3IJTW7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KS2YPAOOMEGUNOCVFHLR3IJTW7/action/storage_attestation","attest_author":"https://pith.science/pith/KS2YPAOOMEGUNOCVFHLR3IJTW7/action/author_attestation","sign_citation":"https://pith.science/pith/KS2YPAOOMEGUNOCVFHLR3IJTW7/action/citation_signature","submit_replication":"https://pith.science/pith/KS2YPAOOMEGUNOCVFHLR3IJTW7/action/replication_record"}},"created_at":"2026-05-18T01:39:18.867705+00:00","updated_at":"2026-05-18T01:39:18.867705+00:00"}