{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:HUWVS4RTTJPAPBXG2SVYYF3KSZ","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":"008fb200e20dca4a9163f13a90a0dfffc76a707be698366367a1040ccdf520ba","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"quant-ph","submitted_at":"1999-04-28T06:24:43Z","title_canon_sha256":"12dfe84c927f35cc96b68c0aec334f4bbb61b9e638f3154749038e8b56b2d241"},"schema_version":"1.0","source":{"id":"quant-ph/9904094","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9904094","created_at":"2026-07-04T16:15:41Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9904094v2","created_at":"2026-07-04T16:15:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9904094","created_at":"2026-07-04T16:15:41Z"},{"alias_kind":"pith_short_12","alias_value":"HUWVS4RTTJPA","created_at":"2026-07-04T16:15:41Z"},{"alias_kind":"pith_short_16","alias_value":"HUWVS4RTTJPAPBXG","created_at":"2026-07-04T16:15:41Z"},{"alias_kind":"pith_short_8","alias_value":"HUWVS4RT","created_at":"2026-07-04T16:15:41Z"}],"graph_snapshots":[{"event_id":"sha256:e09c37e1bcf7491f3e89915977fae7bf2aae18203d7dc7242dda1edd00885af0","target":"graph","created_at":"2026-07-04T16:15:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/9904094/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Osterwalder and Schrader introduced a procedure to obtain a (Lorentzian) Hamiltonian quantum theory starting from a measure on the space of (Euclidean) histories of a scalar quantum field. In this paper, we extend that construction to more general theories which do not refer to any background, space-time metric (and in which the space of histories does not admit a natural linear structure). Examples include certain gauge theories, topological field theories and relativistic gravitational theories. The treatment is self-contained in the sense that an a priori knowledge of the Osterwalder-Schrad","authors_text":"A. Ashtekar, D. Marolf, J. Mour\\~ao, T. Thiemann","cross_cats":["gr-qc","hep-th"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1999-04-28T06:24:43Z","title":"Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9904094","kind":"arxiv","version":2},"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":"sha256:52d6f6cefc0749b571582069876c5205dd791ad849b9feeb97de2a419d87a2c4","target":"record","created_at":"2026-07-04T16:15:41Z","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":"008fb200e20dca4a9163f13a90a0dfffc76a707be698366367a1040ccdf520ba","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"quant-ph","submitted_at":"1999-04-28T06:24:43Z","title_canon_sha256":"12dfe84c927f35cc96b68c0aec334f4bbb61b9e638f3154749038e8b56b2d241"},"schema_version":"1.0","source":{"id":"quant-ph/9904094","kind":"arxiv","version":2}},"canonical_sha256":"3d2d5972339a5e0786e6d4ab8c176a9679c7afef254af7f5c4287e4661e0a42a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d2d5972339a5e0786e6d4ab8c176a9679c7afef254af7f5c4287e4661e0a42a","first_computed_at":"2026-07-04T16:15:41.580616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:15:41.580616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vF4kMu4xmgEDPKJKKpc1B1E2iiL0b0MF0Yl/amQHGFL88Dv/cPIbnS62y7LuQ9kkNpmJZU8GIt5U2EIgDqL7AA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:15:41.581115Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9904094","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52d6f6cefc0749b571582069876c5205dd791ad849b9feeb97de2a419d87a2c4","sha256:e09c37e1bcf7491f3e89915977fae7bf2aae18203d7dc7242dda1edd00885af0"],"state_sha256":"b060fb9011bcee4b700d52136f34bff2bc257222f9b8ace39c9f5044c0281000"}