{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZCWAKMT3TFIMQRS6NQKFHMHHWR","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":"4e6682bdfc5e4cfb71c38292d5091626fa00528e0b10b857557f90b21c8579f8","cross_cats_sorted":["gr-qc","math.FA","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-10-28T19:07:49Z","title_canon_sha256":"0e28ba29ada8863a83991dd3b7f554336190279f52beb926d00351d29212896e"},"schema_version":"1.0","source":{"id":"1410.7736","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7736","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7736v3","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7736","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZCWAKMT3TFIM","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZCWAKMT3TFIMQRS6","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZCWAKMT3","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:2fa72937ccc1c11a82d29e25e6eadac37e7702a367c781082a3c06fec000d6d6","target":"graph","created_at":"2026-05-18T02:29:10Z","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"},"paper":{"abstract_excerpt":"We show that measure theoretical results concerning the Ashtekar-Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compactification of the line and associated Haar measure. We present also a characterization of the support of the measure associated with the canonical quantization of the free massive scalar field, following closely well known analogous results concerning the Euclidean path integral measure.","authors_text":"Jos\\'e M. Velhinho","cross_cats":["gr-qc","math.FA","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-10-28T19:07:49Z","title":"Local Properties of Measures in Quantum Field Theory and Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7736","kind":"arxiv","version":3},"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:f79d1b16710d1abcc12d0624e661c563bc5b227c9955f91a8b13d3059b11be55","target":"record","created_at":"2026-05-18T02:29:10Z","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":"4e6682bdfc5e4cfb71c38292d5091626fa00528e0b10b857557f90b21c8579f8","cross_cats_sorted":["gr-qc","math.FA","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math-ph","submitted_at":"2014-10-28T19:07:49Z","title_canon_sha256":"0e28ba29ada8863a83991dd3b7f554336190279f52beb926d00351d29212896e"},"schema_version":"1.0","source":{"id":"1410.7736","kind":"arxiv","version":3}},"canonical_sha256":"c8ac05327b9950c8465e6c1453b0e7b4458a1110884e55a2b98f3b9f8848eea5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8ac05327b9950c8465e6c1453b0e7b4458a1110884e55a2b98f3b9f8848eea5","first_computed_at":"2026-05-18T02:29:10.429476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:10.429476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aQgloCwdl2T4pzjHPqiZzZ99w5VAa0nn4dNxJW1H4IHAgzciPH9uHvffS4apGs0hERZLbqF0JiBWKZ7iHAQYBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:10.430027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.7736","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f79d1b16710d1abcc12d0624e661c563bc5b227c9955f91a8b13d3059b11be55","sha256:2fa72937ccc1c11a82d29e25e6eadac37e7702a367c781082a3c06fec000d6d6"],"state_sha256":"2226bb6ba3c884645e950811cba2c6518bf5b60e2878f4619a33379ff576e9aa"}