{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:WDXA2R25IJ7JCSFQ6LOD6T2EAI","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":"b968b4086f6da9a8be6a2aec4bca7ca596bedae614b32d994054069f0ebd3274","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1994-03-18T21:09:26Z","title_canon_sha256":"f43a1fa13165500df6c2106ec4721a3fa4fef55fcc534052d99b8d2ec03c81b6"},"schema_version":"1.0","source":{"id":"hep-th/9403112","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9403112","created_at":"2026-07-04T15:57:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9403112v1","created_at":"2026-07-04T15:57:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9403112","created_at":"2026-07-04T15:57:42Z"},{"alias_kind":"pith_short_12","alias_value":"WDXA2R25IJ7J","created_at":"2026-07-04T15:57:42Z"},{"alias_kind":"pith_short_16","alias_value":"WDXA2R25IJ7JCSFQ","created_at":"2026-07-04T15:57:42Z"},{"alias_kind":"pith_short_8","alias_value":"WDXA2R25","created_at":"2026-07-04T15:57:42Z"}],"graph_snapshots":[{"event_id":"sha256:4320ac02c994e42712fc0ede4145e2d22e704e037426f21334a07ef236eecd6c","target":"graph","created_at":"2026-07-04T15:57:42Z","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/hep-th/9403112/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the Ashtekar-Isham extension of the classical configuration space of Yang-Mills theories (i.e. the moduli space of connections) is (topologically and measure-theoretically) the projective limit of a family of finite dimensional spaces associated with arbitrary finite lattices. These results are then used to prove that the classical configuration space is contained in a zero measure subset of this extension with respect to the diffeomorphism invariant Ashtekar-Lewandowski measure.\n  Much as in scalar field theory, this implies that states in the quantum theory associated with this ","authors_text":"Donald Marolf, Jose M. Mourao","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-03-18T21:09:26Z","title":"On the support of the Ashtekar-Lewandowski measure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9403112","kind":"arxiv","version":1},"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":"sha256:8b33b91dbc52e8982dcc0ea11fc284aab1f05441ea3b5204810e8b758f3e3f7e","target":"record","created_at":"2026-07-04T15:57:42Z","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":"b968b4086f6da9a8be6a2aec4bca7ca596bedae614b32d994054069f0ebd3274","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1994-03-18T21:09:26Z","title_canon_sha256":"f43a1fa13165500df6c2106ec4721a3fa4fef55fcc534052d99b8d2ec03c81b6"},"schema_version":"1.0","source":{"id":"hep-th/9403112","kind":"arxiv","version":1}},"canonical_sha256":"b0ee0d475d427e9148b0f2dc3f4f44020d4cf5cd0d129211203a28845779ec0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0ee0d475d427e9148b0f2dc3f4f44020d4cf5cd0d129211203a28845779ec0e","first_computed_at":"2026-07-04T15:57:42.852924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:57:42.852924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sltDBJtXpRsn6fQFLVea4hRU4lIkEQ86Xo3RUXW4ON4nBZHFkwjuBAzyrLZ8cXPElr6+nmS3yuOUZEGVvgwoBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:57:42.853290Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9403112","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b33b91dbc52e8982dcc0ea11fc284aab1f05441ea3b5204810e8b758f3e3f7e","sha256:4320ac02c994e42712fc0ede4145e2d22e704e037426f21334a07ef236eecd6c"],"state_sha256":"ba6415e45201147917f99c158da5b07b301132a68673cf060c3b8d2e6a99bbf6"}