{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ITKZXQUKTGLYZRMU6URAY5ZNUR","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":"7c78167922016f23dd2a36ee16101df1e89f3452145c6c72053792d02c91485d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-28T15:58:56Z","title_canon_sha256":"9d7c5caf539612c756360bb6198a2b5541a37cfc4e19733c46babbedaa809e23"},"schema_version":"1.0","source":{"id":"2607.25900","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25900","created_at":"2026-07-29T01:26:09Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25900v1","created_at":"2026-07-29T01:26:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25900","created_at":"2026-07-29T01:26:09Z"},{"alias_kind":"pith_short_12","alias_value":"ITKZXQUKTGLY","created_at":"2026-07-29T01:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"ITKZXQUKTGLYZRMU","created_at":"2026-07-29T01:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"ITKZXQUK","created_at":"2026-07-29T01:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:efba720f9ad0c51322ddc2269406810f51d036bf8d403fbea743cafd4f20ee57","target":"graph","created_at":"2026-07-29T01:26:09Z","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/2607.25900/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We generalize the Abramsky--Brandenburger sheaf-theoretic treatment of contextuality by replacing probability distributions with distributions valued in a convex effect algebra \\(A\\). This yields a notion of \\(A\\)-valued measurement model encompassing probabilistic, deterministic, and quantum measurement structures within a single framework.\n  States \\(\\sigma:A\\to[0,1]\\) induce ordinary empirical models, allowing observable behaviour to be viewed as arising from effect-valued measurement data. This leads to a distinction between internal contextuality of \\(A\\)-models and observable contextuali","authors_text":"Samson Abramsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-28T15:58:56Z","title":"Effect-valued measurement models and contextuality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25900","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:dfd6c7cc803aceba8ce2c00b1ca9eb3698c3c7270c2b6fab84bbcf8bdc1322bd","target":"record","created_at":"2026-07-29T01:26:09Z","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":"7c78167922016f23dd2a36ee16101df1e89f3452145c6c72053792d02c91485d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-28T15:58:56Z","title_canon_sha256":"9d7c5caf539612c756360bb6198a2b5541a37cfc4e19733c46babbedaa809e23"},"schema_version":"1.0","source":{"id":"2607.25900","kind":"arxiv","version":1}},"canonical_sha256":"44d59bc28a99978cc594f5220c772da4511f1424f503940c82abdf3dc74eb6c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44d59bc28a99978cc594f5220c772da4511f1424f503940c82abdf3dc74eb6c2","first_computed_at":"2026-07-29T01:26:09.905428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T01:26:09.905428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+qMZ8QKSj6QURk6TIq4kRl5TRZI18y/ZnTKj3xNfLkWSjnj/x5+T6XhCXXcw6ZfpKEEVckakVS5bjdYyltPXAQ==","signature_status":"signed_v1","signed_at":"2026-07-29T01:26:09.906304Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.25900","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfd6c7cc803aceba8ce2c00b1ca9eb3698c3c7270c2b6fab84bbcf8bdc1322bd","sha256:efba720f9ad0c51322ddc2269406810f51d036bf8d403fbea743cafd4f20ee57"],"state_sha256":"52b945e4d64e53cd26bdf33176a29c63682ea28550f078b1d9e8ccdb61689fd6"}