{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:AVEX53F7PLFKWLRAGQNBDFONPS","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":"abd864f4f4fc6ba442f06553532aa24e5761a30e16136941af4350acdb7910d0","cross_cats_sorted":["cs.LO","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-03T10:32:34Z","title_canon_sha256":"71befb1d607eb32a1eaee1d3a7cf58394030a7ca65f0289a626688ee20ed55ee"},"schema_version":"1.0","source":{"id":"2103.02302","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.02302","created_at":"2026-07-05T02:20:02Z"},{"alias_kind":"arxiv_version","alias_value":"2103.02302v1","created_at":"2026-07-05T02:20:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.02302","created_at":"2026-07-05T02:20:02Z"},{"alias_kind":"pith_short_12","alias_value":"AVEX53F7PLFK","created_at":"2026-07-05T02:20:02Z"},{"alias_kind":"pith_short_16","alias_value":"AVEX53F7PLFKWLRA","created_at":"2026-07-05T02:20:02Z"},{"alias_kind":"pith_short_8","alias_value":"AVEX53F7","created_at":"2026-07-05T02:20:02Z"}],"graph_snapshots":[{"event_id":"sha256:1e6a936889a234cb46e11dbd6ff033ba7ab6249f01bcc12bbd25bdaea93ddab2","target":"graph","created_at":"2026-07-05T02:20:02Z","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/2103.02302/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The motivation for this thesis was to recast quantum self-testing [MY98,MY04] in operational terms. The result is a category-theoretic framework for discussing the following general question: How do different implementations of the same input-output process compare to each other? In the proposed framework, an input-output process is modelled by a causally structured channel in some fixed theory, and its implementations are modelled by causally structured dilations formalising hidden side-computations. These dilations compare through a pre-order formalising relative strength of side-computation","authors_text":"Nicholas Gauguin Houghton-Larsen","cross_cats":["cs.LO","math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-03T10:32:34Z","title":"A Mathematical Framework for Causally Structured Dilations and its Relation to Quantum Self-Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.02302","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:e5aa8657989f30634674d9a57a7af1db040cb1fb9955bb772e4e9706edfde954","target":"record","created_at":"2026-07-05T02:20:02Z","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":"abd864f4f4fc6ba442f06553532aa24e5761a30e16136941af4350acdb7910d0","cross_cats_sorted":["cs.LO","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-03-03T10:32:34Z","title_canon_sha256":"71befb1d607eb32a1eaee1d3a7cf58394030a7ca65f0289a626688ee20ed55ee"},"schema_version":"1.0","source":{"id":"2103.02302","kind":"arxiv","version":1}},"canonical_sha256":"05497eecbf7acaab2e20341a1195cd7cbad3b7396c17248b89f8308d5965fed7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05497eecbf7acaab2e20341a1195cd7cbad3b7396c17248b89f8308d5965fed7","first_computed_at":"2026-07-05T02:20:02.882491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:20:02.882491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4FsUC+kiJonGEEkRSdkShR2cU6Rhn3bM7cQ/XUCEmOX2WtnlhjUz4kSH8Xyi5dtNrWG59fsAYhfzefmgavLPAg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:20:02.882900Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.02302","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5aa8657989f30634674d9a57a7af1db040cb1fb9955bb772e4e9706edfde954","sha256:1e6a936889a234cb46e11dbd6ff033ba7ab6249f01bcc12bbd25bdaea93ddab2"],"state_sha256":"926c41c3377556b1b219fcc5cce9c21510470ca02ab4c12a3e21cd3af157f72c"}