{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:OICFRYA47K56BER3RY37CA4QY5","short_pith_number":"pith:OICFRYA4","canonical_record":{"source":{"id":"2403.15349","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2024-03-22T17:00:26Z","cross_cats_sorted":[],"title_canon_sha256":"6bac1e5fb33a9651db25faa9b6787ec29fd9124f7f4d2fbf2e1e8a6c7f9edf1f","abstract_canon_sha256":"b9c7834f2ade6eb24cc3537f4825aafc35fc260dbb682aee74c2599b82d3c1f4"},"schema_version":"1.0"},"canonical_sha256":"720458e01cfabbe0923b8e37f10390c76e6e35e39abe5fcfef62f854922e7551","source":{"kind":"arxiv","id":"2403.15349","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.15349","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"2403.15349v1","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.15349","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"OICFRYA47K56","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"pith_short_16","alias_value":"OICFRYA47K56BER3","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"pith_short_8","alias_value":"OICFRYA4","created_at":"2026-07-05T07:59:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:OICFRYA47K56BER3RY37CA4QY5","target":"record","payload":{"canonical_record":{"source":{"id":"2403.15349","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2024-03-22T17:00:26Z","cross_cats_sorted":[],"title_canon_sha256":"6bac1e5fb33a9651db25faa9b6787ec29fd9124f7f4d2fbf2e1e8a6c7f9edf1f","abstract_canon_sha256":"b9c7834f2ade6eb24cc3537f4825aafc35fc260dbb682aee74c2599b82d3c1f4"},"schema_version":"1.0"},"canonical_sha256":"720458e01cfabbe0923b8e37f10390c76e6e35e39abe5fcfef62f854922e7551","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:59:33.336630Z","signature_b64":"0Lahg52u/Q7lWqOds4Oe56RTMe7Th0zs5o6i/yt1pSv6++sJditQPwu1U57IrI9R3qt87015RwxFwr97dgwIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"720458e01cfabbe0923b8e37f10390c76e6e35e39abe5fcfef62f854922e7551","last_reissued_at":"2026-07-05T07:59:33.336268Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:59:33.336268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.15349","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UmBgZR290/BEJ/ojiSI7RBo0hOeGQPGoggxTOuMC3J7GEg9OQEJG4IQpYdj36b7ZfzP5O1LvhLEBihcAzeSKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:54:24.450810Z"},"content_sha256":"5ec003276a1509c64aab69929efe7c0da9d84e17209eba95a7bba83244a9aabe","schema_version":"1.0","event_id":"sha256:5ec003276a1509c64aab69929efe7c0da9d84e17209eba95a7bba83244a9aabe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:OICFRYA47K56BER3RY37CA4QY5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Admissibility of C*-Covers for Operator Algebra Dynamical Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Mitch Hamidi","submitted_at":"2024-03-22T17:00:26Z","abstract_excerpt":"We characterize when a C*-cover admits a C*-dynamical extension of dynamics on an operator algebra in terms of the boundary ideal structure for the operator algebra in its maximal representation and show that the C*-covers that admit such an extension form a complete lattice. We study dynamical systems arising from groups acting via inner automorphisms in a C*-cover and produce an example of a C*-cover that admits no extension of dynamics on a finite-dimensional non-self-adjoint operator algebra. We construct a partial action on a class of C*-covers that recovers the crossed product of an oper"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.15349","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.15349/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zR/Chd7oOA5OlCQlVYqK7H/SktR4WvBmSsV3bZEReeYn07nMAFjjO9lOXnxRI4lyQcUiWkXZrMBKxhJxTC6zCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:54:24.451250Z"},"content_sha256":"896b5f471469e1ef7e179652d768c7fcf14f5a42ca3178379fe73439b531e353","schema_version":"1.0","event_id":"sha256:896b5f471469e1ef7e179652d768c7fcf14f5a42ca3178379fe73439b531e353"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OICFRYA47K56BER3RY37CA4QY5/bundle.json","state_url":"https://pith.science/pith/OICFRYA47K56BER3RY37CA4QY5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OICFRYA47K56BER3RY37CA4QY5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-18T01:54:24Z","links":{"resolver":"https://pith.science/pith/OICFRYA47K56BER3RY37CA4QY5","bundle":"https://pith.science/pith/OICFRYA47K56BER3RY37CA4QY5/bundle.json","state":"https://pith.science/pith/OICFRYA47K56BER3RY37CA4QY5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OICFRYA47K56BER3RY37CA4QY5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OICFRYA47K56BER3RY37CA4QY5","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":"b9c7834f2ade6eb24cc3537f4825aafc35fc260dbb682aee74c2599b82d3c1f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2024-03-22T17:00:26Z","title_canon_sha256":"6bac1e5fb33a9651db25faa9b6787ec29fd9124f7f4d2fbf2e1e8a6c7f9edf1f"},"schema_version":"1.0","source":{"id":"2403.15349","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.15349","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"2403.15349v1","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.15349","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"OICFRYA47K56","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"pith_short_16","alias_value":"OICFRYA47K56BER3","created_at":"2026-07-05T07:59:33Z"},{"alias_kind":"pith_short_8","alias_value":"OICFRYA4","created_at":"2026-07-05T07:59:33Z"}],"graph_snapshots":[{"event_id":"sha256:896b5f471469e1ef7e179652d768c7fcf14f5a42ca3178379fe73439b531e353","target":"graph","created_at":"2026-07-05T07:59:33Z","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/2403.15349/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We characterize when a C*-cover admits a C*-dynamical extension of dynamics on an operator algebra in terms of the boundary ideal structure for the operator algebra in its maximal representation and show that the C*-covers that admit such an extension form a complete lattice. We study dynamical systems arising from groups acting via inner automorphisms in a C*-cover and produce an example of a C*-cover that admits no extension of dynamics on a finite-dimensional non-self-adjoint operator algebra. We construct a partial action on a class of C*-covers that recovers the crossed product of an oper","authors_text":"Mitch Hamidi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2024-03-22T17:00:26Z","title":"Admissibility of C*-Covers for Operator Algebra Dynamical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.15349","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":"sha256:5ec003276a1509c64aab69929efe7c0da9d84e17209eba95a7bba83244a9aabe","target":"record","created_at":"2026-07-05T07:59:33Z","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":"b9c7834f2ade6eb24cc3537f4825aafc35fc260dbb682aee74c2599b82d3c1f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2024-03-22T17:00:26Z","title_canon_sha256":"6bac1e5fb33a9651db25faa9b6787ec29fd9124f7f4d2fbf2e1e8a6c7f9edf1f"},"schema_version":"1.0","source":{"id":"2403.15349","kind":"arxiv","version":1}},"canonical_sha256":"720458e01cfabbe0923b8e37f10390c76e6e35e39abe5fcfef62f854922e7551","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"720458e01cfabbe0923b8e37f10390c76e6e35e39abe5fcfef62f854922e7551","first_computed_at":"2026-07-05T07:59:33.336268Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:59:33.336268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Lahg52u/Q7lWqOds4Oe56RTMe7Th0zs5o6i/yt1pSv6++sJditQPwu1U57IrI9R3qt87015RwxFwr97dgwIAw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:59:33.336630Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.15349","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ec003276a1509c64aab69929efe7c0da9d84e17209eba95a7bba83244a9aabe","sha256:896b5f471469e1ef7e179652d768c7fcf14f5a42ca3178379fe73439b531e353"],"state_sha256":"f5e3e8037d5449e4b09ea7adcc84b4d234b57fbb9a103c444b1d9e3cee08e118"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wYwxu6aA8LotcqVRSjT1Cr0hxfR3GBNpqwIjSXmPkxqzLJRJuoNrBNatACOCPFR5rCgbtDXU/L4bH56yerspCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T01:54:24.453493Z","bundle_sha256":"295f047dd9c01a2cac293b2131559890626581aa7eccb7d6edf19e2a2ccea1dc"}}