{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:RLKLFWC5O5R5PWE3CH7TEFE2LM","short_pith_number":"pith:RLKLFWC5","canonical_record":{"source":{"id":"2606.25531","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-24T08:07:59Z","cross_cats_sorted":[],"title_canon_sha256":"2a740cba206de17923740f38e569746668006cc3153b9f0ca8ad77c0385d2ae2","abstract_canon_sha256":"285d9099c71cabe1f90116f137891aaedfbc7e052d065ab7399e68f8b1740814"},"schema_version":"1.0"},"canonical_sha256":"8ad4b2d85d7763d7d89b11ff32149a5b03333c7d19d2a9a392abaef51d079561","source":{"kind":"arxiv","id":"2606.25531","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.25531","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.25531v1","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.25531","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"pith_short_12","alias_value":"RLKLFWC5O5R5","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"pith_short_16","alias_value":"RLKLFWC5O5R5PWE3","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"pith_short_8","alias_value":"RLKLFWC5","created_at":"2026-06-25T01:18:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:RLKLFWC5O5R5PWE3CH7TEFE2LM","target":"record","payload":{"canonical_record":{"source":{"id":"2606.25531","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-24T08:07:59Z","cross_cats_sorted":[],"title_canon_sha256":"2a740cba206de17923740f38e569746668006cc3153b9f0ca8ad77c0385d2ae2","abstract_canon_sha256":"285d9099c71cabe1f90116f137891aaedfbc7e052d065ab7399e68f8b1740814"},"schema_version":"1.0"},"canonical_sha256":"8ad4b2d85d7763d7d89b11ff32149a5b03333c7d19d2a9a392abaef51d079561","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-25T01:18:08.036442Z","signature_b64":"EznconH/cIKczJgYM054Py5xuZ2jgb+l+p+Ad1Hb4euA3jIUP/UrqEfZA+HvdVCnz3EnGUdj9K2FiDIu4/xMBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ad4b2d85d7763d7d89b11ff32149a5b03333c7d19d2a9a392abaef51d079561","last_reissued_at":"2026-06-25T01:18:08.036032Z","signature_status":"signed_v1","first_computed_at":"2026-06-25T01:18:08.036032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.25531","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":"2026-06-25T01:18:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h2BrbkU0JZZYdoUJXlx+com4dzwMLJKqTvb9MA+3brVpdEBCQEbWKSB1lag6YWdzM36Xy7KF3E0H3hQztI7qCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T14:10:11.263726Z"},"content_sha256":"ab9d6e12331420389253f6c1c61d196c6013bb2d8613f1276e3bfabb36ffce8f","schema_version":"1.0","event_id":"sha256:ab9d6e12331420389253f6c1c61d196c6013bb2d8613f1276e3bfabb36ffce8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:RLKLFWC5O5R5PWE3CH7TEFE2LM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Subhomogeneous Operator Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Markus Dannem\\\"uller, Tim Netzer","submitted_at":"2026-06-24T08:07:59Z","abstract_excerpt":"We study subhomogeneity for finite-dimensional operator systems, and collect and extend characterizations in terms of the $C^*$-envelope, $d$-maximality, complete positivity, dual $d$-minimality, and non-commutative boundary conditions. We then show that the dual of a subhomogeneous operator system, while not necessarily subhomogeneous itself, is always a quotient of a subhomogeneous system. We complement these characterizations with examples and counterexamples, including minimal and maximal systems over certain polyhedral cones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.25531","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/2606.25531/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":"2026-06-25T01:18:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jGSDKWCZhAxdMZvYEOlj8YFUrJ4K+ZijTAPcZ1heQbEIwXhFySDTyPr+XsUvdPv3vpg5LgylNbmoVfoj9h+HBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T14:10:11.264099Z"},"content_sha256":"e50b948c57aee249deb42a69eac84b308d58c82c20872cd8b0bba2f2136d2737","schema_version":"1.0","event_id":"sha256:e50b948c57aee249deb42a69eac84b308d58c82c20872cd8b0bba2f2136d2737"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RLKLFWC5O5R5PWE3CH7TEFE2LM/bundle.json","state_url":"https://pith.science/pith/RLKLFWC5O5R5PWE3CH7TEFE2LM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RLKLFWC5O5R5PWE3CH7TEFE2LM/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":"2026-06-25T14:10:11Z","links":{"resolver":"https://pith.science/pith/RLKLFWC5O5R5PWE3CH7TEFE2LM","bundle":"https://pith.science/pith/RLKLFWC5O5R5PWE3CH7TEFE2LM/bundle.json","state":"https://pith.science/pith/RLKLFWC5O5R5PWE3CH7TEFE2LM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RLKLFWC5O5R5PWE3CH7TEFE2LM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RLKLFWC5O5R5PWE3CH7TEFE2LM","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":"285d9099c71cabe1f90116f137891aaedfbc7e052d065ab7399e68f8b1740814","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-24T08:07:59Z","title_canon_sha256":"2a740cba206de17923740f38e569746668006cc3153b9f0ca8ad77c0385d2ae2"},"schema_version":"1.0","source":{"id":"2606.25531","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.25531","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.25531v1","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.25531","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"pith_short_12","alias_value":"RLKLFWC5O5R5","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"pith_short_16","alias_value":"RLKLFWC5O5R5PWE3","created_at":"2026-06-25T01:18:08Z"},{"alias_kind":"pith_short_8","alias_value":"RLKLFWC5","created_at":"2026-06-25T01:18:08Z"}],"graph_snapshots":[{"event_id":"sha256:e50b948c57aee249deb42a69eac84b308d58c82c20872cd8b0bba2f2136d2737","target":"graph","created_at":"2026-06-25T01:18:08Z","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/2606.25531/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study subhomogeneity for finite-dimensional operator systems, and collect and extend characterizations in terms of the $C^*$-envelope, $d$-maximality, complete positivity, dual $d$-minimality, and non-commutative boundary conditions. We then show that the dual of a subhomogeneous operator system, while not necessarily subhomogeneous itself, is always a quotient of a subhomogeneous system. We complement these characterizations with examples and counterexamples, including minimal and maximal systems over certain polyhedral cones.","authors_text":"Markus Dannem\\\"uller, Tim Netzer","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-24T08:07:59Z","title":"On Subhomogeneous Operator Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.25531","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:ab9d6e12331420389253f6c1c61d196c6013bb2d8613f1276e3bfabb36ffce8f","target":"record","created_at":"2026-06-25T01:18:08Z","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":"285d9099c71cabe1f90116f137891aaedfbc7e052d065ab7399e68f8b1740814","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2026-06-24T08:07:59Z","title_canon_sha256":"2a740cba206de17923740f38e569746668006cc3153b9f0ca8ad77c0385d2ae2"},"schema_version":"1.0","source":{"id":"2606.25531","kind":"arxiv","version":1}},"canonical_sha256":"8ad4b2d85d7763d7d89b11ff32149a5b03333c7d19d2a9a392abaef51d079561","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ad4b2d85d7763d7d89b11ff32149a5b03333c7d19d2a9a392abaef51d079561","first_computed_at":"2026-06-25T01:18:08.036032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T01:18:08.036032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EznconH/cIKczJgYM054Py5xuZ2jgb+l+p+Ad1Hb4euA3jIUP/UrqEfZA+HvdVCnz3EnGUdj9K2FiDIu4/xMBw==","signature_status":"signed_v1","signed_at":"2026-06-25T01:18:08.036442Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.25531","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab9d6e12331420389253f6c1c61d196c6013bb2d8613f1276e3bfabb36ffce8f","sha256:e50b948c57aee249deb42a69eac84b308d58c82c20872cd8b0bba2f2136d2737"],"state_sha256":"3e430e594f60727094247d44f2f46d59272c211270dd73bd0419b5e331be02e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H2JoFi5Tr3SyainyCA5ads3RAxtWyZ8DsuXyogjuAP5DEGJIYtymXDsrX4G0QCbcCxL6wQWg64XcADVX/WhpAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T14:10:11.266139Z","bundle_sha256":"66d5f6c65da5bdafa6a00007f03237df0e004d37523e92ad5e7ab86bacf5d7d8"}}