{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6QA5Y3QSXSEPO2NGWDFG7BDX4A","short_pith_number":"pith:6QA5Y3QS","canonical_record":{"source":{"id":"1601.00593","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-01-04T18:03:33Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"aa8d8d82bfe3fbfa157699b7d2f8b529fbf5eeae9bd62135849bd0850c61ea50","abstract_canon_sha256":"cab11ef3c811ce63b12f36b141bf1dc4d86a9f2b11351e08b1b941d0fa8b61ae"},"schema_version":"1.0"},"canonical_sha256":"f401dc6e12bc88f769a6b0ca6f8477e0335db2b7492bbf61442fe709972639d4","source":{"kind":"arxiv","id":"1601.00593","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00593","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00593v3","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00593","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"6QA5Y3QSXSEP","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"6QA5Y3QSXSEPO2NG","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"6QA5Y3QS","created_at":"2026-07-05T00:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6QA5Y3QSXSEPO2NGWDFG7BDX4A","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00593","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-01-04T18:03:33Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"aa8d8d82bfe3fbfa157699b7d2f8b529fbf5eeae9bd62135849bd0850c61ea50","abstract_canon_sha256":"cab11ef3c811ce63b12f36b141bf1dc4d86a9f2b11351e08b1b941d0fa8b61ae"},"schema_version":"1.0"},"canonical_sha256":"f401dc6e12bc88f769a6b0ca6f8477e0335db2b7492bbf61442fe709972639d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:29:55.111974Z","signature_b64":"0v0Nhy+KbY2SVspa3PCvIokh1U0shmDBPeyqeWt6rQca4Wi67Ri6olPoTWrR0ukjt3E/K2jXByIe+sZ1MY/iDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f401dc6e12bc88f769a6b0ca6f8477e0335db2b7492bbf61442fe709972639d4","last_reissued_at":"2026-07-05T00:29:55.111553Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:29:55.111553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00593","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:29:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bnY8/yjas2jPyfJi4cEteStxSYcaS8NQyVr7hTfWKkKnOgbsM+xMum7PX2jDFvEeANY0yNyBOzVE5rESFoCNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T07:14:04.098187Z"},"content_sha256":"856333530c1d9e14b08619001a83a4f677b1306694e2d64f8c30cca5329ccb47","schema_version":"1.0","event_id":"sha256:856333530c1d9e14b08619001a83a4f677b1306694e2d64f8c30cca5329ccb47"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6QA5Y3QSXSEPO2NGWDFG7BDX4A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Martijn Caspers","submitted_at":"2016-01-04T18:03:33Z","abstract_excerpt":"For a right-angled Coxeter system $(W,S)$ and $q>0$, let $\\mathcal{M}_q$ be the associated Hecke von Neumann algebra, which is generated by self-adjoint operators $T_s, s \\in S$ satisfying the Hecke relation $(\\sqrt{q}\\: T_s - q) (\\sqrt{q} \\: T_s + 1) = 0$ as well as suitable commutation relations. Under the assumption that $(W, S)$ is irreducible and $\\vert S \\vert \\geq 3$ it was proved by Garncarek that $\\mathcal{M}_q$ is a factor (of type II$_1$) for a range $q \\in [\\rho, \\rho^{-1}]$ and otherwise $\\mathcal{M}_q$ is the direct sum of a II$_1$-factor and $\\mathbb{C}$.\n  In this paper we prov"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00593","kind":"arxiv","version":3},"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/1601.00593/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":"2026-07-05T00:29:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7+p0eIbJlnX0LpCFbHFXUw8xY6TE7MFPWcWGghFy9cC6WAg9GJo/QQjLmiTS5ePdxal2SlxAT6HleksnbXDDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T07:14:04.098567Z"},"content_sha256":"9dc2f200c6b3fe70ebaedef4b46381579e9df2c91a7667cae9b519558f3f0341","schema_version":"1.0","event_id":"sha256:9dc2f200c6b3fe70ebaedef4b46381579e9df2c91a7667cae9b519558f3f0341"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6QA5Y3QSXSEPO2NGWDFG7BDX4A/bundle.json","state_url":"https://pith.science/pith/6QA5Y3QSXSEPO2NGWDFG7BDX4A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6QA5Y3QSXSEPO2NGWDFG7BDX4A/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":"2026-08-18T07:14:04Z","links":{"resolver":"https://pith.science/pith/6QA5Y3QSXSEPO2NGWDFG7BDX4A","bundle":"https://pith.science/pith/6QA5Y3QSXSEPO2NGWDFG7BDX4A/bundle.json","state":"https://pith.science/pith/6QA5Y3QSXSEPO2NGWDFG7BDX4A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6QA5Y3QSXSEPO2NGWDFG7BDX4A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6QA5Y3QSXSEPO2NGWDFG7BDX4A","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":"cab11ef3c811ce63b12f36b141bf1dc4d86a9f2b11351e08b1b941d0fa8b61ae","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-01-04T18:03:33Z","title_canon_sha256":"aa8d8d82bfe3fbfa157699b7d2f8b529fbf5eeae9bd62135849bd0850c61ea50"},"schema_version":"1.0","source":{"id":"1601.00593","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00593","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00593v3","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00593","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"6QA5Y3QSXSEP","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"6QA5Y3QSXSEPO2NG","created_at":"2026-07-05T00:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"6QA5Y3QS","created_at":"2026-07-05T00:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:9dc2f200c6b3fe70ebaedef4b46381579e9df2c91a7667cae9b519558f3f0341","target":"graph","created_at":"2026-07-05T00:29:55Z","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/1601.00593/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a right-angled Coxeter system $(W,S)$ and $q>0$, let $\\mathcal{M}_q$ be the associated Hecke von Neumann algebra, which is generated by self-adjoint operators $T_s, s \\in S$ satisfying the Hecke relation $(\\sqrt{q}\\: T_s - q) (\\sqrt{q} \\: T_s + 1) = 0$ as well as suitable commutation relations. Under the assumption that $(W, S)$ is irreducible and $\\vert S \\vert \\geq 3$ it was proved by Garncarek that $\\mathcal{M}_q$ is a factor (of type II$_1$) for a range $q \\in [\\rho, \\rho^{-1}]$ and otherwise $\\mathcal{M}_q$ is the direct sum of a II$_1$-factor and $\\mathbb{C}$.\n  In this paper we prov","authors_text":"Martijn Caspers","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-01-04T18:03:33Z","title":"Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00593","kind":"arxiv","version":3},"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":"sha256:856333530c1d9e14b08619001a83a4f677b1306694e2d64f8c30cca5329ccb47","target":"record","created_at":"2026-07-05T00:29:55Z","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":"cab11ef3c811ce63b12f36b141bf1dc4d86a9f2b11351e08b1b941d0fa8b61ae","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-01-04T18:03:33Z","title_canon_sha256":"aa8d8d82bfe3fbfa157699b7d2f8b529fbf5eeae9bd62135849bd0850c61ea50"},"schema_version":"1.0","source":{"id":"1601.00593","kind":"arxiv","version":3}},"canonical_sha256":"f401dc6e12bc88f769a6b0ca6f8477e0335db2b7492bbf61442fe709972639d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f401dc6e12bc88f769a6b0ca6f8477e0335db2b7492bbf61442fe709972639d4","first_computed_at":"2026-07-05T00:29:55.111553Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:29:55.111553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0v0Nhy+KbY2SVspa3PCvIokh1U0shmDBPeyqeWt6rQca4Wi67Ri6olPoTWrR0ukjt3E/K2jXByIe+sZ1MY/iDg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:29:55.111974Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00593","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:856333530c1d9e14b08619001a83a4f677b1306694e2d64f8c30cca5329ccb47","sha256:9dc2f200c6b3fe70ebaedef4b46381579e9df2c91a7667cae9b519558f3f0341"],"state_sha256":"29a8c6367a5a3adc32b9eb675e6fa54c801af02697ea0a647768b87d6dc2a27e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qi6qAQjeVDXonAbwyLg+KaAjxlDz3iDSxro5jSZBHLp5c1Rhl0ZdjICs0uKAQEPEumDeG/Yp5afHYtjtyGyICw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T07:14:04.100886Z","bundle_sha256":"14cb74c5d79c6e6851c275d8501eca3e4f56320b8c1e947458b698534c4e1768"}}