{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:KOGVZI7CONMPK6KYTWXELGFPCB","short_pith_number":"pith:KOGVZI7C","canonical_record":{"source":{"id":"2303.10065","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-03-17T15:47:16Z","cross_cats_sorted":[],"title_canon_sha256":"37ff0cdd7cee4bc48730b014f11e3b2fbf88aea74489cbb00b484b41e7f93c72","abstract_canon_sha256":"143c5084fc6a44c7eacead795689481161394f3e33e76ffa1758e204a110c87e"},"schema_version":"1.0"},"canonical_sha256":"538d5ca3e27358f579589dae4598af104e5ba42497376b5ef3ca615769a1de3b","source":{"kind":"arxiv","id":"2303.10065","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.10065","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"arxiv_version","alias_value":"2303.10065v2","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.10065","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"pith_short_12","alias_value":"KOGVZI7CONMP","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"pith_short_16","alias_value":"KOGVZI7CONMPK6KY","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"pith_short_8","alias_value":"KOGVZI7C","created_at":"2026-07-05T06:52:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:KOGVZI7CONMPK6KYTWXELGFPCB","target":"record","payload":{"canonical_record":{"source":{"id":"2303.10065","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-03-17T15:47:16Z","cross_cats_sorted":[],"title_canon_sha256":"37ff0cdd7cee4bc48730b014f11e3b2fbf88aea74489cbb00b484b41e7f93c72","abstract_canon_sha256":"143c5084fc6a44c7eacead795689481161394f3e33e76ffa1758e204a110c87e"},"schema_version":"1.0"},"canonical_sha256":"538d5ca3e27358f579589dae4598af104e5ba42497376b5ef3ca615769a1de3b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:52:46.286501Z","signature_b64":"jjofOzDBbTf7jZdn5ncMUnA9zy8NIgsgre7W06aMHny59oErkFxtLEHwC0UNxlHoPXN2c3+EoBul65VbPPRMDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"538d5ca3e27358f579589dae4598af104e5ba42497376b5ef3ca615769a1de3b","last_reissued_at":"2026-07-05T06:52:46.286017Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:52:46.286017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.10065","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:52:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z98oUuiwII++ngk0N9bKACoWozrM4y9+pZBvOoE2il3rpYUQ5539NExsPRi3YNWgU0052kmYcaJOEbE66w+NCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:04:41.177461Z"},"content_sha256":"49cf7981cc720d8fb0773f8cfbae42dd27579e0ca750a5844683e2f460ac339b","schema_version":"1.0","event_id":"sha256:49cf7981cc720d8fb0773f8cfbae42dd27579e0ca750a5844683e2f460ac339b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:KOGVZI7CONMPK6KYTWXELGFPCB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nets of standard subspaces on non-compactly causal symmetric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Gestur Olafsson, Jan Frahm, Karl-Hermann Neeb","submitted_at":"2023-03-17T15:47:16Z","abstract_excerpt":"Let G be a connected simple linear Lie group and H in G a symmetric subgroup such that the corresponding symmetric space G/H is non-compactly causal. We show that any irreducible unitary representation of G leads naturally to a net of standard subspaces on G/H that is isotone, covariant and has the Reeh--Schlieder and the Bisognano--Wichmann property. We also show that this result extends to the universal covering group of SL(2,R) which has some interesting application to intersections of standard subspaces associated to representations of such groups. For this a detailed study of hyperfunctio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.10065","kind":"arxiv","version":2},"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/2303.10065/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":"2026-07-05T06:52:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ODnQ62S9EyLmDVYogzMQY7VTEUhXDnBvrWqwEvONZg8v8dnJloukPLxZXiIdq9yp3B2HJaCnX5YgUS6Szz9/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:04:41.177995Z"},"content_sha256":"5fddcd73347ecdd97b763819df951b4ca05e33eedcda68dc4d9ced08a3f721a6","schema_version":"1.0","event_id":"sha256:5fddcd73347ecdd97b763819df951b4ca05e33eedcda68dc4d9ced08a3f721a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOGVZI7CONMPK6KYTWXELGFPCB/bundle.json","state_url":"https://pith.science/pith/KOGVZI7CONMPK6KYTWXELGFPCB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOGVZI7CONMPK6KYTWXELGFPCB/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":"2026-08-12T20:04:41Z","links":{"resolver":"https://pith.science/pith/KOGVZI7CONMPK6KYTWXELGFPCB","bundle":"https://pith.science/pith/KOGVZI7CONMPK6KYTWXELGFPCB/bundle.json","state":"https://pith.science/pith/KOGVZI7CONMPK6KYTWXELGFPCB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOGVZI7CONMPK6KYTWXELGFPCB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:KOGVZI7CONMPK6KYTWXELGFPCB","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":"143c5084fc6a44c7eacead795689481161394f3e33e76ffa1758e204a110c87e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-03-17T15:47:16Z","title_canon_sha256":"37ff0cdd7cee4bc48730b014f11e3b2fbf88aea74489cbb00b484b41e7f93c72"},"schema_version":"1.0","source":{"id":"2303.10065","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.10065","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"arxiv_version","alias_value":"2303.10065v2","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.10065","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"pith_short_12","alias_value":"KOGVZI7CONMP","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"pith_short_16","alias_value":"KOGVZI7CONMPK6KY","created_at":"2026-07-05T06:52:46Z"},{"alias_kind":"pith_short_8","alias_value":"KOGVZI7C","created_at":"2026-07-05T06:52:46Z"}],"graph_snapshots":[{"event_id":"sha256:5fddcd73347ecdd97b763819df951b4ca05e33eedcda68dc4d9ced08a3f721a6","target":"graph","created_at":"2026-07-05T06:52:46Z","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/2303.10065/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let G be a connected simple linear Lie group and H in G a symmetric subgroup such that the corresponding symmetric space G/H is non-compactly causal. We show that any irreducible unitary representation of G leads naturally to a net of standard subspaces on G/H that is isotone, covariant and has the Reeh--Schlieder and the Bisognano--Wichmann property. We also show that this result extends to the universal covering group of SL(2,R) which has some interesting application to intersections of standard subspaces associated to representations of such groups. For this a detailed study of hyperfunctio","authors_text":"Gestur Olafsson, Jan Frahm, Karl-Hermann Neeb","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-03-17T15:47:16Z","title":"Nets of standard subspaces on non-compactly causal symmetric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.10065","kind":"arxiv","version":2},"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":"sha256:49cf7981cc720d8fb0773f8cfbae42dd27579e0ca750a5844683e2f460ac339b","target":"record","created_at":"2026-07-05T06:52:46Z","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":"143c5084fc6a44c7eacead795689481161394f3e33e76ffa1758e204a110c87e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-03-17T15:47:16Z","title_canon_sha256":"37ff0cdd7cee4bc48730b014f11e3b2fbf88aea74489cbb00b484b41e7f93c72"},"schema_version":"1.0","source":{"id":"2303.10065","kind":"arxiv","version":2}},"canonical_sha256":"538d5ca3e27358f579589dae4598af104e5ba42497376b5ef3ca615769a1de3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"538d5ca3e27358f579589dae4598af104e5ba42497376b5ef3ca615769a1de3b","first_computed_at":"2026-07-05T06:52:46.286017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:52:46.286017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jjofOzDBbTf7jZdn5ncMUnA9zy8NIgsgre7W06aMHny59oErkFxtLEHwC0UNxlHoPXN2c3+EoBul65VbPPRMDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:52:46.286501Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.10065","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49cf7981cc720d8fb0773f8cfbae42dd27579e0ca750a5844683e2f460ac339b","sha256:5fddcd73347ecdd97b763819df951b4ca05e33eedcda68dc4d9ced08a3f721a6"],"state_sha256":"2b21ab4338fa81547d180a0d2c0f124f17a4decf1f54617d81c17abfb06df235"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nJboNptBTJTfFADDx3tIGCfC7r7CQOagTcvRcCskjtpz5JK/QoWq7S4T1NI2SHIOQ7U6YjBu0GnVtB5F61H+CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T20:04:41.182673Z","bundle_sha256":"7edec497705a2d19079e2f40ddff702898728dfa28e21474e688c38a33e26664"}}