{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:SGYJEDZBJUUTR25SC43RMSGEJO","short_pith_number":"pith:SGYJEDZB","canonical_record":{"source":{"id":"0801.4259","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-01-28T12:52:34Z","cross_cats_sorted":[],"title_canon_sha256":"1291da3cef6e72f8d25e5268b5c3567556de4cdfbd679bc503852dece74eed54","abstract_canon_sha256":"b09fbf72fee8f7e9ce8dd3bb36ac544cb007ac573fb4fb0071ba4b0ca0ef7ee6"},"schema_version":"1.0"},"canonical_sha256":"91b0920f214d2938ebb217371648c44bb78afacd423d3c6a56b46db1d72d9804","source":{"kind":"arxiv","id":"0801.4259","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.4259","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"0801.4259v2","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.4259","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"SGYJEDZBJUUT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"SGYJEDZBJUUTR25S","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"SGYJEDZB","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:SGYJEDZBJUUTR25SC43RMSGEJO","target":"record","payload":{"canonical_record":{"source":{"id":"0801.4259","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-01-28T12:52:34Z","cross_cats_sorted":[],"title_canon_sha256":"1291da3cef6e72f8d25e5268b5c3567556de4cdfbd679bc503852dece74eed54","abstract_canon_sha256":"b09fbf72fee8f7e9ce8dd3bb36ac544cb007ac573fb4fb0071ba4b0ca0ef7ee6"},"schema_version":"1.0"},"canonical_sha256":"91b0920f214d2938ebb217371648c44bb78afacd423d3c6a56b46db1d72d9804","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:26.823261Z","signature_b64":"1IkCFHCUxAYuzb6okT81Pfz2JXBQdcRFLIlke+W51NzQrPwO0/ucxU7YvdqP8av8E3gHVKXJB4tw1SLSnaFRAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91b0920f214d2938ebb217371648c44bb78afacd423d3c6a56b46db1d72d9804","last_reissued_at":"2026-05-18T04:30:26.822843Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:26.822843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0801.4259","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":"2026-05-18T04:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q0sT2XPE7Tkm6EtvJuceGGPojTOmj6NmReFPegAnOx5b7kbaUtayWkQa9S/jmFaUiFPX8oCmrFZ22ZbkU08YCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T23:27:17.436170Z"},"content_sha256":"a87ec7cb726e25f2ea0e6f3eb9122324b815830b730eeb6e3d0e6fbb52713ee6","schema_version":"1.0","event_id":"sha256:a87ec7cb726e25f2ea0e6f3eb9122324b815830b730eeb6e3d0e6fbb52713ee6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:SGYJEDZBJUUTR25SC43RMSGEJO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inclusions and positive cones of von Neumann algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Yoh Tanimoto","submitted_at":"2008-01-28T12:52:34Z","abstract_excerpt":"We consider cones in a Hilbert space associated to two von Neumann algebras and determine when one algebra is included in the other. If a cone is assocated to a von Neumann algebra, the Jordan structure is naturally recovered from it and we can characterize projections of the given von Neumann algebra with the structure in some special situations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.4259","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":""},"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":"2026-05-18T04:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d02CvgV3uFwzM/K3vq5d5o8LzRXI5XB+eQxMknDr9x7MEHnmKLUwMNO2n0SP/wEq8iXJ7O2P6pU55RtZKz1sAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T23:27:17.436785Z"},"content_sha256":"e1c3de7e9133c92f8c857908b9ccdebc398d689692add71499e115077f9adb72","schema_version":"1.0","event_id":"sha256:e1c3de7e9133c92f8c857908b9ccdebc398d689692add71499e115077f9adb72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGYJEDZBJUUTR25SC43RMSGEJO/bundle.json","state_url":"https://pith.science/pith/SGYJEDZBJUUTR25SC43RMSGEJO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGYJEDZBJUUTR25SC43RMSGEJO/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":"2026-05-22T23:27:17Z","links":{"resolver":"https://pith.science/pith/SGYJEDZBJUUTR25SC43RMSGEJO","bundle":"https://pith.science/pith/SGYJEDZBJUUTR25SC43RMSGEJO/bundle.json","state":"https://pith.science/pith/SGYJEDZBJUUTR25SC43RMSGEJO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGYJEDZBJUUTR25SC43RMSGEJO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:SGYJEDZBJUUTR25SC43RMSGEJO","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":"b09fbf72fee8f7e9ce8dd3bb36ac544cb007ac573fb4fb0071ba4b0ca0ef7ee6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-01-28T12:52:34Z","title_canon_sha256":"1291da3cef6e72f8d25e5268b5c3567556de4cdfbd679bc503852dece74eed54"},"schema_version":"1.0","source":{"id":"0801.4259","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.4259","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"0801.4259v2","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.4259","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"SGYJEDZBJUUT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"SGYJEDZBJUUTR25S","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"SGYJEDZB","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:e1c3de7e9133c92f8c857908b9ccdebc398d689692add71499e115077f9adb72","target":"graph","created_at":"2026-05-18T04:30:26Z","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"},"paper":{"abstract_excerpt":"We consider cones in a Hilbert space associated to two von Neumann algebras and determine when one algebra is included in the other. If a cone is assocated to a von Neumann algebra, the Jordan structure is naturally recovered from it and we can characterize projections of the given von Neumann algebra with the structure in some special situations.","authors_text":"Yoh Tanimoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-01-28T12:52:34Z","title":"Inclusions and positive cones of von Neumann algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.4259","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:a87ec7cb726e25f2ea0e6f3eb9122324b815830b730eeb6e3d0e6fbb52713ee6","target":"record","created_at":"2026-05-18T04:30:26Z","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":"b09fbf72fee8f7e9ce8dd3bb36ac544cb007ac573fb4fb0071ba4b0ca0ef7ee6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-01-28T12:52:34Z","title_canon_sha256":"1291da3cef6e72f8d25e5268b5c3567556de4cdfbd679bc503852dece74eed54"},"schema_version":"1.0","source":{"id":"0801.4259","kind":"arxiv","version":2}},"canonical_sha256":"91b0920f214d2938ebb217371648c44bb78afacd423d3c6a56b46db1d72d9804","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91b0920f214d2938ebb217371648c44bb78afacd423d3c6a56b46db1d72d9804","first_computed_at":"2026-05-18T04:30:26.822843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:26.822843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1IkCFHCUxAYuzb6okT81Pfz2JXBQdcRFLIlke+W51NzQrPwO0/ucxU7YvdqP8av8E3gHVKXJB4tw1SLSnaFRAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:26.823261Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.4259","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a87ec7cb726e25f2ea0e6f3eb9122324b815830b730eeb6e3d0e6fbb52713ee6","sha256:e1c3de7e9133c92f8c857908b9ccdebc398d689692add71499e115077f9adb72"],"state_sha256":"42521c28035d60668a10412f1910c3c381ead715f96bd07f9eb62a0985379671"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"roB7eixax/CZtb4gyM3f/KFaKDOjBqQXNyQWmg8Msa8rYq3REaDzPKGwM4WGB9rr5uMg0oC273SSM1t6R+hmDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T23:27:17.439851Z","bundle_sha256":"1339d862c022f496a93cc0e3f82d46f0abf55245f8784d7fd6fe2b8a7447d7a5"}}