{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:CWK5XLSLB3DXF6IG6KVQOXNHOX","short_pith_number":"pith:CWK5XLSL","canonical_record":{"source":{"id":"math/0605480","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2006-05-17T14:52:24Z","cross_cats_sorted":[],"title_canon_sha256":"b3d0e0db8739b383a49bafab2969667b7d590d603510cffc2897b59003806a56","abstract_canon_sha256":"70a361b50a016394d871efce296125b6bce445c33268ded0291705373bd2a9ed"},"schema_version":"1.0"},"canonical_sha256":"1595dbae4b0ec772f906f2ab075da775fb579ee86df3fd82f46e254b6a5bf36b","source":{"kind":"arxiv","id":"math/0605480","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0605480","created_at":"2026-05-18T03:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"math/0605480v1","created_at":"2026-05-18T03:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0605480","created_at":"2026-05-18T03:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"CWK5XLSLB3DX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CWK5XLSLB3DXF6IG","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CWK5XLSL","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:CWK5XLSLB3DXF6IG6KVQOXNHOX","target":"record","payload":{"canonical_record":{"source":{"id":"math/0605480","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2006-05-17T14:52:24Z","cross_cats_sorted":[],"title_canon_sha256":"b3d0e0db8739b383a49bafab2969667b7d590d603510cffc2897b59003806a56","abstract_canon_sha256":"70a361b50a016394d871efce296125b6bce445c33268ded0291705373bd2a9ed"},"schema_version":"1.0"},"canonical_sha256":"1595dbae4b0ec772f906f2ab075da775fb579ee86df3fd82f46e254b6a5bf36b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:43.235070Z","signature_b64":"siModl+VoQ/5JugqdMnvjilkpZvE+xqiAe+zqbS6Awmm0A+z9hf0oKlT5r06dTvf2xM10NwDL/QixstDc0SLBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1595dbae4b0ec772f906f2ab075da775fb579ee86df3fd82f46e254b6a5bf36b","last_reissued_at":"2026-05-18T03:06:43.234470Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:43.234470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0605480","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":"2026-05-18T03:06:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BwAhHDvzzigrFSeqWX3KEo8lX2Tvuafw8Rf1qhbv0ejfbOTHc7F9b2tw5pWPbnOrxbugW0le3OQP1xDhYeNaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:00:38.822916Z"},"content_sha256":"6bdf96665e862f0bf4cc7615f53ca8be55fd2a1962bffdfb5a8213af091d4ede","schema_version":"1.0","event_id":"sha256:6bdf96665e862f0bf4cc7615f53ca8be55fd2a1962bffdfb5a8213af091d4ede"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:CWK5XLSLB3DXF6IG6KVQOXNHOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence of $E_0$--Semigroups for Arveson Systems: Making Two Proofs into One","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Michael Skeide","submitted_at":"2006-05-17T14:52:24Z","abstract_excerpt":"Since quite a time there were available only two rather difficult and involved proofs, the original one by Arveson and a more recent one by Liebscher, of the fact that for every Arveson system there exists an E_0-semigroup. We put together two recent short proofs, one by Skeide and one by Arveson, to obtain a still simpler one, which unfies the advantages of each proof and discards with their disadvantages."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0605480","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":""},"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":"2026-05-18T03:06:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZqcUiFi/jP7F1Hu25wAHym6+4ZZmBgAEMqz3d9ywFEXrjEZFlH9NnzTHyNEV95ONFyR0i6gAkFvgCKlGLbFCAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:00:38.823679Z"},"content_sha256":"9603798fde7f44d7414e94238c697c26600e44b775fc82589cd9acfcf860af58","schema_version":"1.0","event_id":"sha256:9603798fde7f44d7414e94238c697c26600e44b775fc82589cd9acfcf860af58"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CWK5XLSLB3DXF6IG6KVQOXNHOX/bundle.json","state_url":"https://pith.science/pith/CWK5XLSLB3DXF6IG6KVQOXNHOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CWK5XLSLB3DXF6IG6KVQOXNHOX/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":"2026-06-11T10:00:38Z","links":{"resolver":"https://pith.science/pith/CWK5XLSLB3DXF6IG6KVQOXNHOX","bundle":"https://pith.science/pith/CWK5XLSLB3DXF6IG6KVQOXNHOX/bundle.json","state":"https://pith.science/pith/CWK5XLSLB3DXF6IG6KVQOXNHOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CWK5XLSLB3DXF6IG6KVQOXNHOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CWK5XLSLB3DXF6IG6KVQOXNHOX","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":"70a361b50a016394d871efce296125b6bce445c33268ded0291705373bd2a9ed","cross_cats_sorted":[],"license":"","primary_cat":"math.OA","submitted_at":"2006-05-17T14:52:24Z","title_canon_sha256":"b3d0e0db8739b383a49bafab2969667b7d590d603510cffc2897b59003806a56"},"schema_version":"1.0","source":{"id":"math/0605480","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0605480","created_at":"2026-05-18T03:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"math/0605480v1","created_at":"2026-05-18T03:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0605480","created_at":"2026-05-18T03:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"CWK5XLSLB3DX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CWK5XLSLB3DXF6IG","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CWK5XLSL","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:9603798fde7f44d7414e94238c697c26600e44b775fc82589cd9acfcf860af58","target":"graph","created_at":"2026-05-18T03:06:43Z","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":"Since quite a time there were available only two rather difficult and involved proofs, the original one by Arveson and a more recent one by Liebscher, of the fact that for every Arveson system there exists an E_0-semigroup. We put together two recent short proofs, one by Skeide and one by Arveson, to obtain a still simpler one, which unfies the advantages of each proof and discards with their disadvantages.","authors_text":"Michael Skeide","cross_cats":[],"headline":"","license":"","primary_cat":"math.OA","submitted_at":"2006-05-17T14:52:24Z","title":"Existence of $E_0$--Semigroups for Arveson Systems: Making Two Proofs into One"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0605480","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":"sha256:6bdf96665e862f0bf4cc7615f53ca8be55fd2a1962bffdfb5a8213af091d4ede","target":"record","created_at":"2026-05-18T03:06:43Z","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":"70a361b50a016394d871efce296125b6bce445c33268ded0291705373bd2a9ed","cross_cats_sorted":[],"license":"","primary_cat":"math.OA","submitted_at":"2006-05-17T14:52:24Z","title_canon_sha256":"b3d0e0db8739b383a49bafab2969667b7d590d603510cffc2897b59003806a56"},"schema_version":"1.0","source":{"id":"math/0605480","kind":"arxiv","version":1}},"canonical_sha256":"1595dbae4b0ec772f906f2ab075da775fb579ee86df3fd82f46e254b6a5bf36b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1595dbae4b0ec772f906f2ab075da775fb579ee86df3fd82f46e254b6a5bf36b","first_computed_at":"2026-05-18T03:06:43.234470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:43.234470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"siModl+VoQ/5JugqdMnvjilkpZvE+xqiAe+zqbS6Awmm0A+z9hf0oKlT5r06dTvf2xM10NwDL/QixstDc0SLBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:43.235070Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0605480","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bdf96665e862f0bf4cc7615f53ca8be55fd2a1962bffdfb5a8213af091d4ede","sha256:9603798fde7f44d7414e94238c697c26600e44b775fc82589cd9acfcf860af58"],"state_sha256":"452a91fd41de470b63a662c77084ac01bde39fb8361b8a30968c75c9e51477f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7S8btmQRO0kIr2LtPKlXethKh/Ni9M5TF2ry5VCBfpgXlfU8GCh2dq25b5+KLnl+xEljL492n6lIw+5NJsiABg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T10:00:38.827581Z","bundle_sha256":"f9cbd76459e1f0ceb4161176547d11d9ecce2197f5bf4399878797f4129dbc23"}}