{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:MPA3VXPHGJJZDQGKH4QNCBLMBZ","short_pith_number":"pith:MPA3VXPH","canonical_record":{"source":{"id":"2401.09554","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-01-17T19:12:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5ee93fac3bb666b9a6046af94a134a8f2c5ae66512fcdeec3efbce9fc38fb273","abstract_canon_sha256":"1b965282a72fbf1abd9b2511abb9468d45f566e6520b1713c105cd3a8acaa5fc"},"schema_version":"1.0"},"canonical_sha256":"63c1badde7325391c0ca3f20d1056c0e79462789381f9de2ed1fe9e944819d7a","source":{"kind":"arxiv","id":"2401.09554","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.09554","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"2401.09554v2","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.09554","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"MPA3VXPHGJJZ","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"pith_short_16","alias_value":"MPA3VXPHGJJZDQGK","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"pith_short_8","alias_value":"MPA3VXPH","created_at":"2026-05-26T02:04:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:MPA3VXPHGJJZDQGKH4QNCBLMBZ","target":"record","payload":{"canonical_record":{"source":{"id":"2401.09554","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-01-17T19:12:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5ee93fac3bb666b9a6046af94a134a8f2c5ae66512fcdeec3efbce9fc38fb273","abstract_canon_sha256":"1b965282a72fbf1abd9b2511abb9468d45f566e6520b1713c105cd3a8acaa5fc"},"schema_version":"1.0"},"canonical_sha256":"63c1badde7325391c0ca3f20d1056c0e79462789381f9de2ed1fe9e944819d7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:04:58.326543Z","signature_b64":"9yzhwUBZvF8fCM8BvQCNizKo0VEi7A25MG10a7idQ1Luuauh3oNYQxXieEBPxbtPUwLI/L3VV6bvslpGE1WxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63c1badde7325391c0ca3f20d1056c0e79462789381f9de2ed1fe9e944819d7a","last_reissued_at":"2026-05-26T02:04:58.325937Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:04:58.325937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.09554","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":"2026-05-26T02:04:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RK+/WaaVmX6rF0454n44USe5hp2Erfi7UX0rRBkEZknm2nAGG4rCRmco2ZAUT6XYEQSC8PyAZbKHehybLDdzCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:34:40.009481Z"},"content_sha256":"443f3dfe959a24a8ce954f6ffc328b9a4f33b654740c1ca69af91a290792c1bc","schema_version":"1.0","event_id":"sha256:443f3dfe959a24a8ce954f6ffc328b9a4f33b654740c1ca69af91a290792c1bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:MPA3VXPHGJJZDQGKH4QNCBLMBZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement cost for infinite-dimensional physical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Hayata Yamasaki, Kohdai Kuroiwa, Ludovico Lami, Patrick Hayden","submitted_at":"2024-01-17T19:12:10Z","abstract_excerpt":"We prove that the entanglement cost equals the regularized entanglement of formation for any infinite-dimensional quantum state $\\rho_{AB}$ with finite quantum entropy on at least one of the subsystems $A$ or $B$. This generalizes a foundational result in quantum information theory that was previously formulated only for operations and states on finite-dimensional systems. The extension to infinite-dimensional systems is nontrivial because the conventional tools for establishing both the direct and converse bounds, i.e., strong typicality, monotonicity, and asymptotic continuity, are no longer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.09554","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/2401.09554/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":"2026-05-26T02:04:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iWTXLqY2dm3IbfVgKSGxEpO21PrYQkpnJ+gHozHQJveoQtC/mrtvR12GlxQymrc/G1PrwTnZWWPcTib29bV6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:34:40.010196Z"},"content_sha256":"b85ab45bc3139fd56d2cbb419e193d37cf46850d907bf4ec2a2d61278d23d412","schema_version":"1.0","event_id":"sha256:b85ab45bc3139fd56d2cbb419e193d37cf46850d907bf4ec2a2d61278d23d412"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MPA3VXPHGJJZDQGKH4QNCBLMBZ/bundle.json","state_url":"https://pith.science/pith/MPA3VXPHGJJZDQGKH4QNCBLMBZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MPA3VXPHGJJZDQGKH4QNCBLMBZ/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":"2026-05-27T10:34:40Z","links":{"resolver":"https://pith.science/pith/MPA3VXPHGJJZDQGKH4QNCBLMBZ","bundle":"https://pith.science/pith/MPA3VXPHGJJZDQGKH4QNCBLMBZ/bundle.json","state":"https://pith.science/pith/MPA3VXPHGJJZDQGKH4QNCBLMBZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MPA3VXPHGJJZDQGKH4QNCBLMBZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MPA3VXPHGJJZDQGKH4QNCBLMBZ","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":"1b965282a72fbf1abd9b2511abb9468d45f566e6520b1713c105cd3a8acaa5fc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-01-17T19:12:10Z","title_canon_sha256":"5ee93fac3bb666b9a6046af94a134a8f2c5ae66512fcdeec3efbce9fc38fb273"},"schema_version":"1.0","source":{"id":"2401.09554","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.09554","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"2401.09554v2","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.09554","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"MPA3VXPHGJJZ","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"pith_short_16","alias_value":"MPA3VXPHGJJZDQGK","created_at":"2026-05-26T02:04:58Z"},{"alias_kind":"pith_short_8","alias_value":"MPA3VXPH","created_at":"2026-05-26T02:04:58Z"}],"graph_snapshots":[{"event_id":"sha256:b85ab45bc3139fd56d2cbb419e193d37cf46850d907bf4ec2a2d61278d23d412","target":"graph","created_at":"2026-05-26T02:04:58Z","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/2401.09554/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that the entanglement cost equals the regularized entanglement of formation for any infinite-dimensional quantum state $\\rho_{AB}$ with finite quantum entropy on at least one of the subsystems $A$ or $B$. This generalizes a foundational result in quantum information theory that was previously formulated only for operations and states on finite-dimensional systems. The extension to infinite-dimensional systems is nontrivial because the conventional tools for establishing both the direct and converse bounds, i.e., strong typicality, monotonicity, and asymptotic continuity, are no longer","authors_text":"Hayata Yamasaki, Kohdai Kuroiwa, Ludovico Lami, Patrick Hayden","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-01-17T19:12:10Z","title":"Entanglement cost for infinite-dimensional physical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.09554","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":"sha256:443f3dfe959a24a8ce954f6ffc328b9a4f33b654740c1ca69af91a290792c1bc","target":"record","created_at":"2026-05-26T02:04:58Z","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":"1b965282a72fbf1abd9b2511abb9468d45f566e6520b1713c105cd3a8acaa5fc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-01-17T19:12:10Z","title_canon_sha256":"5ee93fac3bb666b9a6046af94a134a8f2c5ae66512fcdeec3efbce9fc38fb273"},"schema_version":"1.0","source":{"id":"2401.09554","kind":"arxiv","version":2}},"canonical_sha256":"63c1badde7325391c0ca3f20d1056c0e79462789381f9de2ed1fe9e944819d7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63c1badde7325391c0ca3f20d1056c0e79462789381f9de2ed1fe9e944819d7a","first_computed_at":"2026-05-26T02:04:58.325937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:58.325937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9yzhwUBZvF8fCM8BvQCNizKo0VEi7A25MG10a7idQ1Luuauh3oNYQxXieEBPxbtPUwLI/L3VV6bvslpGE1WxAw==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:58.326543Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.09554","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:443f3dfe959a24a8ce954f6ffc328b9a4f33b654740c1ca69af91a290792c1bc","sha256:b85ab45bc3139fd56d2cbb419e193d37cf46850d907bf4ec2a2d61278d23d412"],"state_sha256":"7d5d5c0ece75e11f107c556737e7a7d560b75ca9679ae26e9814356ca9a6ffdb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BO8WKRvcDbcyaTUSa14SAudMU71RFkhOU60Ftiem+zNN5A7VZumOIYd0Qc+OjtUK3VRLlc9hHQbcA1KDG5qMDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T10:34:40.014261Z","bundle_sha256":"2f6cf8ed25b1a589e1aea9ed908b5f75bc9cf1e2c903861551eb21948ec40da4"}}