{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Q5OIU5POMYPRENDM66YIUA3WZY","short_pith_number":"pith:Q5OIU5PO","canonical_record":{"source":{"id":"1104.5482","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-28T19:36:59Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"7c2f3d67a90c898fc9556e81c98a165b00e5ce7dd820abd3d92f0d2a0695ebbd","abstract_canon_sha256":"c5405e13740030442464681abff42bcca4a4e2a117139a14a4da20d1de57330c"},"schema_version":"1.0"},"canonical_sha256":"875c8a75ee661f12346cf7b08a0376ce286922ea9cecb559033e80da37ff83af","source":{"kind":"arxiv","id":"1104.5482","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5482","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5482v2","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5482","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"Q5OIU5POMYPR","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q5OIU5POMYPRENDM","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q5OIU5PO","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Q5OIU5POMYPRENDM66YIUA3WZY","target":"record","payload":{"canonical_record":{"source":{"id":"1104.5482","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-28T19:36:59Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"7c2f3d67a90c898fc9556e81c98a165b00e5ce7dd820abd3d92f0d2a0695ebbd","abstract_canon_sha256":"c5405e13740030442464681abff42bcca4a4e2a117139a14a4da20d1de57330c"},"schema_version":"1.0"},"canonical_sha256":"875c8a75ee661f12346cf7b08a0376ce286922ea9cecb559033e80da37ff83af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:58.992969Z","signature_b64":"1R25osJqTP5nWbqJnb5s5KAj0XmD4UjdtJ2kVg872YP9uwE4+WGl9ROf2b+HcuSPALw43Z6dlSOejcTqJ87+DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"875c8a75ee661f12346cf7b08a0376ce286922ea9cecb559033e80da37ff83af","last_reissued_at":"2026-05-18T01:12:58.992580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:58.992580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.5482","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":"2026-05-18T01:12:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BTZTU92/zywaq0+SKm6EjG6uTXcMwNzaYwEeGdnO8G2UQwXQw2DSSDdgYuT9H9mdpqwr/SFDDbx+NC4AwDeuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:54:18.079045Z"},"content_sha256":"ede0ea4c79208b9c7f7a269056e25a113f01a6103ff70a290a0134fe3aedd461","schema_version":"1.0","event_id":"sha256:ede0ea4c79208b9c7f7a269056e25a113f01a6103ff70a290a0134fe3aedd461"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Q5OIU5POMYPRENDM66YIUA3WZY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal Probability Distribution for the Wave Function of a Quantum System Entangled with Its Environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Christian Mastrodonato, Joel L. Lebowitz, Nino Zanghi, Roderich Tumulka, Sheldon Goldstein","submitted_at":"2011-04-28T19:36:59Z","abstract_excerpt":"A quantum system (with Hilbert space $\\mathscr{H}_1$) entangled with its environment (with Hilbert space $\\mathscr{H}_2$) is usually not attributed a wave function but only a reduced density matrix $\\rho_1$. Nevertheless, there is a precise way of attributing to it a random wave function $\\psi_1$, called its conditional wave function, whose probability distribution $\\mu_1$ depends on the entangled wave function $\\psi\\in\\mathscr{H}_1\\otimes\\mathscr{H}_2$ in the Hilbert space of system and environment together. It also depends on a choice of orthonormal basis of $\\mathscr{H}_2$ but in relevant c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5482","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":"2026-05-18T01:12:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sl29l/yijaZHtZK+gDIHD1VbysAxmP3s240XodH+SFhe/TIMhtxrsm0SBkS6dbpM6bLado7lznUzqcVscaWrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:54:18.079416Z"},"content_sha256":"e45c78d16e5b1e7ddcc91c65628455592d53140fa73de487201ea0e72d7e9e59","schema_version":"1.0","event_id":"sha256:e45c78d16e5b1e7ddcc91c65628455592d53140fa73de487201ea0e72d7e9e59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5OIU5POMYPRENDM66YIUA3WZY/bundle.json","state_url":"https://pith.science/pith/Q5OIU5POMYPRENDM66YIUA3WZY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5OIU5POMYPRENDM66YIUA3WZY/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":"2026-05-26T02:54:18Z","links":{"resolver":"https://pith.science/pith/Q5OIU5POMYPRENDM66YIUA3WZY","bundle":"https://pith.science/pith/Q5OIU5POMYPRENDM66YIUA3WZY/bundle.json","state":"https://pith.science/pith/Q5OIU5POMYPRENDM66YIUA3WZY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5OIU5POMYPRENDM66YIUA3WZY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Q5OIU5POMYPRENDM66YIUA3WZY","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":"c5405e13740030442464681abff42bcca4a4e2a117139a14a4da20d1de57330c","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-28T19:36:59Z","title_canon_sha256":"7c2f3d67a90c898fc9556e81c98a165b00e5ce7dd820abd3d92f0d2a0695ebbd"},"schema_version":"1.0","source":{"id":"1104.5482","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5482","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5482v2","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5482","created_at":"2026-05-18T01:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"Q5OIU5POMYPR","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q5OIU5POMYPRENDM","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q5OIU5PO","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:e45c78d16e5b1e7ddcc91c65628455592d53140fa73de487201ea0e72d7e9e59","target":"graph","created_at":"2026-05-18T01:12:58Z","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"},"paper":{"abstract_excerpt":"A quantum system (with Hilbert space $\\mathscr{H}_1$) entangled with its environment (with Hilbert space $\\mathscr{H}_2$) is usually not attributed a wave function but only a reduced density matrix $\\rho_1$. Nevertheless, there is a precise way of attributing to it a random wave function $\\psi_1$, called its conditional wave function, whose probability distribution $\\mu_1$ depends on the entangled wave function $\\psi\\in\\mathscr{H}_1\\otimes\\mathscr{H}_2$ in the Hilbert space of system and environment together. It also depends on a choice of orthonormal basis of $\\mathscr{H}_2$ but in relevant c","authors_text":"Christian Mastrodonato, Joel L. Lebowitz, Nino Zanghi, Roderich Tumulka, Sheldon Goldstein","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-28T19:36:59Z","title":"Universal Probability Distribution for the Wave Function of a Quantum System Entangled with Its Environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5482","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:ede0ea4c79208b9c7f7a269056e25a113f01a6103ff70a290a0134fe3aedd461","target":"record","created_at":"2026-05-18T01:12:58Z","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":"c5405e13740030442464681abff42bcca4a4e2a117139a14a4da20d1de57330c","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-28T19:36:59Z","title_canon_sha256":"7c2f3d67a90c898fc9556e81c98a165b00e5ce7dd820abd3d92f0d2a0695ebbd"},"schema_version":"1.0","source":{"id":"1104.5482","kind":"arxiv","version":2}},"canonical_sha256":"875c8a75ee661f12346cf7b08a0376ce286922ea9cecb559033e80da37ff83af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"875c8a75ee661f12346cf7b08a0376ce286922ea9cecb559033e80da37ff83af","first_computed_at":"2026-05-18T01:12:58.992580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:58.992580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1R25osJqTP5nWbqJnb5s5KAj0XmD4UjdtJ2kVg872YP9uwE4+WGl9ROf2b+HcuSPALw43Z6dlSOejcTqJ87+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:58.992969Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5482","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ede0ea4c79208b9c7f7a269056e25a113f01a6103ff70a290a0134fe3aedd461","sha256:e45c78d16e5b1e7ddcc91c65628455592d53140fa73de487201ea0e72d7e9e59"],"state_sha256":"36c1c957c8f47ebe6fbe591fb398b5c5825a61c5c859cb2bafb965bfb585017b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0uY+zl0BCKjevAIOP9h7hLBASfvgmY1Jv/mhElaNPD/iqZLviGqyhLcDJpUnbLaPtW2JNVTDddIi/8Plai4nDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:54:18.082570Z","bundle_sha256":"8848d9812fe513f59bea7057110d61d08436ec3ed59203f171d347cd4603a1d4"}}