{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NALGAN7GXID3XTLYNTUYQ7LMU5","short_pith_number":"pith:NALGAN7G","canonical_record":{"source":{"id":"1301.0077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-01T12:28:46Z","cross_cats_sorted":[],"title_canon_sha256":"bcdd317f7dfe9ff25740980f409607d8a054257719984a70e45a41894813fdc1","abstract_canon_sha256":"588021cf5278dce369004c9f5964293afb63d261c23d257dc966181ba8ba5536"},"schema_version":"1.0"},"canonical_sha256":"68166037e6ba07bbcd786ce9887d6ca77d8873cced1a8cdaafeaef09d97c889e","source":{"kind":"arxiv","id":"1301.0077","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0077","created_at":"2026-05-18T03:29:26Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0077v1","created_at":"2026-05-18T03:29:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0077","created_at":"2026-05-18T03:29:26Z"},{"alias_kind":"pith_short_12","alias_value":"NALGAN7GXID3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NALGAN7GXID3XTLY","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NALGAN7G","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NALGAN7GXID3XTLYNTUYQ7LMU5","target":"record","payload":{"canonical_record":{"source":{"id":"1301.0077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-01T12:28:46Z","cross_cats_sorted":[],"title_canon_sha256":"bcdd317f7dfe9ff25740980f409607d8a054257719984a70e45a41894813fdc1","abstract_canon_sha256":"588021cf5278dce369004c9f5964293afb63d261c23d257dc966181ba8ba5536"},"schema_version":"1.0"},"canonical_sha256":"68166037e6ba07bbcd786ce9887d6ca77d8873cced1a8cdaafeaef09d97c889e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:26.803734Z","signature_b64":"3BWv2D6BC/fX783nxRXbKaypHZu6PiaLaL6Zd6y3TNrWZHleRcv3HOSdjdtOWxo3ckxaniaVFf2zd83/2tNJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68166037e6ba07bbcd786ce9887d6ca77d8873cced1a8cdaafeaef09d97c889e","last_reissued_at":"2026-05-18T03:29:26.803058Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:26.803058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.0077","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":"2026-05-18T03:29:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zztW4NYjZ4DuVQLP//VXo8Tqua9z77Oq0vjZPdOEsaLiORINPQ2lBKyzCj0y0fnt0CLE4eAbZpZJTRbZWgzsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:29:52.726553Z"},"content_sha256":"9f66417ad4b4e7321818e8b3f6a8e8a44bb237753b3032af71fc3312e6aafd16","schema_version":"1.0","event_id":"sha256:9f66417ad4b4e7321818e8b3f6a8e8a44bb237753b3032af71fc3312e6aafd16"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NALGAN7GXID3XTLYNTUYQ7LMU5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Decoherence Scaling with Bath Size: Importance of Dynamics, Connectivity, and Randomness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fengping Jin, Hans De Raedt, Kristel Michielsen, Mark Novotny, Seiji Miyashita, Shengjun Yuan","submitted_at":"2013-01-01T12:28:46Z","abstract_excerpt":"The decoherence of a quantum system $S$ coupled to a quantum environment $E$ is considered. For states chosen uniformly at random from the unit hypersphere in the Hilbert space of the closed system $S+E$ we derive a scaling relationship for the sum of the off-diagonal elements of the reduced density matrix of $S$ as a function of the size $D_E$ of the Hilbert space of $E$. This sum decreases as $1/\\sqrt{D_E}$ as long as $D_E\\gg 1$. This scaling prediction is tested by performing large-scale simulations which solve the time-dependent Schr{\\\"o}dinger equation for a ring of spin-1/2 particles, fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0077","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":"2026-05-18T03:29:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lZ7RUYUxb4fs6vQAuDNkliH0KPSl4mB2EoN3b8FJIitVYPjobgWLjYYjaEqdJRzAojj8GcnzHdQQc3SoEStqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:29:52.726899Z"},"content_sha256":"2e62bbbe5d895033c05eded74a6e69b2a094e16d1df974e9dfa449916cc819a8","schema_version":"1.0","event_id":"sha256:2e62bbbe5d895033c05eded74a6e69b2a094e16d1df974e9dfa449916cc819a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NALGAN7GXID3XTLYNTUYQ7LMU5/bundle.json","state_url":"https://pith.science/pith/NALGAN7GXID3XTLYNTUYQ7LMU5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NALGAN7GXID3XTLYNTUYQ7LMU5/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":"2026-05-30T14:29:52Z","links":{"resolver":"https://pith.science/pith/NALGAN7GXID3XTLYNTUYQ7LMU5","bundle":"https://pith.science/pith/NALGAN7GXID3XTLYNTUYQ7LMU5/bundle.json","state":"https://pith.science/pith/NALGAN7GXID3XTLYNTUYQ7LMU5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NALGAN7GXID3XTLYNTUYQ7LMU5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NALGAN7GXID3XTLYNTUYQ7LMU5","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":"588021cf5278dce369004c9f5964293afb63d261c23d257dc966181ba8ba5536","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-01T12:28:46Z","title_canon_sha256":"bcdd317f7dfe9ff25740980f409607d8a054257719984a70e45a41894813fdc1"},"schema_version":"1.0","source":{"id":"1301.0077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0077","created_at":"2026-05-18T03:29:26Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0077v1","created_at":"2026-05-18T03:29:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0077","created_at":"2026-05-18T03:29:26Z"},{"alias_kind":"pith_short_12","alias_value":"NALGAN7GXID3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NALGAN7GXID3XTLY","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NALGAN7G","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:2e62bbbe5d895033c05eded74a6e69b2a094e16d1df974e9dfa449916cc819a8","target":"graph","created_at":"2026-05-18T03:29:26Z","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":"The decoherence of a quantum system $S$ coupled to a quantum environment $E$ is considered. For states chosen uniformly at random from the unit hypersphere in the Hilbert space of the closed system $S+E$ we derive a scaling relationship for the sum of the off-diagonal elements of the reduced density matrix of $S$ as a function of the size $D_E$ of the Hilbert space of $E$. This sum decreases as $1/\\sqrt{D_E}$ as long as $D_E\\gg 1$. This scaling prediction is tested by performing large-scale simulations which solve the time-dependent Schr{\\\"o}dinger equation for a ring of spin-1/2 particles, fo","authors_text":"Fengping Jin, Hans De Raedt, Kristel Michielsen, Mark Novotny, Seiji Miyashita, Shengjun Yuan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-01T12:28:46Z","title":"Quantum Decoherence Scaling with Bath Size: Importance of Dynamics, Connectivity, and Randomness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0077","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":"sha256:9f66417ad4b4e7321818e8b3f6a8e8a44bb237753b3032af71fc3312e6aafd16","target":"record","created_at":"2026-05-18T03:29:26Z","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":"588021cf5278dce369004c9f5964293afb63d261c23d257dc966181ba8ba5536","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-01T12:28:46Z","title_canon_sha256":"bcdd317f7dfe9ff25740980f409607d8a054257719984a70e45a41894813fdc1"},"schema_version":"1.0","source":{"id":"1301.0077","kind":"arxiv","version":1}},"canonical_sha256":"68166037e6ba07bbcd786ce9887d6ca77d8873cced1a8cdaafeaef09d97c889e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68166037e6ba07bbcd786ce9887d6ca77d8873cced1a8cdaafeaef09d97c889e","first_computed_at":"2026-05-18T03:29:26.803058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:26.803058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3BWv2D6BC/fX783nxRXbKaypHZu6PiaLaL6Zd6y3TNrWZHleRcv3HOSdjdtOWxo3ckxaniaVFf2zd83/2tNJBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:26.803734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f66417ad4b4e7321818e8b3f6a8e8a44bb237753b3032af71fc3312e6aafd16","sha256:2e62bbbe5d895033c05eded74a6e69b2a094e16d1df974e9dfa449916cc819a8"],"state_sha256":"43688d604f5d213aeffe27ababead686a1b00f234c01063b06af899374d72b20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tBTaKFZlF6pczdiDH9fNbamTb/LpNy/nOsDvmLG/I7y+xmi3ngtclJUyNkTTU+8XJYypLBmLRcMnz+PPTozRBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T14:29:52.728756Z","bundle_sha256":"fea998f91a816fb3694918dea77c03d1b3dfae9bdb7a98f4f40ea9ef65d3e06a"}}