{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:7AY526JJQWDFO6HNAT62ZN37YX","short_pith_number":"pith:7AY526JJ","canonical_record":{"source":{"id":"cond-mat/0608400","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-08-17T16:02:15Z","cross_cats_sorted":[],"title_canon_sha256":"a2baf815af92923aa40bef5bd610b950813439a29079c7b24db3359cb7285319","abstract_canon_sha256":"65f59a7941e881c9b01ae572c8bdc9c882300205a32c33cb4ebaf75c28923a02"},"schema_version":"1.0"},"canonical_sha256":"f831dd792985865778ed04fdacb77fc5c298030a2c00fa7d048b089e03511dae","source":{"kind":"arxiv","id":"cond-mat/0608400","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0608400","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0608400v2","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0608400","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"7AY526JJQWDF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7AY526JJQWDFO6HN","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7AY526JJ","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:7AY526JJQWDFO6HNAT62ZN37YX","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0608400","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-08-17T16:02:15Z","cross_cats_sorted":[],"title_canon_sha256":"a2baf815af92923aa40bef5bd610b950813439a29079c7b24db3359cb7285319","abstract_canon_sha256":"65f59a7941e881c9b01ae572c8bdc9c882300205a32c33cb4ebaf75c28923a02"},"schema_version":"1.0"},"canonical_sha256":"f831dd792985865778ed04fdacb77fc5c298030a2c00fa7d048b089e03511dae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:44.095411Z","signature_b64":"G80tX8scax5erstAQ3v+7iz5uOaMHf7STw4Gk0RU7eSHyQxUBc8VK5jI/1Go8jtzHpJ8aFlqbPoerGRyOMhGDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f831dd792985865778ed04fdacb77fc5c298030a2c00fa7d048b089e03511dae","last_reissued_at":"2026-05-18T01:39:44.094695Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:44.094695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0608400","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":"2026-05-18T01:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0b1C3cBeQ8I5x3xp+gT6HmfS4PMEtcaKXhUHMNKi0aznWo6gsRhKq+uI/EEJ9OemnMKTO/IRW7j1RMYSRjpVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:52:52.081659Z"},"content_sha256":"87c6dbb04b27debfa33ca2c4fcd9ca8bea792ffcbb4d7bcf14bb07ca42a78d90","schema_version":"1.0","event_id":"sha256:87c6dbb04b27debfa33ca2c4fcd9ca8bea792ffcbb4d7bcf14bb07ca42a78d90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:7AY526JJQWDFO6HNAT62ZN37YX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Path integral Monte Carlo study of the interacting quantum double-well model: Quantum phase transition and phase diagram","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Dong-Hee Kim, Heiko Rieger, Yu-Cheng Lin","submitted_at":"2006-08-17T16:02:15Z","abstract_excerpt":"The discrete time path integral Monte Carlo (PIMC) with a one-particle density matrix approximation is applied to study the quantum phase transition in the coupled double-well chain. To improve the convergence properties, the exact action for a single particle in a double well potential is used to construct the many-particle action. The algorithm is applied to the interacting quantum double-well chain for which the zero-temperature phase diagram is determined. The quantum phase transition is studied via finite-size scaling and the critical exponents are shown to be compatible with the classica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0608400","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":"2026-05-18T01:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"czUPvS8BxtkctHMaYx4O+fuxX3AjAVX80tPEUOO6ZMbrV7nRzlbKKfUMGbNwZ7vcLMEb4hNp2yol+SgCBqT/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:52:52.081994Z"},"content_sha256":"8dfc9d8a3013bbfdacc8e9a1fce95ac86762ba20cf8cb5cdbf415beae0a39327","schema_version":"1.0","event_id":"sha256:8dfc9d8a3013bbfdacc8e9a1fce95ac86762ba20cf8cb5cdbf415beae0a39327"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7AY526JJQWDFO6HNAT62ZN37YX/bundle.json","state_url":"https://pith.science/pith/7AY526JJQWDFO6HNAT62ZN37YX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7AY526JJQWDFO6HNAT62ZN37YX/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":"2026-06-03T02:52:52Z","links":{"resolver":"https://pith.science/pith/7AY526JJQWDFO6HNAT62ZN37YX","bundle":"https://pith.science/pith/7AY526JJQWDFO6HNAT62ZN37YX/bundle.json","state":"https://pith.science/pith/7AY526JJQWDFO6HNAT62ZN37YX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7AY526JJQWDFO6HNAT62ZN37YX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7AY526JJQWDFO6HNAT62ZN37YX","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":"65f59a7941e881c9b01ae572c8bdc9c882300205a32c33cb4ebaf75c28923a02","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-08-17T16:02:15Z","title_canon_sha256":"a2baf815af92923aa40bef5bd610b950813439a29079c7b24db3359cb7285319"},"schema_version":"1.0","source":{"id":"cond-mat/0608400","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0608400","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0608400v2","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0608400","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"7AY526JJQWDF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7AY526JJQWDFO6HN","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7AY526JJ","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:8dfc9d8a3013bbfdacc8e9a1fce95ac86762ba20cf8cb5cdbf415beae0a39327","target":"graph","created_at":"2026-05-18T01:39:44Z","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 discrete time path integral Monte Carlo (PIMC) with a one-particle density matrix approximation is applied to study the quantum phase transition in the coupled double-well chain. To improve the convergence properties, the exact action for a single particle in a double well potential is used to construct the many-particle action. The algorithm is applied to the interacting quantum double-well chain for which the zero-temperature phase diagram is determined. The quantum phase transition is studied via finite-size scaling and the critical exponents are shown to be compatible with the classica","authors_text":"Dong-Hee Kim, Heiko Rieger, Yu-Cheng Lin","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-08-17T16:02:15Z","title":"Path integral Monte Carlo study of the interacting quantum double-well model: Quantum phase transition and phase diagram"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0608400","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":"sha256:87c6dbb04b27debfa33ca2c4fcd9ca8bea792ffcbb4d7bcf14bb07ca42a78d90","target":"record","created_at":"2026-05-18T01:39:44Z","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":"65f59a7941e881c9b01ae572c8bdc9c882300205a32c33cb4ebaf75c28923a02","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-08-17T16:02:15Z","title_canon_sha256":"a2baf815af92923aa40bef5bd610b950813439a29079c7b24db3359cb7285319"},"schema_version":"1.0","source":{"id":"cond-mat/0608400","kind":"arxiv","version":2}},"canonical_sha256":"f831dd792985865778ed04fdacb77fc5c298030a2c00fa7d048b089e03511dae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f831dd792985865778ed04fdacb77fc5c298030a2c00fa7d048b089e03511dae","first_computed_at":"2026-05-18T01:39:44.094695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:44.094695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G80tX8scax5erstAQ3v+7iz5uOaMHf7STw4Gk0RU7eSHyQxUBc8VK5jI/1Go8jtzHpJ8aFlqbPoerGRyOMhGDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:44.095411Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0608400","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87c6dbb04b27debfa33ca2c4fcd9ca8bea792ffcbb4d7bcf14bb07ca42a78d90","sha256:8dfc9d8a3013bbfdacc8e9a1fce95ac86762ba20cf8cb5cdbf415beae0a39327"],"state_sha256":"2c82f4caa0c51609e63f58c40f6074aa9ba16a106b3816c17228a8fcd1f91ba2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oFugVrc80KErTAqvFW+xDQdPKKaZ06UxxAXQpvOd0THT2Gdwl61RVas8ZLMKw0LesMCN9OjPc1uhmE7qZlwhAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T02:52:52.083945Z","bundle_sha256":"e31cb576a13ce766e9526bbbcf7d267115a971562c1715f2f09b6dc8ca09120a"}}