{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:CGVBFZ3B42Y6QMRHQK6O7T2PR7","short_pith_number":"pith:CGVBFZ3B","schema_version":"1.0","canonical_sha256":"11aa12e761e6b1e8322782bcefcf4f8fe2576cb875492a02669c62e3a2f943cb","source":{"kind":"arxiv","id":"2502.10502","version":3},"attestation_state":"computed","paper":{"title":"Classical representation of the dynamics of quantum spin chains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Tony Jin","submitted_at":"2025-02-14T19:00:11Z","abstract_excerpt":"Since the advent of quantum mechanics, classical probability interpretations have faced significant challenges. A notable issue arises with the emergence of negative probabilities when attempting to define the joint probability of non-commutative observables. In this work, we propose a resolution to this dilemma for quantum spin chains, by introducing an exact representation of their dynamics in terms of classical continuous-time Markov chains (CTMCs). These CTMCs effectively model the creation, annihilation, and propagation of pairs of classical particles and antiparticles. The quantum dynami"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2502.10502","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-14T19:00:11Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"698c5b3adda53e457ec5ff368ed636754112ea9f2b396ad374e11c7387ec20e7","abstract_canon_sha256":"3e77b9774d771038d2f624e80d4421076447abc3b5ea9386dc145e2e9a11e0f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-11T00:08:10.350249Z","signature_b64":"IAB6U7WOeUwR5bStGOMrsL4LzlLHSWSaHr7GkCaiYRj46rXZNUMikotfeHGlOVjYdRIjUF6QVhVLVJ62UIXpDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11aa12e761e6b1e8322782bcefcf4f8fe2576cb875492a02669c62e3a2f943cb","last_reissued_at":"2026-06-11T00:08:10.349297Z","signature_status":"signed_v1","first_computed_at":"2026-06-11T00:08:10.349297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classical representation of the dynamics of quantum spin chains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Tony Jin","submitted_at":"2025-02-14T19:00:11Z","abstract_excerpt":"Since the advent of quantum mechanics, classical probability interpretations have faced significant challenges. A notable issue arises with the emergence of negative probabilities when attempting to define the joint probability of non-commutative observables. In this work, we propose a resolution to this dilemma for quantum spin chains, by introducing an exact representation of their dynamics in terms of classical continuous-time Markov chains (CTMCs). These CTMCs effectively model the creation, annihilation, and propagation of pairs of classical particles and antiparticles. The quantum dynami"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10502","kind":"arxiv","version":3},"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/2502.10502/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2502.10502","created_at":"2026-06-11T00:08:10.349474+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.10502v3","created_at":"2026-06-11T00:08:10.349474+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10502","created_at":"2026-06-11T00:08:10.349474+00:00"},{"alias_kind":"pith_short_12","alias_value":"CGVBFZ3B42Y6","created_at":"2026-06-11T00:08:10.349474+00:00"},{"alias_kind":"pith_short_16","alias_value":"CGVBFZ3B42Y6QMRH","created_at":"2026-06-11T00:08:10.349474+00:00"},{"alias_kind":"pith_short_8","alias_value":"CGVBFZ3B","created_at":"2026-06-11T00:08:10.349474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2607.02341","citing_title":"Kardar-Parisi-Zhang dynamics in an open integrable system: beyond the spontaneous-symmetry-breaking ansatz","ref_index":49,"is_internal_anchor":true},{"citing_arxiv_id":"2604.19889","citing_title":"Quantum-to-Classical Computability Transition via Negative Markov Chains","ref_index":42,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CGVBFZ3B42Y6QMRHQK6O7T2PR7","json":"https://pith.science/pith/CGVBFZ3B42Y6QMRHQK6O7T2PR7.json","graph_json":"https://pith.science/api/pith-number/CGVBFZ3B42Y6QMRHQK6O7T2PR7/graph.json","events_json":"https://pith.science/api/pith-number/CGVBFZ3B42Y6QMRHQK6O7T2PR7/events.json","paper":"https://pith.science/paper/CGVBFZ3B"},"agent_actions":{"view_html":"https://pith.science/pith/CGVBFZ3B42Y6QMRHQK6O7T2PR7","download_json":"https://pith.science/pith/CGVBFZ3B42Y6QMRHQK6O7T2PR7.json","view_paper":"https://pith.science/paper/CGVBFZ3B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.10502&json=true","fetch_graph":"https://pith.science/api/pith-number/CGVBFZ3B42Y6QMRHQK6O7T2PR7/graph.json","fetch_events":"https://pith.science/api/pith-number/CGVBFZ3B42Y6QMRHQK6O7T2PR7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CGVBFZ3B42Y6QMRHQK6O7T2PR7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CGVBFZ3B42Y6QMRHQK6O7T2PR7/action/storage_attestation","attest_author":"https://pith.science/pith/CGVBFZ3B42Y6QMRHQK6O7T2PR7/action/author_attestation","sign_citation":"https://pith.science/pith/CGVBFZ3B42Y6QMRHQK6O7T2PR7/action/citation_signature","submit_replication":"https://pith.science/pith/CGVBFZ3B42Y6QMRHQK6O7T2PR7/action/replication_record"}},"created_at":"2026-06-11T00:08:10.349474+00:00","updated_at":"2026-06-11T00:08:10.349474+00:00"}