{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:KJCOZT7D64PNEQCTR36SB3OO7Y","short_pith_number":"pith:KJCOZT7D","schema_version":"1.0","canonical_sha256":"5244eccfe3f71ed240538efd20edcefe2f69d12893d9d8698dd6180a7692a64e","source":{"kind":"arxiv","id":"2608.03736","version":1},"attestation_state":"computed","paper":{"title":"Preserving Symmetry: Spontaneous Symmetry Breaking through Decoherence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Sam Kuypers","submitted_at":"2026-08-04T14:30:28Z","abstract_excerpt":"Solids appear to have localised centres of mass, yet many-body quantum theory describes them using translationally symmetric models that preclude localisation. Conventionally, this is resolved through spontaneous symmetry breaking by introducing an interaction with a semiclassical environment that breaks the symmetry. In the thermodynamic limit, the interaction can be removed while leaving the state localised. This, however, raises the question of how localisation arises outside the thermodynamic limit, i.e., in finite quantum systems (Wallace, 2018). Here, we show that, by quantising the envi"},"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":"2608.03736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-04T14:30:28Z","cross_cats_sorted":[],"title_canon_sha256":"c76506abcfa55e47b03afb674fc4b9e8827fb0b8c9e0851ae0be5edb384c0ee7","abstract_canon_sha256":"a9e4b32cf889d6f0d79dd1cd21b25c71ee02d688975e9ab433fe530b513ee56f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-05T01:36:59.309476Z","signature_b64":"dgIUfHmfRaPYSTuf5gHVD1RVZs1mcE08PPi32oKEIfdnr2VObxa+PZY1iuiJ6+U7GtO9Kz1J5Xh/wwGkkHJ+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5244eccfe3f71ed240538efd20edcefe2f69d12893d9d8698dd6180a7692a64e","last_reissued_at":"2026-08-05T01:36:59.308066Z","signature_status":"signed_v1","first_computed_at":"2026-08-05T01:36:59.308066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Preserving Symmetry: Spontaneous Symmetry Breaking through Decoherence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Sam Kuypers","submitted_at":"2026-08-04T14:30:28Z","abstract_excerpt":"Solids appear to have localised centres of mass, yet many-body quantum theory describes them using translationally symmetric models that preclude localisation. Conventionally, this is resolved through spontaneous symmetry breaking by introducing an interaction with a semiclassical environment that breaks the symmetry. In the thermodynamic limit, the interaction can be removed while leaving the state localised. This, however, raises the question of how localisation arises outside the thermodynamic limit, i.e., in finite quantum systems (Wallace, 2018). Here, we show that, by quantising the envi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.03736","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.03736/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":"2608.03736","created_at":"2026-08-05T01:36:59.308546+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.03736v1","created_at":"2026-08-05T01:36:59.308546+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.03736","created_at":"2026-08-05T01:36:59.308546+00:00"},{"alias_kind":"pith_short_12","alias_value":"KJCOZT7D64PN","created_at":"2026-08-05T01:36:59.308546+00:00"},{"alias_kind":"pith_short_16","alias_value":"KJCOZT7D64PNEQCT","created_at":"2026-08-05T01:36:59.308546+00:00"},{"alias_kind":"pith_short_8","alias_value":"KJCOZT7D","created_at":"2026-08-05T01:36:59.308546+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KJCOZT7D64PNEQCTR36SB3OO7Y","json":"https://pith.science/pith/KJCOZT7D64PNEQCTR36SB3OO7Y.json","graph_json":"https://pith.science/api/pith-number/KJCOZT7D64PNEQCTR36SB3OO7Y/graph.json","events_json":"https://pith.science/api/pith-number/KJCOZT7D64PNEQCTR36SB3OO7Y/events.json","paper":"https://pith.science/paper/KJCOZT7D"},"agent_actions":{"view_html":"https://pith.science/pith/KJCOZT7D64PNEQCTR36SB3OO7Y","download_json":"https://pith.science/pith/KJCOZT7D64PNEQCTR36SB3OO7Y.json","view_paper":"https://pith.science/paper/KJCOZT7D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.03736&json=true","fetch_graph":"https://pith.science/api/pith-number/KJCOZT7D64PNEQCTR36SB3OO7Y/graph.json","fetch_events":"https://pith.science/api/pith-number/KJCOZT7D64PNEQCTR36SB3OO7Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KJCOZT7D64PNEQCTR36SB3OO7Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KJCOZT7D64PNEQCTR36SB3OO7Y/action/storage_attestation","attest_author":"https://pith.science/pith/KJCOZT7D64PNEQCTR36SB3OO7Y/action/author_attestation","sign_citation":"https://pith.science/pith/KJCOZT7D64PNEQCTR36SB3OO7Y/action/citation_signature","submit_replication":"https://pith.science/pith/KJCOZT7D64PNEQCTR36SB3OO7Y/action/replication_record"}},"created_at":"2026-08-05T01:36:59.308546+00:00","updated_at":"2026-08-05T01:36:59.308546+00:00"}