{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:Q7RGWTT5HXE352HMQSRYSQ7BS5","short_pith_number":"pith:Q7RGWTT5","schema_version":"1.0","canonical_sha256":"87e26b4e7d3dc9bee8ec84a38943e1975be4c03d6743cc88e39a89a825565405","source":{"kind":"arxiv","id":"2412.15493","version":1},"attestation_state":"computed","paper":{"title":"Giant number-parity effect leading to spontaneous symmetry breaking in finite-size quantum spin models","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Fabio Mezzacapo, Filippo Caleca, Saverio Bocini, Tommaso Roscilde","submitted_at":"2024-12-20T02:14:08Z","abstract_excerpt":"Spontaneous symmetry breaking (SSB) occurs when a many-body system governed by a symmetric Hamiltonian, and prepared in a symmetry-broken state by the application of a field coupling to its order parameter $O$, retains a finite $O$ value even after the field is switched off. SSB is generally thought to occur only in the thermodynamic limit $N\\to \\infty$ (for $N$ degrees of freedom). In this limit, the time to restore the symmetry once the field is turned off, either via thermal or quantum fluctuations, is expected to diverge. Here we show that SSB can also be observed in \\emph{finite-size} qua"},"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":"2412.15493","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-12-20T02:14:08Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9ea8cdf13f4af38e59b0afdc52eec4974eefd8313994107e82c684eb7ea842cd","abstract_canon_sha256":"234f43d4f2f40f7040f269ed79db5f2e4d837efb6818e9a250863a3cab0dc06b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:52:24.191378Z","signature_b64":"8atGC+dlysTeo31YyKDO+WfwxPSGLWvSh5W0LrZhcjPW/fok2THh2DQxlbnfp6z0ozjhKo4HHyql84CNXWTKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87e26b4e7d3dc9bee8ec84a38943e1975be4c03d6743cc88e39a89a825565405","last_reissued_at":"2026-07-05T09:52:24.190325Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:52:24.190325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Giant number-parity effect leading to spontaneous symmetry breaking in finite-size quantum spin models","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Fabio Mezzacapo, Filippo Caleca, Saverio Bocini, Tommaso Roscilde","submitted_at":"2024-12-20T02:14:08Z","abstract_excerpt":"Spontaneous symmetry breaking (SSB) occurs when a many-body system governed by a symmetric Hamiltonian, and prepared in a symmetry-broken state by the application of a field coupling to its order parameter $O$, retains a finite $O$ value even after the field is switched off. SSB is generally thought to occur only in the thermodynamic limit $N\\to \\infty$ (for $N$ degrees of freedom). In this limit, the time to restore the symmetry once the field is turned off, either via thermal or quantum fluctuations, is expected to diverge. Here we show that SSB can also be observed in \\emph{finite-size} qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.15493","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/2412.15493/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":"2412.15493","created_at":"2026-07-05T09:52:24.190935+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.15493v1","created_at":"2026-07-05T09:52:24.190935+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.15493","created_at":"2026-07-05T09:52:24.190935+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q7RGWTT5HXE3","created_at":"2026-07-05T09:52:24.190935+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q7RGWTT5HXE352HM","created_at":"2026-07-05T09:52:24.190935+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q7RGWTT5","created_at":"2026-07-05T09:52:24.190935+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.08206","citing_title":"Exponential onset of scalable entanglement via twist-and-turn dynamics in XY models","ref_index":34,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Q7RGWTT5HXE352HMQSRYSQ7BS5","json":"https://pith.science/pith/Q7RGWTT5HXE352HMQSRYSQ7BS5.json","graph_json":"https://pith.science/api/pith-number/Q7RGWTT5HXE352HMQSRYSQ7BS5/graph.json","events_json":"https://pith.science/api/pith-number/Q7RGWTT5HXE352HMQSRYSQ7BS5/events.json","paper":"https://pith.science/paper/Q7RGWTT5"},"agent_actions":{"view_html":"https://pith.science/pith/Q7RGWTT5HXE352HMQSRYSQ7BS5","download_json":"https://pith.science/pith/Q7RGWTT5HXE352HMQSRYSQ7BS5.json","view_paper":"https://pith.science/paper/Q7RGWTT5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.15493&json=true","fetch_graph":"https://pith.science/api/pith-number/Q7RGWTT5HXE352HMQSRYSQ7BS5/graph.json","fetch_events":"https://pith.science/api/pith-number/Q7RGWTT5HXE352HMQSRYSQ7BS5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q7RGWTT5HXE352HMQSRYSQ7BS5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q7RGWTT5HXE352HMQSRYSQ7BS5/action/storage_attestation","attest_author":"https://pith.science/pith/Q7RGWTT5HXE352HMQSRYSQ7BS5/action/author_attestation","sign_citation":"https://pith.science/pith/Q7RGWTT5HXE352HMQSRYSQ7BS5/action/citation_signature","submit_replication":"https://pith.science/pith/Q7RGWTT5HXE352HMQSRYSQ7BS5/action/replication_record"}},"created_at":"2026-07-05T09:52:24.190935+00:00","updated_at":"2026-07-05T09:52:24.190935+00:00"}