{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:D7RZMIQGUWKIM7JLH5EW4CVNDD","short_pith_number":"pith:D7RZMIQG","schema_version":"1.0","canonical_sha256":"1fe3962206a594867d2b3f496e0aad18e76a67754e4909cee0876d3d70cf7c9a","source":{"kind":"arxiv","id":"1103.0022","version":2},"attestation_state":"computed","paper":{"title":"Characterizing and Quantifying Frustration in Quantum Many-Body Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.other","authors_text":"A. Monras, F. Illuminati, G. Gualdi, S. M. Giampaolo","submitted_at":"2011-02-28T21:11:05Z","abstract_excerpt":"We present a general scheme for the study of frustration in quantum systems. We introduce a universal measure of frustration for arbitrary quantum systems and we relate it to a class of entanglement monotones via an exact inequality. If all the (pure) ground states of a given Hamiltonian saturate the inequality, then the system is said to be inequality saturating. We introduce sufficient conditions for a quantum spin system to be inequality saturating and confirm them with extensive numerical tests. These conditions provide a generalization to the quantum domain of the Toulouse criteria for cl"},"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":"1103.0022","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2011-02-28T21:11:05Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"ad5422f9317cf56ea0a74194a3ed0a1b57385d3c9b4c279d4244ac1ec9846ae9","abstract_canon_sha256":"9bc20b3d80e5362ed8eabb310dfb0541f5a01089223563676c9f48e77cb5c979"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:15.040347Z","signature_b64":"JE94nWsjK0/jRUdU+VM7nNVcsWmeVUSE380FBaXUlZ3zY7aL0GbgytHr2YwN8iGPgFbmjpSuUwlIQwBLMT07DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fe3962206a594867d2b3f496e0aad18e76a67754e4909cee0876d3d70cf7c9a","last_reissued_at":"2026-05-18T04:05:15.039613Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:15.039613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterizing and Quantifying Frustration in Quantum Many-Body Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.other","authors_text":"A. Monras, F. Illuminati, G. Gualdi, S. M. Giampaolo","submitted_at":"2011-02-28T21:11:05Z","abstract_excerpt":"We present a general scheme for the study of frustration in quantum systems. We introduce a universal measure of frustration for arbitrary quantum systems and we relate it to a class of entanglement monotones via an exact inequality. If all the (pure) ground states of a given Hamiltonian saturate the inequality, then the system is said to be inequality saturating. We introduce sufficient conditions for a quantum spin system to be inequality saturating and confirm them with extensive numerical tests. These conditions provide a generalization to the quantum domain of the Toulouse criteria for cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0022","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1103.0022","created_at":"2026-05-18T04:05:15.039732+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.0022v2","created_at":"2026-05-18T04:05:15.039732+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0022","created_at":"2026-05-18T04:05:15.039732+00:00"},{"alias_kind":"pith_short_12","alias_value":"D7RZMIQGUWKI","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"D7RZMIQGUWKIM7JL","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"D7RZMIQG","created_at":"2026-05-18T12:26:26.731475+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/D7RZMIQGUWKIM7JLH5EW4CVNDD","json":"https://pith.science/pith/D7RZMIQGUWKIM7JLH5EW4CVNDD.json","graph_json":"https://pith.science/api/pith-number/D7RZMIQGUWKIM7JLH5EW4CVNDD/graph.json","events_json":"https://pith.science/api/pith-number/D7RZMIQGUWKIM7JLH5EW4CVNDD/events.json","paper":"https://pith.science/paper/D7RZMIQG"},"agent_actions":{"view_html":"https://pith.science/pith/D7RZMIQGUWKIM7JLH5EW4CVNDD","download_json":"https://pith.science/pith/D7RZMIQGUWKIM7JLH5EW4CVNDD.json","view_paper":"https://pith.science/paper/D7RZMIQG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.0022&json=true","fetch_graph":"https://pith.science/api/pith-number/D7RZMIQGUWKIM7JLH5EW4CVNDD/graph.json","fetch_events":"https://pith.science/api/pith-number/D7RZMIQGUWKIM7JLH5EW4CVNDD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D7RZMIQGUWKIM7JLH5EW4CVNDD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D7RZMIQGUWKIM7JLH5EW4CVNDD/action/storage_attestation","attest_author":"https://pith.science/pith/D7RZMIQGUWKIM7JLH5EW4CVNDD/action/author_attestation","sign_citation":"https://pith.science/pith/D7RZMIQGUWKIM7JLH5EW4CVNDD/action/citation_signature","submit_replication":"https://pith.science/pith/D7RZMIQGUWKIM7JLH5EW4CVNDD/action/replication_record"}},"created_at":"2026-05-18T04:05:15.039732+00:00","updated_at":"2026-05-18T04:05:15.039732+00:00"}