{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TGMRXKNYTIMSPUL4KRGIZGMPXJ","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":"712934a8d9738dc9bf7d0dbf8bd731f08eb8b59027f01156c8cda32c4f196670","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-20T04:31:55Z","title_canon_sha256":"a626241a883d0ebdbc7ece9333ae13586cb0c42f04d76cd92d7a5e3f6f22c7f8"},"schema_version":"1.0","source":{"id":"1501.04710","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04710","created_at":"2026-05-18T01:33:06Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04710v2","created_at":"2026-05-18T01:33:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04710","created_at":"2026-05-18T01:33:06Z"},{"alias_kind":"pith_short_12","alias_value":"TGMRXKNYTIMS","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TGMRXKNYTIMSPUL4","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TGMRXKNY","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:d99001cbcc38ba3085df48169b856701d88d705c48cf13394b915e347593520d","target":"graph","created_at":"2026-05-18T01:33:06Z","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":"We investigate response to an external magnetic field in the Hamiltonian mean-field model, which is a paradigmatic toy model of a ferromagnetic body and consists of plane rotators like the XY spins. Due to long-range interactions, the external field drives the system to a long-lasting quasistationary state before reaching thermal equilibrium, and the susceptibility tensor obtained in the quasista- tionary state is predicted by a linear response theory based on the Vlasov equation. For spatially homogeneous stable states, whose momentum distributions are asymmetric with zero-means, the theory r","authors_text":"Yoshiyuki Y. Yamaguchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-20T04:31:55Z","title":"Non-diagonalizable and non-divergent susceptibility tensor in the Hamiltonian mean-field model with asymmetric momentum distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04710","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:cc5266712e83f805fca71af73c64e1cd2e44e2f17ca913426cb0e10617b92b2f","target":"record","created_at":"2026-05-18T01:33:06Z","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":"712934a8d9738dc9bf7d0dbf8bd731f08eb8b59027f01156c8cda32c4f196670","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-20T04:31:55Z","title_canon_sha256":"a626241a883d0ebdbc7ece9333ae13586cb0c42f04d76cd92d7a5e3f6f22c7f8"},"schema_version":"1.0","source":{"id":"1501.04710","kind":"arxiv","version":2}},"canonical_sha256":"99991ba9b89a1927d17c544c8c998fba55cf665e907c858234bd7d279a294bc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99991ba9b89a1927d17c544c8c998fba55cf665e907c858234bd7d279a294bc8","first_computed_at":"2026-05-18T01:33:06.467807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:06.467807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bZpien214g0M8KMjEm00NzMi/mJs7ukmfSTXPf7fQUyJJMso5ngaKQrEKEhj5UFVU+FxLtW1Dyhdk8z7inCiBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:06.468615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.04710","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc5266712e83f805fca71af73c64e1cd2e44e2f17ca913426cb0e10617b92b2f","sha256:d99001cbcc38ba3085df48169b856701d88d705c48cf13394b915e347593520d"],"state_sha256":"45e51a64fb103514d087ce76a97775cc6eab5500c3274a9f346eadfaa63d933a"}