{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JJRHDWI5G6LUH73D72JSFEIX2X","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":"c3629d57adf5c9f117e7287ff9cd72e67ad356ad22dd0c95d0472dca6b4a823f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-01-13T09:32:50Z","title_canon_sha256":"d71cbd555fc052e2bf93d8b70104b7952df5b91a70d7595a12b7b5a332cc872d"},"schema_version":"1.0","source":{"id":"1001.2109","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2109","created_at":"2026-05-18T02:09:55Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2109v1","created_at":"2026-05-18T02:09:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2109","created_at":"2026-05-18T02:09:55Z"},{"alias_kind":"pith_short_12","alias_value":"JJRHDWI5G6LU","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JJRHDWI5G6LUH73D","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JJRHDWI5","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:614cfb08f2afd0b746acefa5bba19b575ed101d980377b49f8a021a054e33eac","target":"graph","created_at":"2026-05-18T02:09:55Z","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 study the maximization of the Tsallis functional at fixed mass and energy in the HMF model. We give a thermodynamical and a dynamical interpretation of this variational principle. This leads to q-distributions known as stellar polytropes in astrophysics. We study phase transitions between spatially homogeneous and spatially inhomogeneous equilibrium states. We show that there exists a particular index q_c=3 playing the role of a canonical tricritical point separating first and second order phase transitions in the canonical ensemble and marking the occurence of a negative specific heat regi","authors_text":"A. Campa, P.H Chavanis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-01-13T09:32:50Z","title":"Inhomogeneous Tsallis distributions in the HMF model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2109","kind":"arxiv","version":1},"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":"sha256:098ec13e81b8a69da7a68ed916efbc2dd8d8c82bd7211da29a2d1466a8f67645","target":"record","created_at":"2026-05-18T02:09:55Z","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":"c3629d57adf5c9f117e7287ff9cd72e67ad356ad22dd0c95d0472dca6b4a823f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-01-13T09:32:50Z","title_canon_sha256":"d71cbd555fc052e2bf93d8b70104b7952df5b91a70d7595a12b7b5a332cc872d"},"schema_version":"1.0","source":{"id":"1001.2109","kind":"arxiv","version":1}},"canonical_sha256":"4a6271d91d379743ff63fe93229117d5cb66db20d9ab041cbbf8ad67b11193ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a6271d91d379743ff63fe93229117d5cb66db20d9ab041cbbf8ad67b11193ae","first_computed_at":"2026-05-18T02:09:55.138965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:55.138965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oF1/CEz+VLdVmQ7G2NYBubu2LCzxT2Ylb25L4j5a4Jr8YNQS+CrVaU9GhNnJWMYU4ZaQqs6NPBIGseGBz7qVAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:55.139591Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2109","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:098ec13e81b8a69da7a68ed916efbc2dd8d8c82bd7211da29a2d1466a8f67645","sha256:614cfb08f2afd0b746acefa5bba19b575ed101d980377b49f8a021a054e33eac"],"state_sha256":"ce5e85e0ae7178dee609d39c73b00ff403bd68cd3e687441b207724714eb247c"}