{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:6EFBO3UALJUWX7HW46TI7W4KMS","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":"de92f13facb27ce0885ff4c514a4be80bffafb5f45fe7ae522365afade50330d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-12-11T13:22:36Z","title_canon_sha256":"a25db62324d86d21f99c4a2cd53fe4d64bd63d6a58ebe14a13090fc8ed0a01b0"},"schema_version":"1.0","source":{"id":"0912.2224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.2224","created_at":"2026-05-18T02:10:24Z"},{"alias_kind":"arxiv_version","alias_value":"0912.2224v1","created_at":"2026-05-18T02:10:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.2224","created_at":"2026-05-18T02:10:24Z"},{"alias_kind":"pith_short_12","alias_value":"6EFBO3UALJUW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6EFBO3UALJUWX7HW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6EFBO3UA","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:d390c9ad42f9a39682977e82479de22cabf240001a8c783dfe3f8a088d214f26","target":"graph","created_at":"2026-05-18T02:10:24Z","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":"(abridged) We explore in this paper the ability of spatially resolved spectroscopic measurements of the SZ effect (SZE) to determine the temperature profile of galaxy clusters. We derive a general formalism for the thermal SZE in galaxy clusters with a non-uniform temperature profile that can be applied to both cool-core clusters and non-cool core cluster with an isothermal or non-isothermal temperature structure. We derive an inversion technique through which the electron distribution function can be extracted from spectroscopic SZE observations over a wide frequency range. We study the fitti","authors_text":"P. Marchegiani, S. Colafrancesco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-12-11T13:22:36Z","title":"On the ability of spectroscopic SZ effect measurements to determine the temperature structure of galaxy clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.2224","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":"sha256:86b9fbd96e709a855d2cd9f072d340d193e7a8aed31d49aabeb3ad5ac141ad27","target":"record","created_at":"2026-05-18T02:10:24Z","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":"de92f13facb27ce0885ff4c514a4be80bffafb5f45fe7ae522365afade50330d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-12-11T13:22:36Z","title_canon_sha256":"a25db62324d86d21f99c4a2cd53fe4d64bd63d6a58ebe14a13090fc8ed0a01b0"},"schema_version":"1.0","source":{"id":"0912.2224","kind":"arxiv","version":1}},"canonical_sha256":"f10a176e805a696bfcf6e7a68fdb8a6485806e1f24b092d7533e010045e964c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f10a176e805a696bfcf6e7a68fdb8a6485806e1f24b092d7533e010045e964c3","first_computed_at":"2026-05-18T02:10:24.492271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:24.492271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FshdgpXmltz37XG9dV5PKh3NBm1C8zGM3TT/+spt9i0FmAadedVKqjLN+u4KG/M4wCR+bqiwmoAFzytlJrYxDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:24.492901Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.2224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86b9fbd96e709a855d2cd9f072d340d193e7a8aed31d49aabeb3ad5ac141ad27","sha256:d390c9ad42f9a39682977e82479de22cabf240001a8c783dfe3f8a088d214f26"],"state_sha256":"e4bb8f417f3e917f0ea6f81596a10a499e2e6e88d9e2156a3e024ff9338568ab"}