{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AYZAAL74OXBIQCWUG4PSIJPGHU","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":"dcfc2ce0a42d75c1c5c671484dc8ba4ee15868a866bc934d207e5b6e1151b08a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-06-09T17:23:06Z","title_canon_sha256":"7381124aed1492a251153837a332e6e388e12f94539fc3b7e021c7fecfaddccf"},"schema_version":"1.0","source":{"id":"2606.11124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.11124","created_at":"2026-06-10T01:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.11124v1","created_at":"2026-06-10T01:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.11124","created_at":"2026-06-10T01:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"AYZAAL74OXBI","created_at":"2026-06-10T01:11:12Z"},{"alias_kind":"pith_short_16","alias_value":"AYZAAL74OXBIQCWU","created_at":"2026-06-10T01:11:12Z"},{"alias_kind":"pith_short_8","alias_value":"AYZAAL74","created_at":"2026-06-10T01:11:12Z"}],"graph_snapshots":[{"event_id":"sha256:466f91c705b52875da5682750967b0fd3a6228530b3036a2ac21b5561c217c74","target":"graph","created_at":"2026-06-10T01:11:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.11124/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article we consider a system of coupled partial differential equations that mirrors the interconnection between the evolution of an electromagnetic field -- described by the Maxwell's system -- and that of the temperature distribution in a bounded region in three-dimension. A discussion of the mathematical model is provided. We establish the well-posedness of the initial-boundary value problems associated with the thermoelectromagnetic system, in an appropriate functional-analytic framework. Then, our investigation and main results pertain to the long-time behaviour of the solutions. I","authors_text":"Francesca Bucci, Matthias Eller, Nella Rotundo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-06-09T17:23:06Z","title":"Well-posedness and stability for a thermoelectromagnetic system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.11124","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":"sha256:1a67b067d359d401d121ef23522d697e1996c2c2f0b96e47c784d311ef161406","target":"record","created_at":"2026-06-10T01:11:12Z","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":"dcfc2ce0a42d75c1c5c671484dc8ba4ee15868a866bc934d207e5b6e1151b08a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-06-09T17:23:06Z","title_canon_sha256":"7381124aed1492a251153837a332e6e388e12f94539fc3b7e021c7fecfaddccf"},"schema_version":"1.0","source":{"id":"2606.11124","kind":"arxiv","version":1}},"canonical_sha256":"0632002ffc75c2880ad4371f2425e63d095241662adbbe6592efc4ebe9d9790c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0632002ffc75c2880ad4371f2425e63d095241662adbbe6592efc4ebe9d9790c","first_computed_at":"2026-06-10T01:11:12.351871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:11:12.351871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ETbxvsSdDAOoijK7mzyxQzNoFVVKUvonNqUlxJ7+I5dvn+lwb07ihRFoHD3eBkgyTRAFk8U9ugBNsaCF+9CDw==","signature_status":"signed_v1","signed_at":"2026-06-10T01:11:12.352718Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.11124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a67b067d359d401d121ef23522d697e1996c2c2f0b96e47c784d311ef161406","sha256:466f91c705b52875da5682750967b0fd3a6228530b3036a2ac21b5561c217c74"],"state_sha256":"e7568d3b843cda41ff85f2c1664db159faf6aae4d5fc75fc5ee48f292085fd16"}