{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TFGPA6DYIAMX3W47QNYBKTSJQE","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":"a6f4d77a33a95866605842e00a8ca639edb5a7c6e4192cb0742c7af43c8b5fe2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-21T09:43:27Z","title_canon_sha256":"e68bf2afb51aa8b9a83c16657d5f4a2f9e278d9a908b19c17cf324ba719c8424"},"schema_version":"1.0","source":{"id":"2411.13976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13976","created_at":"2026-07-05T09:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13976v1","created_at":"2026-07-05T09:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13976","created_at":"2026-07-05T09:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"TFGPA6DYIAMX","created_at":"2026-07-05T09:38:39Z"},{"alias_kind":"pith_short_16","alias_value":"TFGPA6DYIAMX3W47","created_at":"2026-07-05T09:38:39Z"},{"alias_kind":"pith_short_8","alias_value":"TFGPA6DY","created_at":"2026-07-05T09:38:39Z"}],"graph_snapshots":[{"event_id":"sha256:a0d582a10dede9941be56f03e819a819c4434f22c63201e6a5de5a769d0e9c48","target":"graph","created_at":"2026-07-05T09:38:39Z","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/2411.13976/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The system under studying is for a piezoelectric beams system with magnetic effects, frictional dampings and source terms. We use the concavity method to study the competition of the dampings and the sources that leads to a blow-up result for solutions with negative initial energy.","authors_text":"Mohammad Kafini","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-21T09:43:27Z","title":"Blow-up result for a piezoelectric beams system with magnetic effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13976","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":"sha256:7525799e6d9594e8a4a482ab3a86357aaf6d71f0dc80af41bfe09ab74d10cff9","target":"record","created_at":"2026-07-05T09:38:39Z","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":"a6f4d77a33a95866605842e00a8ca639edb5a7c6e4192cb0742c7af43c8b5fe2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-21T09:43:27Z","title_canon_sha256":"e68bf2afb51aa8b9a83c16657d5f4a2f9e278d9a908b19c17cf324ba719c8424"},"schema_version":"1.0","source":{"id":"2411.13976","kind":"arxiv","version":1}},"canonical_sha256":"994cf0787840197ddb9f8370154e4981126499be0ddcb3c375017db4dae67474","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"994cf0787840197ddb9f8370154e4981126499be0ddcb3c375017db4dae67474","first_computed_at":"2026-07-05T09:38:39.726626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:38:39.726626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rk4u0PItuIOhyaMZLTXbrRtOrmHJpEJBCK/Yk0JxBYBlkyuQJBL86cfQjIFclIQrz/dwmwkiOrbv6jv80qiPDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:38:39.727017Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.13976","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7525799e6d9594e8a4a482ab3a86357aaf6d71f0dc80af41bfe09ab74d10cff9","sha256:a0d582a10dede9941be56f03e819a819c4434f22c63201e6a5de5a769d0e9c48"],"state_sha256":"e3bf9438d48f06a3d1f9805d2b808446abc54cf7bf4f7854ab9bdf6722d852aa"}