{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:2WITJMDPSNU6AO2TC4IJH3XVAO","short_pith_number":"pith:2WITJMDP","schema_version":"1.0","canonical_sha256":"d59134b06f9369e03b53171093eef503b83a92faae34c729db62378142db2552","source":{"kind":"arxiv","id":"2506.08697","version":2},"attestation_state":"computed","paper":{"title":"Nonexistence results for the semilinear wave equation on graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dario Daniele Monticelli, Fabio Punzo, Jacopo Somaglia","submitted_at":"2025-06-10T11:24:51Z","abstract_excerpt":"We investigate the semilinear wave equation with potential on weighted graphs. We establish sufficient conditions for the nonexistence of global-in-time solutions. Both nonnegative and sign-changing solutions are considered. In particular, the proof for sign-changing solutions relies on a novel technique for this type of result."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.08697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-06-10T11:24:51Z","cross_cats_sorted":[],"title_canon_sha256":"02ff2196c3d0d55188478e01831630e2e9787e57d5b87f50070bbf0c3698b05c","abstract_canon_sha256":"c3330920edd26be63ab662199f7e8fe510d3eb60865249d4dadee4a7c36c4873"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:22:41.678904Z","signature_b64":"HqTXSBoTfQOAt/65ULtJlVVK0EtXgvCvIFV0hQbxcmB00GDa0c/yqL302ZZoGmgI1bL7OhvPsF79A7WRnepHCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d59134b06f9369e03b53171093eef503b83a92faae34c729db62378142db2552","last_reissued_at":"2026-07-05T11:22:41.678396Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:22:41.678396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonexistence results for the semilinear wave equation on graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dario Daniele Monticelli, Fabio Punzo, Jacopo Somaglia","submitted_at":"2025-06-10T11:24:51Z","abstract_excerpt":"We investigate the semilinear wave equation with potential on weighted graphs. We establish sufficient conditions for the nonexistence of global-in-time solutions. Both nonnegative and sign-changing solutions are considered. In particular, the proof for sign-changing solutions relies on a novel technique for this type of result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.08697","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.08697/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2506.08697","created_at":"2026-07-05T11:22:41.678464+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.08697v2","created_at":"2026-07-05T11:22:41.678464+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.08697","created_at":"2026-07-05T11:22:41.678464+00:00"},{"alias_kind":"pith_short_12","alias_value":"2WITJMDPSNU6","created_at":"2026-07-05T11:22:41.678464+00:00"},{"alias_kind":"pith_short_16","alias_value":"2WITJMDPSNU6AO2T","created_at":"2026-07-05T11:22:41.678464+00:00"},{"alias_kind":"pith_short_8","alias_value":"2WITJMDP","created_at":"2026-07-05T11:22:41.678464+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.08490","citing_title":"Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs","ref_index":46,"is_internal_anchor":false},{"citing_arxiv_id":"2604.03736","citing_title":"Nonexistence results for semilinear elliptic equations on metric graphs","ref_index":41,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2WITJMDPSNU6AO2TC4IJH3XVAO","json":"https://pith.science/pith/2WITJMDPSNU6AO2TC4IJH3XVAO.json","graph_json":"https://pith.science/api/pith-number/2WITJMDPSNU6AO2TC4IJH3XVAO/graph.json","events_json":"https://pith.science/api/pith-number/2WITJMDPSNU6AO2TC4IJH3XVAO/events.json","paper":"https://pith.science/paper/2WITJMDP"},"agent_actions":{"view_html":"https://pith.science/pith/2WITJMDPSNU6AO2TC4IJH3XVAO","download_json":"https://pith.science/pith/2WITJMDPSNU6AO2TC4IJH3XVAO.json","view_paper":"https://pith.science/paper/2WITJMDP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.08697&json=true","fetch_graph":"https://pith.science/api/pith-number/2WITJMDPSNU6AO2TC4IJH3XVAO/graph.json","fetch_events":"https://pith.science/api/pith-number/2WITJMDPSNU6AO2TC4IJH3XVAO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2WITJMDPSNU6AO2TC4IJH3XVAO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2WITJMDPSNU6AO2TC4IJH3XVAO/action/storage_attestation","attest_author":"https://pith.science/pith/2WITJMDPSNU6AO2TC4IJH3XVAO/action/author_attestation","sign_citation":"https://pith.science/pith/2WITJMDPSNU6AO2TC4IJH3XVAO/action/citation_signature","submit_replication":"https://pith.science/pith/2WITJMDPSNU6AO2TC4IJH3XVAO/action/replication_record"}},"created_at":"2026-07-05T11:22:41.678464+00:00","updated_at":"2026-07-05T11:22:41.678464+00:00"}