{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:CASTCKZ62U44VH262KGUWUJ6ZK","short_pith_number":"pith:CASTCKZ6","schema_version":"1.0","canonical_sha256":"1025312b3ed539ca9f5ed28d4b513eca8c1f100eded670d88376a98e40cae40d","source":{"kind":"arxiv","id":"1901.03444","version":1},"attestation_state":"computed","paper":{"title":"On the Second Eigenvalue of Combination Between Local and Nonlocal $p$-Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Divya Goel, K. Sreenadh","submitted_at":"2019-01-11T01:14:32Z","abstract_excerpt":"In this paper, we study Mountain Pass Characterization of the second eigenvalue of the operator $-\\De_p u -\\De_{J,p}u$ and study shape optimization problems related to these eigenvalues."},"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":"1901.03444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-01-11T01:14:32Z","cross_cats_sorted":[],"title_canon_sha256":"c97092a9e1f02bcab22b82e86350ef119a60e17f7711c85a81ea3cf57f3dfe90","abstract_canon_sha256":"843da0fccf1e5a55b4a50e9653eec88c38896d05e09feeeee3f50f57769e0d44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:31.225180Z","signature_b64":"an+Adq3OI0dREEnjKiz8pcoWfPddRYuzkOSA14Etbh+Ukc9mcFjYKWqOIXblWqOMeemY4eQBFb7UyEUTL6hTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1025312b3ed539ca9f5ed28d4b513eca8c1f100eded670d88376a98e40cae40d","last_reissued_at":"2026-05-17T23:56:31.224762Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:31.224762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Second Eigenvalue of Combination Between Local and Nonlocal $p$-Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Divya Goel, K. Sreenadh","submitted_at":"2019-01-11T01:14:32Z","abstract_excerpt":"In this paper, we study Mountain Pass Characterization of the second eigenvalue of the operator $-\\De_p u -\\De_{J,p}u$ and study shape optimization problems related to these eigenvalues."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.03444","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1901.03444","created_at":"2026-05-17T23:56:31.224825+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.03444v1","created_at":"2026-05-17T23:56:31.224825+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.03444","created_at":"2026-05-17T23:56:31.224825+00:00"},{"alias_kind":"pith_short_12","alias_value":"CASTCKZ62U44","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"CASTCKZ62U44VH26","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"CASTCKZ6","created_at":"2026-05-18T12:33:12.712433+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CASTCKZ62U44VH262KGUWUJ6ZK","json":"https://pith.science/pith/CASTCKZ62U44VH262KGUWUJ6ZK.json","graph_json":"https://pith.science/api/pith-number/CASTCKZ62U44VH262KGUWUJ6ZK/graph.json","events_json":"https://pith.science/api/pith-number/CASTCKZ62U44VH262KGUWUJ6ZK/events.json","paper":"https://pith.science/paper/CASTCKZ6"},"agent_actions":{"view_html":"https://pith.science/pith/CASTCKZ62U44VH262KGUWUJ6ZK","download_json":"https://pith.science/pith/CASTCKZ62U44VH262KGUWUJ6ZK.json","view_paper":"https://pith.science/paper/CASTCKZ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.03444&json=true","fetch_graph":"https://pith.science/api/pith-number/CASTCKZ62U44VH262KGUWUJ6ZK/graph.json","fetch_events":"https://pith.science/api/pith-number/CASTCKZ62U44VH262KGUWUJ6ZK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CASTCKZ62U44VH262KGUWUJ6ZK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CASTCKZ62U44VH262KGUWUJ6ZK/action/storage_attestation","attest_author":"https://pith.science/pith/CASTCKZ62U44VH262KGUWUJ6ZK/action/author_attestation","sign_citation":"https://pith.science/pith/CASTCKZ62U44VH262KGUWUJ6ZK/action/citation_signature","submit_replication":"https://pith.science/pith/CASTCKZ62U44VH262KGUWUJ6ZK/action/replication_record"}},"created_at":"2026-05-17T23:56:31.224825+00:00","updated_at":"2026-05-17T23:56:31.224825+00:00"}