{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:VQOD6FOHFHKLED3NBYTFVCMZXR","short_pith_number":"pith:VQOD6FOH","schema_version":"1.0","canonical_sha256":"ac1c3f15c729d4b20f6d0e265a8999bc5cd71539fbac73dc3cd551395baaad59","source":{"kind":"arxiv","id":"2302.08718","version":1},"attestation_state":"computed","paper":{"title":"Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Neela Nataraj, Nitesh Verma, Rekha Khot","submitted_at":"2023-02-17T06:19:02Z","abstract_excerpt":"This paper focuses on the analysis of conforming virtual element methods for general second-order linear elliptic problems with rough source terms and applies it to a Poisson inverse source problem with rough measurements. For the forward problem, when the source term belongs to $H^{-1}(\\Omega)$, the right-hand side for the discrete approximation defined through polynomial projections is not meaningful even for standard conforming virtual element method. The modified discrete scheme in this paper introduces a novel companion operator in the context of conforming virtual element method and allo"},"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":"2302.08718","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2023-02-17T06:19:02Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"c2b8a916e0a883ce6c58dae514151f32b7e8245fe437481440497ea718909a92","abstract_canon_sha256":"d8d94ea2271dc524bc18523f8f26d2e09109be380dd3e297b1fe2ee3d53d0501"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:42:53.987759Z","signature_b64":"Aq9lkVLV8Sde0sPoYp8UWUkJKiROlr1/Hjxz+4FQ9Y3pVt2RciKyGLMegXRn73HOyyXZWLv3ajN7AHotImIDDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac1c3f15c729d4b20f6d0e265a8999bc5cd71539fbac73dc3cd551395baaad59","last_reissued_at":"2026-07-05T05:42:53.987340Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:42:53.987340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Neela Nataraj, Nitesh Verma, Rekha Khot","submitted_at":"2023-02-17T06:19:02Z","abstract_excerpt":"This paper focuses on the analysis of conforming virtual element methods for general second-order linear elliptic problems with rough source terms and applies it to a Poisson inverse source problem with rough measurements. For the forward problem, when the source term belongs to $H^{-1}(\\Omega)$, the right-hand side for the discrete approximation defined through polynomial projections is not meaningful even for standard conforming virtual element method. The modified discrete scheme in this paper introduces a novel companion operator in the context of conforming virtual element method and allo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.08718","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.08718/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":"2302.08718","created_at":"2026-07-05T05:42:53.987406+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.08718v1","created_at":"2026-07-05T05:42:53.987406+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.08718","created_at":"2026-07-05T05:42:53.987406+00:00"},{"alias_kind":"pith_short_12","alias_value":"VQOD6FOHFHKL","created_at":"2026-07-05T05:42:53.987406+00:00"},{"alias_kind":"pith_short_16","alias_value":"VQOD6FOHFHKLED3N","created_at":"2026-07-05T05:42:53.987406+00:00"},{"alias_kind":"pith_short_8","alias_value":"VQOD6FOH","created_at":"2026-07-05T05:42:53.987406+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/VQOD6FOHFHKLED3NBYTFVCMZXR","json":"https://pith.science/pith/VQOD6FOHFHKLED3NBYTFVCMZXR.json","graph_json":"https://pith.science/api/pith-number/VQOD6FOHFHKLED3NBYTFVCMZXR/graph.json","events_json":"https://pith.science/api/pith-number/VQOD6FOHFHKLED3NBYTFVCMZXR/events.json","paper":"https://pith.science/paper/VQOD6FOH"},"agent_actions":{"view_html":"https://pith.science/pith/VQOD6FOHFHKLED3NBYTFVCMZXR","download_json":"https://pith.science/pith/VQOD6FOHFHKLED3NBYTFVCMZXR.json","view_paper":"https://pith.science/paper/VQOD6FOH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.08718&json=true","fetch_graph":"https://pith.science/api/pith-number/VQOD6FOHFHKLED3NBYTFVCMZXR/graph.json","fetch_events":"https://pith.science/api/pith-number/VQOD6FOHFHKLED3NBYTFVCMZXR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VQOD6FOHFHKLED3NBYTFVCMZXR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VQOD6FOHFHKLED3NBYTFVCMZXR/action/storage_attestation","attest_author":"https://pith.science/pith/VQOD6FOHFHKLED3NBYTFVCMZXR/action/author_attestation","sign_citation":"https://pith.science/pith/VQOD6FOHFHKLED3NBYTFVCMZXR/action/citation_signature","submit_replication":"https://pith.science/pith/VQOD6FOHFHKLED3NBYTFVCMZXR/action/replication_record"}},"created_at":"2026-07-05T05:42:53.987406+00:00","updated_at":"2026-07-05T05:42:53.987406+00:00"}