{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:73D4OP5NVZU6JUK2FIZ6SWSUO4","short_pith_number":"pith:73D4OP5N","schema_version":"1.0","canonical_sha256":"fec7c73fadae69e4d15a2a33e95a547734bf20f64d053941b82fc46efc322e03","source":{"kind":"arxiv","id":"1409.7653","version":1},"attestation_state":"computed","paper":{"title":"A fully discrete Calderon Calculus for the two-dimensional elastic wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Francisco-Javier Sayas, Tonatiuh Sanchez-Vizuet, Victor Dominguez","submitted_at":"2014-09-26T17:58:56Z","abstract_excerpt":"In this paper we present a full discretization of the layer potentials and boundary integral operators for the elastic wave equation on a parametrizable smooth closed curve in the plane. The method can be understood as a non-conforming Petrov-Galerkin discretization, with a very precise choice of testing functions by symmetrically combining elements on two staggered grids, and using a look-around quadrature formula. Unlike in the acoustic counterpart of this work, the kernel of the elastic double layer operator includes a periodic Hilbert transform that requires a particular choice of the mixi"},"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":"1409.7653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-09-26T17:58:56Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"53f37244b14e46b68eb9162d748072afdd193a3a2ee7269839f6671529fd4a35","abstract_canon_sha256":"1b0c93bb45dfb356f7e16a72ba0290f28cc54ba05b288beaec5131fcf34e7423"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T16:08:47.078647Z","signature_b64":"Xw9Kgm4CQVcyaYrPJMyT0dRagKgFQ2ZCjrWOn3mQYUkrEn+WCeNcp9tU99L5DowGi/SzPlS2D9GXjLZSzxT9AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fec7c73fadae69e4d15a2a33e95a547734bf20f64d053941b82fc46efc322e03","last_reissued_at":"2026-06-04T16:08:47.078149Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T16:08:47.078149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A fully discrete Calderon Calculus for the two-dimensional elastic wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Francisco-Javier Sayas, Tonatiuh Sanchez-Vizuet, Victor Dominguez","submitted_at":"2014-09-26T17:58:56Z","abstract_excerpt":"In this paper we present a full discretization of the layer potentials and boundary integral operators for the elastic wave equation on a parametrizable smooth closed curve in the plane. The method can be understood as a non-conforming Petrov-Galerkin discretization, with a very precise choice of testing functions by symmetrically combining elements on two staggered grids, and using a look-around quadrature formula. Unlike in the acoustic counterpart of this work, the kernel of the elastic double layer operator includes a periodic Hilbert transform that requires a particular choice of the mixi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7653","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/1409.7653/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":"1409.7653","created_at":"2026-06-04T16:08:47.078222+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.7653v1","created_at":"2026-06-04T16:08:47.078222+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7653","created_at":"2026-06-04T16:08:47.078222+00:00"},{"alias_kind":"pith_short_12","alias_value":"73D4OP5NVZU6","created_at":"2026-06-04T16:08:47.078222+00:00"},{"alias_kind":"pith_short_16","alias_value":"73D4OP5NVZU6JUK2","created_at":"2026-06-04T16:08:47.078222+00:00"},{"alias_kind":"pith_short_8","alias_value":"73D4OP5N","created_at":"2026-06-04T16:08:47.078222+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/73D4OP5NVZU6JUK2FIZ6SWSUO4","json":"https://pith.science/pith/73D4OP5NVZU6JUK2FIZ6SWSUO4.json","graph_json":"https://pith.science/api/pith-number/73D4OP5NVZU6JUK2FIZ6SWSUO4/graph.json","events_json":"https://pith.science/api/pith-number/73D4OP5NVZU6JUK2FIZ6SWSUO4/events.json","paper":"https://pith.science/paper/73D4OP5N"},"agent_actions":{"view_html":"https://pith.science/pith/73D4OP5NVZU6JUK2FIZ6SWSUO4","download_json":"https://pith.science/pith/73D4OP5NVZU6JUK2FIZ6SWSUO4.json","view_paper":"https://pith.science/paper/73D4OP5N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.7653&json=true","fetch_graph":"https://pith.science/api/pith-number/73D4OP5NVZU6JUK2FIZ6SWSUO4/graph.json","fetch_events":"https://pith.science/api/pith-number/73D4OP5NVZU6JUK2FIZ6SWSUO4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/73D4OP5NVZU6JUK2FIZ6SWSUO4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/73D4OP5NVZU6JUK2FIZ6SWSUO4/action/storage_attestation","attest_author":"https://pith.science/pith/73D4OP5NVZU6JUK2FIZ6SWSUO4/action/author_attestation","sign_citation":"https://pith.science/pith/73D4OP5NVZU6JUK2FIZ6SWSUO4/action/citation_signature","submit_replication":"https://pith.science/pith/73D4OP5NVZU6JUK2FIZ6SWSUO4/action/replication_record"}},"created_at":"2026-06-04T16:08:47.078222+00:00","updated_at":"2026-06-04T16:08:47.078222+00:00"}