{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:Q6UJ6CMKJQQK23U3C7L5NSFQRQ","short_pith_number":"pith:Q6UJ6CMK","schema_version":"1.0","canonical_sha256":"87a89f098a4c20ad6e9b17d7d6c8b08c281a9185f8c66eafcb5c7f0be35b7274","source":{"kind":"arxiv","id":"1506.01859","version":1},"attestation_state":"computed","paper":{"title":"On the Convergence of Space-Time Discontinuous Galerkin Schemes for Scalar Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Georg May (1), Mohammad Zakerzadeh (1) ((1) AICES, RWTH Aachen)","submitted_at":"2015-06-05T10:47:09Z","abstract_excerpt":"We prove convergence of a class of space-time discontinuous Galerkin schemes for scalar hyperbolic conservation laws. Convergence to the unique entropy solution is shown for all orders of polynomial approximation, provided strictly monotone flux functions and a suitable shock-capturing operator are used. The main improvement, compared to previously published results of similar scope, is that no streamline-diffusion stabilization is used. This is the way discontinuous Galerkin schemes were originally proposed, and are most often used in practice."},"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":"1506.01859","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-06-05T10:47:09Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"3902009c8109c373b3dbe52855e7ac252e4f5b1a28c530b55b158b36ad4e8e52","abstract_canon_sha256":"83926d5fe071b136ad3544519765994a9c5f3a2e9b07736a53101d5269005a87"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:18.036723Z","signature_b64":"Py/mrSk2r/pel/S2lflfmeRLbeS7d5WgSRFIqet/gDfOJrZeTObLfjsE7Ix8dfjH01rJdw2Wam2L3nh+i+CeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87a89f098a4c20ad6e9b17d7d6c8b08c281a9185f8c66eafcb5c7f0be35b7274","last_reissued_at":"2026-05-18T01:14:18.036145Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:18.036145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Convergence of Space-Time Discontinuous Galerkin Schemes for Scalar Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Georg May (1), Mohammad Zakerzadeh (1) ((1) AICES, RWTH Aachen)","submitted_at":"2015-06-05T10:47:09Z","abstract_excerpt":"We prove convergence of a class of space-time discontinuous Galerkin schemes for scalar hyperbolic conservation laws. Convergence to the unique entropy solution is shown for all orders of polynomial approximation, provided strictly monotone flux functions and a suitable shock-capturing operator are used. The main improvement, compared to previously published results of similar scope, is that no streamline-diffusion stabilization is used. This is the way discontinuous Galerkin schemes were originally proposed, and are most often used in practice."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01859","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":"1506.01859","created_at":"2026-05-18T01:14:18.036264+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.01859v1","created_at":"2026-05-18T01:14:18.036264+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01859","created_at":"2026-05-18T01:14:18.036264+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q6UJ6CMKJQQK","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q6UJ6CMKJQQK23U3","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q6UJ6CMK","created_at":"2026-05-18T12:29:37.295048+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/Q6UJ6CMKJQQK23U3C7L5NSFQRQ","json":"https://pith.science/pith/Q6UJ6CMKJQQK23U3C7L5NSFQRQ.json","graph_json":"https://pith.science/api/pith-number/Q6UJ6CMKJQQK23U3C7L5NSFQRQ/graph.json","events_json":"https://pith.science/api/pith-number/Q6UJ6CMKJQQK23U3C7L5NSFQRQ/events.json","paper":"https://pith.science/paper/Q6UJ6CMK"},"agent_actions":{"view_html":"https://pith.science/pith/Q6UJ6CMKJQQK23U3C7L5NSFQRQ","download_json":"https://pith.science/pith/Q6UJ6CMKJQQK23U3C7L5NSFQRQ.json","view_paper":"https://pith.science/paper/Q6UJ6CMK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.01859&json=true","fetch_graph":"https://pith.science/api/pith-number/Q6UJ6CMKJQQK23U3C7L5NSFQRQ/graph.json","fetch_events":"https://pith.science/api/pith-number/Q6UJ6CMKJQQK23U3C7L5NSFQRQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q6UJ6CMKJQQK23U3C7L5NSFQRQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q6UJ6CMKJQQK23U3C7L5NSFQRQ/action/storage_attestation","attest_author":"https://pith.science/pith/Q6UJ6CMKJQQK23U3C7L5NSFQRQ/action/author_attestation","sign_citation":"https://pith.science/pith/Q6UJ6CMKJQQK23U3C7L5NSFQRQ/action/citation_signature","submit_replication":"https://pith.science/pith/Q6UJ6CMKJQQK23U3C7L5NSFQRQ/action/replication_record"}},"created_at":"2026-05-18T01:14:18.036264+00:00","updated_at":"2026-05-18T01:14:18.036264+00:00"}