{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:33RHSHB54KGEXNKIXU6NTKFNKV","short_pith_number":"pith:33RHSHB5","canonical_record":{"source":{"id":"2606.23504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-22T15:53:26Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"c70a11f8f7a861ad19034daa694fffc1f452dd17fd63e9c45b632c073950eacf","abstract_canon_sha256":"1b9896afe19b3d33ca26c80f33b0bbe6196d15f85d2e5edaeab20b9a540c3818"},"schema_version":"1.0"},"canonical_sha256":"dee2791c3de28c4bb548bd3cd9a8ad5542d54452d47a9aaedfb82d2ddec242b3","source":{"kind":"arxiv","id":"2606.23504","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.23504","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"arxiv_version","alias_value":"2606.23504v1","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.23504","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"pith_short_12","alias_value":"33RHSHB54KGE","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"pith_short_16","alias_value":"33RHSHB54KGEXNKI","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"pith_short_8","alias_value":"33RHSHB5","created_at":"2026-06-23T03:14:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:33RHSHB54KGEXNKIXU6NTKFNKV","target":"record","payload":{"canonical_record":{"source":{"id":"2606.23504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-22T15:53:26Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"c70a11f8f7a861ad19034daa694fffc1f452dd17fd63e9c45b632c073950eacf","abstract_canon_sha256":"1b9896afe19b3d33ca26c80f33b0bbe6196d15f85d2e5edaeab20b9a540c3818"},"schema_version":"1.0"},"canonical_sha256":"dee2791c3de28c4bb548bd3cd9a8ad5542d54452d47a9aaedfb82d2ddec242b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T03:14:21.774664Z","signature_b64":"PpJuHBHvcqohZ9+iZ0YZY2Lf7eyrAQsSyFb8lBfB6o9EkieTX716RCwpW7NByGpdted2aDflHf8QKsL/uTlHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dee2791c3de28c4bb548bd3cd9a8ad5542d54452d47a9aaedfb82d2ddec242b3","last_reissued_at":"2026-06-23T03:14:21.774250Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T03:14:21.774250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.23504","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-23T03:14:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GCle3lj8orekIsgt+evwfFDOid7Rpzhu/fvW2fqLTXzbbaSHKYWWEjn6Ck8PD4qghe9TgwK4+3zRqhEYl1j5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T08:35:27.392792Z"},"content_sha256":"a838e51dac0204b97ab912c86b5f78eaeed88831479177a328cc74526996c82f","schema_version":"1.0","event_id":"sha256:a838e51dac0204b97ab912c86b5f78eaeed88831479177a328cc74526996c82f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:33RHSHB54KGEXNKIXU6NTKFNKV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Projection-Based Reconstruction for Achieving High-Order Accuracy from Low-Order DGSEM Simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Esteban Ferrer, Oscar A. Marino, Suyash Shrestha, Xukun Wang","submitted_at":"2026-06-22T15:53:26Z","abstract_excerpt":"High-order discontinuous Galerkin spectral element methods (DGSEM) based on Legendre-Gauss-Lobatto (LGL) nodes provide accurate and efficient discretizations for conservation laws. However, their cost, memory footprint, and time-step restrictions increase rapidly when the degree of the polynomial increases. This paper develops a corrected $\\mathbb{P}_n\\mathbb{P}_m$ ($c\\mathbb{P}_n\\mathbb{P}_m$) approach for DGSEM-LGL discretizations that aims to recover the accuracy of an $m^{th}$-order approximation while evolving only the degrees of freedom associated with an $n^{th}$-order representation, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23504","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/2606.23504/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-23T03:14:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mgKIpuPRqcWlgCkfTh3tzyQi9/wDYzrB+O9+D5ioxTPSUeq9vsoG7gBgmM9H/zlcW2PMXsV2EV2vXqH2WUz9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T08:35:27.393170Z"},"content_sha256":"5c62704eb759ed2b655d324d2edf81d1413ac9d67d588bbe6e4688a18507e9e1","schema_version":"1.0","event_id":"sha256:5c62704eb759ed2b655d324d2edf81d1413ac9d67d588bbe6e4688a18507e9e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/33RHSHB54KGEXNKIXU6NTKFNKV/bundle.json","state_url":"https://pith.science/pith/33RHSHB54KGEXNKIXU6NTKFNKV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/33RHSHB54KGEXNKIXU6NTKFNKV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T08:35:27Z","links":{"resolver":"https://pith.science/pith/33RHSHB54KGEXNKIXU6NTKFNKV","bundle":"https://pith.science/pith/33RHSHB54KGEXNKIXU6NTKFNKV/bundle.json","state":"https://pith.science/pith/33RHSHB54KGEXNKIXU6NTKFNKV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/33RHSHB54KGEXNKIXU6NTKFNKV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:33RHSHB54KGEXNKIXU6NTKFNKV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1b9896afe19b3d33ca26c80f33b0bbe6196d15f85d2e5edaeab20b9a540c3818","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-22T15:53:26Z","title_canon_sha256":"c70a11f8f7a861ad19034daa694fffc1f452dd17fd63e9c45b632c073950eacf"},"schema_version":"1.0","source":{"id":"2606.23504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.23504","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"arxiv_version","alias_value":"2606.23504v1","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.23504","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"pith_short_12","alias_value":"33RHSHB54KGE","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"pith_short_16","alias_value":"33RHSHB54KGEXNKI","created_at":"2026-06-23T03:14:21Z"},{"alias_kind":"pith_short_8","alias_value":"33RHSHB5","created_at":"2026-06-23T03:14:21Z"}],"graph_snapshots":[{"event_id":"sha256:5c62704eb759ed2b655d324d2edf81d1413ac9d67d588bbe6e4688a18507e9e1","target":"graph","created_at":"2026-06-23T03:14:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.23504/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"High-order discontinuous Galerkin spectral element methods (DGSEM) based on Legendre-Gauss-Lobatto (LGL) nodes provide accurate and efficient discretizations for conservation laws. However, their cost, memory footprint, and time-step restrictions increase rapidly when the degree of the polynomial increases. This paper develops a corrected $\\mathbb{P}_n\\mathbb{P}_m$ ($c\\mathbb{P}_n\\mathbb{P}_m$) approach for DGSEM-LGL discretizations that aims to recover the accuracy of an $m^{th}$-order approximation while evolving only the degrees of freedom associated with an $n^{th}$-order representation, w","authors_text":"Esteban Ferrer, Oscar A. Marino, Suyash Shrestha, Xukun Wang","cross_cats":["cs.NA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-22T15:53:26Z","title":"Projection-Based Reconstruction for Achieving High-Order Accuracy from Low-Order DGSEM Simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23504","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a838e51dac0204b97ab912c86b5f78eaeed88831479177a328cc74526996c82f","target":"record","created_at":"2026-06-23T03:14:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1b9896afe19b3d33ca26c80f33b0bbe6196d15f85d2e5edaeab20b9a540c3818","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-22T15:53:26Z","title_canon_sha256":"c70a11f8f7a861ad19034daa694fffc1f452dd17fd63e9c45b632c073950eacf"},"schema_version":"1.0","source":{"id":"2606.23504","kind":"arxiv","version":1}},"canonical_sha256":"dee2791c3de28c4bb548bd3cd9a8ad5542d54452d47a9aaedfb82d2ddec242b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dee2791c3de28c4bb548bd3cd9a8ad5542d54452d47a9aaedfb82d2ddec242b3","first_computed_at":"2026-06-23T03:14:21.774250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T03:14:21.774250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PpJuHBHvcqohZ9+iZ0YZY2Lf7eyrAQsSyFb8lBfB6o9EkieTX716RCwpW7NByGpdted2aDflHf8QKsL/uTlHDQ==","signature_status":"signed_v1","signed_at":"2026-06-23T03:14:21.774664Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.23504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a838e51dac0204b97ab912c86b5f78eaeed88831479177a328cc74526996c82f","sha256:5c62704eb759ed2b655d324d2edf81d1413ac9d67d588bbe6e4688a18507e9e1"],"state_sha256":"85ee32bfd43c903799d887e991d8c8d80759a2f9938858fd030d2ca2643194ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iDvVoVujvNLRYjG9Eiwk8TwwdQvUJh0onv2r4PFtdlWiTrseyVjgL/Sx41TgFszXuLY9x3APDwnaXUm/91stAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T08:35:27.395115Z","bundle_sha256":"6de6448f32c6339f8b0fa8699d0d253893f74d2b933ea7979b43a009e99afae2"}}