{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:QBRTS3RC5BTY35G44JRBKMC76J","short_pith_number":"pith:QBRTS3RC","canonical_record":{"source":{"id":"2411.16933","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-25T21:01:38Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"d74d0c0a961ca2e04dc54419748d4bf60fdafcff527c3d556dd5f934e465c3e7","abstract_canon_sha256":"a4e94845b50045befbff3a5527ab753ce522875c3092e7c35b98dc41184c6e21"},"schema_version":"1.0"},"canonical_sha256":"8063396e22e8678df4dce26215305ff2538ddb4bb40a3ff14cd3d65e0ee732da","source":{"kind":"arxiv","id":"2411.16933","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.16933","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"arxiv_version","alias_value":"2411.16933v2","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.16933","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"pith_short_12","alias_value":"QBRTS3RC5BTY","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"pith_short_16","alias_value":"QBRTS3RC5BTY35G4","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"pith_short_8","alias_value":"QBRTS3RC","created_at":"2026-07-05T11:27:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:QBRTS3RC5BTY35G44JRBKMC76J","target":"record","payload":{"canonical_record":{"source":{"id":"2411.16933","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-25T21:01:38Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"d74d0c0a961ca2e04dc54419748d4bf60fdafcff527c3d556dd5f934e465c3e7","abstract_canon_sha256":"a4e94845b50045befbff3a5527ab753ce522875c3092e7c35b98dc41184c6e21"},"schema_version":"1.0"},"canonical_sha256":"8063396e22e8678df4dce26215305ff2538ddb4bb40a3ff14cd3d65e0ee732da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:27:22.016100Z","signature_b64":"NHHNM7TyFhAy9ALOfkxPXTkYN7iw+O05JMC5MimKy3/Ofei43gC86/LSD/HJ9hvUVp5/aImbNJOGyo1NUf47Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8063396e22e8678df4dce26215305ff2538ddb4bb40a3ff14cd3d65e0ee732da","last_reissued_at":"2026-07-05T11:27:22.015616Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:27:22.015616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.16933","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:27:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PRRk7CT0Ua9SQWM8lOM8Boifd2rMFQ2I9um6ROA6v9jT7RLHqQHlVrSDTfJchGMJUpRKh2e4MZ03boJ4zg2rDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T07:46:54.836053Z"},"content_sha256":"1e8991fca27d627ba5e88283813225cabcda369f22dd5509c36e9e840d53d90a","schema_version":"1.0","event_id":"sha256:1e8991fca27d627ba5e88283813225cabcda369f22dd5509c36e9e840d53d90a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:QBRTS3RC5BTY35G44JRBKMC76J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A posteriori error estimates for the wave equation with mesh change in the leapfrog method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Carina Santos, Marcus J. Grote, Omar Lakkis","submitted_at":"2024-11-25T21:01:38Z","abstract_excerpt":"We derive a fully computable aposteriori error estimator for a Galerkin finite element solution of the wave equation with explicit leapfrog time-stepping. Our discrete formulation accommodates both time evolving meshes and leapfrog based local time-stepping (Diaz & Grote, 2009), which overcomes the stringent stability restriction on the time-step due to local mesh refinement. Thus we account for adaptive time-stepping with mesh change in a fully explicit time integration while retaining its efficiency. The error analysis relies on elliptic reconstructors and abstract grid transfer operators, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16933","kind":"arxiv","version":2},"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/2411.16933/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":"2026-07-05T11:27:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oqi5sXx9EvMj52ERYFWMGEzBmorxQtJuY/3PM4i8foUQi0JJpD9/YEpWriUgzDefwl2uB9/ZRSP79KMhDwPvAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T07:46:54.837121Z"},"content_sha256":"c968579be6a9c3376e5c8e418e1d96d82315144fa21fd76c611d2cc08941eee5","schema_version":"1.0","event_id":"sha256:c968579be6a9c3376e5c8e418e1d96d82315144fa21fd76c611d2cc08941eee5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBRTS3RC5BTY35G44JRBKMC76J/bundle.json","state_url":"https://pith.science/pith/QBRTS3RC5BTY35G44JRBKMC76J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBRTS3RC5BTY35G44JRBKMC76J/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":"2026-08-13T07:46:54Z","links":{"resolver":"https://pith.science/pith/QBRTS3RC5BTY35G44JRBKMC76J","bundle":"https://pith.science/pith/QBRTS3RC5BTY35G44JRBKMC76J/bundle.json","state":"https://pith.science/pith/QBRTS3RC5BTY35G44JRBKMC76J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBRTS3RC5BTY35G44JRBKMC76J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QBRTS3RC5BTY35G44JRBKMC76J","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":"a4e94845b50045befbff3a5527ab753ce522875c3092e7c35b98dc41184c6e21","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-25T21:01:38Z","title_canon_sha256":"d74d0c0a961ca2e04dc54419748d4bf60fdafcff527c3d556dd5f934e465c3e7"},"schema_version":"1.0","source":{"id":"2411.16933","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.16933","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"arxiv_version","alias_value":"2411.16933v2","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.16933","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"pith_short_12","alias_value":"QBRTS3RC5BTY","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"pith_short_16","alias_value":"QBRTS3RC5BTY35G4","created_at":"2026-07-05T11:27:22Z"},{"alias_kind":"pith_short_8","alias_value":"QBRTS3RC","created_at":"2026-07-05T11:27:22Z"}],"graph_snapshots":[{"event_id":"sha256:c968579be6a9c3376e5c8e418e1d96d82315144fa21fd76c611d2cc08941eee5","target":"graph","created_at":"2026-07-05T11:27:22Z","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/2411.16933/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a fully computable aposteriori error estimator for a Galerkin finite element solution of the wave equation with explicit leapfrog time-stepping. Our discrete formulation accommodates both time evolving meshes and leapfrog based local time-stepping (Diaz & Grote, 2009), which overcomes the stringent stability restriction on the time-step due to local mesh refinement. Thus we account for adaptive time-stepping with mesh change in a fully explicit time integration while retaining its efficiency. The error analysis relies on elliptic reconstructors and abstract grid transfer operators, w","authors_text":"Carina Santos, Marcus J. Grote, Omar Lakkis","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-25T21:01:38Z","title":"A posteriori error estimates for the wave equation with mesh change in the leapfrog method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16933","kind":"arxiv","version":2},"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":"sha256:1e8991fca27d627ba5e88283813225cabcda369f22dd5509c36e9e840d53d90a","target":"record","created_at":"2026-07-05T11:27:22Z","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":"a4e94845b50045befbff3a5527ab753ce522875c3092e7c35b98dc41184c6e21","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-25T21:01:38Z","title_canon_sha256":"d74d0c0a961ca2e04dc54419748d4bf60fdafcff527c3d556dd5f934e465c3e7"},"schema_version":"1.0","source":{"id":"2411.16933","kind":"arxiv","version":2}},"canonical_sha256":"8063396e22e8678df4dce26215305ff2538ddb4bb40a3ff14cd3d65e0ee732da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8063396e22e8678df4dce26215305ff2538ddb4bb40a3ff14cd3d65e0ee732da","first_computed_at":"2026-07-05T11:27:22.015616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:27:22.015616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NHHNM7TyFhAy9ALOfkxPXTkYN7iw+O05JMC5MimKy3/Ofei43gC86/LSD/HJ9hvUVp5/aImbNJOGyo1NUf47Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:27:22.016100Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.16933","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e8991fca27d627ba5e88283813225cabcda369f22dd5509c36e9e840d53d90a","sha256:c968579be6a9c3376e5c8e418e1d96d82315144fa21fd76c611d2cc08941eee5"],"state_sha256":"6105f68f31c5a1d985d49095c3852636e19d6b135adfb44202ae102538afdce3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wm0IbltAlCKBfwtuC94DZpdMQD9UqL79chf60r+KlowLLEObacI1Ex2agpYzIAda8H55HQhYx0BlTM+3WYgBBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T07:46:54.844326Z","bundle_sha256":"48adf52cfd9646cc46887bb5e7e61205764e2e5c72248d6e83f256778812e87c"}}