{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:DNK5HPT3RSGIT5F2JLID7CH4MK","short_pith_number":"pith:DNK5HPT3","canonical_record":{"source":{"id":"2009.09641","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-09-21T06:58:17Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"afe6b58137e6e5bc14ba4e7e6c1acd40cb1f00d27d69b6e97dc25367f47c3f82","abstract_canon_sha256":"e3932d8e098c2f730f45b6fc54f2b85b40b4216923de6c3f4fa8eeb1fb86f269"},"schema_version":"1.0"},"canonical_sha256":"1b55d3be7b8c8c89f4ba4ad03f88fc6296c595235cc00a9a43e9195a4b4d63e3","source":{"kind":"arxiv","id":"2009.09641","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.09641","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"arxiv_version","alias_value":"2009.09641v2","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.09641","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"pith_short_12","alias_value":"DNK5HPT3RSGI","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"pith_short_16","alias_value":"DNK5HPT3RSGIT5F2","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"pith_short_8","alias_value":"DNK5HPT3","created_at":"2026-07-05T02:39:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:DNK5HPT3RSGIT5F2JLID7CH4MK","target":"record","payload":{"canonical_record":{"source":{"id":"2009.09641","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-09-21T06:58:17Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"afe6b58137e6e5bc14ba4e7e6c1acd40cb1f00d27d69b6e97dc25367f47c3f82","abstract_canon_sha256":"e3932d8e098c2f730f45b6fc54f2b85b40b4216923de6c3f4fa8eeb1fb86f269"},"schema_version":"1.0"},"canonical_sha256":"1b55d3be7b8c8c89f4ba4ad03f88fc6296c595235cc00a9a43e9195a4b4d63e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:39:05.225788Z","signature_b64":"XSnSjn7Bxi+qDbEfTGaG6A8TA3CLEhpgATdmD6x3cOoTx3youse+35W0FRC1Pu75d1qgUvM90A/h7HIv4EDBBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b55d3be7b8c8c89f4ba4ad03f88fc6296c595235cc00a9a43e9195a4b4d63e3","last_reissued_at":"2026-07-05T02:39:05.225403Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:39:05.225403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2009.09641","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":"2026-07-05T02:39:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qSD4ksu2KP75o7yBt7OdDqWV/BQzBEqTqUnhLDZt9LCg71YnBzeYHEqNzR6ccfpMUFv+9n2RLRFJODTOhpiECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:09:54.165949Z"},"content_sha256":"7f7ba114e4b437b281a18490c69c8690831bb95eb26d716d87d1c4b380eedf33","schema_version":"1.0","event_id":"sha256:7f7ba114e4b437b281a18490c69c8690831bb95eb26d716d87d1c4b380eedf33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:DNK5HPT3RSGIT5F2JLID7CH4MK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A conservative fully-discrete numerical method for the regularised shallow water wave equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"David I. Ketcheson, Dimitrios Mitsotakis, Endre S\\\"uli, Hendrik Ranocha","submitted_at":"2020-09-21T06:58:17Z","abstract_excerpt":"The paper proposes a new, conservative fully-discrete scheme for the numerical solution of the regularised shallow water Boussinesq system of equations in the cases of periodic and reflective boundary conditions. The particular system is one of a class of equations derived recently and can be used in practical simulations to describe the propagation of weakly nonlinear and weakly dispersive long water waves, such as tsunamis. Studies of small-amplitude long waves usually require long-time simulations in order to investigate scenarios such as the overtaking collision of two solitary waves or th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.09641","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/2009.09641/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":"2026-07-05T02:39:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ScBJngVC0fV+E2ecZyIqAPa0YraTVZNFTiuTOMV2p9jUUSAM2iwzN0oJLE9BRdr7h53f+/Q/5CzL+j9kZmvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:09:54.166450Z"},"content_sha256":"9a25be99626435d2e51b76d1126440f138719879a0f5e835f401ec56097e0ff4","schema_version":"1.0","event_id":"sha256:9a25be99626435d2e51b76d1126440f138719879a0f5e835f401ec56097e0ff4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DNK5HPT3RSGIT5F2JLID7CH4MK/bundle.json","state_url":"https://pith.science/pith/DNK5HPT3RSGIT5F2JLID7CH4MK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DNK5HPT3RSGIT5F2JLID7CH4MK/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":"2026-08-04T18:09:54Z","links":{"resolver":"https://pith.science/pith/DNK5HPT3RSGIT5F2JLID7CH4MK","bundle":"https://pith.science/pith/DNK5HPT3RSGIT5F2JLID7CH4MK/bundle.json","state":"https://pith.science/pith/DNK5HPT3RSGIT5F2JLID7CH4MK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DNK5HPT3RSGIT5F2JLID7CH4MK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:DNK5HPT3RSGIT5F2JLID7CH4MK","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":"e3932d8e098c2f730f45b6fc54f2b85b40b4216923de6c3f4fa8eeb1fb86f269","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-09-21T06:58:17Z","title_canon_sha256":"afe6b58137e6e5bc14ba4e7e6c1acd40cb1f00d27d69b6e97dc25367f47c3f82"},"schema_version":"1.0","source":{"id":"2009.09641","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.09641","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"arxiv_version","alias_value":"2009.09641v2","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.09641","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"pith_short_12","alias_value":"DNK5HPT3RSGI","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"pith_short_16","alias_value":"DNK5HPT3RSGIT5F2","created_at":"2026-07-05T02:39:05Z"},{"alias_kind":"pith_short_8","alias_value":"DNK5HPT3","created_at":"2026-07-05T02:39:05Z"}],"graph_snapshots":[{"event_id":"sha256:9a25be99626435d2e51b76d1126440f138719879a0f5e835f401ec56097e0ff4","target":"graph","created_at":"2026-07-05T02:39:05Z","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/2009.09641/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper proposes a new, conservative fully-discrete scheme for the numerical solution of the regularised shallow water Boussinesq system of equations in the cases of periodic and reflective boundary conditions. The particular system is one of a class of equations derived recently and can be used in practical simulations to describe the propagation of weakly nonlinear and weakly dispersive long water waves, such as tsunamis. Studies of small-amplitude long waves usually require long-time simulations in order to investigate scenarios such as the overtaking collision of two solitary waves or th","authors_text":"David I. Ketcheson, Dimitrios Mitsotakis, Endre S\\\"uli, Hendrik Ranocha","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-09-21T06:58:17Z","title":"A conservative fully-discrete numerical method for the regularised shallow water wave equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.09641","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":"sha256:7f7ba114e4b437b281a18490c69c8690831bb95eb26d716d87d1c4b380eedf33","target":"record","created_at":"2026-07-05T02:39:05Z","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":"e3932d8e098c2f730f45b6fc54f2b85b40b4216923de6c3f4fa8eeb1fb86f269","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-09-21T06:58:17Z","title_canon_sha256":"afe6b58137e6e5bc14ba4e7e6c1acd40cb1f00d27d69b6e97dc25367f47c3f82"},"schema_version":"1.0","source":{"id":"2009.09641","kind":"arxiv","version":2}},"canonical_sha256":"1b55d3be7b8c8c89f4ba4ad03f88fc6296c595235cc00a9a43e9195a4b4d63e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b55d3be7b8c8c89f4ba4ad03f88fc6296c595235cc00a9a43e9195a4b4d63e3","first_computed_at":"2026-07-05T02:39:05.225403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:39:05.225403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XSnSjn7Bxi+qDbEfTGaG6A8TA3CLEhpgATdmD6x3cOoTx3youse+35W0FRC1Pu75d1qgUvM90A/h7HIv4EDBBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:39:05.225788Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.09641","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f7ba114e4b437b281a18490c69c8690831bb95eb26d716d87d1c4b380eedf33","sha256:9a25be99626435d2e51b76d1126440f138719879a0f5e835f401ec56097e0ff4"],"state_sha256":"54fac034f2d40f0a7df76cbfe7521896a7ed90d2d750ed8c47480df959b266d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n/kzpTfSJftRZvmE8zdSATTpTq5vimeXV7CIAXJ2y2vuSn+r0HpucejKZQnriUwSWNOwURrukOyDAjzv3TXoDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T18:09:54.171824Z","bundle_sha256":"4391db071fbef4328cf3b994a44e480526ca318638bb2a2c260fd8601818fa2e"}}