{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WR5UMAU3F4OUJUXZNH5D4BJBYD","short_pith_number":"pith:WR5UMAU3","canonical_record":{"source":{"id":"1203.5305","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2012-03-23T17:47:04Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"20e0f3930ab5829cf76c874cf75ac6945891670cde8633b5d2d254a5ff6cd3da","abstract_canon_sha256":"e6e156b500a8537dfd0198f0456dfa9200843b4100f68cebc68bf5fe5b0714f5"},"schema_version":"1.0"},"canonical_sha256":"b47b46029b2f1d44d2f969fa3e0521c0c5dc46dfd57411071590e7995d7596e0","source":{"kind":"arxiv","id":"1203.5305","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5305","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5305v1","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5305","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"pith_short_12","alias_value":"WR5UMAU3F4OU","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WR5UMAU3F4OUJUXZ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WR5UMAU3","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WR5UMAU3F4OUJUXZNH5D4BJBYD","target":"record","payload":{"canonical_record":{"source":{"id":"1203.5305","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2012-03-23T17:47:04Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"20e0f3930ab5829cf76c874cf75ac6945891670cde8633b5d2d254a5ff6cd3da","abstract_canon_sha256":"e6e156b500a8537dfd0198f0456dfa9200843b4100f68cebc68bf5fe5b0714f5"},"schema_version":"1.0"},"canonical_sha256":"b47b46029b2f1d44d2f969fa3e0521c0c5dc46dfd57411071590e7995d7596e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:03.887550Z","signature_b64":"Bu24A+p8z14HWcN4XM9JC43sEqYFqhF++iplP+9BSAwh2MItzXiMCX1MmsP/RjgZTDnIzYn2Zegefiarmxl3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b47b46029b2f1d44d2f969fa3e0521c0c5dc46dfd57411071590e7995d7596e0","last_reissued_at":"2026-05-18T01:58:03.886919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:03.886919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.5305","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":"2026-05-18T01:58:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pqBQcSZHC4tXgqnbGzot8iNZeRHqt0YQqwP4sEgaEOR1mKqf0b7mxGSYRS/Kw1XEkU9408RHKSoK4ocIbY1nAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:10:30.414986Z"},"content_sha256":"9ac483e424f53dc66235ecd25e3d3db128259a78050dba8cb4d8ac93099ec758","schema_version":"1.0","event_id":"sha256:9ac483e424f53dc66235ecd25e3d3db128259a78050dba8cb4d8ac93099ec758"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WR5UMAU3F4OUJUXZNH5D4BJBYD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A fast high-order method to calculate wakefield forces in an electron beam","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.acc-ph","authors_text":"Chad Mitchell, Ji Qiang, Robert D. Ryne","submitted_at":"2012-03-23T17:47:04Z","abstract_excerpt":"In this paper we report on a high-order fast method to numerically calculate wakefield forces in an electron beam given a wake function model. This method is based on a Newton-Cotes quadrature rule for integral approximation and an FFT method for discrete summation that results in an $O(Nlog(N))$ computational cost, where $N$ is the number of grid points. Using the Simpson quadrature rule with an accuracy of $O(h^4)$, where $h$ is the grid size, we present numerical calculation of the wakefields from a resonator wake function model and from a one-dimensional coherent synchrotron radiation (CSR"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5305","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:58:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uW49bf5l+2yeNJxk74JMuEHTofFyh5jqDZw3s1ApqUT7E4HMXAdkhMyEczZkAWGiul5vjqcCnDNQfnKJSg7wCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:10:30.415732Z"},"content_sha256":"62d294bcc5d0d6e3969c19484b419a04adea5b1019e975001737519aa725ee33","schema_version":"1.0","event_id":"sha256:62d294bcc5d0d6e3969c19484b419a04adea5b1019e975001737519aa725ee33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WR5UMAU3F4OUJUXZNH5D4BJBYD/bundle.json","state_url":"https://pith.science/pith/WR5UMAU3F4OUJUXZNH5D4BJBYD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WR5UMAU3F4OUJUXZNH5D4BJBYD/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":"2026-05-25T23:10:30Z","links":{"resolver":"https://pith.science/pith/WR5UMAU3F4OUJUXZNH5D4BJBYD","bundle":"https://pith.science/pith/WR5UMAU3F4OUJUXZNH5D4BJBYD/bundle.json","state":"https://pith.science/pith/WR5UMAU3F4OUJUXZNH5D4BJBYD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WR5UMAU3F4OUJUXZNH5D4BJBYD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WR5UMAU3F4OUJUXZNH5D4BJBYD","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":"e6e156b500a8537dfd0198f0456dfa9200843b4100f68cebc68bf5fe5b0714f5","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2012-03-23T17:47:04Z","title_canon_sha256":"20e0f3930ab5829cf76c874cf75ac6945891670cde8633b5d2d254a5ff6cd3da"},"schema_version":"1.0","source":{"id":"1203.5305","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5305","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5305v1","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5305","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"pith_short_12","alias_value":"WR5UMAU3F4OU","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WR5UMAU3F4OUJUXZ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WR5UMAU3","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:62d294bcc5d0d6e3969c19484b419a04adea5b1019e975001737519aa725ee33","target":"graph","created_at":"2026-05-18T01:58:03Z","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"},"paper":{"abstract_excerpt":"In this paper we report on a high-order fast method to numerically calculate wakefield forces in an electron beam given a wake function model. This method is based on a Newton-Cotes quadrature rule for integral approximation and an FFT method for discrete summation that results in an $O(Nlog(N))$ computational cost, where $N$ is the number of grid points. Using the Simpson quadrature rule with an accuracy of $O(h^4)$, where $h$ is the grid size, we present numerical calculation of the wakefields from a resonator wake function model and from a one-dimensional coherent synchrotron radiation (CSR","authors_text":"Chad Mitchell, Ji Qiang, Robert D. Ryne","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2012-03-23T17:47:04Z","title":"A fast high-order method to calculate wakefield forces in an electron beam"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5305","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":"sha256:9ac483e424f53dc66235ecd25e3d3db128259a78050dba8cb4d8ac93099ec758","target":"record","created_at":"2026-05-18T01:58:03Z","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":"e6e156b500a8537dfd0198f0456dfa9200843b4100f68cebc68bf5fe5b0714f5","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2012-03-23T17:47:04Z","title_canon_sha256":"20e0f3930ab5829cf76c874cf75ac6945891670cde8633b5d2d254a5ff6cd3da"},"schema_version":"1.0","source":{"id":"1203.5305","kind":"arxiv","version":1}},"canonical_sha256":"b47b46029b2f1d44d2f969fa3e0521c0c5dc46dfd57411071590e7995d7596e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b47b46029b2f1d44d2f969fa3e0521c0c5dc46dfd57411071590e7995d7596e0","first_computed_at":"2026-05-18T01:58:03.886919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:03.886919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bu24A+p8z14HWcN4XM9JC43sEqYFqhF++iplP+9BSAwh2MItzXiMCX1MmsP/RjgZTDnIzYn2Zegefiarmxl3Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:03.887550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.5305","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ac483e424f53dc66235ecd25e3d3db128259a78050dba8cb4d8ac93099ec758","sha256:62d294bcc5d0d6e3969c19484b419a04adea5b1019e975001737519aa725ee33"],"state_sha256":"04587916a37f890738c0b4a93a50d356c9bf8e6fa2ad95b049a6a23ea3cb8aa8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1i7OKLDpQAqCN6u2BDIfWCmX8x9+jhpD1k6lu4uJYLRQ+ueaYrL50kVU1Vc62UAs12APYgTsjld61hlislA7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:10:30.418669Z","bundle_sha256":"c37b64f0cf9f95a529d09ec587e4d096e002a9a044bf8a95564469aa2456ac5f"}}