{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:C5ARUFLCAR2AIA2EWJKHQ7ESJB","short_pith_number":"pith:C5ARUFLC","canonical_record":{"source":{"id":"1105.3660","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-05-18T15:18:08Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"b886be7d732dcdd86b16b09790ce9359256217af1440d27ad0ef9c0be7f3fd8f","abstract_canon_sha256":"93acd6ec0250918e38adad4fbfdb0c316846b29dc8473b739b8466c59fe62554"},"schema_version":"1.0"},"canonical_sha256":"17411a15620474040344b254787c924841243fce3d789cbc12cfe2bdb8ddfe65","source":{"kind":"arxiv","id":"1105.3660","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3660","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3660v2","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3660","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"C5ARUFLCAR2A","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C5ARUFLCAR2AIA2E","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C5ARUFLC","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:C5ARUFLCAR2AIA2EWJKHQ7ESJB","target":"record","payload":{"canonical_record":{"source":{"id":"1105.3660","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-05-18T15:18:08Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"b886be7d732dcdd86b16b09790ce9359256217af1440d27ad0ef9c0be7f3fd8f","abstract_canon_sha256":"93acd6ec0250918e38adad4fbfdb0c316846b29dc8473b739b8466c59fe62554"},"schema_version":"1.0"},"canonical_sha256":"17411a15620474040344b254787c924841243fce3d789cbc12cfe2bdb8ddfe65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:11.323354Z","signature_b64":"N5rJPwQdsohgt7iEu3kObihi2uicq36MEizO9EqR4LT66Y3/ZYStZzRmxhw97pCArwUXQY0g6V87dqk8/98cDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17411a15620474040344b254787c924841243fce3d789cbc12cfe2bdb8ddfe65","last_reissued_at":"2026-05-18T01:26:11.322824Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:11.322824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.3660","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":"2026-05-18T01:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mqYxVUnFsPANtZLXzJc4GHHEYII8kaT/3+r8Gy5SHJWiO8AeaAoP0t/N9o2yWc6/m+fTcyez1MSxSs0mxT96DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:39:31.621079Z"},"content_sha256":"bc667f634724c270e4f61dea3d655f62d0c12381118bf8d39769cebfd11eabae","schema_version":"1.0","event_id":"sha256:bc667f634724c270e4f61dea3d655f62d0c12381118bf8d39769cebfd11eabae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:C5ARUFLCAR2AIA2EWJKHQ7ESJB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A stability analysis of a real space split operator method for the Klein-Gordon equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.comp-ph","authors_text":"Frederick Blumenthal, Heiko Bauke","submitted_at":"2011-05-18T15:18:08Z","abstract_excerpt":"We carry out a stability analysis for the real space split operator method for the propagation of the time-dependent Klein-Gordon equation that has been proposed Ruf et al. [M. Ruf, H. Bauke, C.H. Keitel, A real space split operator method for the Klein-Gordon equation, Journal of Computational Physics 228 (24) (2009) 9092-9106, doi:10.1016/j.jcp.2009.09.012]. The region of algebraic stability is determined analytically by means of a von-Neumann stability analysis for systems with homogeneous scalar and vector potentials. Algebraic stability implies convergence ofthe real space split operator "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3660","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":""},"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":"2026-05-18T01:26:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eSqNQBdYnYQk4RDhjGz2hGmjyvmeJzmMLhCDUa1tElvC2Bg/TTUtqZx6wuGCAwGBEvnnS0N8aWz3w1t0wET0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:39:31.621462Z"},"content_sha256":"256027de5ab30a37d229c328ef4b424bc4b65c1089b6ad124fda251bcc9aafbd","schema_version":"1.0","event_id":"sha256:256027de5ab30a37d229c328ef4b424bc4b65c1089b6ad124fda251bcc9aafbd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C5ARUFLCAR2AIA2EWJKHQ7ESJB/bundle.json","state_url":"https://pith.science/pith/C5ARUFLCAR2AIA2EWJKHQ7ESJB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C5ARUFLCAR2AIA2EWJKHQ7ESJB/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":"2026-05-27T17:39:31Z","links":{"resolver":"https://pith.science/pith/C5ARUFLCAR2AIA2EWJKHQ7ESJB","bundle":"https://pith.science/pith/C5ARUFLCAR2AIA2EWJKHQ7ESJB/bundle.json","state":"https://pith.science/pith/C5ARUFLCAR2AIA2EWJKHQ7ESJB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C5ARUFLCAR2AIA2EWJKHQ7ESJB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:C5ARUFLCAR2AIA2EWJKHQ7ESJB","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":"93acd6ec0250918e38adad4fbfdb0c316846b29dc8473b739b8466c59fe62554","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-05-18T15:18:08Z","title_canon_sha256":"b886be7d732dcdd86b16b09790ce9359256217af1440d27ad0ef9c0be7f3fd8f"},"schema_version":"1.0","source":{"id":"1105.3660","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3660","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3660v2","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3660","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"C5ARUFLCAR2A","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C5ARUFLCAR2AIA2E","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C5ARUFLC","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:256027de5ab30a37d229c328ef4b424bc4b65c1089b6ad124fda251bcc9aafbd","target":"graph","created_at":"2026-05-18T01:26:11Z","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":"We carry out a stability analysis for the real space split operator method for the propagation of the time-dependent Klein-Gordon equation that has been proposed Ruf et al. [M. Ruf, H. Bauke, C.H. Keitel, A real space split operator method for the Klein-Gordon equation, Journal of Computational Physics 228 (24) (2009) 9092-9106, doi:10.1016/j.jcp.2009.09.012]. The region of algebraic stability is determined analytically by means of a von-Neumann stability analysis for systems with homogeneous scalar and vector potentials. Algebraic stability implies convergence ofthe real space split operator ","authors_text":"Frederick Blumenthal, Heiko Bauke","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-05-18T15:18:08Z","title":"A stability analysis of a real space split operator method for the Klein-Gordon equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3660","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:bc667f634724c270e4f61dea3d655f62d0c12381118bf8d39769cebfd11eabae","target":"record","created_at":"2026-05-18T01:26:11Z","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":"93acd6ec0250918e38adad4fbfdb0c316846b29dc8473b739b8466c59fe62554","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-05-18T15:18:08Z","title_canon_sha256":"b886be7d732dcdd86b16b09790ce9359256217af1440d27ad0ef9c0be7f3fd8f"},"schema_version":"1.0","source":{"id":"1105.3660","kind":"arxiv","version":2}},"canonical_sha256":"17411a15620474040344b254787c924841243fce3d789cbc12cfe2bdb8ddfe65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17411a15620474040344b254787c924841243fce3d789cbc12cfe2bdb8ddfe65","first_computed_at":"2026-05-18T01:26:11.322824Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:11.322824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N5rJPwQdsohgt7iEu3kObihi2uicq36MEizO9EqR4LT66Y3/ZYStZzRmxhw97pCArwUXQY0g6V87dqk8/98cDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:11.323354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3660","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc667f634724c270e4f61dea3d655f62d0c12381118bf8d39769cebfd11eabae","sha256:256027de5ab30a37d229c328ef4b424bc4b65c1089b6ad124fda251bcc9aafbd"],"state_sha256":"f0a1b33738f856bc8d8c63eea39be3d59877a1787a58f2a1d3a10f1077ea94ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R8bxcgDHkZXncYmrMJQtxvhHZq4WOZwbIdqcGD9eKowFxq2FqtMTkHDUjZPZCpnf1VopqApUeWRjUi1WJkNjAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:39:31.623749Z","bundle_sha256":"338dc7f0c64031ca30917391fe50dcbdbfb4e1fe094d99812824b90e1b702922"}}