{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RMIOHUQXQHSHCOBEJM4MVDTBHK","short_pith_number":"pith:RMIOHUQX","canonical_record":{"source":{"id":"1505.06707","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-05-25T18:11:09Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"406148208cf4c4fab774d8ced06f51e3af21daf8a463e5dd4ba405af6a9a456f","abstract_canon_sha256":"f2bb114a3a4b581968b9bc11f56a092f8146d0ba2e6f0a7829b59ed1ba31de5e"},"schema_version":"1.0"},"canonical_sha256":"8b10e3d21781e47138244b38ca8e613a9478d0ec3d6adee7c83ca77473967711","source":{"kind":"arxiv","id":"1505.06707","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06707","created_at":"2026-05-18T01:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06707v3","created_at":"2026-05-18T01:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06707","created_at":"2026-05-18T01:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"RMIOHUQXQHSH","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RMIOHUQXQHSHCOBE","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RMIOHUQX","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RMIOHUQXQHSHCOBEJM4MVDTBHK","target":"record","payload":{"canonical_record":{"source":{"id":"1505.06707","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-05-25T18:11:09Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"406148208cf4c4fab774d8ced06f51e3af21daf8a463e5dd4ba405af6a9a456f","abstract_canon_sha256":"f2bb114a3a4b581968b9bc11f56a092f8146d0ba2e6f0a7829b59ed1ba31de5e"},"schema_version":"1.0"},"canonical_sha256":"8b10e3d21781e47138244b38ca8e613a9478d0ec3d6adee7c83ca77473967711","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:22.665141Z","signature_b64":"Pk4fRiPjfkMuSCL323tcfWMYNe7Z2mp3mpJlMp8h4EXhUJjJP4Ku8/q02gGouJ+X5pgVpCsH4Pbm6c0DzO+zDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b10e3d21781e47138244b38ca8e613a9478d0ec3d6adee7c83ca77473967711","last_reissued_at":"2026-05-18T01:34:22.664668Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:22.664668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.06707","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NgJnT01jkE01cGq/fYqgJ/Lf2KdjC2lW3pdWny0T52GrUZu0QA+yE6oBSXL0XcP077bTCmiq1ZWSAi0Wqip2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:00:48.112411Z"},"content_sha256":"4184205e93aad0458ec8db280bdf27c2ae7ee39d743fbbe8c89c1fab2936cd94","schema_version":"1.0","event_id":"sha256:4184205e93aad0458ec8db280bdf27c2ae7ee39d743fbbe8c89c1fab2936cd94"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RMIOHUQXQHSHCOBEJM4MVDTBHK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solution of the Schr\\\"odinger equation using exterior complex scaling and fast Fourier transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.atom-ph","authors_text":"Tatiana A. Sergeeva, Vladislav V. Serov","submitted_at":"2015-05-25T18:11:09Z","abstract_excerpt":"The split-operator pseudo-spectral method based on the fast Fourier transform (SO-FFT) is a fast and accurate method for the numerical solution of the time-dependent Schr\\\"odinger-like equations (TDSE). As well as other grid-based approaches, SO-FFT encounters a problem of the unphysical reflection of the wave function from the grid boundaries. Exterior complex scaling (ECS) is an effective method widely applied for the suppression of the unphysical reflection. However, SO-FFT and ECS have not been used together heretofore because of the kinetic energy operator coordinate dependence that appea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06707","kind":"arxiv","version":3},"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":"2026-05-18T01:34:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5qRDLBqtCdIfK+fq5+jt+okn4QPhZN3SSjLA+Nuy+vXiixDmXqEak3YHtu2lR554VVrxzjJYop8fu2JKJTSjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:00:48.112926Z"},"content_sha256":"7170b10e0ae9411bb2a1c23f87be400bf781a7f9d59d36fbfd6788bdebdb4550","schema_version":"1.0","event_id":"sha256:7170b10e0ae9411bb2a1c23f87be400bf781a7f9d59d36fbfd6788bdebdb4550"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RMIOHUQXQHSHCOBEJM4MVDTBHK/bundle.json","state_url":"https://pith.science/pith/RMIOHUQXQHSHCOBEJM4MVDTBHK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RMIOHUQXQHSHCOBEJM4MVDTBHK/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":"2026-06-27T18:00:48Z","links":{"resolver":"https://pith.science/pith/RMIOHUQXQHSHCOBEJM4MVDTBHK","bundle":"https://pith.science/pith/RMIOHUQXQHSHCOBEJM4MVDTBHK/bundle.json","state":"https://pith.science/pith/RMIOHUQXQHSHCOBEJM4MVDTBHK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RMIOHUQXQHSHCOBEJM4MVDTBHK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RMIOHUQXQHSHCOBEJM4MVDTBHK","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":"f2bb114a3a4b581968b9bc11f56a092f8146d0ba2e6f0a7829b59ed1ba31de5e","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-05-25T18:11:09Z","title_canon_sha256":"406148208cf4c4fab774d8ced06f51e3af21daf8a463e5dd4ba405af6a9a456f"},"schema_version":"1.0","source":{"id":"1505.06707","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06707","created_at":"2026-05-18T01:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06707v3","created_at":"2026-05-18T01:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06707","created_at":"2026-05-18T01:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"RMIOHUQXQHSH","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RMIOHUQXQHSHCOBE","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RMIOHUQX","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:7170b10e0ae9411bb2a1c23f87be400bf781a7f9d59d36fbfd6788bdebdb4550","target":"graph","created_at":"2026-05-18T01:34:22Z","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"},"paper":{"abstract_excerpt":"The split-operator pseudo-spectral method based on the fast Fourier transform (SO-FFT) is a fast and accurate method for the numerical solution of the time-dependent Schr\\\"odinger-like equations (TDSE). As well as other grid-based approaches, SO-FFT encounters a problem of the unphysical reflection of the wave function from the grid boundaries. Exterior complex scaling (ECS) is an effective method widely applied for the suppression of the unphysical reflection. However, SO-FFT and ECS have not been used together heretofore because of the kinetic energy operator coordinate dependence that appea","authors_text":"Tatiana A. Sergeeva, Vladislav V. Serov","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-05-25T18:11:09Z","title":"Solution of the Schr\\\"odinger equation using exterior complex scaling and fast Fourier transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06707","kind":"arxiv","version":3},"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":"sha256:4184205e93aad0458ec8db280bdf27c2ae7ee39d743fbbe8c89c1fab2936cd94","target":"record","created_at":"2026-05-18T01:34:22Z","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":"f2bb114a3a4b581968b9bc11f56a092f8146d0ba2e6f0a7829b59ed1ba31de5e","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-05-25T18:11:09Z","title_canon_sha256":"406148208cf4c4fab774d8ced06f51e3af21daf8a463e5dd4ba405af6a9a456f"},"schema_version":"1.0","source":{"id":"1505.06707","kind":"arxiv","version":3}},"canonical_sha256":"8b10e3d21781e47138244b38ca8e613a9478d0ec3d6adee7c83ca77473967711","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b10e3d21781e47138244b38ca8e613a9478d0ec3d6adee7c83ca77473967711","first_computed_at":"2026-05-18T01:34:22.664668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:22.664668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pk4fRiPjfkMuSCL323tcfWMYNe7Z2mp3mpJlMp8h4EXhUJjJP4Ku8/q02gGouJ+X5pgVpCsH4Pbm6c0DzO+zDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:22.665141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06707","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4184205e93aad0458ec8db280bdf27c2ae7ee39d743fbbe8c89c1fab2936cd94","sha256:7170b10e0ae9411bb2a1c23f87be400bf781a7f9d59d36fbfd6788bdebdb4550"],"state_sha256":"1746fb4bfb55a361c39af86eaddadab352c8af4e5f5c25171a1dd2cd8b8ea9c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9UnqoBkGlTAdy3qUE/bq7Z/1AoEarBbmxt3wARFPvoqOCDoro4HkU/YUADRm+GhzDRIFT2klGRV6vlb+3oyXAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T18:00:48.115477Z","bundle_sha256":"9658407c8c9cdb263e09399c0b67f911cb004662deb4ba648cc92674934102d0"}}