{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RLYJ4VODR3PXGBDVXZ7PIMWECL","short_pith_number":"pith:RLYJ4VOD","canonical_record":{"source":{"id":"1212.2931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-12-12T18:59:09Z","cross_cats_sorted":[],"title_canon_sha256":"66c33ca98bb08a2a74e3ce357865f449c726d37a85059dce57d477b94a43cf5c","abstract_canon_sha256":"76d3fcb8cd252f1921fcab1b3f463b2a2de8d3f38e9f3090f4ef14be7e102bad"},"schema_version":"1.0"},"canonical_sha256":"8af09e55c38edf730475be7ef432c412fd79536fe58147881afa7dfd40611843","source":{"kind":"arxiv","id":"1212.2931","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2931","created_at":"2026-05-18T03:38:34Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2931v1","created_at":"2026-05-18T03:38:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2931","created_at":"2026-05-18T03:38:34Z"},{"alias_kind":"pith_short_12","alias_value":"RLYJ4VODR3PX","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RLYJ4VODR3PXGBDV","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RLYJ4VOD","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RLYJ4VODR3PXGBDVXZ7PIMWECL","target":"record","payload":{"canonical_record":{"source":{"id":"1212.2931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-12-12T18:59:09Z","cross_cats_sorted":[],"title_canon_sha256":"66c33ca98bb08a2a74e3ce357865f449c726d37a85059dce57d477b94a43cf5c","abstract_canon_sha256":"76d3fcb8cd252f1921fcab1b3f463b2a2de8d3f38e9f3090f4ef14be7e102bad"},"schema_version":"1.0"},"canonical_sha256":"8af09e55c38edf730475be7ef432c412fd79536fe58147881afa7dfd40611843","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:34.897917Z","signature_b64":"KbWQ3IRS9KodebWqzyDSKY0XkEggHtlXd3vOGv8VnLDtjCGghdyL5sMhYaJ1YCQWdgMl2UKmUrL315Jy5dzwDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8af09e55c38edf730475be7ef432c412fd79536fe58147881afa7dfd40611843","last_reissued_at":"2026-05-18T03:38:34.897294Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:34.897294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.2931","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":"2026-05-18T03:38:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FVKpsCm4Btig92Lh6dEMRrSbWhf3aHvk6sdfEHpbXmCRDZpvC80KLwbGc61ATDeQXOzeurPO5wtac+tfzpItCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:52:20.595102Z"},"content_sha256":"6f02eb5b53fa80c80165af4876c7f903fa4b89786e09a359f13a492e7918ddab","schema_version":"1.0","event_id":"sha256:6f02eb5b53fa80c80165af4876c7f903fa4b89786e09a359f13a492e7918ddab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RLYJ4VODR3PXGBDVXZ7PIMWECL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering theory for Hamiltonians periodic in time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"J. Howland","submitted_at":"2012-12-12T18:59:09Z","abstract_excerpt":"Old paper on the abstract scattering theory (ST) of periodic Hamiltonians. Updating of the references and correction of some minor non-mathematical misprints by H.C. Rosu."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2931","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":"2026-05-18T03:38:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s8mvXKlPgOp6aZ8k0xe52B337xLt79ykN1rGUBgyj8IemWKL4MjCsG7pPeV/7eCvlKKzGHiTIYEV4zEHuD6eDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:52:20.595803Z"},"content_sha256":"790f686005789befb90619a348611c239864112e2a703063cf89cf3101132aec","schema_version":"1.0","event_id":"sha256:790f686005789befb90619a348611c239864112e2a703063cf89cf3101132aec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RLYJ4VODR3PXGBDVXZ7PIMWECL/bundle.json","state_url":"https://pith.science/pith/RLYJ4VODR3PXGBDVXZ7PIMWECL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RLYJ4VODR3PXGBDVXZ7PIMWECL/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":"2026-05-30T07:52:20Z","links":{"resolver":"https://pith.science/pith/RLYJ4VODR3PXGBDVXZ7PIMWECL","bundle":"https://pith.science/pith/RLYJ4VODR3PXGBDVXZ7PIMWECL/bundle.json","state":"https://pith.science/pith/RLYJ4VODR3PXGBDVXZ7PIMWECL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RLYJ4VODR3PXGBDVXZ7PIMWECL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RLYJ4VODR3PXGBDVXZ7PIMWECL","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":"76d3fcb8cd252f1921fcab1b3f463b2a2de8d3f38e9f3090f4ef14be7e102bad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-12-12T18:59:09Z","title_canon_sha256":"66c33ca98bb08a2a74e3ce357865f449c726d37a85059dce57d477b94a43cf5c"},"schema_version":"1.0","source":{"id":"1212.2931","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2931","created_at":"2026-05-18T03:38:34Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2931v1","created_at":"2026-05-18T03:38:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2931","created_at":"2026-05-18T03:38:34Z"},{"alias_kind":"pith_short_12","alias_value":"RLYJ4VODR3PX","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RLYJ4VODR3PXGBDV","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RLYJ4VOD","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:790f686005789befb90619a348611c239864112e2a703063cf89cf3101132aec","target":"graph","created_at":"2026-05-18T03:38:34Z","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":"Old paper on the abstract scattering theory (ST) of periodic Hamiltonians. Updating of the references and correction of some minor non-mathematical misprints by H.C. Rosu.","authors_text":"J. Howland","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-12-12T18:59:09Z","title":"Scattering theory for Hamiltonians periodic in time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2931","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":"sha256:6f02eb5b53fa80c80165af4876c7f903fa4b89786e09a359f13a492e7918ddab","target":"record","created_at":"2026-05-18T03:38:34Z","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":"76d3fcb8cd252f1921fcab1b3f463b2a2de8d3f38e9f3090f4ef14be7e102bad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-12-12T18:59:09Z","title_canon_sha256":"66c33ca98bb08a2a74e3ce357865f449c726d37a85059dce57d477b94a43cf5c"},"schema_version":"1.0","source":{"id":"1212.2931","kind":"arxiv","version":1}},"canonical_sha256":"8af09e55c38edf730475be7ef432c412fd79536fe58147881afa7dfd40611843","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8af09e55c38edf730475be7ef432c412fd79536fe58147881afa7dfd40611843","first_computed_at":"2026-05-18T03:38:34.897294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:34.897294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KbWQ3IRS9KodebWqzyDSKY0XkEggHtlXd3vOGv8VnLDtjCGghdyL5sMhYaJ1YCQWdgMl2UKmUrL315Jy5dzwDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:34.897917Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.2931","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f02eb5b53fa80c80165af4876c7f903fa4b89786e09a359f13a492e7918ddab","sha256:790f686005789befb90619a348611c239864112e2a703063cf89cf3101132aec"],"state_sha256":"b98f45c3dcb24b62ef406e24a9a4e1fe63e251123412bb125890e85ca18362d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vB9WaWmcTtEd2c2D6KBcqq5A/GnXdTE3ETL4vmZ32CxS4f89hFLSf81FUx8nlzplBcciGbh/sHjnHFExqKf1CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:52:20.598923Z","bundle_sha256":"ac7fc8f2ddc6f594a3624156f78ff700b92162c064c3802352ab131a2dffbd9d"}}