{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RPMVTW7OM2W6P43GKUISCD6JBD","short_pith_number":"pith:RPMVTW7O","canonical_record":{"source":{"id":"1706.08122","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-25T15:21:48Z","cross_cats_sorted":[],"title_canon_sha256":"15156198755d558ff81b9ef1ee6081d62734e3e013ac5f835717f38f23465d86","abstract_canon_sha256":"0316ce29e290eea21c515cd124e82865c00fee8e659663cae52ae853dd858d46"},"schema_version":"1.0"},"canonical_sha256":"8bd959dbee66ade7f3665511210fc908e5d99b524cc0baaf2e87c1e46ed658e2","source":{"kind":"arxiv","id":"1706.08122","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08122","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08122v1","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08122","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"RPMVTW7OM2W6","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RPMVTW7OM2W6P43G","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RPMVTW7O","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RPMVTW7OM2W6P43GKUISCD6JBD","target":"record","payload":{"canonical_record":{"source":{"id":"1706.08122","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-25T15:21:48Z","cross_cats_sorted":[],"title_canon_sha256":"15156198755d558ff81b9ef1ee6081d62734e3e013ac5f835717f38f23465d86","abstract_canon_sha256":"0316ce29e290eea21c515cd124e82865c00fee8e659663cae52ae853dd858d46"},"schema_version":"1.0"},"canonical_sha256":"8bd959dbee66ade7f3665511210fc908e5d99b524cc0baaf2e87c1e46ed658e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:43.466351Z","signature_b64":"G47cOVbXAUfbRem+uq7V18rza60+hz/s7lwDkKXRDBEGdiHPQAZpTtA6ZU6wcXENNxT05s1Hrq+6lpFhWw0vAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bd959dbee66ade7f3665511210fc908e5d99b524cc0baaf2e87c1e46ed658e2","last_reissued_at":"2026-05-18T00:41:43.465896Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:43.465896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.08122","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":"2026-05-18T00:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VGEyGhth4lzq7t0sDFN5/QTT1ORYSU2DsbeEV3B7SaytuoNzo+vSwUnfZMAeeGPi1HkY3I0b1diyqwEYt5hgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:44:58.395520Z"},"content_sha256":"9fb5ac6ee2603bed3260ff851ad0b8356449c9dedfda4df428d756901bd4d43a","schema_version":"1.0","event_id":"sha256:9fb5ac6ee2603bed3260ff851ad0b8356449c9dedfda4df428d756901bd4d43a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RPMVTW7OM2W6P43GKUISCD6JBD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Evolution of time-harmonic electromagnetic and acoustic waves along waveguides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andreas Ros\\'en, Medet Nursultanov","submitted_at":"2017-06-25T15:21:48Z","abstract_excerpt":"We study time-harmonic electromagnetic and acoustic waveguides, modeled by an infinite cylinder with a non-smooth cross section. We introduce an infinitesimal generator for the wave evolution along the cylinder, and prove estimates of the functional calculi of these first order non-self adjoint differential operators with non-smooth coefficients. Applying our new functional calculus, we obtain a one-to-one correspondence between polynomially bounded time-harmonic waves and functions in appropriate spectral subspaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08122","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":"2026-05-18T00:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nJDmW6BCIkc0ZeDqksyatKFoCPgpFerHXIZRfGsT6HMMxBEZC9gmQVDXeS1AG0JUaPMOqbjhtoPcrvRs5YrTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:44:58.395895Z"},"content_sha256":"7721880eed5b20672726967f793fd553064991a3e9a54b61a957bddcbcc924d5","schema_version":"1.0","event_id":"sha256:7721880eed5b20672726967f793fd553064991a3e9a54b61a957bddcbcc924d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD/bundle.json","state_url":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RPMVTW7OM2W6P43GKUISCD6JBD/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":"2026-06-24T09:44:58Z","links":{"resolver":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD","bundle":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD/bundle.json","state":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RPMVTW7OM2W6P43GKUISCD6JBD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RPMVTW7OM2W6P43GKUISCD6JBD","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":"0316ce29e290eea21c515cd124e82865c00fee8e659663cae52ae853dd858d46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-25T15:21:48Z","title_canon_sha256":"15156198755d558ff81b9ef1ee6081d62734e3e013ac5f835717f38f23465d86"},"schema_version":"1.0","source":{"id":"1706.08122","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08122","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08122v1","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08122","created_at":"2026-05-18T00:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"RPMVTW7OM2W6","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RPMVTW7OM2W6P43G","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RPMVTW7O","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:7721880eed5b20672726967f793fd553064991a3e9a54b61a957bddcbcc924d5","target":"graph","created_at":"2026-05-18T00:41:43Z","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 study time-harmonic electromagnetic and acoustic waveguides, modeled by an infinite cylinder with a non-smooth cross section. We introduce an infinitesimal generator for the wave evolution along the cylinder, and prove estimates of the functional calculi of these first order non-self adjoint differential operators with non-smooth coefficients. Applying our new functional calculus, we obtain a one-to-one correspondence between polynomially bounded time-harmonic waves and functions in appropriate spectral subspaces.","authors_text":"Andreas Ros\\'en, Medet Nursultanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-25T15:21:48Z","title":"Evolution of time-harmonic electromagnetic and acoustic waves along waveguides"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08122","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":"sha256:9fb5ac6ee2603bed3260ff851ad0b8356449c9dedfda4df428d756901bd4d43a","target":"record","created_at":"2026-05-18T00:41:43Z","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":"0316ce29e290eea21c515cd124e82865c00fee8e659663cae52ae853dd858d46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-25T15:21:48Z","title_canon_sha256":"15156198755d558ff81b9ef1ee6081d62734e3e013ac5f835717f38f23465d86"},"schema_version":"1.0","source":{"id":"1706.08122","kind":"arxiv","version":1}},"canonical_sha256":"8bd959dbee66ade7f3665511210fc908e5d99b524cc0baaf2e87c1e46ed658e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bd959dbee66ade7f3665511210fc908e5d99b524cc0baaf2e87c1e46ed658e2","first_computed_at":"2026-05-18T00:41:43.465896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:43.465896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G47cOVbXAUfbRem+uq7V18rza60+hz/s7lwDkKXRDBEGdiHPQAZpTtA6ZU6wcXENNxT05s1Hrq+6lpFhWw0vAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:43.466351Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08122","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fb5ac6ee2603bed3260ff851ad0b8356449c9dedfda4df428d756901bd4d43a","sha256:7721880eed5b20672726967f793fd553064991a3e9a54b61a957bddcbcc924d5"],"state_sha256":"9b6b94a86dd96ce00d655e3a03d98104ed7bcfc06980bf484202191ffb259524"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zKnbdKlxum4p1MyPZo+FvQ/u67iuILoWxw/0UXOlfuyYkbWzN4My6kZlpkCoqeK67pUzfqPt/fnGLNdkjqGbBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T09:44:58.398063Z","bundle_sha256":"11c7144b33702f46f9d76d0a43e560007a11b81ea22af7190ee91a2cf3679ebd"}}