{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:R3G725MZO7U7BV2UEIPQT2ZYOX","short_pith_number":"pith:R3G725MZ","canonical_record":{"source":{"id":"physics/0703188","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.acc-ph","submitted_at":"2007-03-19T12:32:24Z","cross_cats_sorted":[],"title_canon_sha256":"d351806c5f0a8749d5242b7c163cb7842366ff006e517fad7e5b50987561cf94","abstract_canon_sha256":"01dcc2fbdf6479e2c66304d66822c0e49d36440523a27302476634e6f767d601"},"schema_version":"1.0"},"canonical_sha256":"8ecdfd759977e9f0d754221f09eb3875cc6b5cd215f3bdc8bd3ede7bb0f4dc1a","source":{"kind":"arxiv","id":"physics/0703188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0703188","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0703188v1","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0703188","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"R3G725MZO7U7","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"R3G725MZO7U7BV2U","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"R3G725MZ","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:R3G725MZO7U7BV2UEIPQT2ZYOX","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0703188","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.acc-ph","submitted_at":"2007-03-19T12:32:24Z","cross_cats_sorted":[],"title_canon_sha256":"d351806c5f0a8749d5242b7c163cb7842366ff006e517fad7e5b50987561cf94","abstract_canon_sha256":"01dcc2fbdf6479e2c66304d66822c0e49d36440523a27302476634e6f767d601"},"schema_version":"1.0"},"canonical_sha256":"8ecdfd759977e9f0d754221f09eb3875cc6b5cd215f3bdc8bd3ede7bb0f4dc1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:37.500929Z","signature_b64":"qv4Kq2alGqr9IGJ4OzyqeNk1sPCb8BpPfzmVmrdPLexEG4MASkIDvEB4cM69cRj/2S27HWFNxiDD6NKtVhxiCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ecdfd759977e9f0d754221f09eb3875cc6b5cd215f3bdc8bd3ede7bb0f4dc1a","last_reissued_at":"2026-05-18T04:38:37.500233Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:37.500233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0703188","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":"2026-05-18T04:38:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tsFYij05DYG53KtLnzykCUicNGdJo3MManE/pIKwcTz7UDRqJtm2W/lQXVhkzIp7JAqM16Dcm8gwP7fPNaxpBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:32:26.207938Z"},"content_sha256":"c230377b52169ce905f73ab1c7c87c158e84b8cb3fd71feca6117c7920feaf9b","schema_version":"1.0","event_id":"sha256:c230377b52169ce905f73ab1c7c87c158e84b8cb3fd71feca6117c7920feaf9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:R3G725MZO7U7BV2UEIPQT2ZYOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Impedance Calculations of Non-Axisymmetric Transitions Using the Optical Approximation","license":"","headline":"","cross_cats":[],"primary_cat":"physics.acc-ph","authors_text":"G. Stupakov, I. Zagorodnov, K.L.F. Bane","submitted_at":"2007-03-19T12:32:24Z","abstract_excerpt":"In a companion report, we have derived a method for finding the impedance at high frequencies of vacuum chamber transitions that are short compared to the catch-up distance, in a frequency regime that (in analogy to geometric optics for light) we call the optical regime. In this report we apply the method to various non-axisymmetric geometries such as irises/short collimators in a beam pipe, step-in transitions, step-out transitions, and more complicated transitions of practical importance. Most of our results are analytical, with a few given in terms of a simple one dimensional integral. Our "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0703188","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":"2026-05-18T04:38:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h22nbZnRW+AdfIvXthZVl7THPkJLW8eLqahaJwg0AxlKjmPBotdig6+bNPH/LweMqjOeNbMxBzEW5ESXcxsKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:32:26.208289Z"},"content_sha256":"43910b60a15c5ffa8127f4c3e05853c51c6df8c0c2e42923ca255d65e2ea47a8","schema_version":"1.0","event_id":"sha256:43910b60a15c5ffa8127f4c3e05853c51c6df8c0c2e42923ca255d65e2ea47a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R3G725MZO7U7BV2UEIPQT2ZYOX/bundle.json","state_url":"https://pith.science/pith/R3G725MZO7U7BV2UEIPQT2ZYOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R3G725MZO7U7BV2UEIPQT2ZYOX/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":"2026-06-02T00:32:26Z","links":{"resolver":"https://pith.science/pith/R3G725MZO7U7BV2UEIPQT2ZYOX","bundle":"https://pith.science/pith/R3G725MZO7U7BV2UEIPQT2ZYOX/bundle.json","state":"https://pith.science/pith/R3G725MZO7U7BV2UEIPQT2ZYOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R3G725MZO7U7BV2UEIPQT2ZYOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:R3G725MZO7U7BV2UEIPQT2ZYOX","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":"01dcc2fbdf6479e2c66304d66822c0e49d36440523a27302476634e6f767d601","cross_cats_sorted":[],"license":"","primary_cat":"physics.acc-ph","submitted_at":"2007-03-19T12:32:24Z","title_canon_sha256":"d351806c5f0a8749d5242b7c163cb7842366ff006e517fad7e5b50987561cf94"},"schema_version":"1.0","source":{"id":"physics/0703188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0703188","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0703188v1","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0703188","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"R3G725MZO7U7","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"R3G725MZO7U7BV2U","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"R3G725MZ","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:43910b60a15c5ffa8127f4c3e05853c51c6df8c0c2e42923ca255d65e2ea47a8","target":"graph","created_at":"2026-05-18T04:38:37Z","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 a companion report, we have derived a method for finding the impedance at high frequencies of vacuum chamber transitions that are short compared to the catch-up distance, in a frequency regime that (in analogy to geometric optics for light) we call the optical regime. In this report we apply the method to various non-axisymmetric geometries such as irises/short collimators in a beam pipe, step-in transitions, step-out transitions, and more complicated transitions of practical importance. Most of our results are analytical, with a few given in terms of a simple one dimensional integral. Our ","authors_text":"G. Stupakov, I. Zagorodnov, K.L.F. Bane","cross_cats":[],"headline":"","license":"","primary_cat":"physics.acc-ph","submitted_at":"2007-03-19T12:32:24Z","title":"Impedance Calculations of Non-Axisymmetric Transitions Using the Optical Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0703188","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:c230377b52169ce905f73ab1c7c87c158e84b8cb3fd71feca6117c7920feaf9b","target":"record","created_at":"2026-05-18T04:38:37Z","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":"01dcc2fbdf6479e2c66304d66822c0e49d36440523a27302476634e6f767d601","cross_cats_sorted":[],"license":"","primary_cat":"physics.acc-ph","submitted_at":"2007-03-19T12:32:24Z","title_canon_sha256":"d351806c5f0a8749d5242b7c163cb7842366ff006e517fad7e5b50987561cf94"},"schema_version":"1.0","source":{"id":"physics/0703188","kind":"arxiv","version":1}},"canonical_sha256":"8ecdfd759977e9f0d754221f09eb3875cc6b5cd215f3bdc8bd3ede7bb0f4dc1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ecdfd759977e9f0d754221f09eb3875cc6b5cd215f3bdc8bd3ede7bb0f4dc1a","first_computed_at":"2026-05-18T04:38:37.500233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:37.500233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qv4Kq2alGqr9IGJ4OzyqeNk1sPCb8BpPfzmVmrdPLexEG4MASkIDvEB4cM69cRj/2S27HWFNxiDD6NKtVhxiCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:37.500929Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0703188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c230377b52169ce905f73ab1c7c87c158e84b8cb3fd71feca6117c7920feaf9b","sha256:43910b60a15c5ffa8127f4c3e05853c51c6df8c0c2e42923ca255d65e2ea47a8"],"state_sha256":"7bfd71bf35d489ee0f5bd5aa2053b72c20b62bf72fd4c38ee10f2c44a8a83839"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/RDZOyjGDu8C4cFl50DdCMwgQ+4in9jqrwHFtAQIMoK2HOG79b7eVGIeK3RA+p+lDr+c2yPo3O9v/LnKN2TJBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:32:26.210493Z","bundle_sha256":"c3bfc9ab94b217380fbabe17828190682b81e9cf3629878301a91b1c9d1febd4"}}