{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:R2SBMRSD5D6L52MTSNJT22I7GR","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":"f7d2574dcf9f8434fdebce5bf7e5a7dfcce571f90fa9d01904d917389639c66b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2013-01-08T23:42:35Z","title_canon_sha256":"f7cd8ef158f1422b9fb58823bce303951edb1924447e8e9d9f9e65419ef53248"},"schema_version":"1.0","source":{"id":"1301.1721","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1721","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1721v1","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1721","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"pith_short_12","alias_value":"R2SBMRSD5D6L","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"R2SBMRSD5D6L52MT","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"R2SBMRSD","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:9abea18ebc1bdf00d955e0535720f3fa54449be3e1fc604b756cddd11b3aa5dc","target":"graph","created_at":"2026-05-18T03:36:56Z","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":"If inter-bunch wake fields are flat, i.e. their variations over a bunch length can be neglected, all coherent modes have the same coupled-bunch structure, provided the bunches can be treated as identical by their inner qualities (train theorem). If a flat feedback is strong enough, the transverse modes are single-bunch, provided the inter-bunch wakes are also flat (damper theorem).","authors_text":"Alexey Burov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2013-01-08T23:42:35Z","title":"Transverse modes for flat inter-bunch wakes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1721","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":"sha256:68b68817ea5e4dd7f05d127e972a80f82447b070286d1be542deddcb619c789d","target":"record","created_at":"2026-05-18T03:36:56Z","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":"f7d2574dcf9f8434fdebce5bf7e5a7dfcce571f90fa9d01904d917389639c66b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.acc-ph","submitted_at":"2013-01-08T23:42:35Z","title_canon_sha256":"f7cd8ef158f1422b9fb58823bce303951edb1924447e8e9d9f9e65419ef53248"},"schema_version":"1.0","source":{"id":"1301.1721","kind":"arxiv","version":1}},"canonical_sha256":"8ea4164643e8fcbee99393533d691f34582c5afefae32a824ef7f00548069aeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ea4164643e8fcbee99393533d691f34582c5afefae32a824ef7f00548069aeb","first_computed_at":"2026-05-18T03:36:56.045400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:56.045400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"msuocAXMVLULwCIrR5V7HvK29ISYEr1s/QNoX8DKIsSr7kklh5AWIH/y6P5fC6dm4pZfRwFxNXryF/61H+1GDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:56.045882Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1721","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68b68817ea5e4dd7f05d127e972a80f82447b070286d1be542deddcb619c789d","sha256:9abea18ebc1bdf00d955e0535720f3fa54449be3e1fc604b756cddd11b3aa5dc"],"state_sha256":"08cc2fef3f294d425297ccd61348653841823bfc27559163b9c7ea66866bddcc"}