{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:K4BJH4SOVMG3YLUQ7FSSWSRYPV","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":"1c576bbd0a9f75a4298e3b41c484ff65b7c80f0cb8c9f270d8ccc2eb9831f5ed","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-07-01T19:08:57Z","title_canon_sha256":"09ff7790dc7cd0c3e0ad4394440b25187c3c88b96e070384114421b0683ebe5e"},"schema_version":"1.0","source":{"id":"2607.01403","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01403","created_at":"2026-07-03T00:16:59Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01403v1","created_at":"2026-07-03T00:16:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01403","created_at":"2026-07-03T00:16:59Z"},{"alias_kind":"pith_short_12","alias_value":"K4BJH4SOVMG3","created_at":"2026-07-03T00:16:59Z"},{"alias_kind":"pith_short_16","alias_value":"K4BJH4SOVMG3YLUQ","created_at":"2026-07-03T00:16:59Z"},{"alias_kind":"pith_short_8","alias_value":"K4BJH4SO","created_at":"2026-07-03T00:16:59Z"}],"graph_snapshots":[{"event_id":"sha256:ad1577577564d04f560570fe54357c8e12db9c4c182be7a8e11de4123fe6ba32","target":"graph","created_at":"2026-07-03T00:16:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.01403/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give an operator-theoretic interpretation of unsteady Kutta selection in trailing-edge acoustic receptivity. The inviscid acoustic--wake problem leaves one outgoing wake amplitude undetermined. We show that, under explicit structural hypotheses, this amplitude is the same scalar obtained from three representations: cancellation of the inverse-square-root edge singularity, Fredholm compatibility of the viscous lower-deck problem, and the residue of the Kutta-normalized transform solution at the downstream wake pole: $\\displaystyle A = -\\frac{C_-^{(0)}}{C_-^{(KH)}} = -\\frac{\\langle \\mathbf F_","authors_text":"Jiguang Yu, Louis Shuo Wang","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-07-01T19:08:57Z","title":"Fredholm--residue selection of the unsteady Kutta amplitude"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01403","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":"sha256:4bbcae0f1b6fd8abb28ce2442b9ef18020fcec51ce9351f859313a849776d202","target":"record","created_at":"2026-07-03T00:16:59Z","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":"1c576bbd0a9f75a4298e3b41c484ff65b7c80f0cb8c9f270d8ccc2eb9831f5ed","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-07-01T19:08:57Z","title_canon_sha256":"09ff7790dc7cd0c3e0ad4394440b25187c3c88b96e070384114421b0683ebe5e"},"schema_version":"1.0","source":{"id":"2607.01403","kind":"arxiv","version":1}},"canonical_sha256":"570293f24eab0dbc2e90f9652b4a387d477f8c099bc35f9ba0e46fff6f4d2014","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"570293f24eab0dbc2e90f9652b4a387d477f8c099bc35f9ba0e46fff6f4d2014","first_computed_at":"2026-07-03T00:16:59.416984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-03T00:16:59.416984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2TKBXPeM6lkebbmLUQjZwMr2vEgmrNmf1ljBr8Lrvy1uXhpg+40zCWJSgmfFp1abTG+GXtjFkX2CyenjcvQQDw==","signature_status":"signed_v1","signed_at":"2026-07-03T00:16:59.417412Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.01403","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bbcae0f1b6fd8abb28ce2442b9ef18020fcec51ce9351f859313a849776d202","sha256:ad1577577564d04f560570fe54357c8e12db9c4c182be7a8e11de4123fe6ba32"],"state_sha256":"8664f9ab80c272b50632dc3816e9c59feb18cd09b77c2e5ce66ab3f41b7a84b8"}