{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PWSBMD3CF44HWKDRK7YFUAGHFS","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":"8087cdafd09324f78dd2288ef24daeb6160bf40085e71aa1f1d9415fcb7179be","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-02-23T02:32:16Z","title_canon_sha256":"903a07cba18fb0270098580798913a90a54fe5a4ba6c1ef66016e9c4bea3724c"},"schema_version":"1.0","source":{"id":"1802.08366","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.08366","created_at":"2026-07-05T03:02:35Z"},{"alias_kind":"arxiv_version","alias_value":"1802.08366v1","created_at":"2026-07-05T03:02:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.08366","created_at":"2026-07-05T03:02:35Z"},{"alias_kind":"pith_short_12","alias_value":"PWSBMD3CF44H","created_at":"2026-07-05T03:02:35Z"},{"alias_kind":"pith_short_16","alias_value":"PWSBMD3CF44HWKDR","created_at":"2026-07-05T03:02:35Z"},{"alias_kind":"pith_short_8","alias_value":"PWSBMD3C","created_at":"2026-07-05T03:02:35Z"}],"graph_snapshots":[{"event_id":"sha256:8eb977c9c34d65f4c8e7b3c2c9093ecf55ccf8fcf3c543858a8e62228a6458a7","target":"graph","created_at":"2026-07-05T03:02:35Z","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/1802.08366/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct continuously parametrised families of conformally invariant boundary operators on densities. These may also be viewed as conformally covariant boundary operators on functions and generalise to higher orders the first-order conformal Robin operator and an analogous third-order operator of Chang-Qing. Our families include operators of critical order on odd-dimensional boundaries. Combined with the (conformal Laplacian power) GJMS operators, a suitable selection of the boundary operators yields formally self-adjoint elliptic conformal boundary problems. Working on a conformal manifol","authors_text":"A. Rod Gover, Lawrence J. Peterson","cross_cats":["math-ph","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-02-23T02:32:16Z","title":"Conformal boundary operators, T-curvatures, and conformal fractional Laplacians of odd order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.08366","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":"sha256:8200a99ccf2eb3cd8faf421a2ee8131d87575619dae9522c76ae3c7c9b7c1a8e","target":"record","created_at":"2026-07-05T03:02:35Z","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":"8087cdafd09324f78dd2288ef24daeb6160bf40085e71aa1f1d9415fcb7179be","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-02-23T02:32:16Z","title_canon_sha256":"903a07cba18fb0270098580798913a90a54fe5a4ba6c1ef66016e9c4bea3724c"},"schema_version":"1.0","source":{"id":"1802.08366","kind":"arxiv","version":1}},"canonical_sha256":"7da4160f622f387b287157f05a00c72cbf62c86a03d4c62660cb373a621bf077","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7da4160f622f387b287157f05a00c72cbf62c86a03d4c62660cb373a621bf077","first_computed_at":"2026-07-05T03:02:35.751338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:02:35.751338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IPY5TJU4AlkuESJOElCKDMzInZdndonSL2OsvuKvoI7ofEqfPAJeSj3oqSe/639vLP9wqj1tkTZIkPfj7Z3BAw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:02:35.751716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.08366","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8200a99ccf2eb3cd8faf421a2ee8131d87575619dae9522c76ae3c7c9b7c1a8e","sha256:8eb977c9c34d65f4c8e7b3c2c9093ecf55ccf8fcf3c543858a8e62228a6458a7"],"state_sha256":"8a164f44c586872047cfcdf16c8b3f829e270f598380752531babf52c94b2858"}