{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:P5YBYZHC2N3WRCSUSDHZLVOFEG","short_pith_number":"pith:P5YBYZHC","canonical_record":{"source":{"id":"1510.00875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ao-ph","submitted_at":"2015-10-03T21:54:01Z","cross_cats_sorted":[],"title_canon_sha256":"08ed8cec575f0f2e9863fcf02dcb9886b798ae5cd24da932f9b9387af0195042","abstract_canon_sha256":"cb16f41d27ba7984da7fe36c367a82925b0c8126fe250017e18095d91138a3f5"},"schema_version":"1.0"},"canonical_sha256":"7f701c64e2d377688a5490cf95d5c521b15d789e620bb5c1af42eb99df8f27de","source":{"kind":"arxiv","id":"1510.00875","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00875","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00875v1","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00875","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"pith_short_12","alias_value":"P5YBYZHC2N3W","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P5YBYZHC2N3WRCSU","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P5YBYZHC","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:P5YBYZHC2N3WRCSUSDHZLVOFEG","target":"record","payload":{"canonical_record":{"source":{"id":"1510.00875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ao-ph","submitted_at":"2015-10-03T21:54:01Z","cross_cats_sorted":[],"title_canon_sha256":"08ed8cec575f0f2e9863fcf02dcb9886b798ae5cd24da932f9b9387af0195042","abstract_canon_sha256":"cb16f41d27ba7984da7fe36c367a82925b0c8126fe250017e18095d91138a3f5"},"schema_version":"1.0"},"canonical_sha256":"7f701c64e2d377688a5490cf95d5c521b15d789e620bb5c1af42eb99df8f27de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:17.727484Z","signature_b64":"fpVrAo6EGY1gb73hXqqlsyi5EuZMgxVk6O8O10moVuOytmIKy0L3YACAn0r4Q+0yiJsqf08i2SuG3i7tOJC1Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f701c64e2d377688a5490cf95d5c521b15d789e620bb5c1af42eb99df8f27de","last_reissued_at":"2026-05-18T01:16:17.726921Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:17.726921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.00875","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":"2026-05-18T01:16:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4JUqZHQNgRKm+DhHd8+IrAlqEt+3s/JlpN5StnrirWQN1OAuZMFLwXrW/H0YCOO6R7z+xyFTxvZUqKZ3QbchBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:47:55.575677Z"},"content_sha256":"2f37b185d43de351dda8aed9e2b6368356b74a5ab504e50234c1877a37095e2a","schema_version":"1.0","event_id":"sha256:2f37b185d43de351dda8aed9e2b6368356b74a5ab504e50234c1877a37095e2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:P5YBYZHC2N3WRCSUSDHZLVOFEG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rossby Wave Green's Functions in an Azimuthal Wind","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.ao-ph","authors_text":"C.T. Duba, G. M. Webb, Q. Hu","submitted_at":"2015-10-03T21:54:01Z","abstract_excerpt":"Green's functions for Rossby waves in an azimuthal wind are obtained, in which the stream-function $\\psi$ depends on $r$, $\\phi$ and $t$, where $r$ is cylindrical radius and $\\phi$ is the azimuthal angle in the $\\beta$-plane relative to the easterly direction, in which the $x$-axis points east and the $y$-axis points north. The Rossby wave Green's function with no wind is obtained using Fourier transform methods, and is related to the previously known Green's function obtained for this case, which has a different but equivalent form to the Green's function obtained in the present paper. We emp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00875","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":"2026-05-18T01:16:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ur0MZoeJgMLssPlOKJ1hxb7T7S7PGFW3XGqn7o/RmqIc0P20U9V8mYXPAkKTOdQ+jb3N+tN1uWuqjjWm+4fkCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:47:55.576220Z"},"content_sha256":"09b5bc3a9f1bddf03866a17bc35a7c8e785fab7fd24756430e28fbd394892622","schema_version":"1.0","event_id":"sha256:09b5bc3a9f1bddf03866a17bc35a7c8e785fab7fd24756430e28fbd394892622"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P5YBYZHC2N3WRCSUSDHZLVOFEG/bundle.json","state_url":"https://pith.science/pith/P5YBYZHC2N3WRCSUSDHZLVOFEG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P5YBYZHC2N3WRCSUSDHZLVOFEG/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":"2026-06-03T07:47:55Z","links":{"resolver":"https://pith.science/pith/P5YBYZHC2N3WRCSUSDHZLVOFEG","bundle":"https://pith.science/pith/P5YBYZHC2N3WRCSUSDHZLVOFEG/bundle.json","state":"https://pith.science/pith/P5YBYZHC2N3WRCSUSDHZLVOFEG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P5YBYZHC2N3WRCSUSDHZLVOFEG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:P5YBYZHC2N3WRCSUSDHZLVOFEG","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":"cb16f41d27ba7984da7fe36c367a82925b0c8126fe250017e18095d91138a3f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ao-ph","submitted_at":"2015-10-03T21:54:01Z","title_canon_sha256":"08ed8cec575f0f2e9863fcf02dcb9886b798ae5cd24da932f9b9387af0195042"},"schema_version":"1.0","source":{"id":"1510.00875","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00875","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00875v1","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00875","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"pith_short_12","alias_value":"P5YBYZHC2N3W","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P5YBYZHC2N3WRCSU","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P5YBYZHC","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:09b5bc3a9f1bddf03866a17bc35a7c8e785fab7fd24756430e28fbd394892622","target":"graph","created_at":"2026-05-18T01:16:17Z","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":"Green's functions for Rossby waves in an azimuthal wind are obtained, in which the stream-function $\\psi$ depends on $r$, $\\phi$ and $t$, where $r$ is cylindrical radius and $\\phi$ is the azimuthal angle in the $\\beta$-plane relative to the easterly direction, in which the $x$-axis points east and the $y$-axis points north. The Rossby wave Green's function with no wind is obtained using Fourier transform methods, and is related to the previously known Green's function obtained for this case, which has a different but equivalent form to the Green's function obtained in the present paper. We emp","authors_text":"C.T. Duba, G. M. Webb, Q. Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ao-ph","submitted_at":"2015-10-03T21:54:01Z","title":"Rossby Wave Green's Functions in an Azimuthal Wind"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00875","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":"sha256:2f37b185d43de351dda8aed9e2b6368356b74a5ab504e50234c1877a37095e2a","target":"record","created_at":"2026-05-18T01:16:17Z","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":"cb16f41d27ba7984da7fe36c367a82925b0c8126fe250017e18095d91138a3f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ao-ph","submitted_at":"2015-10-03T21:54:01Z","title_canon_sha256":"08ed8cec575f0f2e9863fcf02dcb9886b798ae5cd24da932f9b9387af0195042"},"schema_version":"1.0","source":{"id":"1510.00875","kind":"arxiv","version":1}},"canonical_sha256":"7f701c64e2d377688a5490cf95d5c521b15d789e620bb5c1af42eb99df8f27de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f701c64e2d377688a5490cf95d5c521b15d789e620bb5c1af42eb99df8f27de","first_computed_at":"2026-05-18T01:16:17.726921Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:17.726921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fpVrAo6EGY1gb73hXqqlsyi5EuZMgxVk6O8O10moVuOytmIKy0L3YACAn0r4Q+0yiJsqf08i2SuG3i7tOJC1Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:17.727484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.00875","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f37b185d43de351dda8aed9e2b6368356b74a5ab504e50234c1877a37095e2a","sha256:09b5bc3a9f1bddf03866a17bc35a7c8e785fab7fd24756430e28fbd394892622"],"state_sha256":"9cdcc314c7a2dfe215eb8335c9eb4cda0159b24467a018b3731191f49c95b7c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IPArbSxiT7TOXeESDo8Bh6fIaeufmUAFS/UjZlgvCzzysNrJi8OGpQpgDyp8dpVtJxoNLzTt0ozfM0i/3hGcCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T07:47:55.578835Z","bundle_sha256":"7d9c7dd784400c236bfa2bf8d6f50aee6ac2750ecbbd0f4be5cfe4d1a35d39df"}}