{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IIHNBLWBHZ2SIWA6HHKDF2AYNH","short_pith_number":"pith:IIHNBLWB","canonical_record":{"source":{"id":"1306.3201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-06-13T19:20:59Z","cross_cats_sorted":[],"title_canon_sha256":"71705820ea2387b17d6dc31c8bc1180e63c77de7117ec25db37e773c6e404ec6","abstract_canon_sha256":"388ffd53882897d63eb613a127858085fec20278978975348975281ce7f40145"},"schema_version":"1.0"},"canonical_sha256":"420ed0aec13e7524581e39d432e81869e84d40b2fd4c1e19243ed36903808050","source":{"kind":"arxiv","id":"1306.3201","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3201","created_at":"2026-05-18T03:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3201v1","created_at":"2026-05-18T03:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3201","created_at":"2026-05-18T03:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"IIHNBLWBHZ2S","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IIHNBLWBHZ2SIWA6","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IIHNBLWB","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IIHNBLWBHZ2SIWA6HHKDF2AYNH","target":"record","payload":{"canonical_record":{"source":{"id":"1306.3201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-06-13T19:20:59Z","cross_cats_sorted":[],"title_canon_sha256":"71705820ea2387b17d6dc31c8bc1180e63c77de7117ec25db37e773c6e404ec6","abstract_canon_sha256":"388ffd53882897d63eb613a127858085fec20278978975348975281ce7f40145"},"schema_version":"1.0"},"canonical_sha256":"420ed0aec13e7524581e39d432e81869e84d40b2fd4c1e19243ed36903808050","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:59.352911Z","signature_b64":"kNKTHTvAfykvQk+68d4emNjB8T/T38GdX+/mkngyyQwh5DxYoCVYOZl4EL66Y4genJMVeQNPCuoXZWm1KkgABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"420ed0aec13e7524581e39d432e81869e84d40b2fd4c1e19243ed36903808050","last_reissued_at":"2026-05-18T03:20:59.352194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:59.352194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.3201","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":"2026-05-18T03:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E/w1Ea51XPWP1Fv0L/SrY2PnFrnPhPIvPzUvo1lTWaYGOHt+QXqSktMkmJKJUjIIpMG5QVmAxQ3rK/PiOsRZCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:40:37.644491Z"},"content_sha256":"1201ecc60f8c6ff4e7bcf917b2df7322824263aad1d3e3d28b920e595596da0a","schema_version":"1.0","event_id":"sha256:1201ecc60f8c6ff4e7bcf917b2df7322824263aad1d3e3d28b920e595596da0a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IIHNBLWBHZ2SIWA6HHKDF2AYNH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spatiospectral concentration of vector fields on a sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Alain Plattner, Frederik J. Simons","submitted_at":"2013-06-13T19:20:59Z","abstract_excerpt":"We construct spherical vector bases that are bandlimited and spatially concentrated, or, alternatively, spacelimited and spectrally concentrated, suitable for the analysis and representation of real-valued vector fields on the surface of the unit sphere, as arises in the natural and biomedical sciences, and engineering. Building on the original approach of Slepian, Landau, and Pollak we concentrate the energy of our function bases into arbitrarily shaped regions of interest on the sphere, and within certain bandlimits in the vector spherical-harmonic domain. As with the concentration problem f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3201","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":"2026-05-18T03:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0jmvAb86RcnSmbDSI+M0LCFdvQbJIMEPbp1+3m7TZ5w5V39BhBtLlnI0WjPvkn7eB2O8OJeJ7POnEW/IGkEiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:40:37.645085Z"},"content_sha256":"f19a6eb28b36781616530cee29a2e30332e3f497b520ad5f1b22d868d7b11b69","schema_version":"1.0","event_id":"sha256:f19a6eb28b36781616530cee29a2e30332e3f497b520ad5f1b22d868d7b11b69"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IIHNBLWBHZ2SIWA6HHKDF2AYNH/bundle.json","state_url":"https://pith.science/pith/IIHNBLWBHZ2SIWA6HHKDF2AYNH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IIHNBLWBHZ2SIWA6HHKDF2AYNH/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":"2026-06-11T11:40:37Z","links":{"resolver":"https://pith.science/pith/IIHNBLWBHZ2SIWA6HHKDF2AYNH","bundle":"https://pith.science/pith/IIHNBLWBHZ2SIWA6HHKDF2AYNH/bundle.json","state":"https://pith.science/pith/IIHNBLWBHZ2SIWA6HHKDF2AYNH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IIHNBLWBHZ2SIWA6HHKDF2AYNH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IIHNBLWBHZ2SIWA6HHKDF2AYNH","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":"388ffd53882897d63eb613a127858085fec20278978975348975281ce7f40145","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-06-13T19:20:59Z","title_canon_sha256":"71705820ea2387b17d6dc31c8bc1180e63c77de7117ec25db37e773c6e404ec6"},"schema_version":"1.0","source":{"id":"1306.3201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3201","created_at":"2026-05-18T03:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3201v1","created_at":"2026-05-18T03:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3201","created_at":"2026-05-18T03:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"IIHNBLWBHZ2S","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IIHNBLWBHZ2SIWA6","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IIHNBLWB","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:f19a6eb28b36781616530cee29a2e30332e3f497b520ad5f1b22d868d7b11b69","target":"graph","created_at":"2026-05-18T03:20:59Z","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"},"paper":{"abstract_excerpt":"We construct spherical vector bases that are bandlimited and spatially concentrated, or, alternatively, spacelimited and spectrally concentrated, suitable for the analysis and representation of real-valued vector fields on the surface of the unit sphere, as arises in the natural and biomedical sciences, and engineering. Building on the original approach of Slepian, Landau, and Pollak we concentrate the energy of our function bases into arbitrarily shaped regions of interest on the sphere, and within certain bandlimits in the vector spherical-harmonic domain. As with the concentration problem f","authors_text":"Alain Plattner, Frederik J. Simons","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-06-13T19:20:59Z","title":"Spatiospectral concentration of vector fields on a sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3201","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":"sha256:1201ecc60f8c6ff4e7bcf917b2df7322824263aad1d3e3d28b920e595596da0a","target":"record","created_at":"2026-05-18T03:20:59Z","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":"388ffd53882897d63eb613a127858085fec20278978975348975281ce7f40145","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-06-13T19:20:59Z","title_canon_sha256":"71705820ea2387b17d6dc31c8bc1180e63c77de7117ec25db37e773c6e404ec6"},"schema_version":"1.0","source":{"id":"1306.3201","kind":"arxiv","version":1}},"canonical_sha256":"420ed0aec13e7524581e39d432e81869e84d40b2fd4c1e19243ed36903808050","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"420ed0aec13e7524581e39d432e81869e84d40b2fd4c1e19243ed36903808050","first_computed_at":"2026-05-18T03:20:59.352194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:59.352194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kNKTHTvAfykvQk+68d4emNjB8T/T38GdX+/mkngyyQwh5DxYoCVYOZl4EL66Y4genJMVeQNPCuoXZWm1KkgABg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:59.352911Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.3201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1201ecc60f8c6ff4e7bcf917b2df7322824263aad1d3e3d28b920e595596da0a","sha256:f19a6eb28b36781616530cee29a2e30332e3f497b520ad5f1b22d868d7b11b69"],"state_sha256":"346b3d3329a8128801e562666850d734ec57c61098b6412f7b60b7ef69abc987"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o1YDXNnquGkliM9zo2ocGXN9M/KZN+0hlZxn/FB6nSKFZrQQjPC7Mro0mwAsm3vJYzFOqUe4UPreOo88GSeVAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T11:40:37.648158Z","bundle_sha256":"3a2cda57d54f785d664d667858cd45c501d350a4fd9fdb3230f9b482ec08f16e"}}