{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MJKNKORHM7AGL2WTHJ75JNGLVO","short_pith_number":"pith:MJKNKORH","schema_version":"1.0","canonical_sha256":"6254d53a2767c065ead33a7fd4b4cbabbc4d7512417e71b4f6532d794146ecf7","source":{"kind":"arxiv","id":"1707.02596","version":2},"attestation_state":"computed","paper":{"title":"Localized Manifold Harmonics for Spectral Shape Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GR","authors_text":"Emanuele Rodol\\`a, Michael M. Bronstein, Simone Melzi, Umberto Castellani","submitted_at":"2017-07-09T16:03:30Z","abstract_excerpt":"The use of Laplacian eigenfunctions is ubiquitous in a wide range of computer graphics and geometry processing applications. In particular, Laplacian eigenbases allow generalizing the classical Fourier analysis to manifolds. A key drawback of such bases is their inherently global nature, as the Laplacian eigenfunctions carry geometric and topological structure of the entire manifold. In this paper, we introduce a new framework for local spectral shape analysis. We show how to efficiently construct localized orthogonal bases by solving an optimization problem that in turn can be posed as the ei"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1707.02596","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2017-07-09T16:03:30Z","cross_cats_sorted":[],"title_canon_sha256":"60faaf66f4c4d55701781bea46eb7e737bceadd31309bcab8847c2fc49518337","abstract_canon_sha256":"3c0bfd8a85b0496bd6bafcdee2a4b952ea2a96fe54ce6feb11140f18b91583d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:30.978242Z","signature_b64":"gcfNj5HxueHZ/o60IMwXiEFhD33L8i/6olvkHxKgGG7A1CENlc3caOaOo4XdI6/2/eLMVDWSlMdMom/Om5UkAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6254d53a2767c065ead33a7fd4b4cbabbc4d7512417e71b4f6532d794146ecf7","last_reissued_at":"2026-05-18T00:31:30.977463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:30.977463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Localized Manifold Harmonics for Spectral Shape Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GR","authors_text":"Emanuele Rodol\\`a, Michael M. Bronstein, Simone Melzi, Umberto Castellani","submitted_at":"2017-07-09T16:03:30Z","abstract_excerpt":"The use of Laplacian eigenfunctions is ubiquitous in a wide range of computer graphics and geometry processing applications. In particular, Laplacian eigenbases allow generalizing the classical Fourier analysis to manifolds. A key drawback of such bases is their inherently global nature, as the Laplacian eigenfunctions carry geometric and topological structure of the entire manifold. In this paper, we introduce a new framework for local spectral shape analysis. We show how to efficiently construct localized orthogonal bases by solving an optimization problem that in turn can be posed as the ei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02596","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1707.02596","created_at":"2026-05-18T00:31:30.977595+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.02596v2","created_at":"2026-05-18T00:31:30.977595+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.02596","created_at":"2026-05-18T00:31:30.977595+00:00"},{"alias_kind":"pith_short_12","alias_value":"MJKNKORHM7AG","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MJKNKORHM7AGL2WT","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MJKNKORH","created_at":"2026-05-18T12:31:31.346846+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MJKNKORHM7AGL2WTHJ75JNGLVO","json":"https://pith.science/pith/MJKNKORHM7AGL2WTHJ75JNGLVO.json","graph_json":"https://pith.science/api/pith-number/MJKNKORHM7AGL2WTHJ75JNGLVO/graph.json","events_json":"https://pith.science/api/pith-number/MJKNKORHM7AGL2WTHJ75JNGLVO/events.json","paper":"https://pith.science/paper/MJKNKORH"},"agent_actions":{"view_html":"https://pith.science/pith/MJKNKORHM7AGL2WTHJ75JNGLVO","download_json":"https://pith.science/pith/MJKNKORHM7AGL2WTHJ75JNGLVO.json","view_paper":"https://pith.science/paper/MJKNKORH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.02596&json=true","fetch_graph":"https://pith.science/api/pith-number/MJKNKORHM7AGL2WTHJ75JNGLVO/graph.json","fetch_events":"https://pith.science/api/pith-number/MJKNKORHM7AGL2WTHJ75JNGLVO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MJKNKORHM7AGL2WTHJ75JNGLVO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MJKNKORHM7AGL2WTHJ75JNGLVO/action/storage_attestation","attest_author":"https://pith.science/pith/MJKNKORHM7AGL2WTHJ75JNGLVO/action/author_attestation","sign_citation":"https://pith.science/pith/MJKNKORHM7AGL2WTHJ75JNGLVO/action/citation_signature","submit_replication":"https://pith.science/pith/MJKNKORHM7AGL2WTHJ75JNGLVO/action/replication_record"}},"created_at":"2026-05-18T00:31:30.977595+00:00","updated_at":"2026-05-18T00:31:30.977595+00:00"}