{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MJKNKORHM7AGL2WTHJ75JNGLVO","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":"3c0bfd8a85b0496bd6bafcdee2a4b952ea2a96fe54ce6feb11140f18b91583d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2017-07-09T16:03:30Z","title_canon_sha256":"60faaf66f4c4d55701781bea46eb7e737bceadd31309bcab8847c2fc49518337"},"schema_version":"1.0","source":{"id":"1707.02596","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.02596","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1707.02596v2","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.02596","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"MJKNKORHM7AG","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MJKNKORHM7AGL2WT","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MJKNKORH","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:d8df8220d30baa20e0c77d2ef627b55a2eb12858f885c3c37bfa754705a35e12","target":"graph","created_at":"2026-05-18T00:31:30Z","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":"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","authors_text":"Emanuele Rodol\\`a, Michael M. Bronstein, Simone Melzi, Umberto Castellani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2017-07-09T16:03:30Z","title":"Localized Manifold Harmonics for Spectral Shape Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02596","kind":"arxiv","version":2},"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":"sha256:651fe2c42007878a4bcbb3e3d9be95c3c8fb27e93312f87d948bc9a3c581dca2","target":"record","created_at":"2026-05-18T00:31:30Z","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":"3c0bfd8a85b0496bd6bafcdee2a4b952ea2a96fe54ce6feb11140f18b91583d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2017-07-09T16:03:30Z","title_canon_sha256":"60faaf66f4c4d55701781bea46eb7e737bceadd31309bcab8847c2fc49518337"},"schema_version":"1.0","source":{"id":"1707.02596","kind":"arxiv","version":2}},"canonical_sha256":"6254d53a2767c065ead33a7fd4b4cbabbc4d7512417e71b4f6532d794146ecf7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6254d53a2767c065ead33a7fd4b4cbabbc4d7512417e71b4f6532d794146ecf7","first_computed_at":"2026-05-18T00:31:30.977463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:30.977463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gcfNj5HxueHZ/o60IMwXiEFhD33L8i/6olvkHxKgGG7A1CENlc3caOaOo4XdI6/2/eLMVDWSlMdMom/Om5UkAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:30.978242Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.02596","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:651fe2c42007878a4bcbb3e3d9be95c3c8fb27e93312f87d948bc9a3c581dca2","sha256:d8df8220d30baa20e0c77d2ef627b55a2eb12858f885c3c37bfa754705a35e12"],"state_sha256":"de482c2185b67c32b322763c43ed3be199927445fbb11d6745f9d5c4b212070e"}