{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:W5G77IUSMMRTMFA3YTOADOWQ4W","short_pith_number":"pith:W5G77IUS","canonical_record":{"source":{"id":"1201.4621","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-01-23T02:04:11Z","cross_cats_sorted":["math.DG","physics.comp-ph"],"title_canon_sha256":"2b3b46236c088ecdfda8725c3522b144a51865dc659aa6cd67d3b9530e4cbd80","abstract_canon_sha256":"45980ad628a99ac34594e880c246645a4c8b2a3101b099776c265d2d67bef520"},"schema_version":"1.0"},"canonical_sha256":"b74dffa292632336141bc4dc01bad0e58e334bea8c9f4db6515e16ce0db973e5","source":{"kind":"arxiv","id":"1201.4621","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4621","created_at":"2026-05-18T04:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4621v1","created_at":"2026-05-18T04:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4621","created_at":"2026-05-18T04:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"W5G77IUSMMRT","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"W5G77IUSMMRTMFA3","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"W5G77IUS","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:W5G77IUSMMRTMFA3YTOADOWQ4W","target":"record","payload":{"canonical_record":{"source":{"id":"1201.4621","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-01-23T02:04:11Z","cross_cats_sorted":["math.DG","physics.comp-ph"],"title_canon_sha256":"2b3b46236c088ecdfda8725c3522b144a51865dc659aa6cd67d3b9530e4cbd80","abstract_canon_sha256":"45980ad628a99ac34594e880c246645a4c8b2a3101b099776c265d2d67bef520"},"schema_version":"1.0"},"canonical_sha256":"b74dffa292632336141bc4dc01bad0e58e334bea8c9f4db6515e16ce0db973e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:05.590781Z","signature_b64":"6KCcNgRu7g7A5aBYvi+tZI2L963mp91JEaSmEW7SZbBFzKGnUS+LYcxDotXIWTK9gZmqlad77pgeFfGEj776CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b74dffa292632336141bc4dc01bad0e58e334bea8c9f4db6515e16ce0db973e5","last_reissued_at":"2026-05-18T04:04:05.590209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:05.590209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.4621","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":"2026-05-18T04:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aVjmLQeh1Ofl9wWUIfU7PKwJI/z1+lIl+RRK6BDF9PXuoxygiLPqUfiyJqdoWxfVgi8eDuTltbuuYOBrU+p4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:05:09.195721Z"},"content_sha256":"e12dfa69ba511b345dd7281e8c2345e5407ffe0a8418bf5dc1dd8e9d78ce34ad","schema_version":"1.0","event_id":"sha256:e12dfa69ba511b345dd7281e8c2345e5407ffe0a8418bf5dc1dd8e9d78ce34ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:W5G77IUSMMRTMFA3YTOADOWQ4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The sound of an evolving floating sculpture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Benjamin Seibold, Yossi Farjoun","submitted_at":"2012-01-23T02:04:11Z","abstract_excerpt":"Commissioned by MIT's in-house artist Jane Philbrick, we evolve an abstract 2D surface (resembling Marta Pan's 1961 \"Sculpture Flottante I\") under mean curvature, all the while calculating the eigenmodes and eigenvalues of the Laplace-Beltrami operator on the resulting shapes. These are then synthesized into a sound-wave embodying the \"swan song\" of the surfaces as the evolve to points and vanish. The surface is approximated by a triangulation, and we present a robust approach to approximate the normal directions and the mean curvature. The resulting video and sound-track were parts in the Jan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4621","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":"2026-05-18T04:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2fGX+Qvwck8YkbzjUG10b1kASbYVM549miTGWiYBDXeIUM5wEm1mbeo1O2i9ZRPeRV+dp6KOUjhI/wPLf5VUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:05:09.196066Z"},"content_sha256":"34a8b1b391826c315b1e4378c3bd596dd4e487a56dcb53aa3f65fc5ef75291e3","schema_version":"1.0","event_id":"sha256:34a8b1b391826c315b1e4378c3bd596dd4e487a56dcb53aa3f65fc5ef75291e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W5G77IUSMMRTMFA3YTOADOWQ4W/bundle.json","state_url":"https://pith.science/pith/W5G77IUSMMRTMFA3YTOADOWQ4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W5G77IUSMMRTMFA3YTOADOWQ4W/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":"2026-06-23T19:05:09Z","links":{"resolver":"https://pith.science/pith/W5G77IUSMMRTMFA3YTOADOWQ4W","bundle":"https://pith.science/pith/W5G77IUSMMRTMFA3YTOADOWQ4W/bundle.json","state":"https://pith.science/pith/W5G77IUSMMRTMFA3YTOADOWQ4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W5G77IUSMMRTMFA3YTOADOWQ4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:W5G77IUSMMRTMFA3YTOADOWQ4W","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":"45980ad628a99ac34594e880c246645a4c8b2a3101b099776c265d2d67bef520","cross_cats_sorted":["math.DG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-01-23T02:04:11Z","title_canon_sha256":"2b3b46236c088ecdfda8725c3522b144a51865dc659aa6cd67d3b9530e4cbd80"},"schema_version":"1.0","source":{"id":"1201.4621","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4621","created_at":"2026-05-18T04:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4621v1","created_at":"2026-05-18T04:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4621","created_at":"2026-05-18T04:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"W5G77IUSMMRT","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"W5G77IUSMMRTMFA3","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"W5G77IUS","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:34a8b1b391826c315b1e4378c3bd596dd4e487a56dcb53aa3f65fc5ef75291e3","target":"graph","created_at":"2026-05-18T04:04:05Z","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":"Commissioned by MIT's in-house artist Jane Philbrick, we evolve an abstract 2D surface (resembling Marta Pan's 1961 \"Sculpture Flottante I\") under mean curvature, all the while calculating the eigenmodes and eigenvalues of the Laplace-Beltrami operator on the resulting shapes. These are then synthesized into a sound-wave embodying the \"swan song\" of the surfaces as the evolve to points and vanish. The surface is approximated by a triangulation, and we present a robust approach to approximate the normal directions and the mean curvature. The resulting video and sound-track were parts in the Jan","authors_text":"Benjamin Seibold, Yossi Farjoun","cross_cats":["math.DG","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-01-23T02:04:11Z","title":"The sound of an evolving floating sculpture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4621","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:e12dfa69ba511b345dd7281e8c2345e5407ffe0a8418bf5dc1dd8e9d78ce34ad","target":"record","created_at":"2026-05-18T04:04:05Z","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":"45980ad628a99ac34594e880c246645a4c8b2a3101b099776c265d2d67bef520","cross_cats_sorted":["math.DG","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-01-23T02:04:11Z","title_canon_sha256":"2b3b46236c088ecdfda8725c3522b144a51865dc659aa6cd67d3b9530e4cbd80"},"schema_version":"1.0","source":{"id":"1201.4621","kind":"arxiv","version":1}},"canonical_sha256":"b74dffa292632336141bc4dc01bad0e58e334bea8c9f4db6515e16ce0db973e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b74dffa292632336141bc4dc01bad0e58e334bea8c9f4db6515e16ce0db973e5","first_computed_at":"2026-05-18T04:04:05.590209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:05.590209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6KCcNgRu7g7A5aBYvi+tZI2L963mp91JEaSmEW7SZbBFzKGnUS+LYcxDotXIWTK9gZmqlad77pgeFfGEj776CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:05.590781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.4621","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e12dfa69ba511b345dd7281e8c2345e5407ffe0a8418bf5dc1dd8e9d78ce34ad","sha256:34a8b1b391826c315b1e4378c3bd596dd4e487a56dcb53aa3f65fc5ef75291e3"],"state_sha256":"dd77ae2600e8eaefb65e8a86098d4ae76552a1d903ab46ef9b72f64bc8c5f3b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q7FqF9VgCPwN+KmLfAhITf7OnDBTNQLf+33AOwPqWi1tVkkG51uCCzsk7BuHEBMOixIyFwhWMw926eXuCuLGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T19:05:09.198045Z","bundle_sha256":"92e006c1ba7c4b20c4bbc8e9a1547a1c72a482d4ad36eba8fb91bb5cf0849879"}}