{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:U5UWDI54BQB63EVBZQJLGK7LVU","short_pith_number":"pith:U5UWDI54","canonical_record":{"source":{"id":"1202.4387","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-20T17:14:41Z","cross_cats_sorted":["cs.CG","cs.CV"],"title_canon_sha256":"d8abb3ede093ebb8cf58328bc20e9036eef12a5c8dd1c6dac9e24d2d12b918c3","abstract_canon_sha256":"22d7b6495d7b5822e117e86b8afc1f1cb32f0fdf0c26a8e7be7a09587ce01c7f"},"schema_version":"1.0"},"canonical_sha256":"a76961a3bc0c03ed92a1cc12b32bebad0606d8e9121d136b3a9127f66c444f78","source":{"kind":"arxiv","id":"1202.4387","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4387","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4387v1","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4387","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"U5UWDI54BQB6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U5UWDI54BQB63EVB","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U5UWDI54","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:U5UWDI54BQB63EVBZQJLGK7LVU","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4387","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-20T17:14:41Z","cross_cats_sorted":["cs.CG","cs.CV"],"title_canon_sha256":"d8abb3ede093ebb8cf58328bc20e9036eef12a5c8dd1c6dac9e24d2d12b918c3","abstract_canon_sha256":"22d7b6495d7b5822e117e86b8afc1f1cb32f0fdf0c26a8e7be7a09587ce01c7f"},"schema_version":"1.0"},"canonical_sha256":"a76961a3bc0c03ed92a1cc12b32bebad0606d8e9121d136b3a9127f66c444f78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:51.616564Z","signature_b64":"LYTTXK29kno+VLEUwulK7wVCCzrYpn6MAZRkBhXEt1ArhgA9PI/HSwWBGRUjR6Uaqt/emeGkYjCnwA/46vh6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a76961a3bc0c03ed92a1cc12b32bebad0606d8e9121d136b3a9127f66c444f78","last_reissued_at":"2026-05-18T04:01:51.616089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:51.616089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4387","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":"2026-05-18T04:01:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IFpDsBpT0ssoOkQUPNl+3x/uc7z/P8uSiIhBk8CxmDq3UMMpJFvU/peC3EQ6BGdrcDEkTMySPUId0nZEFc96DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:11:07.866578Z"},"content_sha256":"0f2c524c6e98cfd61043cf3205a24a4e1933f4d0757828f69b83b879cadaf66a","schema_version":"1.0","event_id":"sha256:0f2c524c6e98cfd61043cf3205a24a4e1933f4d0757828f69b83b879cadaf66a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:U5UWDI54BQB63EVBZQJLGK7LVU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Locally Linear Embedding Clustering Algorithm for Natural Imagery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","cs.CV"],"primary_cat":"math.GT","authors_text":"Chris Peterson, Lori Ziegelmeier, Michael Kirby","submitted_at":"2012-02-20T17:14:41Z","abstract_excerpt":"The ability to characterize the color content of natural imagery is an important application of image processing. The pixel by pixel coloring of images may be viewed naturally as points in color space, and the inherent structure and distribution of these points affords a quantization, through clustering, of the color information in the image. In this paper, we present a novel topologically driven clustering algorithm that permits segmentation of the color features in a digital image. The algorithm blends Locally Linear Embedding (LLE) and vector quantization by mapping color information to a l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4387","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":"2026-05-18T04:01:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"slcIApM4Gxlb/8LL3YlIIbMBMCCQUysLxeuqxfZU+LEo8Y/EO1HCRbobq3PUfwRISfVRx1HgttUTOtkwVe5HBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:11:07.867203Z"},"content_sha256":"9009b1caab474e85ad118b9f9143bf87cf163dc2f10b72f63967e217d3dcb2da","schema_version":"1.0","event_id":"sha256:9009b1caab474e85ad118b9f9143bf87cf163dc2f10b72f63967e217d3dcb2da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U5UWDI54BQB63EVBZQJLGK7LVU/bundle.json","state_url":"https://pith.science/pith/U5UWDI54BQB63EVBZQJLGK7LVU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U5UWDI54BQB63EVBZQJLGK7LVU/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":"2026-05-28T04:11:07Z","links":{"resolver":"https://pith.science/pith/U5UWDI54BQB63EVBZQJLGK7LVU","bundle":"https://pith.science/pith/U5UWDI54BQB63EVBZQJLGK7LVU/bundle.json","state":"https://pith.science/pith/U5UWDI54BQB63EVBZQJLGK7LVU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U5UWDI54BQB63EVBZQJLGK7LVU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:U5UWDI54BQB63EVBZQJLGK7LVU","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":"22d7b6495d7b5822e117e86b8afc1f1cb32f0fdf0c26a8e7be7a09587ce01c7f","cross_cats_sorted":["cs.CG","cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-20T17:14:41Z","title_canon_sha256":"d8abb3ede093ebb8cf58328bc20e9036eef12a5c8dd1c6dac9e24d2d12b918c3"},"schema_version":"1.0","source":{"id":"1202.4387","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4387","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4387v1","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4387","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"U5UWDI54BQB6","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U5UWDI54BQB63EVB","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U5UWDI54","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:9009b1caab474e85ad118b9f9143bf87cf163dc2f10b72f63967e217d3dcb2da","target":"graph","created_at":"2026-05-18T04:01:51Z","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 ability to characterize the color content of natural imagery is an important application of image processing. The pixel by pixel coloring of images may be viewed naturally as points in color space, and the inherent structure and distribution of these points affords a quantization, through clustering, of the color information in the image. In this paper, we present a novel topologically driven clustering algorithm that permits segmentation of the color features in a digital image. The algorithm blends Locally Linear Embedding (LLE) and vector quantization by mapping color information to a l","authors_text":"Chris Peterson, Lori Ziegelmeier, Michael Kirby","cross_cats":["cs.CG","cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-20T17:14:41Z","title":"Locally Linear Embedding Clustering Algorithm for Natural Imagery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4387","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":"sha256:0f2c524c6e98cfd61043cf3205a24a4e1933f4d0757828f69b83b879cadaf66a","target":"record","created_at":"2026-05-18T04:01:51Z","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":"22d7b6495d7b5822e117e86b8afc1f1cb32f0fdf0c26a8e7be7a09587ce01c7f","cross_cats_sorted":["cs.CG","cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-20T17:14:41Z","title_canon_sha256":"d8abb3ede093ebb8cf58328bc20e9036eef12a5c8dd1c6dac9e24d2d12b918c3"},"schema_version":"1.0","source":{"id":"1202.4387","kind":"arxiv","version":1}},"canonical_sha256":"a76961a3bc0c03ed92a1cc12b32bebad0606d8e9121d136b3a9127f66c444f78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a76961a3bc0c03ed92a1cc12b32bebad0606d8e9121d136b3a9127f66c444f78","first_computed_at":"2026-05-18T04:01:51.616089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:51.616089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LYTTXK29kno+VLEUwulK7wVCCzrYpn6MAZRkBhXEt1ArhgA9PI/HSwWBGRUjR6Uaqt/emeGkYjCnwA/46vh6Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:51.616564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4387","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f2c524c6e98cfd61043cf3205a24a4e1933f4d0757828f69b83b879cadaf66a","sha256:9009b1caab474e85ad118b9f9143bf87cf163dc2f10b72f63967e217d3dcb2da"],"state_sha256":"9359fa266d125e5e8c3f2954617d26d31e456b87c4b8b8536c3a418dea2eff56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FGN7xJfbE4PxxrqFPxjKUciuFeXaRscmijf/wFweAzbtahUvivrp0D6tnP7zoP5Vn0pOjO9xUrdmxsQgmFEkCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:11:07.870265Z","bundle_sha256":"1d34d914755de6fbe3cbd33ec476769e00d5247318d60382384f12aad8e0ce85"}}