{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NV4IDODUSYNMUGUB5VEYW2Q7AY","short_pith_number":"pith:NV4IDODU","canonical_record":{"source":{"id":"1505.06475","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-24T20:18:00Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"2340c4bc5c309d6dba8d89e7c8ee193c8affbfb6fc3c9d5f14f38b320daa0f74","abstract_canon_sha256":"48666e4b574375b417f6323e6dab1344fd2953c033b6e6fb249f3012ec1fd11c"},"schema_version":"1.0"},"canonical_sha256":"6d7881b874961aca1a81ed498b6a1f06025bce8ccf15f58055fd8def0c87ef14","source":{"kind":"arxiv","id":"1505.06475","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06475","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06475v3","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06475","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"pith_short_12","alias_value":"NV4IDODUSYNM","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NV4IDODUSYNMUGUB","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NV4IDODU","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NV4IDODUSYNMUGUB5VEYW2Q7AY","target":"record","payload":{"canonical_record":{"source":{"id":"1505.06475","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-24T20:18:00Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"2340c4bc5c309d6dba8d89e7c8ee193c8affbfb6fc3c9d5f14f38b320daa0f74","abstract_canon_sha256":"48666e4b574375b417f6323e6dab1344fd2953c033b6e6fb249f3012ec1fd11c"},"schema_version":"1.0"},"canonical_sha256":"6d7881b874961aca1a81ed498b6a1f06025bce8ccf15f58055fd8def0c87ef14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:57.190938Z","signature_b64":"dYA5yBNgiDTMTNS+P833XIMEOdo+2oa3LeUJxiDU0hpMGbW6XRv8IAu9uWJ6+wVi6ozjmzmuB7zlRI5K0dPVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d7881b874961aca1a81ed498b6a1f06025bce8ccf15f58055fd8def0c87ef14","last_reissued_at":"2026-05-18T01:59:57.190364Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:57.190364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.06475","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hp8tC2bwALkkpaC4OvnwLW3/vChFBejc0ykKbQFPSN7gOvyzWIc+RAWlaq2tWs6PdfWh8L/9J3IZA/yan3YKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:50:35.954498Z"},"content_sha256":"4e4f04b27b9d1342f419a3ec5f03db7e4d966befc2fbb957729420063257471f","schema_version":"1.0","event_id":"sha256:4e4f04b27b9d1342f419a3ec5f03db7e4d966befc2fbb957729420063257471f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NV4IDODUSYNMUGUB5VEYW2Q7AY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Fast and Flexible Algorithm for the Graph-Fused Lasso","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"stat.ML","authors_text":"James G. Scott, Wesley Tansey","submitted_at":"2015-05-24T20:18:00Z","abstract_excerpt":"We propose a new algorithm for solving the graph-fused lasso (GFL), a method for parameter estimation that operates under the assumption that the signal tends to be locally constant over a predefined graph structure. Our key insight is to decompose the graph into a set of trails which can then each be solved efficiently using techniques for the ordinary (1D) fused lasso. We leverage these trails in a proximal algorithm that alternates between closed form primal updates and fast dual trail updates. The resulting techinque is both faster than previous GFL methods and more flexible in the choice "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06475","kind":"arxiv","version":3},"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":"2026-05-18T01:59:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ivLX1F/h6gNvNmdmR/UL/8uCS1BMP7sANVwH0C+Z3VrP+w7UKg87ocQFrft6ACIRg+FubFvAwIY0eoUVDPTDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:50:35.955167Z"},"content_sha256":"f83931207c5fd4fadf7ef5b28f250abf1be9cd6a92dc971893b6cb8da1eb6915","schema_version":"1.0","event_id":"sha256:f83931207c5fd4fadf7ef5b28f250abf1be9cd6a92dc971893b6cb8da1eb6915"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NV4IDODUSYNMUGUB5VEYW2Q7AY/bundle.json","state_url":"https://pith.science/pith/NV4IDODUSYNMUGUB5VEYW2Q7AY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NV4IDODUSYNMUGUB5VEYW2Q7AY/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":"2026-05-27T20:50:35Z","links":{"resolver":"https://pith.science/pith/NV4IDODUSYNMUGUB5VEYW2Q7AY","bundle":"https://pith.science/pith/NV4IDODUSYNMUGUB5VEYW2Q7AY/bundle.json","state":"https://pith.science/pith/NV4IDODUSYNMUGUB5VEYW2Q7AY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NV4IDODUSYNMUGUB5VEYW2Q7AY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NV4IDODUSYNMUGUB5VEYW2Q7AY","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":"48666e4b574375b417f6323e6dab1344fd2953c033b6e6fb249f3012ec1fd11c","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-24T20:18:00Z","title_canon_sha256":"2340c4bc5c309d6dba8d89e7c8ee193c8affbfb6fc3c9d5f14f38b320daa0f74"},"schema_version":"1.0","source":{"id":"1505.06475","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06475","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06475v3","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06475","created_at":"2026-05-18T01:59:57Z"},{"alias_kind":"pith_short_12","alias_value":"NV4IDODUSYNM","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NV4IDODUSYNMUGUB","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NV4IDODU","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:f83931207c5fd4fadf7ef5b28f250abf1be9cd6a92dc971893b6cb8da1eb6915","target":"graph","created_at":"2026-05-18T01:59:57Z","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 propose a new algorithm for solving the graph-fused lasso (GFL), a method for parameter estimation that operates under the assumption that the signal tends to be locally constant over a predefined graph structure. Our key insight is to decompose the graph into a set of trails which can then each be solved efficiently using techniques for the ordinary (1D) fused lasso. We leverage these trails in a proximal algorithm that alternates between closed form primal updates and fast dual trail updates. The resulting techinque is both faster than previous GFL methods and more flexible in the choice ","authors_text":"James G. Scott, Wesley Tansey","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-24T20:18:00Z","title":"A Fast and Flexible Algorithm for the Graph-Fused Lasso"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06475","kind":"arxiv","version":3},"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":"sha256:4e4f04b27b9d1342f419a3ec5f03db7e4d966befc2fbb957729420063257471f","target":"record","created_at":"2026-05-18T01:59:57Z","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":"48666e4b574375b417f6323e6dab1344fd2953c033b6e6fb249f3012ec1fd11c","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-05-24T20:18:00Z","title_canon_sha256":"2340c4bc5c309d6dba8d89e7c8ee193c8affbfb6fc3c9d5f14f38b320daa0f74"},"schema_version":"1.0","source":{"id":"1505.06475","kind":"arxiv","version":3}},"canonical_sha256":"6d7881b874961aca1a81ed498b6a1f06025bce8ccf15f58055fd8def0c87ef14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d7881b874961aca1a81ed498b6a1f06025bce8ccf15f58055fd8def0c87ef14","first_computed_at":"2026-05-18T01:59:57.190364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:57.190364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dYA5yBNgiDTMTNS+P833XIMEOdo+2oa3LeUJxiDU0hpMGbW6XRv8IAu9uWJ6+wVi6ozjmzmuB7zlRI5K0dPVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:57.190938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06475","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e4f04b27b9d1342f419a3ec5f03db7e4d966befc2fbb957729420063257471f","sha256:f83931207c5fd4fadf7ef5b28f250abf1be9cd6a92dc971893b6cb8da1eb6915"],"state_sha256":"90064a42f65756de19f319232882e46e1137293783e61e18a13735982fda2dd2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HHlb4RL8VZzJmBRaHX1jcEI+JZseJyqkYJQZgYxCF+BxfJBCtMBBRUoyIGWOfVWVt7/p0EU5vwudaxbmUfpECg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:50:35.958267Z","bundle_sha256":"c8d9dad04e6c237dda4d901935cae88dfc7c838d063ee78874c8cfcbb3071d48"}}