{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IBEBS7UARPMXYE5BE4UWOCUA6N","short_pith_number":"pith:IBEBS7UA","canonical_record":{"source":{"id":"1604.01497","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-04-06T06:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"90cc3f3ad85f5adfe722d4165ccefa35ef195be798494486d61b7d6ab14beec1","abstract_canon_sha256":"826d52f51cb5d80091a797c9eb9fdd7d33be1dcb104cba1a83120fca567db6d2"},"schema_version":"1.0"},"canonical_sha256":"4048197e808bd97c13a12729670a80f37ba23a8f798ba4c6f6856d2f6cd9db7c","source":{"kind":"arxiv","id":"1604.01497","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01497","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01497v3","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01497","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"pith_short_12","alias_value":"IBEBS7UARPMX","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"pith_short_16","alias_value":"IBEBS7UARPMXYE5B","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"pith_short_8","alias_value":"IBEBS7UA","created_at":"2026-07-05T05:42:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IBEBS7UARPMXYE5BE4UWOCUA6N","target":"record","payload":{"canonical_record":{"source":{"id":"1604.01497","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-04-06T06:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"90cc3f3ad85f5adfe722d4165ccefa35ef195be798494486d61b7d6ab14beec1","abstract_canon_sha256":"826d52f51cb5d80091a797c9eb9fdd7d33be1dcb104cba1a83120fca567db6d2"},"schema_version":"1.0"},"canonical_sha256":"4048197e808bd97c13a12729670a80f37ba23a8f798ba4c6f6856d2f6cd9db7c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:42:45.389016Z","signature_b64":"EKxWWUAAuzJhlfwoO3NpMx7K4zHuABGBQRorxg1mC+HNrgO3UgocxyLXjYKLGk17qCYP/tj0qerS/WQlda/0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4048197e808bd97c13a12729670a80f37ba23a8f798ba4c6f6856d2f6cd9db7c","last_reissued_at":"2026-07-05T05:42:45.388271Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:42:45.388271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.01497","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":"2026-07-05T05:42:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CcG4aQ+Lcu5ybCHuZMDPSL/J8hWo+XCCvNx3GhQubQa/rOqtAoCI8WtpRRt2O2dqGbRS+7Fj65/2F98F/y7rDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:13:04.313960Z"},"content_sha256":"25b487f483546ec4a98471bdb44f8b83311b410cd8fa8426026258dcbf0a81a6","schema_version":"1.0","event_id":"sha256:25b487f483546ec4a98471bdb44f8b83311b410cd8fa8426026258dcbf0a81a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IBEBS7UARPMXYE5BE4UWOCUA6N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How Does the Low-Rank Matrix Decomposition Help Internal and External Learnings for Super-Resolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Bo Yue, Licheng Jiao, Peiyuan Ji, Shuang Wang, Xuefeng Liang","submitted_at":"2016-04-06T06:03:02Z","abstract_excerpt":"Wisely utilizing the internal and external learning methods is a new challenge in super-resolution problem. To address this issue, we analyze the attributes of two methodologies and find two observations of their recovered details: 1) they are complementary in both feature space and image plane, 2) they distribute sparsely in the spatial space. These inspire us to propose a low-rank solution which effectively integrates two learning methods and then achieves a superior result. To fit this solution, the internal learning method and the external learning method are tailored to produce multiple p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01497","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1604.01497/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:42:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wC3TEUsd4dEPzygkbdxGL9pd2zmPhSVuPZRzwSWbIdAqghRV5sP0Plb+zsai3C82REBXtBNthODDqok78dA1Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:13:04.314965Z"},"content_sha256":"8af21d2216e05ed141444c3a453099f1eee7d1a16e00e804e8647890fc3afc97","schema_version":"1.0","event_id":"sha256:8af21d2216e05ed141444c3a453099f1eee7d1a16e00e804e8647890fc3afc97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IBEBS7UARPMXYE5BE4UWOCUA6N/bundle.json","state_url":"https://pith.science/pith/IBEBS7UARPMXYE5BE4UWOCUA6N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IBEBS7UARPMXYE5BE4UWOCUA6N/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":"2026-08-03T16:13:04Z","links":{"resolver":"https://pith.science/pith/IBEBS7UARPMXYE5BE4UWOCUA6N","bundle":"https://pith.science/pith/IBEBS7UARPMXYE5BE4UWOCUA6N/bundle.json","state":"https://pith.science/pith/IBEBS7UARPMXYE5BE4UWOCUA6N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IBEBS7UARPMXYE5BE4UWOCUA6N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IBEBS7UARPMXYE5BE4UWOCUA6N","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":"826d52f51cb5d80091a797c9eb9fdd7d33be1dcb104cba1a83120fca567db6d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-04-06T06:03:02Z","title_canon_sha256":"90cc3f3ad85f5adfe722d4165ccefa35ef195be798494486d61b7d6ab14beec1"},"schema_version":"1.0","source":{"id":"1604.01497","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01497","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01497v3","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01497","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"pith_short_12","alias_value":"IBEBS7UARPMX","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"pith_short_16","alias_value":"IBEBS7UARPMXYE5B","created_at":"2026-07-05T05:42:45Z"},{"alias_kind":"pith_short_8","alias_value":"IBEBS7UA","created_at":"2026-07-05T05:42:45Z"}],"graph_snapshots":[{"event_id":"sha256:8af21d2216e05ed141444c3a453099f1eee7d1a16e00e804e8647890fc3afc97","target":"graph","created_at":"2026-07-05T05:42:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1604.01497/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Wisely utilizing the internal and external learning methods is a new challenge in super-resolution problem. To address this issue, we analyze the attributes of two methodologies and find two observations of their recovered details: 1) they are complementary in both feature space and image plane, 2) they distribute sparsely in the spatial space. These inspire us to propose a low-rank solution which effectively integrates two learning methods and then achieves a superior result. To fit this solution, the internal learning method and the external learning method are tailored to produce multiple p","authors_text":"Bo Yue, Licheng Jiao, Peiyuan Ji, Shuang Wang, Xuefeng Liang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-04-06T06:03:02Z","title":"How Does the Low-Rank Matrix Decomposition Help Internal and External Learnings for Super-Resolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01497","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":"sha256:25b487f483546ec4a98471bdb44f8b83311b410cd8fa8426026258dcbf0a81a6","target":"record","created_at":"2026-07-05T05:42:45Z","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":"826d52f51cb5d80091a797c9eb9fdd7d33be1dcb104cba1a83120fca567db6d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-04-06T06:03:02Z","title_canon_sha256":"90cc3f3ad85f5adfe722d4165ccefa35ef195be798494486d61b7d6ab14beec1"},"schema_version":"1.0","source":{"id":"1604.01497","kind":"arxiv","version":3}},"canonical_sha256":"4048197e808bd97c13a12729670a80f37ba23a8f798ba4c6f6856d2f6cd9db7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4048197e808bd97c13a12729670a80f37ba23a8f798ba4c6f6856d2f6cd9db7c","first_computed_at":"2026-07-05T05:42:45.388271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:42:45.388271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EKxWWUAAuzJhlfwoO3NpMx7K4zHuABGBQRorxg1mC+HNrgO3UgocxyLXjYKLGk17qCYP/tj0qerS/WQlda/0Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:42:45.389016Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.01497","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25b487f483546ec4a98471bdb44f8b83311b410cd8fa8426026258dcbf0a81a6","sha256:8af21d2216e05ed141444c3a453099f1eee7d1a16e00e804e8647890fc3afc97"],"state_sha256":"cffaaf74c65528583235ab698cb5299cba648b5d526dcbe32671f1ebd45c0221"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NlQXZi8gVmnen958K6Lc5rLfZ3cU9CSaWSw6g5xIycUw27Yzph2Eb4O0a/F5YQigHZLzdkJLJpM31Cke1UeDCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:13:04.350138Z","bundle_sha256":"7617937d52083288209587a9df41ce7f5edfc07145cbea50406896106d134d06"}}