{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6P5MCLKXVX5T4B765EBVHBPUFG","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":"61b4ed315395a7062a2e15f71cc2410fa6a49cbe6031369c17e4e04d5b5944cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2026-06-30T20:17:37Z","title_canon_sha256":"180979468e8724065d12f56e520d0e12b00502e5d7114a64cc20ac32ac0357e5"},"schema_version":"1.0","source":{"id":"2607.00138","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00138","created_at":"2026-07-02T00:18:36Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00138v1","created_at":"2026-07-02T00:18:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00138","created_at":"2026-07-02T00:18:36Z"},{"alias_kind":"pith_short_12","alias_value":"6P5MCLKXVX5T","created_at":"2026-07-02T00:18:36Z"},{"alias_kind":"pith_short_16","alias_value":"6P5MCLKXVX5T4B76","created_at":"2026-07-02T00:18:36Z"},{"alias_kind":"pith_short_8","alias_value":"6P5MCLKX","created_at":"2026-07-02T00:18:36Z"}],"graph_snapshots":[{"event_id":"sha256:b8ac7e6c18c19812c4feb0ebbc03247a5b045f6172a8bb27e6f2622c98a94663","target":"graph","created_at":"2026-07-02T00:18:36Z","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/2607.00138/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"MG-SpaIR is a training-data-free framework for restoring a clean image from a single observation corrupted by a mixture of blur, downsampling, noise, and missing pixels. Building on implicit neural representations (INRs), we introduce a multi-grade coarse-to-fine residual hierarchy that progressively refines the reconstruction across resolution grades, improving representational fidelity and mitigating spectral limitations. To stabilize reconstruction optimization and suppress INR-induced artifacts, we further propose an explicit sparse proximal regularization (e.g., $\\ell_0$-type) applied dir","authors_text":"Ashley Prater-Bennette, Jianmin Liao, Lei Huang, Lixin Shen, Ronglong Fang, Yuesheng Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2026-06-30T20:17:37Z","title":"MG-SpaIR: Multi-grade Sparse-guided Implicit Representation for Training-Data-Free Image Restoration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00138","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":"sha256:34a1f2f641d909a9b9de72b7d7740b1744f88122b6230d4d16f1f75a48336ecc","target":"record","created_at":"2026-07-02T00:18:36Z","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":"61b4ed315395a7062a2e15f71cc2410fa6a49cbe6031369c17e4e04d5b5944cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2026-06-30T20:17:37Z","title_canon_sha256":"180979468e8724065d12f56e520d0e12b00502e5d7114a64cc20ac32ac0357e5"},"schema_version":"1.0","source":{"id":"2607.00138","kind":"arxiv","version":1}},"canonical_sha256":"f3fac12d57adfb3e07fee9035385f4298e9326d01d68ee3ba3ba24ab0f4aed56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3fac12d57adfb3e07fee9035385f4298e9326d01d68ee3ba3ba24ab0f4aed56","first_computed_at":"2026-07-02T00:18:36.271744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-02T00:18:36.271744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iVJLX2wuFW4hlW/fyb/5udW2xFrVsjo+myWNzlRDAcjEW5pEv+tNrR7iitZVlA6WLL+MM+coJEGNuKJDztEfBw==","signature_status":"signed_v1","signed_at":"2026-07-02T00:18:36.272226Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.00138","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34a1f2f641d909a9b9de72b7d7740b1744f88122b6230d4d16f1f75a48336ecc","sha256:b8ac7e6c18c19812c4feb0ebbc03247a5b045f6172a8bb27e6f2622c98a94663"],"state_sha256":"aaba1436ecef12c6b3494e061e821fbb75955d8cb24ef45b7162bdfc29fa4ecc"}