{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:GTGOG24TZPRX4NKB5P4TFK3F3P","short_pith_number":"pith:GTGOG24T","schema_version":"1.0","canonical_sha256":"34cce36b93cbe37e3541ebf932ab65dbf8d8c06403400f08ca1ad2a486ca00ce","source":{"kind":"arxiv","id":"2608.05769","version":1},"attestation_state":"computed","paper":{"title":"Flow-Map Distillation on Relation Manifolds for Image Restoration","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Songhua Liu, Zihao He","submitted_at":"2026-08-06T08:59:28Z","abstract_excerpt":"Knowledge distillation for image restoration typically aligns intermediate features or relation matrices between teacher and student networks as static targets, ignoring the dynamic structure of the knowledge transfer process. In this paper, we propose Flow-Map Distillation on Relation Manifolds (FoRM), which reformulates relation-based knowledge transfer as a continuous flow mapping problem on the relation manifold. Rather than regressing a constant velocity field between student and teacher relation states, FoRM learns a flow map operator $\\mathcal{F}_\\theta(\\mathbf{z}, t, s)$ that directly "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2608.05769","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CV","submitted_at":"2026-08-06T08:59:28Z","cross_cats_sorted":[],"title_canon_sha256":"44ceba7a45fb7a82fba5fa226b14c0d76902ae53dc41104174ac0e12c261a24b","abstract_canon_sha256":"0b2f275dfa376cec6798fe1bf8484fb132e0dca62b32c959faf2021dfe647e9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T00:52:43.377151Z","signature_b64":"j0mEwujlmQ+FlTP4QLCIJjw6jB0kdIhmAi8e/IL9507o53waPRTAYLI2z5uzHgppVd7dZDKwdjGDfAq4MbrsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34cce36b93cbe37e3541ebf932ab65dbf8d8c06403400f08ca1ad2a486ca00ce","last_reissued_at":"2026-08-07T00:52:43.375752Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T00:52:43.375752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Flow-Map Distillation on Relation Manifolds for Image Restoration","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Songhua Liu, Zihao He","submitted_at":"2026-08-06T08:59:28Z","abstract_excerpt":"Knowledge distillation for image restoration typically aligns intermediate features or relation matrices between teacher and student networks as static targets, ignoring the dynamic structure of the knowledge transfer process. In this paper, we propose Flow-Map Distillation on Relation Manifolds (FoRM), which reformulates relation-based knowledge transfer as a continuous flow mapping problem on the relation manifold. Rather than regressing a constant velocity field between student and teacher relation states, FoRM learns a flow map operator $\\mathcal{F}_\\theta(\\mathbf{z}, t, s)$ that directly "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05769","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.05769/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2608.05769","created_at":"2026-08-07T00:52:43.377235+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.05769v1","created_at":"2026-08-07T00:52:43.377235+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05769","created_at":"2026-08-07T00:52:43.377235+00:00"},{"alias_kind":"pith_short_12","alias_value":"GTGOG24TZPRX","created_at":"2026-08-07T00:52:43.377235+00:00"},{"alias_kind":"pith_short_16","alias_value":"GTGOG24TZPRX4NKB","created_at":"2026-08-07T00:52:43.377235+00:00"},{"alias_kind":"pith_short_8","alias_value":"GTGOG24T","created_at":"2026-08-07T00:52:43.377235+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GTGOG24TZPRX4NKB5P4TFK3F3P","json":"https://pith.science/pith/GTGOG24TZPRX4NKB5P4TFK3F3P.json","graph_json":"https://pith.science/api/pith-number/GTGOG24TZPRX4NKB5P4TFK3F3P/graph.json","events_json":"https://pith.science/api/pith-number/GTGOG24TZPRX4NKB5P4TFK3F3P/events.json","paper":"https://pith.science/paper/GTGOG24T"},"agent_actions":{"view_html":"https://pith.science/pith/GTGOG24TZPRX4NKB5P4TFK3F3P","download_json":"https://pith.science/pith/GTGOG24TZPRX4NKB5P4TFK3F3P.json","view_paper":"https://pith.science/paper/GTGOG24T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.05769&json=true","fetch_graph":"https://pith.science/api/pith-number/GTGOG24TZPRX4NKB5P4TFK3F3P/graph.json","fetch_events":"https://pith.science/api/pith-number/GTGOG24TZPRX4NKB5P4TFK3F3P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GTGOG24TZPRX4NKB5P4TFK3F3P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GTGOG24TZPRX4NKB5P4TFK3F3P/action/storage_attestation","attest_author":"https://pith.science/pith/GTGOG24TZPRX4NKB5P4TFK3F3P/action/author_attestation","sign_citation":"https://pith.science/pith/GTGOG24TZPRX4NKB5P4TFK3F3P/action/citation_signature","submit_replication":"https://pith.science/pith/GTGOG24TZPRX4NKB5P4TFK3F3P/action/replication_record"}},"created_at":"2026-08-07T00:52:43.377235+00:00","updated_at":"2026-08-07T00:52:43.377235+00:00"}