{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:QOEO3Q246UB5WHHEFTWGSSVJVV","short_pith_number":"pith:QOEO3Q24","canonical_record":{"source":{"id":"2407.01467","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-25T14:28:05Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"6104347883ea03da3163ce85ddb76a7e378054e23a2981c332c0f69d07e7547a","abstract_canon_sha256":"b3165aa99b6723efb2989bd2efb25fe67add072b62aeb38e2f7569171c3e99ae"},"schema_version":"1.0"},"canonical_sha256":"8388edc35cf503db1ce42cec694aa9ad788f47daebdaad2b42f2537a27f9c8a6","source":{"kind":"arxiv","id":"2407.01467","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.01467","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"arxiv_version","alias_value":"2407.01467v1","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.01467","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"pith_short_12","alias_value":"QOEO3Q246UB5","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"pith_short_16","alias_value":"QOEO3Q246UB5WHHE","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"pith_short_8","alias_value":"QOEO3Q24","created_at":"2026-07-05T08:38:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:QOEO3Q246UB5WHHEFTWGSSVJVV","target":"record","payload":{"canonical_record":{"source":{"id":"2407.01467","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-25T14:28:05Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"6104347883ea03da3163ce85ddb76a7e378054e23a2981c332c0f69d07e7547a","abstract_canon_sha256":"b3165aa99b6723efb2989bd2efb25fe67add072b62aeb38e2f7569171c3e99ae"},"schema_version":"1.0"},"canonical_sha256":"8388edc35cf503db1ce42cec694aa9ad788f47daebdaad2b42f2537a27f9c8a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:38:48.434557Z","signature_b64":"GYJDy9fD8sSNfZXSm9hV5OndQbF2Bq/Ck42NPcJICuctruXF9aMlQdKGyDdD16hFOQ3F6VAaQ7ksvLvBUJ8yCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8388edc35cf503db1ce42cec694aa9ad788f47daebdaad2b42f2537a27f9c8a6","last_reissued_at":"2026-07-05T08:38:48.434153Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:38:48.434153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.01467","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":"2026-07-05T08:38:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qg77SI2fpIi3tPhnb2f5UqRcqM7+vAHJLp5jZfQdyQhqh+AjEiqvr3GvqFbnKM8SYhmfoiiwHE5W6W1OW3N9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:15:10.766441Z"},"content_sha256":"4c2a129c70def01adfefc1dd12f7563c06520e189732b23f44e84ea2c03afcc4","schema_version":"1.0","event_id":"sha256:4c2a129c70def01adfefc1dd12f7563c06520e189732b23f44e84ea2c03afcc4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:QOEO3Q246UB5WHHEFTWGSSVJVV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Balanced-Pairwise-Affinities Feature Transform","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.CV"],"primary_cat":"cs.LG","authors_text":"Daniel Shalam, Simon Korman","submitted_at":"2024-06-25T14:28:05Z","abstract_excerpt":"The Balanced-Pairwise-Affinities (BPA) feature transform is designed to upgrade the features of a set of input items to facilitate downstream matching or grouping related tasks. The transformed set encodes a rich representation of high order relations between the input features. A particular min-cost-max-flow fractional matching problem, whose entropy regularized version can be approximated by an optimal transport (OT) optimization, leads to a transform which is efficient, differentiable, equivariant, parameterless and probabilistically interpretable. While the Sinkhorn OT solver has been adap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.01467","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/2407.01467/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":"2026-07-05T08:38:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DvMnKOggwXE/9xVYXkQlw4UQM09tAQm6Pe6RIawGZ5VRN0fOMpYg2Sje0TMsObPoZNplY7fgqScY6kxddrI8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:15:10.767402Z"},"content_sha256":"8bc6989c48af6e46882b6eb5320570ce15b0e6129875949dd2dae7335fe53ada","schema_version":"1.0","event_id":"sha256:8bc6989c48af6e46882b6eb5320570ce15b0e6129875949dd2dae7335fe53ada"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QOEO3Q246UB5WHHEFTWGSSVJVV/bundle.json","state_url":"https://pith.science/pith/QOEO3Q246UB5WHHEFTWGSSVJVV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QOEO3Q246UB5WHHEFTWGSSVJVV/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":"2026-08-08T13:15:10Z","links":{"resolver":"https://pith.science/pith/QOEO3Q246UB5WHHEFTWGSSVJVV","bundle":"https://pith.science/pith/QOEO3Q246UB5WHHEFTWGSSVJVV/bundle.json","state":"https://pith.science/pith/QOEO3Q246UB5WHHEFTWGSSVJVV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QOEO3Q246UB5WHHEFTWGSSVJVV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QOEO3Q246UB5WHHEFTWGSSVJVV","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":"b3165aa99b6723efb2989bd2efb25fe67add072b62aeb38e2f7569171c3e99ae","cross_cats_sorted":["cs.CV"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-25T14:28:05Z","title_canon_sha256":"6104347883ea03da3163ce85ddb76a7e378054e23a2981c332c0f69d07e7547a"},"schema_version":"1.0","source":{"id":"2407.01467","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.01467","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"arxiv_version","alias_value":"2407.01467v1","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.01467","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"pith_short_12","alias_value":"QOEO3Q246UB5","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"pith_short_16","alias_value":"QOEO3Q246UB5WHHE","created_at":"2026-07-05T08:38:48Z"},{"alias_kind":"pith_short_8","alias_value":"QOEO3Q24","created_at":"2026-07-05T08:38:48Z"}],"graph_snapshots":[{"event_id":"sha256:8bc6989c48af6e46882b6eb5320570ce15b0e6129875949dd2dae7335fe53ada","target":"graph","created_at":"2026-07-05T08:38:48Z","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/2407.01467/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Balanced-Pairwise-Affinities (BPA) feature transform is designed to upgrade the features of a set of input items to facilitate downstream matching or grouping related tasks. The transformed set encodes a rich representation of high order relations between the input features. A particular min-cost-max-flow fractional matching problem, whose entropy regularized version can be approximated by an optimal transport (OT) optimization, leads to a transform which is efficient, differentiable, equivariant, parameterless and probabilistically interpretable. While the Sinkhorn OT solver has been adap","authors_text":"Daniel Shalam, Simon Korman","cross_cats":["cs.CV"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-25T14:28:05Z","title":"The Balanced-Pairwise-Affinities Feature Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.01467","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":"sha256:4c2a129c70def01adfefc1dd12f7563c06520e189732b23f44e84ea2c03afcc4","target":"record","created_at":"2026-07-05T08:38:48Z","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":"b3165aa99b6723efb2989bd2efb25fe67add072b62aeb38e2f7569171c3e99ae","cross_cats_sorted":["cs.CV"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-25T14:28:05Z","title_canon_sha256":"6104347883ea03da3163ce85ddb76a7e378054e23a2981c332c0f69d07e7547a"},"schema_version":"1.0","source":{"id":"2407.01467","kind":"arxiv","version":1}},"canonical_sha256":"8388edc35cf503db1ce42cec694aa9ad788f47daebdaad2b42f2537a27f9c8a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8388edc35cf503db1ce42cec694aa9ad788f47daebdaad2b42f2537a27f9c8a6","first_computed_at":"2026-07-05T08:38:48.434153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:38:48.434153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GYJDy9fD8sSNfZXSm9hV5OndQbF2Bq/Ck42NPcJICuctruXF9aMlQdKGyDdD16hFOQ3F6VAaQ7ksvLvBUJ8yCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:38:48.434557Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.01467","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c2a129c70def01adfefc1dd12f7563c06520e189732b23f44e84ea2c03afcc4","sha256:8bc6989c48af6e46882b6eb5320570ce15b0e6129875949dd2dae7335fe53ada"],"state_sha256":"9022b3515da8d7355ea69a248412a6c7fda0cba4ca1ad2e483e408c4c19c13dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"liW5mN8h3i6D8kfkENa72e/TMvoVSnD0jO3EJh+yl9TmOFcZu4Naam2KpFQCOmf1k8tKioOMokm6Ob30cfYsBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:15:10.773718Z","bundle_sha256":"f3e3073134b1b7ff2a23f07e83f0048903b509030350d8449b142354c92b0b17"}}