{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:QEKJ4FIQ4AKZ53KQX66KSD6MDZ","short_pith_number":"pith:QEKJ4FIQ","canonical_record":{"source":{"id":"2503.15352","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T15:51:17Z","cross_cats_sorted":["cs.AI","cs.CV","eess.SP"],"title_canon_sha256":"9abd80a74edda894f8419c785bcca4d759cc37926d1c70d951c765482dca5d9f","abstract_canon_sha256":"d759cac5cf968e0b154300d144e82cb46bbfc8778504707550ee22415dac8a69"},"schema_version":"1.0"},"canonical_sha256":"81149e1510e0159eed50bfbca90fcc1e49e734d184500744a2a87fdbfeee2755","source":{"kind":"arxiv","id":"2503.15352","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.15352","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"2503.15352v2","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.15352","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"QEKJ4FIQ4AKZ","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"pith_short_16","alias_value":"QEKJ4FIQ4AKZ53KQ","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"pith_short_8","alias_value":"QEKJ4FIQ","created_at":"2026-07-05T11:18:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:QEKJ4FIQ4AKZ53KQX66KSD6MDZ","target":"record","payload":{"canonical_record":{"source":{"id":"2503.15352","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T15:51:17Z","cross_cats_sorted":["cs.AI","cs.CV","eess.SP"],"title_canon_sha256":"9abd80a74edda894f8419c785bcca4d759cc37926d1c70d951c765482dca5d9f","abstract_canon_sha256":"d759cac5cf968e0b154300d144e82cb46bbfc8778504707550ee22415dac8a69"},"schema_version":"1.0"},"canonical_sha256":"81149e1510e0159eed50bfbca90fcc1e49e734d184500744a2a87fdbfeee2755","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:18:19.587732Z","signature_b64":"sY0z50nY6ruwMsZSuVd/b8o7owotwG6J3XfxclwWOrW67t8c6XTxjFetJKpyj80iIHTnm2tBnG7LBuXPd2uRDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81149e1510e0159eed50bfbca90fcc1e49e734d184500744a2a87fdbfeee2755","last_reissued_at":"2026-07-05T11:18:19.587245Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:18:19.587245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.15352","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:18:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+eJMM2j19G+QXZ5MZa1cwRtlWmO4qmL/n0lMJ62d2bmXRAZ3PLaOMGPa8H7OjcPK/2qKynGXIFPteFSzMHlDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T00:56:52.495451Z"},"content_sha256":"0c1f5362ac04fd9d1188238ab01de10087530809f384cc67eb77203aec2b048a","schema_version":"1.0","event_id":"sha256:0c1f5362ac04fd9d1188238ab01de10087530809f384cc67eb77203aec2b048a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:QEKJ4FIQ4AKZ53KQX66KSD6MDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards Achieving Perfect Multimodal Alignment","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.AI","cs.CV","eess.SP"],"primary_cat":"cs.LG","authors_text":"Abhi Kamboj, Minh N. Do","submitted_at":"2025-03-19T15:51:17Z","abstract_excerpt":"Multimodal alignment constructs a joint latent vector space where modalities representing the same concept map to neighboring latent vectors. We formulate this as an inverse problem and show that, under certain conditions, paired data from each modality can map to equivalent latent vectors, which we refer to as perfect alignment. When perfect alignment cannot be achieved, it can be approximated using the Singular Value Decomposition (SVD) of a multimodal data matrix. Experiments on synthetic multimodal Gaussian data verify the effectiveness of our perfect alignment method compared to a learned"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.15352","kind":"arxiv","version":2},"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/2503.15352/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":"2026-07-05T11:18:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v8MOTGFr1JXZPvY5W+pE8vxZdku0PE//JiDvfbgoCu/C1Ro70Lb5zxbsiLNeYruidGUCgiSKHppA986WBfCgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T00:56:52.495964Z"},"content_sha256":"ae08848287644d6a49afb5e0227e0a0a471eb850153ea0b4552514f45373a050","schema_version":"1.0","event_id":"sha256:ae08848287644d6a49afb5e0227e0a0a471eb850153ea0b4552514f45373a050"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QEKJ4FIQ4AKZ53KQX66KSD6MDZ/bundle.json","state_url":"https://pith.science/pith/QEKJ4FIQ4AKZ53KQX66KSD6MDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QEKJ4FIQ4AKZ53KQX66KSD6MDZ/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":"2026-08-22T00:56:52Z","links":{"resolver":"https://pith.science/pith/QEKJ4FIQ4AKZ53KQX66KSD6MDZ","bundle":"https://pith.science/pith/QEKJ4FIQ4AKZ53KQX66KSD6MDZ/bundle.json","state":"https://pith.science/pith/QEKJ4FIQ4AKZ53KQX66KSD6MDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QEKJ4FIQ4AKZ53KQX66KSD6MDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QEKJ4FIQ4AKZ53KQX66KSD6MDZ","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":"d759cac5cf968e0b154300d144e82cb46bbfc8778504707550ee22415dac8a69","cross_cats_sorted":["cs.AI","cs.CV","eess.SP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T15:51:17Z","title_canon_sha256":"9abd80a74edda894f8419c785bcca4d759cc37926d1c70d951c765482dca5d9f"},"schema_version":"1.0","source":{"id":"2503.15352","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.15352","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"2503.15352v2","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.15352","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"QEKJ4FIQ4AKZ","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"pith_short_16","alias_value":"QEKJ4FIQ4AKZ53KQ","created_at":"2026-07-05T11:18:19Z"},{"alias_kind":"pith_short_8","alias_value":"QEKJ4FIQ","created_at":"2026-07-05T11:18:19Z"}],"graph_snapshots":[{"event_id":"sha256:ae08848287644d6a49afb5e0227e0a0a471eb850153ea0b4552514f45373a050","target":"graph","created_at":"2026-07-05T11:18:19Z","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/2503.15352/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multimodal alignment constructs a joint latent vector space where modalities representing the same concept map to neighboring latent vectors. We formulate this as an inverse problem and show that, under certain conditions, paired data from each modality can map to equivalent latent vectors, which we refer to as perfect alignment. When perfect alignment cannot be achieved, it can be approximated using the Singular Value Decomposition (SVD) of a multimodal data matrix. Experiments on synthetic multimodal Gaussian data verify the effectiveness of our perfect alignment method compared to a learned","authors_text":"Abhi Kamboj, Minh N. Do","cross_cats":["cs.AI","cs.CV","eess.SP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T15:51:17Z","title":"Towards Achieving Perfect Multimodal Alignment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.15352","kind":"arxiv","version":2},"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":"sha256:0c1f5362ac04fd9d1188238ab01de10087530809f384cc67eb77203aec2b048a","target":"record","created_at":"2026-07-05T11:18:19Z","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":"d759cac5cf968e0b154300d144e82cb46bbfc8778504707550ee22415dac8a69","cross_cats_sorted":["cs.AI","cs.CV","eess.SP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T15:51:17Z","title_canon_sha256":"9abd80a74edda894f8419c785bcca4d759cc37926d1c70d951c765482dca5d9f"},"schema_version":"1.0","source":{"id":"2503.15352","kind":"arxiv","version":2}},"canonical_sha256":"81149e1510e0159eed50bfbca90fcc1e49e734d184500744a2a87fdbfeee2755","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81149e1510e0159eed50bfbca90fcc1e49e734d184500744a2a87fdbfeee2755","first_computed_at":"2026-07-05T11:18:19.587245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:18:19.587245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sY0z50nY6ruwMsZSuVd/b8o7owotwG6J3XfxclwWOrW67t8c6XTxjFetJKpyj80iIHTnm2tBnG7LBuXPd2uRDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:18:19.587732Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.15352","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c1f5362ac04fd9d1188238ab01de10087530809f384cc67eb77203aec2b048a","sha256:ae08848287644d6a49afb5e0227e0a0a471eb850153ea0b4552514f45373a050"],"state_sha256":"9e6be128a3c90a4c758c4fde5719dfc288bdbe636f7714a11683555f22ee81dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H2zFgRzGELYqyoCJp2apTsWy/vO97+Co1qLjr6/JcGtElCNLBCUz4y2cIiHuq2c5/vnhTn8mk6WiS3uCxG2nDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T00:56:52.500989Z","bundle_sha256":"780a83bdb06146c747b019be386586d1e18344e7e60485bec82f7ec6f1f94692"}}