{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:EJTHMWCBTP7DSLAVIKAEFUL2CQ","short_pith_number":"pith:EJTHMWCB","canonical_record":{"source":{"id":"2305.07967","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-05-13T17:04:54Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"89161599fd3fc393a3d5dc6c197888be730772899b1d273fd14e672a0b85c152","abstract_canon_sha256":"a807036e3c2d997970fb1a65b97af1d30b4dddce131d21cb232826d09786c35e"},"schema_version":"1.0"},"canonical_sha256":"22667658419bfe392c15428042d17a141cb6ddadf7f19d73b73178922a171ef8","source":{"kind":"arxiv","id":"2305.07967","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.07967","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"arxiv_version","alias_value":"2305.07967v1","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.07967","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"pith_short_12","alias_value":"EJTHMWCBTP7D","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"pith_short_16","alias_value":"EJTHMWCBTP7DSLAV","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"pith_short_8","alias_value":"EJTHMWCB","created_at":"2026-07-05T06:09:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:EJTHMWCBTP7DSLAVIKAEFUL2CQ","target":"record","payload":{"canonical_record":{"source":{"id":"2305.07967","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-05-13T17:04:54Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"89161599fd3fc393a3d5dc6c197888be730772899b1d273fd14e672a0b85c152","abstract_canon_sha256":"a807036e3c2d997970fb1a65b97af1d30b4dddce131d21cb232826d09786c35e"},"schema_version":"1.0"},"canonical_sha256":"22667658419bfe392c15428042d17a141cb6ddadf7f19d73b73178922a171ef8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:09:56.505409Z","signature_b64":"HGWXv4misClWJRvfmgqiDtuDJk5IM+yQuLG/HMCkaWIig0itvCWqD0XUV1bV94D9eUBgORcrBHvFXFDnViAwAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22667658419bfe392c15428042d17a141cb6ddadf7f19d73b73178922a171ef8","last_reissued_at":"2026-07-05T06:09:56.504987Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:09:56.504987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.07967","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":"2026-07-05T06:09:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FHc7izsMulclWVeV2jZMFAJ+9feF3EIniIZLALEcWJCPOZ52gCWCPArxHIuFwb/V71hYyKxN8qhqTA0e4pBbAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T02:19:10.776138Z"},"content_sha256":"b7f353fa51a36758a622bbd7fc419da7a1b31c08810bce22d70942f31ced0e6e","schema_version":"1.0","event_id":"sha256:b7f353fa51a36758a622bbd7fc419da7a1b31c08810bce22d70942f31ced0e6e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:EJTHMWCBTP7DSLAVIKAEFUL2CQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structured Low-Rank Tensor Learning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.LG","authors_text":"Jayadev Naram, Pawan Kumar, Tanmay Kumar Sinha","submitted_at":"2023-05-13T17:04:54Z","abstract_excerpt":"We consider the problem of learning low-rank tensors from partial observations with structural constraints, and propose a novel factorization of such tensors, which leads to a simpler optimization problem. The resulting problem is an optimization problem on manifolds. We develop first-order and second-order Riemannian optimization algorithms to solve it. The duality gap for the resulting problem is derived, and we experimentally verify the correctness of the proposed algorithm. We demonstrate the algorithm on nonnegative constraints and Hankel constraints."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.07967","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/2305.07967/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":"2026-07-05T06:09:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iL3jqA5LwlbdLSNQPEWIdpF2m67gQymNixTGgkCSdobRNG2Lpp6xWOVeEGLJQ6vfU3gqR3GsXkn7ZEglOIbSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T02:19:10.776539Z"},"content_sha256":"8693249eaf987bfd095789e7388a5b8881c6f2179c98260d9ef9dcd358f32223","schema_version":"1.0","event_id":"sha256:8693249eaf987bfd095789e7388a5b8881c6f2179c98260d9ef9dcd358f32223"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EJTHMWCBTP7DSLAVIKAEFUL2CQ/bundle.json","state_url":"https://pith.science/pith/EJTHMWCBTP7DSLAVIKAEFUL2CQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EJTHMWCBTP7DSLAVIKAEFUL2CQ/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":"2026-07-09T02:19:10Z","links":{"resolver":"https://pith.science/pith/EJTHMWCBTP7DSLAVIKAEFUL2CQ","bundle":"https://pith.science/pith/EJTHMWCBTP7DSLAVIKAEFUL2CQ/bundle.json","state":"https://pith.science/pith/EJTHMWCBTP7DSLAVIKAEFUL2CQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EJTHMWCBTP7DSLAVIKAEFUL2CQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:EJTHMWCBTP7DSLAVIKAEFUL2CQ","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":"a807036e3c2d997970fb1a65b97af1d30b4dddce131d21cb232826d09786c35e","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-05-13T17:04:54Z","title_canon_sha256":"89161599fd3fc393a3d5dc6c197888be730772899b1d273fd14e672a0b85c152"},"schema_version":"1.0","source":{"id":"2305.07967","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.07967","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"arxiv_version","alias_value":"2305.07967v1","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.07967","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"pith_short_12","alias_value":"EJTHMWCBTP7D","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"pith_short_16","alias_value":"EJTHMWCBTP7DSLAV","created_at":"2026-07-05T06:09:56Z"},{"alias_kind":"pith_short_8","alias_value":"EJTHMWCB","created_at":"2026-07-05T06:09:56Z"}],"graph_snapshots":[{"event_id":"sha256:8693249eaf987bfd095789e7388a5b8881c6f2179c98260d9ef9dcd358f32223","target":"graph","created_at":"2026-07-05T06:09:56Z","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/2305.07967/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of learning low-rank tensors from partial observations with structural constraints, and propose a novel factorization of such tensors, which leads to a simpler optimization problem. The resulting problem is an optimization problem on manifolds. We develop first-order and second-order Riemannian optimization algorithms to solve it. The duality gap for the resulting problem is derived, and we experimentally verify the correctness of the proposed algorithm. We demonstrate the algorithm on nonnegative constraints and Hankel constraints.","authors_text":"Jayadev Naram, Pawan Kumar, Tanmay Kumar Sinha","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-05-13T17:04:54Z","title":"Structured Low-Rank Tensor Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.07967","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:b7f353fa51a36758a622bbd7fc419da7a1b31c08810bce22d70942f31ced0e6e","target":"record","created_at":"2026-07-05T06:09:56Z","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":"a807036e3c2d997970fb1a65b97af1d30b4dddce131d21cb232826d09786c35e","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-05-13T17:04:54Z","title_canon_sha256":"89161599fd3fc393a3d5dc6c197888be730772899b1d273fd14e672a0b85c152"},"schema_version":"1.0","source":{"id":"2305.07967","kind":"arxiv","version":1}},"canonical_sha256":"22667658419bfe392c15428042d17a141cb6ddadf7f19d73b73178922a171ef8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22667658419bfe392c15428042d17a141cb6ddadf7f19d73b73178922a171ef8","first_computed_at":"2026-07-05T06:09:56.504987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:09:56.504987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HGWXv4misClWJRvfmgqiDtuDJk5IM+yQuLG/HMCkaWIig0itvCWqD0XUV1bV94D9eUBgORcrBHvFXFDnViAwAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:09:56.505409Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.07967","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7f353fa51a36758a622bbd7fc419da7a1b31c08810bce22d70942f31ced0e6e","sha256:8693249eaf987bfd095789e7388a5b8881c6f2179c98260d9ef9dcd358f32223"],"state_sha256":"afb3e5eb601cf744be60abeb22bfc2deab3f85510d03b0ce7ded832485294ded"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DZa3f8pMT3kKrFPLA2yY/PqjB0LgRhUIxK2lbr3r/AhIBt002hvI3rclzfc/CKjWNR9rHLtAHlI1hcXFyzvVBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T02:19:10.778587Z","bundle_sha256":"59d26df49162b8bae2a79de2a0003129dc97ab17d44df8a440fb28511d856308"}}