{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:HQSH3PFKYKU25PV7CJTGLEHFPO","short_pith_number":"pith:HQSH3PFK","canonical_record":{"source":{"id":"2305.02650","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2023-05-04T08:41:03Z","cross_cats_sorted":["cs.LG","math.IT","stat.ML"],"title_canon_sha256":"de9d93e935bb83d21b0d58e1c7376538cbbc513629c0d462e14d9b5464db8cd3","abstract_canon_sha256":"e4a195ab0845ce054b62e331c4c340d4b88f44469f2f90cf00ee812e704c2f4b"},"schema_version":"1.0"},"canonical_sha256":"3c247dbcaac2a9aebebf12666590e57bb7baafe98f0ebd818d63cbb70e672fba","source":{"kind":"arxiv","id":"2305.02650","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.02650","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"2305.02650v2","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02650","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"HQSH3PFKYKU2","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"pith_short_16","alias_value":"HQSH3PFKYKU25PV7","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"pith_short_8","alias_value":"HQSH3PFK","created_at":"2026-07-05T07:34:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:HQSH3PFKYKU25PV7CJTGLEHFPO","target":"record","payload":{"canonical_record":{"source":{"id":"2305.02650","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2023-05-04T08:41:03Z","cross_cats_sorted":["cs.LG","math.IT","stat.ML"],"title_canon_sha256":"de9d93e935bb83d21b0d58e1c7376538cbbc513629c0d462e14d9b5464db8cd3","abstract_canon_sha256":"e4a195ab0845ce054b62e331c4c340d4b88f44469f2f90cf00ee812e704c2f4b"},"schema_version":"1.0"},"canonical_sha256":"3c247dbcaac2a9aebebf12666590e57bb7baafe98f0ebd818d63cbb70e672fba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:34:47.972237Z","signature_b64":"TKtMQ8wisZRB9n3XDEMzg+lsBLFgcr2iacI8km1p4ayJEkrT03r65M1uwDtarai2+OJrJsGXjjOQ/2ZtyuCgCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c247dbcaac2a9aebebf12666590e57bb7baafe98f0ebd818d63cbb70e672fba","last_reissued_at":"2026-07-05T07:34:47.971719Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:34:47.971719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.02650","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":"2026-07-05T07:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NkZWGb1jZmGnIKxIYmvtQ9n9xVIr4Ukv8wBIgX+gwdXtrX67I6/ip9ny1+5BFENkvMagG99l8fMIXwJ/e9slAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:27:25.814523Z"},"content_sha256":"0c2f058690afef2b1c2f65c17304c52a9529e9ed3f011c5fbc8ea7cbf7151fcb","schema_version":"1.0","event_id":"sha256:0c2f058690afef2b1c2f65c17304c52a9529e9ed3f011c5fbc8ea7cbf7151fcb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:HQSH3PFKYKU25PV7CJTGLEHFPO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Constrained BA Algorithm for Rate-Distortion and Distortion-Rate Functions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","math.IT","stat.ML"],"primary_cat":"cs.IT","authors_text":"Bo Bai, Hao Wu, Huihui Wu, Lingyi Chen, Shitong Wu, Wenhao Ye, Wenyi Zhang","submitted_at":"2023-05-04T08:41:03Z","abstract_excerpt":"The Blahut-Arimoto (BA) algorithm has played a fundamental role in the numerical computation of rate-distortion (RD) functions. This algorithm possesses a desirable monotonic convergence property by alternatively minimizing its Lagrangian with a fixed multiplier. In this paper, we propose a novel modification of the BA algorithm, wherein the multiplier is updated through a one-dimensional root-finding step using a monotonic univariate function, efficiently implemented by Newton's method in each iteration. Consequently, the modified algorithm directly computes the RD function for a given target"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02650","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/2305.02650/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":"2026-07-05T07:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Q8RTFqeIuHSnwrgSnGwJJakRI6LNuBtsoj4esjp3aWF58vVW4GSZtGS3dVbt+Xrs34gB5hvIldfxlU93SbLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:27:25.815088Z"},"content_sha256":"16d98fe401daa066365a79bae52c289e020c992d6b39bcfbea1474aa1e0798a7","schema_version":"1.0","event_id":"sha256:16d98fe401daa066365a79bae52c289e020c992d6b39bcfbea1474aa1e0798a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HQSH3PFKYKU25PV7CJTGLEHFPO/bundle.json","state_url":"https://pith.science/pith/HQSH3PFKYKU25PV7CJTGLEHFPO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HQSH3PFKYKU25PV7CJTGLEHFPO/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":"2026-08-04T22:27:25Z","links":{"resolver":"https://pith.science/pith/HQSH3PFKYKU25PV7CJTGLEHFPO","bundle":"https://pith.science/pith/HQSH3PFKYKU25PV7CJTGLEHFPO/bundle.json","state":"https://pith.science/pith/HQSH3PFKYKU25PV7CJTGLEHFPO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HQSH3PFKYKU25PV7CJTGLEHFPO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HQSH3PFKYKU25PV7CJTGLEHFPO","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":"e4a195ab0845ce054b62e331c4c340d4b88f44469f2f90cf00ee812e704c2f4b","cross_cats_sorted":["cs.LG","math.IT","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2023-05-04T08:41:03Z","title_canon_sha256":"de9d93e935bb83d21b0d58e1c7376538cbbc513629c0d462e14d9b5464db8cd3"},"schema_version":"1.0","source":{"id":"2305.02650","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.02650","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"2305.02650v2","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02650","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"HQSH3PFKYKU2","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"pith_short_16","alias_value":"HQSH3PFKYKU25PV7","created_at":"2026-07-05T07:34:47Z"},{"alias_kind":"pith_short_8","alias_value":"HQSH3PFK","created_at":"2026-07-05T07:34:47Z"}],"graph_snapshots":[{"event_id":"sha256:16d98fe401daa066365a79bae52c289e020c992d6b39bcfbea1474aa1e0798a7","target":"graph","created_at":"2026-07-05T07:34:47Z","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/2305.02650/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Blahut-Arimoto (BA) algorithm has played a fundamental role in the numerical computation of rate-distortion (RD) functions. This algorithm possesses a desirable monotonic convergence property by alternatively minimizing its Lagrangian with a fixed multiplier. In this paper, we propose a novel modification of the BA algorithm, wherein the multiplier is updated through a one-dimensional root-finding step using a monotonic univariate function, efficiently implemented by Newton's method in each iteration. Consequently, the modified algorithm directly computes the RD function for a given target","authors_text":"Bo Bai, Hao Wu, Huihui Wu, Lingyi Chen, Shitong Wu, Wenhao Ye, Wenyi Zhang","cross_cats":["cs.LG","math.IT","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2023-05-04T08:41:03Z","title":"A Constrained BA Algorithm for Rate-Distortion and Distortion-Rate Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02650","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":"sha256:0c2f058690afef2b1c2f65c17304c52a9529e9ed3f011c5fbc8ea7cbf7151fcb","target":"record","created_at":"2026-07-05T07:34:47Z","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":"e4a195ab0845ce054b62e331c4c340d4b88f44469f2f90cf00ee812e704c2f4b","cross_cats_sorted":["cs.LG","math.IT","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2023-05-04T08:41:03Z","title_canon_sha256":"de9d93e935bb83d21b0d58e1c7376538cbbc513629c0d462e14d9b5464db8cd3"},"schema_version":"1.0","source":{"id":"2305.02650","kind":"arxiv","version":2}},"canonical_sha256":"3c247dbcaac2a9aebebf12666590e57bb7baafe98f0ebd818d63cbb70e672fba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c247dbcaac2a9aebebf12666590e57bb7baafe98f0ebd818d63cbb70e672fba","first_computed_at":"2026-07-05T07:34:47.971719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:34:47.971719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TKtMQ8wisZRB9n3XDEMzg+lsBLFgcr2iacI8km1p4ayJEkrT03r65M1uwDtarai2+OJrJsGXjjOQ/2ZtyuCgCg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:34:47.972237Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.02650","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c2f058690afef2b1c2f65c17304c52a9529e9ed3f011c5fbc8ea7cbf7151fcb","sha256:16d98fe401daa066365a79bae52c289e020c992d6b39bcfbea1474aa1e0798a7"],"state_sha256":"d6ba4468675db067125777adc9f3cd5e0f0a72ebff830a665b953202872a146a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"51+/w9YzglKK6IDvOYzWBtgdzM2G0wOtMlUecB1J2GKikM7rRyjb6heScjkCbQkX8GBH14M9FwFjLrW6dSL4AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T22:27:25.822149Z","bundle_sha256":"ed09bdea248345d01399199f28feff878c7a28ee50d63bbd8686172fec7e32fb"}}