{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3XWFTT5OG7AG4WS3ZQ4VEIKVU3","short_pith_number":"pith:3XWFTT5O","canonical_record":{"source":{"id":"1403.7164","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-27T18:39:24Z","cross_cats_sorted":["math.IT","math.PR"],"title_canon_sha256":"c73a188d2a663b1c1d7b7f7f557057985a61a497db4e102522ed35106b0bbbf9","abstract_canon_sha256":"79857a9e1f045fdd5c983576335a52e4c8ac5f97c92548cfc8ce604b38802da5"},"schema_version":"1.0"},"canonical_sha256":"ddec59cfae37c06e5a5bcc39522155a6d81fc48b0f654fa019f82ebf3c80f32c","source":{"kind":"arxiv","id":"1403.7164","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7164","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7164v7","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7164","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"3XWFTT5OG7AG","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3XWFTT5OG7AG4WS3","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3XWFTT5O","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3XWFTT5OG7AG4WS3ZQ4VEIKVU3","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7164","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-27T18:39:24Z","cross_cats_sorted":["math.IT","math.PR"],"title_canon_sha256":"c73a188d2a663b1c1d7b7f7f557057985a61a497db4e102522ed35106b0bbbf9","abstract_canon_sha256":"79857a9e1f045fdd5c983576335a52e4c8ac5f97c92548cfc8ce604b38802da5"},"schema_version":"1.0"},"canonical_sha256":"ddec59cfae37c06e5a5bcc39522155a6d81fc48b0f654fa019f82ebf3c80f32c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:11.964524Z","signature_b64":"gVfqb+HEEbbwxF8isL1vzFIXasi3ambBkoLkW2kPIaMGteSkQewDNrp/fPHX7wJytL2h9m3qXRZgpuACw5W9Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddec59cfae37c06e5a5bcc39522155a6d81fc48b0f654fa019f82ebf3c80f32c","last_reissued_at":"2026-05-18T00:58:11.963889Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:11.963889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7164","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:58:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aOCfu88L5Ln/Hq4st+68ihSZ/9RrianGPZ9omCTFyO1o5coQ5/t3sBJel5+WL5CNhhpx9LkYeHj9ZoLFYZImAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:02:16.902611Z"},"content_sha256":"32c1863e32eae44786f0c4e631db38ef3681b6081ef6e62e2841854fa8759d6e","schema_version":"1.0","event_id":"sha256:32c1863e32eae44786f0c4e631db38ef3681b6081ef6e62e2841854fa8759d6e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3XWFTT5OG7AG4WS3ZQ4VEIKVU3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tight Bounds for Symmetric Divergence Measures and a Refined Bound for Lossless Source Coding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.PR"],"primary_cat":"cs.IT","authors_text":"Igal Sason","submitted_at":"2014-03-27T18:39:24Z","abstract_excerpt":"Tight bounds for several symmetric divergence measures are derived in terms of the total variation distance. It is shown that each of these bounds is attained by a pair of 2 or 3-element probability distributions. An application of these bounds for lossless source coding is provided, refining and improving a certain bound by Csisz\\'{a}r. Another application of these bounds has been recently introduced by Yardi. et al. for channel-code detection."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7164","kind":"arxiv","version":7},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:58:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3RhsSbQ5FdX5nF8xCfQbJOtARM1THK3ryDIxT8Gs9mqwGhWGrLwAqV32Pn4CA/VoYJhR3rDmrY82AC8MRqHaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:02:16.903275Z"},"content_sha256":"1c6811d5e2bfbebf10b1618fbe5f5717f45f76225e02d25433f7501aef365df2","schema_version":"1.0","event_id":"sha256:1c6811d5e2bfbebf10b1618fbe5f5717f45f76225e02d25433f7501aef365df2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3XWFTT5OG7AG4WS3ZQ4VEIKVU3/bundle.json","state_url":"https://pith.science/pith/3XWFTT5OG7AG4WS3ZQ4VEIKVU3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3XWFTT5OG7AG4WS3ZQ4VEIKVU3/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":"2026-06-11T04:02:16Z","links":{"resolver":"https://pith.science/pith/3XWFTT5OG7AG4WS3ZQ4VEIKVU3","bundle":"https://pith.science/pith/3XWFTT5OG7AG4WS3ZQ4VEIKVU3/bundle.json","state":"https://pith.science/pith/3XWFTT5OG7AG4WS3ZQ4VEIKVU3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3XWFTT5OG7AG4WS3ZQ4VEIKVU3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3XWFTT5OG7AG4WS3ZQ4VEIKVU3","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":"79857a9e1f045fdd5c983576335a52e4c8ac5f97c92548cfc8ce604b38802da5","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-27T18:39:24Z","title_canon_sha256":"c73a188d2a663b1c1d7b7f7f557057985a61a497db4e102522ed35106b0bbbf9"},"schema_version":"1.0","source":{"id":"1403.7164","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7164","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7164v7","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7164","created_at":"2026-05-18T00:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"3XWFTT5OG7AG","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3XWFTT5OG7AG4WS3","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3XWFTT5O","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:1c6811d5e2bfbebf10b1618fbe5f5717f45f76225e02d25433f7501aef365df2","target":"graph","created_at":"2026-05-18T00:58:11Z","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"},"paper":{"abstract_excerpt":"Tight bounds for several symmetric divergence measures are derived in terms of the total variation distance. It is shown that each of these bounds is attained by a pair of 2 or 3-element probability distributions. An application of these bounds for lossless source coding is provided, refining and improving a certain bound by Csisz\\'{a}r. Another application of these bounds has been recently introduced by Yardi. et al. for channel-code detection.","authors_text":"Igal Sason","cross_cats":["math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-27T18:39:24Z","title":"Tight Bounds for Symmetric Divergence Measures and a Refined Bound for Lossless Source Coding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7164","kind":"arxiv","version":7},"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":"sha256:32c1863e32eae44786f0c4e631db38ef3681b6081ef6e62e2841854fa8759d6e","target":"record","created_at":"2026-05-18T00:58:11Z","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":"79857a9e1f045fdd5c983576335a52e4c8ac5f97c92548cfc8ce604b38802da5","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-27T18:39:24Z","title_canon_sha256":"c73a188d2a663b1c1d7b7f7f557057985a61a497db4e102522ed35106b0bbbf9"},"schema_version":"1.0","source":{"id":"1403.7164","kind":"arxiv","version":7}},"canonical_sha256":"ddec59cfae37c06e5a5bcc39522155a6d81fc48b0f654fa019f82ebf3c80f32c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddec59cfae37c06e5a5bcc39522155a6d81fc48b0f654fa019f82ebf3c80f32c","first_computed_at":"2026-05-18T00:58:11.963889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:11.963889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gVfqb+HEEbbwxF8isL1vzFIXasi3ambBkoLkW2kPIaMGteSkQewDNrp/fPHX7wJytL2h9m3qXRZgpuACw5W9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:11.964524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7164","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32c1863e32eae44786f0c4e631db38ef3681b6081ef6e62e2841854fa8759d6e","sha256:1c6811d5e2bfbebf10b1618fbe5f5717f45f76225e02d25433f7501aef365df2"],"state_sha256":"5a9c4b38521de0c6ac5ae3664fb9db5cee7e622104cbc25b944b742f7c23d77f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oMw3gkkI3rYYsSRDsYaSlOxwIvYtz4Mi4SXpL6JW2YXIM8XtC628IeBr/VAPcg6ojCbqKEKUyvU0IjQrytiCCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T04:02:16.906704Z","bundle_sha256":"6903a64de0e330e32ee24cc094e7197c39f1d66d20186857fe2a76501bcabb1c"}}