{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GMIXMOTRRVO23RZY6IW2TIBWQ6","short_pith_number":"pith:GMIXMOTR","canonical_record":{"source":{"id":"1604.03140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-11T20:37:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5c9064bc0013e596749daefb3becb79c922dcd9ee82b8484b32707635be17447","abstract_canon_sha256":"5aa6925cece265709d6643eeac66ce4ab24eb17fd38a6d6bf0ac5f1553607514"},"schema_version":"1.0"},"canonical_sha256":"3311763a718d5dadc738f22da9a03687ac739f316a632bf3f0ef8e3be42534f3","source":{"kind":"arxiv","id":"1604.03140","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03140","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03140v1","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03140","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"pith_short_12","alias_value":"GMIXMOTRRVO2","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GMIXMOTRRVO23RZY","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GMIXMOTR","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GMIXMOTRRVO23RZY6IW2TIBWQ6","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-11T20:37:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5c9064bc0013e596749daefb3becb79c922dcd9ee82b8484b32707635be17447","abstract_canon_sha256":"5aa6925cece265709d6643eeac66ce4ab24eb17fd38a6d6bf0ac5f1553607514"},"schema_version":"1.0"},"canonical_sha256":"3311763a718d5dadc738f22da9a03687ac739f316a632bf3f0ef8e3be42534f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:16.368782Z","signature_b64":"ULJ/dH2LSblAoX/trYYsZCUpSFG5SA1ME+0qaLRjtPN7a52eyP8C+ogureNPBG9b+yKJzo++JJrBmPRoYgf/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3311763a718d5dadc738f22da9a03687ac739f316a632bf3f0ef8e3be42534f3","last_reissued_at":"2026-05-18T01:17:16.367965Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:16.367965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03140","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":"2026-05-18T01:17:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"78WR26a8p9dnmOO0YwCSwwjVcIcryFXFZdko3cTZ6SZ8pNH5zsUt6C8ZZzz2U5YSFISPbPj1esQzczttZs5GDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:32:12.813925Z"},"content_sha256":"c199cead90435f11cd4756b036b2f40b983ec08d2a80db27e9469b680e416556","schema_version":"1.0","event_id":"sha256:c199cead90435f11cd4756b036b2f40b983ec08d2a80db27e9469b680e416556"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GMIXMOTRRVO23RZY6IW2TIBWQ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Binary Coding for $q^+$ -state Data Embedding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Han-Zhou Wu","submitted_at":"2016-04-11T20:37:15Z","abstract_excerpt":"In steganography, we always hope to maximize the embedding payload subject to an upper-bounded distortion. We need suitable distortion measurement to evaluate the embedding impact. However, different distortion functions exposes different levels of distortion evaluation, implying that we have different optimization distributions by applying different distortion functions. In applications, the embedding distortion is caused by a certain number of embedding operations. Instead of a predefined distortion, we actually utilize a number of modifications to embed as many message bits as possible as l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03140","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":""},"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":"2026-05-18T01:17:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kaXKBD8ZXAitR1w0Iv0hs2TkgAEc/n6jZS1h0I8CbcAFSqwZxVqRqOQ6lU8g/YN1+Fv96tkHWJyaw7Sdh8V2BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:32:12.814263Z"},"content_sha256":"7ce455ddc3be7a1f516348d5048f970db9fb2a6949bc2341e503c24c0f2d35a7","schema_version":"1.0","event_id":"sha256:7ce455ddc3be7a1f516348d5048f970db9fb2a6949bc2341e503c24c0f2d35a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GMIXMOTRRVO23RZY6IW2TIBWQ6/bundle.json","state_url":"https://pith.science/pith/GMIXMOTRRVO23RZY6IW2TIBWQ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GMIXMOTRRVO23RZY6IW2TIBWQ6/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":"2026-06-29T11:32:12Z","links":{"resolver":"https://pith.science/pith/GMIXMOTRRVO23RZY6IW2TIBWQ6","bundle":"https://pith.science/pith/GMIXMOTRRVO23RZY6IW2TIBWQ6/bundle.json","state":"https://pith.science/pith/GMIXMOTRRVO23RZY6IW2TIBWQ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GMIXMOTRRVO23RZY6IW2TIBWQ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GMIXMOTRRVO23RZY6IW2TIBWQ6","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":"5aa6925cece265709d6643eeac66ce4ab24eb17fd38a6d6bf0ac5f1553607514","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-11T20:37:15Z","title_canon_sha256":"5c9064bc0013e596749daefb3becb79c922dcd9ee82b8484b32707635be17447"},"schema_version":"1.0","source":{"id":"1604.03140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03140","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03140v1","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03140","created_at":"2026-05-18T01:17:16Z"},{"alias_kind":"pith_short_12","alias_value":"GMIXMOTRRVO2","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GMIXMOTRRVO23RZY","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GMIXMOTR","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:7ce455ddc3be7a1f516348d5048f970db9fb2a6949bc2341e503c24c0f2d35a7","target":"graph","created_at":"2026-05-18T01:17:16Z","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":"In steganography, we always hope to maximize the embedding payload subject to an upper-bounded distortion. We need suitable distortion measurement to evaluate the embedding impact. However, different distortion functions exposes different levels of distortion evaluation, implying that we have different optimization distributions by applying different distortion functions. In applications, the embedding distortion is caused by a certain number of embedding operations. Instead of a predefined distortion, we actually utilize a number of modifications to embed as many message bits as possible as l","authors_text":"Han-Zhou Wu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-11T20:37:15Z","title":"Optimal Binary Coding for $q^+$ -state Data Embedding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03140","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:c199cead90435f11cd4756b036b2f40b983ec08d2a80db27e9469b680e416556","target":"record","created_at":"2026-05-18T01:17:16Z","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":"5aa6925cece265709d6643eeac66ce4ab24eb17fd38a6d6bf0ac5f1553607514","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-11T20:37:15Z","title_canon_sha256":"5c9064bc0013e596749daefb3becb79c922dcd9ee82b8484b32707635be17447"},"schema_version":"1.0","source":{"id":"1604.03140","kind":"arxiv","version":1}},"canonical_sha256":"3311763a718d5dadc738f22da9a03687ac739f316a632bf3f0ef8e3be42534f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3311763a718d5dadc738f22da9a03687ac739f316a632bf3f0ef8e3be42534f3","first_computed_at":"2026-05-18T01:17:16.367965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:16.367965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ULJ/dH2LSblAoX/trYYsZCUpSFG5SA1ME+0qaLRjtPN7a52eyP8C+ogureNPBG9b+yKJzo++JJrBmPRoYgf/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:16.368782Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c199cead90435f11cd4756b036b2f40b983ec08d2a80db27e9469b680e416556","sha256:7ce455ddc3be7a1f516348d5048f970db9fb2a6949bc2341e503c24c0f2d35a7"],"state_sha256":"3fb664752fc9fa765b79b4e5f7d7ea7c2b8cee5a1ead17973ef5e72df3481b6b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h0GIRh8R8ElkkWaMrmviTKvu2iHwCCe0VRf8C5XbxKIxwDSt+LzoEwJiTjP0ClpNcQj7T+oPDlWa0IFHH19xBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T11:32:12.816117Z","bundle_sha256":"9760599314dfc0c590bf019d46e4dec875bd53acc5bd7a80510cf07d17f9a9a7"}}