{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZX4P7HRESCPSTAXWWBTJL6TERU","short_pith_number":"pith:ZX4P7HRE","canonical_record":{"source":{"id":"2504.14087","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-04-18T21:47:46Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cfe20ea0cb8b4214da9947688662e6fff737cbbcbf02b977fb96854de343fa19","abstract_canon_sha256":"25c9c191276367bd1eeb416706af13d1cd6c2af6fe67c961dec506d5ad0816f5"},"schema_version":"1.0"},"canonical_sha256":"cdf8ff9e24909f2982f6b06695fa648d0b5219650b5795a347c8ce83a374b057","source":{"kind":"arxiv","id":"2504.14087","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14087","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14087v2","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14087","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZX4P7HRESCPS","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"ZX4P7HRESCPSTAXW","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"ZX4P7HRE","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZX4P7HRESCPSTAXWWBTJL6TERU","target":"record","payload":{"canonical_record":{"source":{"id":"2504.14087","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-04-18T21:47:46Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cfe20ea0cb8b4214da9947688662e6fff737cbbcbf02b977fb96854de343fa19","abstract_canon_sha256":"25c9c191276367bd1eeb416706af13d1cd6c2af6fe67c961dec506d5ad0816f5"},"schema_version":"1.0"},"canonical_sha256":"cdf8ff9e24909f2982f6b06695fa648d0b5219650b5795a347c8ce83a374b057","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:39.143307Z","signature_b64":"MSvlNH6xAQGsL+mKnMrbCQPRqeQ/5N/CVYYssub4WfhVhGrA2Nlwotu5jQCmI5cWYbb7so7BBp21wRzcQZdSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdf8ff9e24909f2982f6b06695fa648d0b5219650b5795a347c8ce83a374b057","last_reissued_at":"2026-05-18T02:44:39.142874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:39.142874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.14087","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":"2026-05-18T02:44:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7BCMkYB+Bk3bmuXyijzd+9vQrQc5DGeanCFcMwFzYWvSWoO6G9aqetWEm1z1Cs+4bErDdStzjwYSraTaZ8MfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:56:09.497255Z"},"content_sha256":"96bbbd1a2365195ddcdaa93eb512ae59aea865a9543cc5ccc24e835cb457d68c","schema_version":"1.0","event_id":"sha256:96bbbd1a2365195ddcdaa93eb512ae59aea865a9543cc5ccc24e835cb457d68c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZX4P7HRESCPSTAXWWBTJL6TERU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Channels with Input-Correlated Synchronization Errors","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jo\\~ao Ribeiro, Roni Con","submitted_at":"2025-04-18T21:47:46Z","abstract_excerpt":"\"Independent and identically distributed\" errors do not accurately capture the noisy behavior of real-world data storage and information transmission technologies. Motivated by this, we study channels with input-correlated synchronization errors, meaning that the distribution of synchronization errors (such as deletions and insertions) applied to the $i$-th input $x_i$ may depend on the whole input string $x$.\n  We begin by identifying conditions on the input-correlated synchronization channel under which the channel's information capacity is achieved by a stationary ergodic input source and i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14087","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":""},"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":"2026-05-18T02:44:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ql/SIP/Vnvj8Dih1CcioQAn4FZocVpQeUfnptbIiSh2nxSBMbYibiZmKtNZl8ka6R1baxKisolLmAB7tCiEiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:56:09.497938Z"},"content_sha256":"8b2cd67a41399eced4deb0dd16fb591cb8c8e0fede71f52e46d9014c673698a5","schema_version":"1.0","event_id":"sha256:8b2cd67a41399eced4deb0dd16fb591cb8c8e0fede71f52e46d9014c673698a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZX4P7HRESCPSTAXWWBTJL6TERU/bundle.json","state_url":"https://pith.science/pith/ZX4P7HRESCPSTAXWWBTJL6TERU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZX4P7HRESCPSTAXWWBTJL6TERU/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":"2026-06-30T16:56:09Z","links":{"resolver":"https://pith.science/pith/ZX4P7HRESCPSTAXWWBTJL6TERU","bundle":"https://pith.science/pith/ZX4P7HRESCPSTAXWWBTJL6TERU/bundle.json","state":"https://pith.science/pith/ZX4P7HRESCPSTAXWWBTJL6TERU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZX4P7HRESCPSTAXWWBTJL6TERU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZX4P7HRESCPSTAXWWBTJL6TERU","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":"25c9c191276367bd1eeb416706af13d1cd6c2af6fe67c961dec506d5ad0816f5","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-04-18T21:47:46Z","title_canon_sha256":"cfe20ea0cb8b4214da9947688662e6fff737cbbcbf02b977fb96854de343fa19"},"schema_version":"1.0","source":{"id":"2504.14087","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14087","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14087v2","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14087","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZX4P7HRESCPS","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"ZX4P7HRESCPSTAXW","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"ZX4P7HRE","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:8b2cd67a41399eced4deb0dd16fb591cb8c8e0fede71f52e46d9014c673698a5","target":"graph","created_at":"2026-05-18T02:44:39Z","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":"\"Independent and identically distributed\" errors do not accurately capture the noisy behavior of real-world data storage and information transmission technologies. Motivated by this, we study channels with input-correlated synchronization errors, meaning that the distribution of synchronization errors (such as deletions and insertions) applied to the $i$-th input $x_i$ may depend on the whole input string $x$.\n  We begin by identifying conditions on the input-correlated synchronization channel under which the channel's information capacity is achieved by a stationary ergodic input source and i","authors_text":"Jo\\~ao Ribeiro, Roni Con","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-04-18T21:47:46Z","title":"Channels with Input-Correlated Synchronization Errors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14087","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":"sha256:96bbbd1a2365195ddcdaa93eb512ae59aea865a9543cc5ccc24e835cb457d68c","target":"record","created_at":"2026-05-18T02:44:39Z","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":"25c9c191276367bd1eeb416706af13d1cd6c2af6fe67c961dec506d5ad0816f5","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-04-18T21:47:46Z","title_canon_sha256":"cfe20ea0cb8b4214da9947688662e6fff737cbbcbf02b977fb96854de343fa19"},"schema_version":"1.0","source":{"id":"2504.14087","kind":"arxiv","version":2}},"canonical_sha256":"cdf8ff9e24909f2982f6b06695fa648d0b5219650b5795a347c8ce83a374b057","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdf8ff9e24909f2982f6b06695fa648d0b5219650b5795a347c8ce83a374b057","first_computed_at":"2026-05-18T02:44:39.142874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:39.142874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MSvlNH6xAQGsL+mKnMrbCQPRqeQ/5N/CVYYssub4WfhVhGrA2Nlwotu5jQCmI5cWYbb7so7BBp21wRzcQZdSDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:39.143307Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.14087","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96bbbd1a2365195ddcdaa93eb512ae59aea865a9543cc5ccc24e835cb457d68c","sha256:8b2cd67a41399eced4deb0dd16fb591cb8c8e0fede71f52e46d9014c673698a5"],"state_sha256":"f6f383b63e1afe288f1548ec1c30417bd2f14de0235644c51eab2561b4203579"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLTAFx4ciGiRfIdyfocppy4mayA9bYGBnJD6rpVPlicTGPbZqE0XKfnpvmEkpGNt/16vFoL/8MJTB14DEXoaCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T16:56:09.502296Z","bundle_sha256":"6f0f3ff0a0a129cb6c6904c44b4aa212658aef54958bf5a3980277405d5211c2"}}