{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:WNWCYCMPQYSJAMFSZJNOTRAUON","short_pith_number":"pith:WNWCYCMP","canonical_record":{"source":{"id":"1011.1607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-11-07T03:49:55Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f84f59d3fe75e617671edcc6ab7dfeb4e7d4a0cd247a402414a156ee962569e0","abstract_canon_sha256":"ffb10bc38ad9b6cf261e90c59594ba479b3b562594bfb42ee7ddac64cee70660"},"schema_version":"1.0"},"canonical_sha256":"b36c2c098f86249030b2ca5ae9c41473695b2672d4464c84cb734edd936b6419","source":{"kind":"arxiv","id":"1011.1607","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1607","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1607v2","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1607","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"pith_short_12","alias_value":"WNWCYCMPQYSJ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WNWCYCMPQYSJAMFS","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WNWCYCMP","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:WNWCYCMPQYSJAMFSZJNOTRAUON","target":"record","payload":{"canonical_record":{"source":{"id":"1011.1607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-11-07T03:49:55Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f84f59d3fe75e617671edcc6ab7dfeb4e7d4a0cd247a402414a156ee962569e0","abstract_canon_sha256":"ffb10bc38ad9b6cf261e90c59594ba479b3b562594bfb42ee7ddac64cee70660"},"schema_version":"1.0"},"canonical_sha256":"b36c2c098f86249030b2ca5ae9c41473695b2672d4464c84cb734edd936b6419","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:57.584997Z","signature_b64":"u4osmxLPG7uFAA1hUTgauSaN+/hW5FaQEWLh/0qbvecZMWSvcDFL/9bJgL26zgLVRbEkNun6AbjNAi/LFb5AAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b36c2c098f86249030b2ca5ae9c41473695b2672d4464c84cb734edd936b6419","last_reissued_at":"2026-05-18T00:57:57.584622Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:57.584622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.1607","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":"2026-05-18T00:57:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ygVCiz4L3q17oHf86ECwULK0I7y3WZQF5dr9AMOxGfp+z1FC0BDk3/aMdMpXAryoNUAumUAAsckN06UTmYKnAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:20:35.615023Z"},"content_sha256":"ed64781f7d0f1f4fa8aa6954df417c709a0abfbff1c2928cb4031fbf92229e3b","schema_version":"1.0","event_id":"sha256:ed64781f7d0f1f4fa8aa6954df417c709a0abfbff1c2928cb4031fbf92229e3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:WNWCYCMPQYSJAMFSZJNOTRAUON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"To Feed or Not to Feed Back","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Haim Permuter, Himanshu Asnani, Tsachy Weissman","submitted_at":"2010-11-07T03:49:55Z","abstract_excerpt":"We study the communication over Finite State Channels (FSCs), where the encoder and the decoder can control the availability or the quality of the noise-free feedback. Specifically, the instantaneous feedback is a function of an action taken by the encoder, an action taken by the decoder, and the channel output. Encoder and decoder actions take values in finite alphabets, and may be subject to average cost constraints. We prove capacity results for such a setting by constructing a sequence of achievable rates, using a simple scheme based on 'code tree' generation, that generates channel input "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1607","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":"2026-05-18T00:57:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W8/VvTkExQp/oI/DG2tkH6tKj38fnegNyV891/FlBh3+3lhPhpZm88S/THJtIhwoYu9qrc8NaGUNco2XPPWcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:20:35.615647Z"},"content_sha256":"b4052ce2617c89a93a753e58b5c065d9b65dfa94f25f73bf8f53556ae4eea470","schema_version":"1.0","event_id":"sha256:b4052ce2617c89a93a753e58b5c065d9b65dfa94f25f73bf8f53556ae4eea470"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WNWCYCMPQYSJAMFSZJNOTRAUON/bundle.json","state_url":"https://pith.science/pith/WNWCYCMPQYSJAMFSZJNOTRAUON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WNWCYCMPQYSJAMFSZJNOTRAUON/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":"2026-05-31T15:20:35Z","links":{"resolver":"https://pith.science/pith/WNWCYCMPQYSJAMFSZJNOTRAUON","bundle":"https://pith.science/pith/WNWCYCMPQYSJAMFSZJNOTRAUON/bundle.json","state":"https://pith.science/pith/WNWCYCMPQYSJAMFSZJNOTRAUON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WNWCYCMPQYSJAMFSZJNOTRAUON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WNWCYCMPQYSJAMFSZJNOTRAUON","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":"ffb10bc38ad9b6cf261e90c59594ba479b3b562594bfb42ee7ddac64cee70660","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-11-07T03:49:55Z","title_canon_sha256":"f84f59d3fe75e617671edcc6ab7dfeb4e7d4a0cd247a402414a156ee962569e0"},"schema_version":"1.0","source":{"id":"1011.1607","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1607","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1607v2","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1607","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"pith_short_12","alias_value":"WNWCYCMPQYSJ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WNWCYCMPQYSJAMFS","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WNWCYCMP","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:b4052ce2617c89a93a753e58b5c065d9b65dfa94f25f73bf8f53556ae4eea470","target":"graph","created_at":"2026-05-18T00:57:57Z","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":"We study the communication over Finite State Channels (FSCs), where the encoder and the decoder can control the availability or the quality of the noise-free feedback. Specifically, the instantaneous feedback is a function of an action taken by the encoder, an action taken by the decoder, and the channel output. Encoder and decoder actions take values in finite alphabets, and may be subject to average cost constraints. We prove capacity results for such a setting by constructing a sequence of achievable rates, using a simple scheme based on 'code tree' generation, that generates channel input ","authors_text":"Haim Permuter, Himanshu Asnani, Tsachy Weissman","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-11-07T03:49:55Z","title":"To Feed or Not to Feed Back"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1607","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:ed64781f7d0f1f4fa8aa6954df417c709a0abfbff1c2928cb4031fbf92229e3b","target":"record","created_at":"2026-05-18T00:57:57Z","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":"ffb10bc38ad9b6cf261e90c59594ba479b3b562594bfb42ee7ddac64cee70660","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-11-07T03:49:55Z","title_canon_sha256":"f84f59d3fe75e617671edcc6ab7dfeb4e7d4a0cd247a402414a156ee962569e0"},"schema_version":"1.0","source":{"id":"1011.1607","kind":"arxiv","version":2}},"canonical_sha256":"b36c2c098f86249030b2ca5ae9c41473695b2672d4464c84cb734edd936b6419","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b36c2c098f86249030b2ca5ae9c41473695b2672d4464c84cb734edd936b6419","first_computed_at":"2026-05-18T00:57:57.584622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:57.584622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u4osmxLPG7uFAA1hUTgauSaN+/hW5FaQEWLh/0qbvecZMWSvcDFL/9bJgL26zgLVRbEkNun6AbjNAi/LFb5AAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:57.584997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.1607","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed64781f7d0f1f4fa8aa6954df417c709a0abfbff1c2928cb4031fbf92229e3b","sha256:b4052ce2617c89a93a753e58b5c065d9b65dfa94f25f73bf8f53556ae4eea470"],"state_sha256":"6ff8c0159d815fce46729ceb4e6970df23a3e6a60f72fa1891dceb70206fda73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ou6OTMlzBO8PD97zUln77dzmpcdi9t10x9bTYom3wL+vPk62GUEzdOKJeKyUAiEgE6EwcAQ+jTKezjRyfuvVDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:20:35.618476Z","bundle_sha256":"cacf0005a909775e333d4a8465d9779da62b4cf7f9da6e28a0771c7cfb1fab1e"}}