{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:FQTYSXCRGZP7YTUCUO4JKXNTSU","short_pith_number":"pith:FQTYSXCR","canonical_record":{"source":{"id":"2212.12886","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2022-12-25T10:29:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a962908aca650585f4441a76209903fd1a2ad8a05a3c529ee6a916f0aaea8c83","abstract_canon_sha256":"53bb2efffe00f84190ac76cbcd8af7dae7152d72e6bec2e4e25c909af13dd36b"},"schema_version":"1.0"},"canonical_sha256":"2c27895c51365ffc4e82a3b8955db395317e6149780a1df4dcdcbed88f7be596","source":{"kind":"arxiv","id":"2212.12886","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.12886","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"2212.12886v1","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.12886","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"FQTYSXCRGZP7","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"FQTYSXCRGZP7YTUC","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"FQTYSXCR","created_at":"2026-07-05T05:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:FQTYSXCRGZP7YTUCUO4JKXNTSU","target":"record","payload":{"canonical_record":{"source":{"id":"2212.12886","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2022-12-25T10:29:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a962908aca650585f4441a76209903fd1a2ad8a05a3c529ee6a916f0aaea8c83","abstract_canon_sha256":"53bb2efffe00f84190ac76cbcd8af7dae7152d72e6bec2e4e25c909af13dd36b"},"schema_version":"1.0"},"canonical_sha256":"2c27895c51365ffc4e82a3b8955db395317e6149780a1df4dcdcbed88f7be596","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:28:14.532346Z","signature_b64":"QBTgYcx1sgwBRQ1Q3gUlFdekGCkWv5pdc9CiI/QcFd3ELpWhS+c5qlTrUA5W7m5RNFW2esz2EowTaUPAOekPCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c27895c51365ffc4e82a3b8955db395317e6149780a1df4dcdcbed88f7be596","last_reissued_at":"2026-07-05T05:28:14.531949Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:28:14.531949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.12886","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":"2026-07-05T05:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nxEowtaJsRpHDqjavLcDF+sPIQSRGenWok1PNFlVBMM5R99zjxU0Lj9ABAzV6piBAEw0MFEwZa47AoaxbQYJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T04:06:55.074770Z"},"content_sha256":"ac2a13f64a5533722ed44d2a6a1483f436012ed42e3e3b1af724eca437921dbb","schema_version":"1.0","event_id":"sha256:ac2a13f64a5533722ed44d2a6a1483f436012ed42e3e3b1af724eca437921dbb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:FQTYSXCRGZP7YTUCUO4JKXNTSU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-State Channels with Feedback and State Known at the Encoder","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Eli Shemuel, Haim H. Permuter, Oron Sabag","submitted_at":"2022-12-25T10:29:26Z","abstract_excerpt":"We consider finite state channels (FSCs) with feedback and state information known causally at the encoder. This setting is quite general and includes: a memoryless channel with i.i.d. state (the Shannon strategy), Markovian states that include look-ahead (LA) access to the state and energy harvesting. We characterize the feedback capacity of the general setting as the directed information between auxiliary random variables with memory to the channel outputs. We also propose two methods for computing the feedback capacity: (i) formulating an infinite-horizon average-reward dynamic program; and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.12886","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.12886/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":"2026-07-05T05:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uCcprlGiu/w/IIs0JfVR3Lunl/2dQYu31Mz9A2/a6Xjky4ICSItiL0kUL3wKmITSzSQR63oQfc+QSprCUwdSBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T04:06:55.075272Z"},"content_sha256":"da759344fb1342193245adc49433e2e9dbaf1a1b63c42242b2f720ad260ba1da","schema_version":"1.0","event_id":"sha256:da759344fb1342193245adc49433e2e9dbaf1a1b63c42242b2f720ad260ba1da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FQTYSXCRGZP7YTUCUO4JKXNTSU/bundle.json","state_url":"https://pith.science/pith/FQTYSXCRGZP7YTUCUO4JKXNTSU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FQTYSXCRGZP7YTUCUO4JKXNTSU/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":"2026-08-20T04:06:55Z","links":{"resolver":"https://pith.science/pith/FQTYSXCRGZP7YTUCUO4JKXNTSU","bundle":"https://pith.science/pith/FQTYSXCRGZP7YTUCUO4JKXNTSU/bundle.json","state":"https://pith.science/pith/FQTYSXCRGZP7YTUCUO4JKXNTSU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FQTYSXCRGZP7YTUCUO4JKXNTSU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FQTYSXCRGZP7YTUCUO4JKXNTSU","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":"53bb2efffe00f84190ac76cbcd8af7dae7152d72e6bec2e4e25c909af13dd36b","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2022-12-25T10:29:26Z","title_canon_sha256":"a962908aca650585f4441a76209903fd1a2ad8a05a3c529ee6a916f0aaea8c83"},"schema_version":"1.0","source":{"id":"2212.12886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.12886","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"2212.12886v1","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.12886","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"FQTYSXCRGZP7","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"FQTYSXCRGZP7YTUC","created_at":"2026-07-05T05:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"FQTYSXCR","created_at":"2026-07-05T05:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:da759344fb1342193245adc49433e2e9dbaf1a1b63c42242b2f720ad260ba1da","target":"graph","created_at":"2026-07-05T05:28:14Z","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/2212.12886/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider finite state channels (FSCs) with feedback and state information known causally at the encoder. This setting is quite general and includes: a memoryless channel with i.i.d. state (the Shannon strategy), Markovian states that include look-ahead (LA) access to the state and energy harvesting. We characterize the feedback capacity of the general setting as the directed information between auxiliary random variables with memory to the channel outputs. We also propose two methods for computing the feedback capacity: (i) formulating an infinite-horizon average-reward dynamic program; and","authors_text":"Eli Shemuel, Haim H. Permuter, Oron Sabag","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2022-12-25T10:29:26Z","title":"Finite-State Channels with Feedback and State Known at the Encoder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.12886","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:ac2a13f64a5533722ed44d2a6a1483f436012ed42e3e3b1af724eca437921dbb","target":"record","created_at":"2026-07-05T05:28:14Z","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":"53bb2efffe00f84190ac76cbcd8af7dae7152d72e6bec2e4e25c909af13dd36b","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2022-12-25T10:29:26Z","title_canon_sha256":"a962908aca650585f4441a76209903fd1a2ad8a05a3c529ee6a916f0aaea8c83"},"schema_version":"1.0","source":{"id":"2212.12886","kind":"arxiv","version":1}},"canonical_sha256":"2c27895c51365ffc4e82a3b8955db395317e6149780a1df4dcdcbed88f7be596","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c27895c51365ffc4e82a3b8955db395317e6149780a1df4dcdcbed88f7be596","first_computed_at":"2026-07-05T05:28:14.531949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:28:14.531949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QBTgYcx1sgwBRQ1Q3gUlFdekGCkWv5pdc9CiI/QcFd3ELpWhS+c5qlTrUA5W7m5RNFW2esz2EowTaUPAOekPCg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:28:14.532346Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.12886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac2a13f64a5533722ed44d2a6a1483f436012ed42e3e3b1af724eca437921dbb","sha256:da759344fb1342193245adc49433e2e9dbaf1a1b63c42242b2f720ad260ba1da"],"state_sha256":"f71e0a42a2826b27eec031af934ca95a7e9f9173f80f3c211a0ef50ddf8545df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f6aLADn5Y+ERtfFLcUKCy1ouzNJOvw23pqOHReoiBTFPd7/1+ItI1GgbaMWehWsXJU95OB3ecCiPvy3ltDzUBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T04:06:55.080222Z","bundle_sha256":"fcac05afc01bc84a917f6f356b46709d0be83189c180f9db026ade9a8f788177"}}