{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:PTALU573POBF2AYJJDSB73UKGI","short_pith_number":"pith:PTALU573","canonical_record":{"source":{"id":"2108.06007","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2021-08-13T00:55:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6bbbc8f3a10dc5dd04552e4fe9fc4e678d5a1e8d6c161306fcbd4dffc44a695b","abstract_canon_sha256":"e4dfb3f00eb657c1985c6764021ba24aed6e50ab62b34df3fd50af740e94103a"},"schema_version":"1.0"},"canonical_sha256":"7cc0ba77fb7b825d030948e41fee8a320ef397afe4e5f41f756daa9896624906","source":{"kind":"arxiv","id":"2108.06007","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.06007","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"2108.06007v1","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.06007","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"PTALU573POBF","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"pith_short_16","alias_value":"PTALU573POBF2AYJ","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"pith_short_8","alias_value":"PTALU573","created_at":"2026-07-05T03:05:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:PTALU573POBF2AYJJDSB73UKGI","target":"record","payload":{"canonical_record":{"source":{"id":"2108.06007","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2021-08-13T00:55:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6bbbc8f3a10dc5dd04552e4fe9fc4e678d5a1e8d6c161306fcbd4dffc44a695b","abstract_canon_sha256":"e4dfb3f00eb657c1985c6764021ba24aed6e50ab62b34df3fd50af740e94103a"},"schema_version":"1.0"},"canonical_sha256":"7cc0ba77fb7b825d030948e41fee8a320ef397afe4e5f41f756daa9896624906","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:05:36.468254Z","signature_b64":"N8tCdRbBdpOyLSQuwRLlMZjqcPz9FnZMhewaAPfk2PMW/q4LYUp2/cJ2rAuhbr7b5uP9ccVVLidzIwFHEQOaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cc0ba77fb7b825d030948e41fee8a320ef397afe4e5f41f756daa9896624906","last_reissued_at":"2026-07-05T03:05:36.467694Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:05:36.467694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2108.06007","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":"2026-07-05T03:05:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OQIsYHyIPlM8QFOVQwTw9b75c0T32odGzgOcYbJSPuFqSrXdTJUIFIjNz8NfxKA8SS5SQB4ZACXOfWZ7BrJSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T08:35:53.549583Z"},"content_sha256":"830fd5e3d009e405e3bf968e9ad5692f6e584b71a6704e351348c0eaaa590f9c","schema_version":"1.0","event_id":"sha256:830fd5e3d009e405e3bf968e9ad5692f6e584b71a6704e351348c0eaaa590f9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:PTALU573POBF2AYJJDSB73UKGI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sleep, Sense or Transmit: Energy-Age Tradeoff for Status Update with Two-Thresholds Optimal Policy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jianhang Zhu, Jie Gong, Xiang Chen, Xiao Ma","submitted_at":"2021-08-13T00:55:35Z","abstract_excerpt":"Age-of-Information (AoI), or simply age, which measures the data freshness, is essential for real-time Internet-of-Things (IoT) applications. On the other hand, energy saving is urgently required by many energy-constrained IoT devices. This paper studies the energy-age tradeoff for status update from a sensor to a monitor over an error-prone channel. The sensor can sleep, sense and transmit a new update, or retransmit by considering both sensing energy and transmit energy. An infinite-horizon average cost problem is formulated as a Markov decision process (MDP) with the objective of minimizing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.06007","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/2108.06007/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":"2026-07-05T03:05:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0wWcNNTwIiGhAy2amJP9HU+finCC9sWnyPUIJQsMN+OJ9qxq7Ua4+Qjh8g1vSVv70+iuZLNv5CDPMs4Z/2fLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T08:35:53.549966Z"},"content_sha256":"30bc7cc6dbcd40bc1e7e78d57eef908234d7909b6782d28edef3ac427d98dec1","schema_version":"1.0","event_id":"sha256:30bc7cc6dbcd40bc1e7e78d57eef908234d7909b6782d28edef3ac427d98dec1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PTALU573POBF2AYJJDSB73UKGI/bundle.json","state_url":"https://pith.science/pith/PTALU573POBF2AYJJDSB73UKGI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PTALU573POBF2AYJJDSB73UKGI/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":"2026-07-10T08:35:53Z","links":{"resolver":"https://pith.science/pith/PTALU573POBF2AYJJDSB73UKGI","bundle":"https://pith.science/pith/PTALU573POBF2AYJJDSB73UKGI/bundle.json","state":"https://pith.science/pith/PTALU573POBF2AYJJDSB73UKGI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PTALU573POBF2AYJJDSB73UKGI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:PTALU573POBF2AYJJDSB73UKGI","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":"e4dfb3f00eb657c1985c6764021ba24aed6e50ab62b34df3fd50af740e94103a","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2021-08-13T00:55:35Z","title_canon_sha256":"6bbbc8f3a10dc5dd04552e4fe9fc4e678d5a1e8d6c161306fcbd4dffc44a695b"},"schema_version":"1.0","source":{"id":"2108.06007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.06007","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"2108.06007v1","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.06007","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"PTALU573POBF","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"pith_short_16","alias_value":"PTALU573POBF2AYJ","created_at":"2026-07-05T03:05:36Z"},{"alias_kind":"pith_short_8","alias_value":"PTALU573","created_at":"2026-07-05T03:05:36Z"}],"graph_snapshots":[{"event_id":"sha256:30bc7cc6dbcd40bc1e7e78d57eef908234d7909b6782d28edef3ac427d98dec1","target":"graph","created_at":"2026-07-05T03:05:36Z","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/2108.06007/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Age-of-Information (AoI), or simply age, which measures the data freshness, is essential for real-time Internet-of-Things (IoT) applications. On the other hand, energy saving is urgently required by many energy-constrained IoT devices. This paper studies the energy-age tradeoff for status update from a sensor to a monitor over an error-prone channel. The sensor can sleep, sense and transmit a new update, or retransmit by considering both sensing energy and transmit energy. An infinite-horizon average cost problem is formulated as a Markov decision process (MDP) with the objective of minimizing","authors_text":"Jianhang Zhu, Jie Gong, Xiang Chen, Xiao Ma","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2021-08-13T00:55:35Z","title":"Sleep, Sense or Transmit: Energy-Age Tradeoff for Status Update with Two-Thresholds Optimal Policy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.06007","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":"sha256:830fd5e3d009e405e3bf968e9ad5692f6e584b71a6704e351348c0eaaa590f9c","target":"record","created_at":"2026-07-05T03:05:36Z","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":"e4dfb3f00eb657c1985c6764021ba24aed6e50ab62b34df3fd50af740e94103a","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2021-08-13T00:55:35Z","title_canon_sha256":"6bbbc8f3a10dc5dd04552e4fe9fc4e678d5a1e8d6c161306fcbd4dffc44a695b"},"schema_version":"1.0","source":{"id":"2108.06007","kind":"arxiv","version":1}},"canonical_sha256":"7cc0ba77fb7b825d030948e41fee8a320ef397afe4e5f41f756daa9896624906","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cc0ba77fb7b825d030948e41fee8a320ef397afe4e5f41f756daa9896624906","first_computed_at":"2026-07-05T03:05:36.467694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:05:36.467694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N8tCdRbBdpOyLSQuwRLlMZjqcPz9FnZMhewaAPfk2PMW/q4LYUp2/cJ2rAuhbr7b5uP9ccVVLidzIwFHEQOaAg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:05:36.468254Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.06007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:830fd5e3d009e405e3bf968e9ad5692f6e584b71a6704e351348c0eaaa590f9c","sha256:30bc7cc6dbcd40bc1e7e78d57eef908234d7909b6782d28edef3ac427d98dec1"],"state_sha256":"fa1add6b252f6e86c41adeebff0bb096e09d90a66815b69f200adc80d4f4f37c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W8KhBKB4vrSSNstsowLxaHKaVyBY1bcoZix1Vwp6bMPtHkZDEXS5UvYTelk1V7IARY7sqpcfQHlbIFan5gelDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T08:35:53.552153Z","bundle_sha256":"bab78340848f1ade2ed8d455237b7f00c74368422a127885ed01111b4b89ed39"}}