{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XDZZRBYY7QDX3PXKOOVX35SO6D","short_pith_number":"pith:XDZZRBYY","canonical_record":{"source":{"id":"1408.6385","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-27T11:27:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ef780d0a59e50ed8d31f9eb6c3c47b5b8ff6ab3abd58ff2a87d1c6fe4e6b828e","abstract_canon_sha256":"cef8a249b6c5f6eb5ff76015016dff9f78aa90ad2c5eaa44065e2319563daa44"},"schema_version":"1.0"},"canonical_sha256":"b8f3988718fc077dbeea73ab7df64ef0df8d86c23a83f06f2a68ee3f284e4dd3","source":{"kind":"arxiv","id":"1408.6385","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6385","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6385v2","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6385","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"pith_short_12","alias_value":"XDZZRBYY7QDX","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XDZZRBYY7QDX3PXK","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XDZZRBYY","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XDZZRBYY7QDX3PXKOOVX35SO6D","target":"record","payload":{"canonical_record":{"source":{"id":"1408.6385","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-27T11:27:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ef780d0a59e50ed8d31f9eb6c3c47b5b8ff6ab3abd58ff2a87d1c6fe4e6b828e","abstract_canon_sha256":"cef8a249b6c5f6eb5ff76015016dff9f78aa90ad2c5eaa44065e2319563daa44"},"schema_version":"1.0"},"canonical_sha256":"b8f3988718fc077dbeea73ab7df64ef0df8d86c23a83f06f2a68ee3f284e4dd3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:40.484778Z","signature_b64":"tHmjuubnxU9mW5/Pl87USjVc5yjfmHN5+fyul2raRI5QztCrThw2KS2+3g9eADKWyjyK1lRbPnhkFcxowqE6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8f3988718fc077dbeea73ab7df64ef0df8d86c23a83f06f2a68ee3f284e4dd3","last_reissued_at":"2026-05-18T02:28:40.484204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:40.484204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.6385","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":"2026-05-18T02:28:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9yRMKHuU+qzZhLrLc92dLfZR2Xyf8P38Kw1yye6vtJfN0QG2Jd/tAjskp8ivTDIAp5z593ZRMx52dPJ3mr9zBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:52:08.132630Z"},"content_sha256":"56fe8ad355a242892dae98a81fba36b72ad67e3c3b39048c5d236a4c50a31382","schema_version":"1.0","event_id":"sha256:56fe8ad355a242892dae98a81fba36b72ad67e3c3b39048c5d236a4c50a31382"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XDZZRBYY7QDX3PXKOOVX35SO6D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Long term Throughput and Approximate Capacity of Transmitter-Receiver Energy Harvesting Channel with Fading","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jainam Doshi, Rahul Vaze","submitted_at":"2014-08-27T11:27:59Z","abstract_excerpt":"We first consider an energy harvesting channel with fading, where only the transmitter harvests energy from natural sources. We bound the optimal long term throughput by a constant for a class of energy arrival distributions. The proposed method also gives a constant approximation to the capacity of the energy harvesting channel with fading. Next, we consider a more general system where both the transmitter and the receiver employ energy harvesting to power themselves. In this case, we show that finding an approximation to the optimal long term throughput is far more difficult, and identify a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6385","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":"2026-05-18T02:28:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dpfh9x3gHCWr3FwANzwPwcVT7ICVTGNrx/LXQiSHBgLKvdi+ry/xfO1WVxiEPne01WTjTJTJ5KxZf642OdW+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:52:08.133223Z"},"content_sha256":"6220d0bf5783dd7c7af2575bb0ebc822b793b8e4d1ed6eee4b4f671573914257","schema_version":"1.0","event_id":"sha256:6220d0bf5783dd7c7af2575bb0ebc822b793b8e4d1ed6eee4b4f671573914257"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDZZRBYY7QDX3PXKOOVX35SO6D/bundle.json","state_url":"https://pith.science/pith/XDZZRBYY7QDX3PXKOOVX35SO6D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDZZRBYY7QDX3PXKOOVX35SO6D/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":"2026-06-25T22:52:08Z","links":{"resolver":"https://pith.science/pith/XDZZRBYY7QDX3PXKOOVX35SO6D","bundle":"https://pith.science/pith/XDZZRBYY7QDX3PXKOOVX35SO6D/bundle.json","state":"https://pith.science/pith/XDZZRBYY7QDX3PXKOOVX35SO6D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDZZRBYY7QDX3PXKOOVX35SO6D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XDZZRBYY7QDX3PXKOOVX35SO6D","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":"cef8a249b6c5f6eb5ff76015016dff9f78aa90ad2c5eaa44065e2319563daa44","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-27T11:27:59Z","title_canon_sha256":"ef780d0a59e50ed8d31f9eb6c3c47b5b8ff6ab3abd58ff2a87d1c6fe4e6b828e"},"schema_version":"1.0","source":{"id":"1408.6385","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6385","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6385v2","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6385","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"pith_short_12","alias_value":"XDZZRBYY7QDX","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XDZZRBYY7QDX3PXK","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XDZZRBYY","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:6220d0bf5783dd7c7af2575bb0ebc822b793b8e4d1ed6eee4b4f671573914257","target":"graph","created_at":"2026-05-18T02:28:40Z","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 first consider an energy harvesting channel with fading, where only the transmitter harvests energy from natural sources. We bound the optimal long term throughput by a constant for a class of energy arrival distributions. The proposed method also gives a constant approximation to the capacity of the energy harvesting channel with fading. Next, we consider a more general system where both the transmitter and the receiver employ energy harvesting to power themselves. In this case, we show that finding an approximation to the optimal long term throughput is far more difficult, and identify a ","authors_text":"Jainam Doshi, Rahul Vaze","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-27T11:27:59Z","title":"Long term Throughput and Approximate Capacity of Transmitter-Receiver Energy Harvesting Channel with Fading"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6385","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":"sha256:56fe8ad355a242892dae98a81fba36b72ad67e3c3b39048c5d236a4c50a31382","target":"record","created_at":"2026-05-18T02:28:40Z","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":"cef8a249b6c5f6eb5ff76015016dff9f78aa90ad2c5eaa44065e2319563daa44","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-27T11:27:59Z","title_canon_sha256":"ef780d0a59e50ed8d31f9eb6c3c47b5b8ff6ab3abd58ff2a87d1c6fe4e6b828e"},"schema_version":"1.0","source":{"id":"1408.6385","kind":"arxiv","version":2}},"canonical_sha256":"b8f3988718fc077dbeea73ab7df64ef0df8d86c23a83f06f2a68ee3f284e4dd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8f3988718fc077dbeea73ab7df64ef0df8d86c23a83f06f2a68ee3f284e4dd3","first_computed_at":"2026-05-18T02:28:40.484204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:40.484204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tHmjuubnxU9mW5/Pl87USjVc5yjfmHN5+fyul2raRI5QztCrThw2KS2+3g9eADKWyjyK1lRbPnhkFcxowqE6DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:40.484778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6385","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56fe8ad355a242892dae98a81fba36b72ad67e3c3b39048c5d236a4c50a31382","sha256:6220d0bf5783dd7c7af2575bb0ebc822b793b8e4d1ed6eee4b4f671573914257"],"state_sha256":"98af05b2754b139c62ae8bfbd6cb15dfe5448a92ba6351640dee2925a6275a46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rUHLzhvtphyEwKbRRSeZ/jbAudZ1qCj03Onz6eCKGWWsVFPpSLg3fjL2yYa7uIlrKUu5jd9oFTRPgpGmSM0bAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T22:52:08.135987Z","bundle_sha256":"475aa6d9ab740c9196c53b32206b3f2b2eea8f53ea1f21f74c4b3730ad998ada"}}