{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7VJED2OH3QJ5HS7AYDFXCY6D6I","short_pith_number":"pith:7VJED2OH","canonical_record":{"source":{"id":"1706.03183","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-10T05:13:41Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"31897119ad8df547d7dc83461ef4895b6e2974099af3c9e756738b6ff7380f47","abstract_canon_sha256":"0e670a715e0f06b9073f387aeb108296f1f9e43291be0acc6ca17dd549934f15"},"schema_version":"1.0"},"canonical_sha256":"fd5241e9c7dc13d3cbe0c0cb7163c3f23331fd5db733cd68277325e7511b7a06","source":{"kind":"arxiv","id":"1706.03183","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03183","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03183v3","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03183","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"7VJED2OH3QJ5","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7VJED2OH3QJ5HS7A","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7VJED2OH","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7VJED2OH3QJ5HS7AYDFXCY6D6I","target":"record","payload":{"canonical_record":{"source":{"id":"1706.03183","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-10T05:13:41Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"31897119ad8df547d7dc83461ef4895b6e2974099af3c9e756738b6ff7380f47","abstract_canon_sha256":"0e670a715e0f06b9073f387aeb108296f1f9e43291be0acc6ca17dd549934f15"},"schema_version":"1.0"},"canonical_sha256":"fd5241e9c7dc13d3cbe0c0cb7163c3f23331fd5db733cd68277325e7511b7a06","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:03.164758Z","signature_b64":"LyP5jqm6wJXKv4uu7zxY3GUWyUOJBVDO6GZDEfE6ihi2M9ozXzI0M3hGd6LHdO27d6WUHDFj4EY2KPDF0zRCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd5241e9c7dc13d3cbe0c0cb7163c3f23331fd5db733cd68277325e7511b7a06","last_reissued_at":"2026-05-18T00:16:03.164266Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:03.164266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.03183","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BVWzb4Dj6XouoMOxCa2hmxKtGHTXaRB0f3NUxt2+cgmlI0Bfsh8XLSyGwTHOdfQOex53VEck5NNXgkuoBrinCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:31:18.118911Z"},"content_sha256":"184d841bc1b20b8740acb4f292529e94e7dd4eb4b3e4620af39b45ab9a21b82d","schema_version":"1.0","event_id":"sha256:184d841bc1b20b8740acb4f292529e94e7dd4eb4b3e4620af39b45ab9a21b82d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7VJED2OH3QJ5HS7AYDFXCY6D6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Battery Recharge Time of a Stochastic Linear and Non-Linear Energy Harvesting System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ekram Hossain, Sudarshan Guruacharya, Vandana Mittal","submitted_at":"2017-06-10T05:13:41Z","abstract_excerpt":"Systems harvesting energy from a stochastic source have been widely studied in the literature. However, we are not aware of any work that deals with the time it takes for a battery to recharge up to a given level, when the energy source is discrete stochastic. This letter aims to examine the recharge time of a perfect battery. We examine the cases when the energy arrival is a Poisson process, and more generally, a renewal process. We obtain formulas for the distribution of the recharge time as well as the expected value of the recharge time. Using these, we find the switching time of the syste"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03183","kind":"arxiv","version":3},"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":"2026-05-18T00:16:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OotIb1ssnnsd6IF2h5dEXhA4I3OkPCJDvrU/1uu4ypPMVgEaV8XVZGn/GFG1bB6EEwp2qd1sF67xvFdSNz5vAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:31:18.119265Z"},"content_sha256":"e6b03ddfc4da0d5f2fff4a8a2226daf4ddee1ef9ae9d2af68219f3f136c70ea6","schema_version":"1.0","event_id":"sha256:e6b03ddfc4da0d5f2fff4a8a2226daf4ddee1ef9ae9d2af68219f3f136c70ea6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7VJED2OH3QJ5HS7AYDFXCY6D6I/bundle.json","state_url":"https://pith.science/pith/7VJED2OH3QJ5HS7AYDFXCY6D6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7VJED2OH3QJ5HS7AYDFXCY6D6I/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":"2026-06-01T12:31:18Z","links":{"resolver":"https://pith.science/pith/7VJED2OH3QJ5HS7AYDFXCY6D6I","bundle":"https://pith.science/pith/7VJED2OH3QJ5HS7AYDFXCY6D6I/bundle.json","state":"https://pith.science/pith/7VJED2OH3QJ5HS7AYDFXCY6D6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7VJED2OH3QJ5HS7AYDFXCY6D6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7VJED2OH3QJ5HS7AYDFXCY6D6I","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":"0e670a715e0f06b9073f387aeb108296f1f9e43291be0acc6ca17dd549934f15","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-10T05:13:41Z","title_canon_sha256":"31897119ad8df547d7dc83461ef4895b6e2974099af3c9e756738b6ff7380f47"},"schema_version":"1.0","source":{"id":"1706.03183","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03183","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03183v3","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03183","created_at":"2026-05-18T00:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"7VJED2OH3QJ5","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7VJED2OH3QJ5HS7A","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7VJED2OH","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:e6b03ddfc4da0d5f2fff4a8a2226daf4ddee1ef9ae9d2af68219f3f136c70ea6","target":"graph","created_at":"2026-05-18T00:16:03Z","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":"Systems harvesting energy from a stochastic source have been widely studied in the literature. However, we are not aware of any work that deals with the time it takes for a battery to recharge up to a given level, when the energy source is discrete stochastic. This letter aims to examine the recharge time of a perfect battery. We examine the cases when the energy arrival is a Poisson process, and more generally, a renewal process. We obtain formulas for the distribution of the recharge time as well as the expected value of the recharge time. Using these, we find the switching time of the syste","authors_text":"Ekram Hossain, Sudarshan Guruacharya, Vandana Mittal","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-10T05:13:41Z","title":"Battery Recharge Time of a Stochastic Linear and Non-Linear Energy Harvesting System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03183","kind":"arxiv","version":3},"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":"sha256:184d841bc1b20b8740acb4f292529e94e7dd4eb4b3e4620af39b45ab9a21b82d","target":"record","created_at":"2026-05-18T00:16:03Z","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":"0e670a715e0f06b9073f387aeb108296f1f9e43291be0acc6ca17dd549934f15","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-10T05:13:41Z","title_canon_sha256":"31897119ad8df547d7dc83461ef4895b6e2974099af3c9e756738b6ff7380f47"},"schema_version":"1.0","source":{"id":"1706.03183","kind":"arxiv","version":3}},"canonical_sha256":"fd5241e9c7dc13d3cbe0c0cb7163c3f23331fd5db733cd68277325e7511b7a06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd5241e9c7dc13d3cbe0c0cb7163c3f23331fd5db733cd68277325e7511b7a06","first_computed_at":"2026-05-18T00:16:03.164266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:03.164266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LyP5jqm6wJXKv4uu7zxY3GUWyUOJBVDO6GZDEfE6ihi2M9ozXzI0M3hGd6LHdO27d6WUHDFj4EY2KPDF0zRCDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:03.164758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.03183","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:184d841bc1b20b8740acb4f292529e94e7dd4eb4b3e4620af39b45ab9a21b82d","sha256:e6b03ddfc4da0d5f2fff4a8a2226daf4ddee1ef9ae9d2af68219f3f136c70ea6"],"state_sha256":"cde69692e5de871b5e0747ca1c70d02a00e85b6e0db21452d3c77a994e289799"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LML3wU5sLOPQ7dOEHg7v3cRQKrYVhZKhCqXYQtFBZCUF871YmfW4gohakTOWPkEwyx6JXxPLZJkZnJQF9RD3AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:31:18.121223Z","bundle_sha256":"55fe22e32329bd79947c06c2886891fb8210c70a909437d880feb6e0cd651ed3"}}