{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:STOMWM3A7LFAFFTZ43V7IWHHPQ","short_pith_number":"pith:STOMWM3A","canonical_record":{"source":{"id":"1010.4876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-23T13:06:47Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a8a299754482b79e42fa2a8195e753362d37a2073929addac4261fa03b8169a1","abstract_canon_sha256":"c8433de385e4788d39cbe14bbccdda22d96709ae0bf1402d69f6b42277e1df7b"},"schema_version":"1.0"},"canonical_sha256":"94dccb3360faca029679e6ebf458e77c11aa01af8f396d8649b8f6ae5247a892","source":{"kind":"arxiv","id":"1010.4876","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4876","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4876v2","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4876","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"pith_short_12","alias_value":"STOMWM3A7LFA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"STOMWM3A7LFAFFTZ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"STOMWM3A","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:STOMWM3A7LFAFFTZ43V7IWHHPQ","target":"record","payload":{"canonical_record":{"source":{"id":"1010.4876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-23T13:06:47Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a8a299754482b79e42fa2a8195e753362d37a2073929addac4261fa03b8169a1","abstract_canon_sha256":"c8433de385e4788d39cbe14bbccdda22d96709ae0bf1402d69f6b42277e1df7b"},"schema_version":"1.0"},"canonical_sha256":"94dccb3360faca029679e6ebf458e77c11aa01af8f396d8649b8f6ae5247a892","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:56.520888Z","signature_b64":"/gHVLaHWYMlw1bWVTnIZquo5ZAULbAMZsFRqyn7AuUppxUk24cM5oDwJ31WdCUCfaqdE2FtmyoFkEShfFOMfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94dccb3360faca029679e6ebf458e77c11aa01af8f396d8649b8f6ae5247a892","last_reissued_at":"2026-05-18T04:27:56.520270Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:56.520270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.4876","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":"2026-05-18T04:27:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MC6qBDIZYNgj3ZGph1RuZufY9Ih3rCuqOJ9wAtUkBZ9mw7Owx+oibfDkmXAuCLvTyNqVWgoEbTgc3hz5pJk0AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T21:37:48.322399Z"},"content_sha256":"ed77861bcdd8b609be26224d8299fba2400e0917270ddf8ed13efe05986e8672","schema_version":"1.0","event_id":"sha256:ed77861bcdd8b609be26224d8299fba2400e0917270ddf8ed13efe05986e8672"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:STOMWM3A7LFAFFTZ43V7IWHHPQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Packet Scheduling on an Energy Harvesting Broadcast Link","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Elif Uysal-Biyikoglu, Hakan Erkal, Mehmet Akif Antepli","submitted_at":"2010-10-23T13:06:47Z","abstract_excerpt":"The minimization of transmission completion time for a given number of bits per user in an energy harvesting communication system, where energy harvesting instants are known in an offline manner is considered. An achievable rate region with structural properties satisfied by the 2-user AWGN Broadcast Channel capacity region is assumed. It is shown that even though all data are available at the beginning, a non-negative amount of energy from each energy harvest is deferred for later use such that the transmit power starts at its lowest value and rises as time progresses. The optimal scheduler e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4876","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":"2026-05-18T04:27:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JIRqHr7aZENZUq9hQf95EvFQQDBdT2fEC/OZ25VMz1Rt1xNfdu/Jn439f+FMJ3HRuPMTMwopQg++Oq6Qw4OVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T21:37:48.323155Z"},"content_sha256":"773e8653f608566ac5c7e56ca2149caf0ee3e041125aec48bc5f208ae97cc5c8","schema_version":"1.0","event_id":"sha256:773e8653f608566ac5c7e56ca2149caf0ee3e041125aec48bc5f208ae97cc5c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/STOMWM3A7LFAFFTZ43V7IWHHPQ/bundle.json","state_url":"https://pith.science/pith/STOMWM3A7LFAFFTZ43V7IWHHPQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/STOMWM3A7LFAFFTZ43V7IWHHPQ/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":"2026-06-09T21:37:48Z","links":{"resolver":"https://pith.science/pith/STOMWM3A7LFAFFTZ43V7IWHHPQ","bundle":"https://pith.science/pith/STOMWM3A7LFAFFTZ43V7IWHHPQ/bundle.json","state":"https://pith.science/pith/STOMWM3A7LFAFFTZ43V7IWHHPQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/STOMWM3A7LFAFFTZ43V7IWHHPQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:STOMWM3A7LFAFFTZ43V7IWHHPQ","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":"c8433de385e4788d39cbe14bbccdda22d96709ae0bf1402d69f6b42277e1df7b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-23T13:06:47Z","title_canon_sha256":"a8a299754482b79e42fa2a8195e753362d37a2073929addac4261fa03b8169a1"},"schema_version":"1.0","source":{"id":"1010.4876","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4876","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4876v2","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4876","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"pith_short_12","alias_value":"STOMWM3A7LFA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"STOMWM3A7LFAFFTZ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"STOMWM3A","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:773e8653f608566ac5c7e56ca2149caf0ee3e041125aec48bc5f208ae97cc5c8","target":"graph","created_at":"2026-05-18T04:27:56Z","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":"The minimization of transmission completion time for a given number of bits per user in an energy harvesting communication system, where energy harvesting instants are known in an offline manner is considered. An achievable rate region with structural properties satisfied by the 2-user AWGN Broadcast Channel capacity region is assumed. It is shown that even though all data are available at the beginning, a non-negative amount of energy from each energy harvest is deferred for later use such that the transmit power starts at its lowest value and rises as time progresses. The optimal scheduler e","authors_text":"Elif Uysal-Biyikoglu, Hakan Erkal, Mehmet Akif Antepli","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-23T13:06:47Z","title":"Optimal Packet Scheduling on an Energy Harvesting Broadcast Link"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4876","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:ed77861bcdd8b609be26224d8299fba2400e0917270ddf8ed13efe05986e8672","target":"record","created_at":"2026-05-18T04:27:56Z","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":"c8433de385e4788d39cbe14bbccdda22d96709ae0bf1402d69f6b42277e1df7b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-23T13:06:47Z","title_canon_sha256":"a8a299754482b79e42fa2a8195e753362d37a2073929addac4261fa03b8169a1"},"schema_version":"1.0","source":{"id":"1010.4876","kind":"arxiv","version":2}},"canonical_sha256":"94dccb3360faca029679e6ebf458e77c11aa01af8f396d8649b8f6ae5247a892","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94dccb3360faca029679e6ebf458e77c11aa01af8f396d8649b8f6ae5247a892","first_computed_at":"2026-05-18T04:27:56.520270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:56.520270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/gHVLaHWYMlw1bWVTnIZquo5ZAULbAMZsFRqyn7AuUppxUk24cM5oDwJ31WdCUCfaqdE2FtmyoFkEShfFOMfAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:56.520888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4876","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed77861bcdd8b609be26224d8299fba2400e0917270ddf8ed13efe05986e8672","sha256:773e8653f608566ac5c7e56ca2149caf0ee3e041125aec48bc5f208ae97cc5c8"],"state_sha256":"4c615fe19c37a9d7c2979c047436208edefdc730d9124361b0300dd897b3c139"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qNlk5Eb/oPTaJ9gIYCmbb7NU9mAn+D7+mM1ASN0/CE/AwmGcNh4JDXyX6ejR26zo+J+sCAvPkxdkic6NJ9dfAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T21:37:48.327912Z","bundle_sha256":"2d698c05928c6095fa4ceace8593138cec194d42a768a53cd47a6a699aedd4aa"}}