{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AVNQTIR7UCCPF3PJZGMJ6THMS2","short_pith_number":"pith:AVNQTIR7","canonical_record":{"source":{"id":"1301.1661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T20:15:36Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8463c3dc52da630d5e2c6955d59fcd37bf94770ecc49b789f37709d409e164b7","abstract_canon_sha256":"14c6278d3a7d3d309b0e3aa60e184861f0dd4d287127f60cb3eab8cbbfdc1167"},"schema_version":"1.0"},"canonical_sha256":"055b09a23fa084f2ede9c9989f4cec9680db4a28362baae56e9cdf2c4c5ff211","source":{"kind":"arxiv","id":"1301.1661","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1661","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1661v2","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1661","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"pith_short_12","alias_value":"AVNQTIR7UCCP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AVNQTIR7UCCPF3PJ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AVNQTIR7","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AVNQTIR7UCCPF3PJZGMJ6THMS2","target":"record","payload":{"canonical_record":{"source":{"id":"1301.1661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T20:15:36Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8463c3dc52da630d5e2c6955d59fcd37bf94770ecc49b789f37709d409e164b7","abstract_canon_sha256":"14c6278d3a7d3d309b0e3aa60e184861f0dd4d287127f60cb3eab8cbbfdc1167"},"schema_version":"1.0"},"canonical_sha256":"055b09a23fa084f2ede9c9989f4cec9680db4a28362baae56e9cdf2c4c5ff211","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:29.305214Z","signature_b64":"wYxCayIiUIM7+TUVIZn/xF5Peuw4dZqQcyCXW8cgrLng4tQqTbZ49tkGIKeOzi9MZHOdcr+2yJ5YF1spODqyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"055b09a23fa084f2ede9c9989f4cec9680db4a28362baae56e9cdf2c4c5ff211","last_reissued_at":"2026-05-18T03:18:29.304628Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:29.304628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.1661","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":"2026-05-18T03:18:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XOUJpAxZpOqPdPM+qhP51Lm0uv9hYhj7MHTnSW6DdSJVIzH9kqqyTW1Z8Ubt1lTjRTBdQYONl5IYWdUsieh8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:24:48.360733Z"},"content_sha256":"f8d4311b2b568f58bd1abcaad5d9f828265253e9b39c980f2f124e1416e19c08","schema_version":"1.0","event_id":"sha256:f8d4311b2b568f58bd1abcaad5d9f828265253e9b39c980f2f124e1416e19c08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AVNQTIR7UCCPF3PJZGMJ6THMS2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transmission Schemes for Gaussian Interference Channels with Transmitter Processing Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Elza Erkip, Xi Liu","submitted_at":"2013-01-08T20:15:36Z","abstract_excerpt":"This work considers communication over Gaussian interference channels with processing energy cost, which explicitly takes into account the energy expended for processing when transmitters are on. In the presence of processing energy cost, transmitting all the time as in the conventional no-cost case is no longer optimal. For a two-user Gaussian interference channel with processing energy cost, assuming that the on-off states of transmitters are not utilized for signaling, several transmission schemes with varying complexities are proposed and their sum rates are compared with an interference-f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1661","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":"2026-05-18T03:18:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aioMAoEFLhXqW/uzfQMnfxAtD7jRrCeNKd5MpkL5f2zCbr5ByIqfFttanpbadcjdP1nNn/qz9ifWlUY7wpU2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:24:48.361437Z"},"content_sha256":"77bb7079d65baf6cc2695301606c6522a3c257872ca1441803bc53cf49a250ec","schema_version":"1.0","event_id":"sha256:77bb7079d65baf6cc2695301606c6522a3c257872ca1441803bc53cf49a250ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AVNQTIR7UCCPF3PJZGMJ6THMS2/bundle.json","state_url":"https://pith.science/pith/AVNQTIR7UCCPF3PJZGMJ6THMS2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AVNQTIR7UCCPF3PJZGMJ6THMS2/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":"2026-06-11T02:24:48Z","links":{"resolver":"https://pith.science/pith/AVNQTIR7UCCPF3PJZGMJ6THMS2","bundle":"https://pith.science/pith/AVNQTIR7UCCPF3PJZGMJ6THMS2/bundle.json","state":"https://pith.science/pith/AVNQTIR7UCCPF3PJZGMJ6THMS2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AVNQTIR7UCCPF3PJZGMJ6THMS2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AVNQTIR7UCCPF3PJZGMJ6THMS2","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":"14c6278d3a7d3d309b0e3aa60e184861f0dd4d287127f60cb3eab8cbbfdc1167","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T20:15:36Z","title_canon_sha256":"8463c3dc52da630d5e2c6955d59fcd37bf94770ecc49b789f37709d409e164b7"},"schema_version":"1.0","source":{"id":"1301.1661","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1661","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1661v2","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1661","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"pith_short_12","alias_value":"AVNQTIR7UCCP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AVNQTIR7UCCPF3PJ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AVNQTIR7","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:77bb7079d65baf6cc2695301606c6522a3c257872ca1441803bc53cf49a250ec","target":"graph","created_at":"2026-05-18T03:18:29Z","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":"This work considers communication over Gaussian interference channels with processing energy cost, which explicitly takes into account the energy expended for processing when transmitters are on. In the presence of processing energy cost, transmitting all the time as in the conventional no-cost case is no longer optimal. For a two-user Gaussian interference channel with processing energy cost, assuming that the on-off states of transmitters are not utilized for signaling, several transmission schemes with varying complexities are proposed and their sum rates are compared with an interference-f","authors_text":"Elza Erkip, Xi Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T20:15:36Z","title":"Transmission Schemes for Gaussian Interference Channels with Transmitter Processing Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1661","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:f8d4311b2b568f58bd1abcaad5d9f828265253e9b39c980f2f124e1416e19c08","target":"record","created_at":"2026-05-18T03:18:29Z","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":"14c6278d3a7d3d309b0e3aa60e184861f0dd4d287127f60cb3eab8cbbfdc1167","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-08T20:15:36Z","title_canon_sha256":"8463c3dc52da630d5e2c6955d59fcd37bf94770ecc49b789f37709d409e164b7"},"schema_version":"1.0","source":{"id":"1301.1661","kind":"arxiv","version":2}},"canonical_sha256":"055b09a23fa084f2ede9c9989f4cec9680db4a28362baae56e9cdf2c4c5ff211","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"055b09a23fa084f2ede9c9989f4cec9680db4a28362baae56e9cdf2c4c5ff211","first_computed_at":"2026-05-18T03:18:29.304628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:29.304628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wYxCayIiUIM7+TUVIZn/xF5Peuw4dZqQcyCXW8cgrLng4tQqTbZ49tkGIKeOzi9MZHOdcr+2yJ5YF1spODqyBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:29.305214Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1661","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8d4311b2b568f58bd1abcaad5d9f828265253e9b39c980f2f124e1416e19c08","sha256:77bb7079d65baf6cc2695301606c6522a3c257872ca1441803bc53cf49a250ec"],"state_sha256":"2f9d6a50995b816c76d6d7e65908767bd6be89cf5412dd6f8cc1cbf2e0d56d9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yz2TpBL22X4/RvxUVCjKWHEoaeQHUzEDqgEb+nudtd20wET37lWeUFQMiffqTMaz9UQP5q5KVk3DH5ccWihsAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:24:48.365039Z","bundle_sha256":"a586476e6872347e857cff9faa31d21e4fb6611060afc02f510fe72ad685d81c"}}