{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:N2YPBWT7JTHN5ITQCWZIK5MTCN","short_pith_number":"pith:N2YPBWT7","canonical_record":{"source":{"id":"1408.1788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-08T08:50:47Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"fa696b7f6d54451280eb5a8acb449e53e5f2384ce2eedd22367c024789a4bf35","abstract_canon_sha256":"3235c19a290ca3ea6b7c1485880cff00984248f758c3c3c3762765c5d4bf08a5"},"schema_version":"1.0"},"canonical_sha256":"6eb0f0da7f4ccedea27015b2857593136849f3b2b371a88cc758f0070fd054c0","source":{"kind":"arxiv","id":"1408.1788","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1788","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1788v1","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1788","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"N2YPBWT7JTHN","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N2YPBWT7JTHN5ITQ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N2YPBWT7","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:N2YPBWT7JTHN5ITQCWZIK5MTCN","target":"record","payload":{"canonical_record":{"source":{"id":"1408.1788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-08T08:50:47Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"fa696b7f6d54451280eb5a8acb449e53e5f2384ce2eedd22367c024789a4bf35","abstract_canon_sha256":"3235c19a290ca3ea6b7c1485880cff00984248f758c3c3c3762765c5d4bf08a5"},"schema_version":"1.0"},"canonical_sha256":"6eb0f0da7f4ccedea27015b2857593136849f3b2b371a88cc758f0070fd054c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:51.587240Z","signature_b64":"Ebudi4/hJ5pZMeJLkIyvRt32aEUv1sIN8NkFuoerHktnDQMcYI45ecx1Iep+qOY1nCMdXep4MeMjMes8Y9x0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6eb0f0da7f4ccedea27015b2857593136849f3b2b371a88cc758f0070fd054c0","last_reissued_at":"2026-05-18T00:57:51.586640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:51.586640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.1788","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":"2026-05-18T00:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+V4UTs2QqouxXGGSjSUozgVnzh7L0HlQbKm2nLLpxPGhNU1zs9jtlnV9tvOYKTGCsxwHTw2KCLCOuIuLk72nAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:54:12.705587Z"},"content_sha256":"91728bbee4269ee33869f967c6834abbd93a998b0df04aec8b408a5aaae7e846","schema_version":"1.0","event_id":"sha256:91728bbee4269ee33869f967c6834abbd93a998b0df04aec8b408a5aaae7e846"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:N2YPBWT7JTHN5ITQCWZIK5MTCN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed power control over interference channels using ACK/NACK feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Leonardo Marchetti, Luca Sanguinetti, Merouane Debbah, Riccardo Andreotti","submitted_at":"2014-08-08T08:50:47Z","abstract_excerpt":"In this work, we consider a network composed of several single-antenna transmitter-receiver pairs in which each pair aims at selfishly minimizing the power required to achieve a given signal-to-interference-plus-noise ratio. This is obtained modeling the transmitter-receiver pairs as rational agents that engage in a non-cooperative game. Capitalizing on the well-known results on the existence and structure of the generalized Nash equilibrium (GNE) point of the underlying game, a low complexity, iterative and distributed algorithm is derived to let each terminal reach the GNE using only a limit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1788","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":""},"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":"2026-05-18T00:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/g1MwQq1s4UcS2nA4xs1lRdsX4LodesXLbd12DYn6I2ct5UHSpAD0do9gmZSPKxXtDHtAzjXuLt0KDLzHTbkCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:54:12.705931Z"},"content_sha256":"ed02253d59bb4c0606936309ff2c1d79c5f31fd49499c718220b5dacdcc6310d","schema_version":"1.0","event_id":"sha256:ed02253d59bb4c0606936309ff2c1d79c5f31fd49499c718220b5dacdcc6310d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2YPBWT7JTHN5ITQCWZIK5MTCN/bundle.json","state_url":"https://pith.science/pith/N2YPBWT7JTHN5ITQCWZIK5MTCN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2YPBWT7JTHN5ITQCWZIK5MTCN/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":"2026-06-02T10:54:12Z","links":{"resolver":"https://pith.science/pith/N2YPBWT7JTHN5ITQCWZIK5MTCN","bundle":"https://pith.science/pith/N2YPBWT7JTHN5ITQCWZIK5MTCN/bundle.json","state":"https://pith.science/pith/N2YPBWT7JTHN5ITQCWZIK5MTCN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2YPBWT7JTHN5ITQCWZIK5MTCN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:N2YPBWT7JTHN5ITQCWZIK5MTCN","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":"3235c19a290ca3ea6b7c1485880cff00984248f758c3c3c3762765c5d4bf08a5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-08T08:50:47Z","title_canon_sha256":"fa696b7f6d54451280eb5a8acb449e53e5f2384ce2eedd22367c024789a4bf35"},"schema_version":"1.0","source":{"id":"1408.1788","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1788","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1788v1","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1788","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"N2YPBWT7JTHN","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N2YPBWT7JTHN5ITQ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N2YPBWT7","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:ed02253d59bb4c0606936309ff2c1d79c5f31fd49499c718220b5dacdcc6310d","target":"graph","created_at":"2026-05-18T00:57:51Z","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":"In this work, we consider a network composed of several single-antenna transmitter-receiver pairs in which each pair aims at selfishly minimizing the power required to achieve a given signal-to-interference-plus-noise ratio. This is obtained modeling the transmitter-receiver pairs as rational agents that engage in a non-cooperative game. Capitalizing on the well-known results on the existence and structure of the generalized Nash equilibrium (GNE) point of the underlying game, a low complexity, iterative and distributed algorithm is derived to let each terminal reach the GNE using only a limit","authors_text":"Leonardo Marchetti, Luca Sanguinetti, Merouane Debbah, Riccardo Andreotti","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-08T08:50:47Z","title":"Distributed power control over interference channels using ACK/NACK feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1788","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":"sha256:91728bbee4269ee33869f967c6834abbd93a998b0df04aec8b408a5aaae7e846","target":"record","created_at":"2026-05-18T00:57:51Z","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":"3235c19a290ca3ea6b7c1485880cff00984248f758c3c3c3762765c5d4bf08a5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-08T08:50:47Z","title_canon_sha256":"fa696b7f6d54451280eb5a8acb449e53e5f2384ce2eedd22367c024789a4bf35"},"schema_version":"1.0","source":{"id":"1408.1788","kind":"arxiv","version":1}},"canonical_sha256":"6eb0f0da7f4ccedea27015b2857593136849f3b2b371a88cc758f0070fd054c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6eb0f0da7f4ccedea27015b2857593136849f3b2b371a88cc758f0070fd054c0","first_computed_at":"2026-05-18T00:57:51.586640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:51.586640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ebudi4/hJ5pZMeJLkIyvRt32aEUv1sIN8NkFuoerHktnDQMcYI45ecx1Iep+qOY1nCMdXep4MeMjMes8Y9x0DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:51.587240Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1788","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91728bbee4269ee33869f967c6834abbd93a998b0df04aec8b408a5aaae7e846","sha256:ed02253d59bb4c0606936309ff2c1d79c5f31fd49499c718220b5dacdcc6310d"],"state_sha256":"2beff3e3a28b625670c3f65f6340163be0929cdc6d3fef1f13137ae2916a6074"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tVgX0dlBUQf60nbGwzBpLRwHqAgmz6f9CxGI7Q+Q1Spv/drmygqJsrh/GhYKZsFZ+nwDEgC0jf5ZrrL41a4WDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:54:12.707865Z","bundle_sha256":"f14ff8b2867cb156749b00cb1fe20b07bff26c23e4c5fa900e2143c9e4c10b99"}}