{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YQD6V6RYGCQJR6O7VVBWFFMPS6","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":"45c39aac84fbcd07fbbf43a70d42e61242e19535dced95a51d7c78f70750f881","cross_cats_sorted":["cs.GT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-28T22:10:53Z","title_canon_sha256":"c6e589f7af616d8ac074fc445f89926211f9d02a85208b45004210ed2c7cfd80"},"schema_version":"1.0","source":{"id":"1301.6793","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6793","created_at":"2026-05-18T03:35:12Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6793v1","created_at":"2026-05-18T03:35:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6793","created_at":"2026-05-18T03:35:12Z"},{"alias_kind":"pith_short_12","alias_value":"YQD6V6RYGCQJ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YQD6V6RYGCQJR6O7","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YQD6V6RY","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:43450846edc12427b23a0a54c25d3756b4bf680825a0593bbb9d5e57ca76beb4","target":"graph","created_at":"2026-05-18T03:35:12Z","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 tackles the problem of energy-efficient distributed power control in wireless networks with a large number of transmitters. The problem is modeled by a dynamic game. Each transmitter-receiver communication is characterized by a state given by the available energy and/or the individual channel state and whose evolution is governed by certain dynamics. Since equilibrium analysis in such a (stochastic) game is generally difficult and even impossible, the problem is approximated by exploiting the large system assumption. Under an appropriate exchangeability assumption, the corresponding ","authors_text":"Fran\\c{c}ois M\\'eriaux, Samson Lasaulce, Vineeth Varma","cross_cats":["cs.GT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-28T22:10:53Z","title":"Mean Field Energy Games in Wireless Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6793","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:afedf9b08df3a7a20034a3716f0ed8d26c24a65f1160a2206d6b53f0a591aa19","target":"record","created_at":"2026-05-18T03:35:12Z","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":"45c39aac84fbcd07fbbf43a70d42e61242e19535dced95a51d7c78f70750f881","cross_cats_sorted":["cs.GT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-28T22:10:53Z","title_canon_sha256":"c6e589f7af616d8ac074fc445f89926211f9d02a85208b45004210ed2c7cfd80"},"schema_version":"1.0","source":{"id":"1301.6793","kind":"arxiv","version":1}},"canonical_sha256":"c407eafa3830a098f9dfad4362958f979d33ea2b93e27a64d76e91dbb7a30e97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c407eafa3830a098f9dfad4362958f979d33ea2b93e27a64d76e91dbb7a30e97","first_computed_at":"2026-05-18T03:35:12.321235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:12.321235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R31cFxFCkBityZZIfX17bl4U5y8X+mtzbOggBSj3k/IL4HN2YAYlQT4MMa4IZWj6L1Eg3PaJDAOyfXzN7+ZHDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:12.321996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6793","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afedf9b08df3a7a20034a3716f0ed8d26c24a65f1160a2206d6b53f0a591aa19","sha256:43450846edc12427b23a0a54c25d3756b4bf680825a0593bbb9d5e57ca76beb4"],"state_sha256":"e023b488c7e22e5656fb537347cd6fcdf11be41905e616fcef46c7449be6c4b2"}