{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VDSUEH45WC43PZLIGJ6VF74Z3W","short_pith_number":"pith:VDSUEH45","canonical_record":{"source":{"id":"2607.01769","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-07-02T06:35:36Z","cross_cats_sorted":[],"title_canon_sha256":"3eb60af2520679d4feabe19f48cc0fe56b9e26deb4dda877def38f12c73dae25","abstract_canon_sha256":"59d0325e3d218014b5f9743f2f91e97229b983af028c084128a713f548ce2803"},"schema_version":"1.0"},"canonical_sha256":"a8e5421f9db0b9b7e568327d52ff99ddbb6631c7607bd15a06cd92c386dbac92","source":{"kind":"arxiv","id":"2607.01769","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01769","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01769v1","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01769","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"pith_short_12","alias_value":"VDSUEH45WC43","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"pith_short_16","alias_value":"VDSUEH45WC43PZLI","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"pith_short_8","alias_value":"VDSUEH45","created_at":"2026-07-03T01:17:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VDSUEH45WC43PZLIGJ6VF74Z3W","target":"record","payload":{"canonical_record":{"source":{"id":"2607.01769","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-07-02T06:35:36Z","cross_cats_sorted":[],"title_canon_sha256":"3eb60af2520679d4feabe19f48cc0fe56b9e26deb4dda877def38f12c73dae25","abstract_canon_sha256":"59d0325e3d218014b5f9743f2f91e97229b983af028c084128a713f548ce2803"},"schema_version":"1.0"},"canonical_sha256":"a8e5421f9db0b9b7e568327d52ff99ddbb6631c7607bd15a06cd92c386dbac92","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T01:17:29.123378Z","signature_b64":"tX0xb7uh2O/qTwDfuXTKZMymXCOnhdew+17y8i1T+/RjJSUvGufD3iiZcucfhMG1H77uSVOwTPFl3WrdrCGkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8e5421f9db0b9b7e568327d52ff99ddbb6631c7607bd15a06cd92c386dbac92","last_reissued_at":"2026-07-03T01:17:29.122948Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T01:17:29.122948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.01769","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":"2026-07-03T01:17:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oDDc2yzBZZ0NGWXMreIJXjTdaQYjhfigZvWMegyhvxufVRZQdC7saJhRm4LETdRTOdqnPp7Mb0fUF3Ve12F5Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:48:42.268150Z"},"content_sha256":"9fd11e6d380615caa9b5efb3dcb4471f9f40850184e06ad6b6147f5ae865fa2e","schema_version":"1.0","event_id":"sha256:9fd11e6d380615caa9b5efb3dcb4471f9f40850184e06ad6b6147f5ae865fa2e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VDSUEH45WC43PZLIGJ6VF74Z3W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rethinking Fractional Programming for Joint Uplink Scheduling and Power Control in Multicell Wireless Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Giuseppe Caire, Shi Jin, Xinping Yi, Zihan Jiao","submitted_at":"2026-07-02T06:35:36Z","abstract_excerpt":"This paper investigates the joint uplink scheduling and power control problem in a coordinated multicell wireless network, where at most one single-antenna user is allowed to access the single-antenna base station in each cell simultaneously. The resulting weighted sum-rate (WSR) maximization problem is a mixed discrete-continuous, nonconvex optimization problem that is notoriously difficult to solve directly. Classical fractional programming (FP) methods tackle this problem by leveraging the Lagrangian dual transform (LDT) followed by the quadratic transform (QT), yielding a tractable closed-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01769","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.01769/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-03T01:17:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5ehdhlEliCcEwCK735IlWUB5+2pp0TZqNcaEm7B/xoT/LESwTLKrjoRCcV1zdTXpMauLqe4RZEJaSDLWZhm7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:48:42.268544Z"},"content_sha256":"22f6f1cfce218bf4033ed1e216dbe843c62ec665322534cf5ca158cf1a93e3c3","schema_version":"1.0","event_id":"sha256:22f6f1cfce218bf4033ed1e216dbe843c62ec665322534cf5ca158cf1a93e3c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VDSUEH45WC43PZLIGJ6VF74Z3W/bundle.json","state_url":"https://pith.science/pith/VDSUEH45WC43PZLIGJ6VF74Z3W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VDSUEH45WC43PZLIGJ6VF74Z3W/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":"2026-07-03T17:48:42Z","links":{"resolver":"https://pith.science/pith/VDSUEH45WC43PZLIGJ6VF74Z3W","bundle":"https://pith.science/pith/VDSUEH45WC43PZLIGJ6VF74Z3W/bundle.json","state":"https://pith.science/pith/VDSUEH45WC43PZLIGJ6VF74Z3W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VDSUEH45WC43PZLIGJ6VF74Z3W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VDSUEH45WC43PZLIGJ6VF74Z3W","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":"59d0325e3d218014b5f9743f2f91e97229b983af028c084128a713f548ce2803","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-07-02T06:35:36Z","title_canon_sha256":"3eb60af2520679d4feabe19f48cc0fe56b9e26deb4dda877def38f12c73dae25"},"schema_version":"1.0","source":{"id":"2607.01769","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01769","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01769v1","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01769","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"pith_short_12","alias_value":"VDSUEH45WC43","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"pith_short_16","alias_value":"VDSUEH45WC43PZLI","created_at":"2026-07-03T01:17:29Z"},{"alias_kind":"pith_short_8","alias_value":"VDSUEH45","created_at":"2026-07-03T01:17:29Z"}],"graph_snapshots":[{"event_id":"sha256:22f6f1cfce218bf4033ed1e216dbe843c62ec665322534cf5ca158cf1a93e3c3","target":"graph","created_at":"2026-07-03T01:17:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.01769/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates the joint uplink scheduling and power control problem in a coordinated multicell wireless network, where at most one single-antenna user is allowed to access the single-antenna base station in each cell simultaneously. The resulting weighted sum-rate (WSR) maximization problem is a mixed discrete-continuous, nonconvex optimization problem that is notoriously difficult to solve directly. Classical fractional programming (FP) methods tackle this problem by leveraging the Lagrangian dual transform (LDT) followed by the quadratic transform (QT), yielding a tractable closed-","authors_text":"Giuseppe Caire, Shi Jin, Xinping Yi, Zihan Jiao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-07-02T06:35:36Z","title":"Rethinking Fractional Programming for Joint Uplink Scheduling and Power Control in Multicell Wireless Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01769","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":"sha256:9fd11e6d380615caa9b5efb3dcb4471f9f40850184e06ad6b6147f5ae865fa2e","target":"record","created_at":"2026-07-03T01:17:29Z","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":"59d0325e3d218014b5f9743f2f91e97229b983af028c084128a713f548ce2803","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-07-02T06:35:36Z","title_canon_sha256":"3eb60af2520679d4feabe19f48cc0fe56b9e26deb4dda877def38f12c73dae25"},"schema_version":"1.0","source":{"id":"2607.01769","kind":"arxiv","version":1}},"canonical_sha256":"a8e5421f9db0b9b7e568327d52ff99ddbb6631c7607bd15a06cd92c386dbac92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8e5421f9db0b9b7e568327d52ff99ddbb6631c7607bd15a06cd92c386dbac92","first_computed_at":"2026-07-03T01:17:29.122948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-03T01:17:29.122948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tX0xb7uh2O/qTwDfuXTKZMymXCOnhdew+17y8i1T+/RjJSUvGufD3iiZcucfhMG1H77uSVOwTPFl3WrdrCGkBw==","signature_status":"signed_v1","signed_at":"2026-07-03T01:17:29.123378Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.01769","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fd11e6d380615caa9b5efb3dcb4471f9f40850184e06ad6b6147f5ae865fa2e","sha256:22f6f1cfce218bf4033ed1e216dbe843c62ec665322534cf5ca158cf1a93e3c3"],"state_sha256":"6bc02993db2813ab7d4c76ff949bd05cf836b334b3c7ce18ed14d61ac6d9c4f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pZiEmCDUZIPCNl+HGSTv6Wbw5B+bekIVJycIYhhRDF7NIzQCcl264i1uQ6soHuDcYJHoeEddnmubAVePGuP1Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T17:48:42.270720Z","bundle_sha256":"62b2cccf4c9b9bf5b0dffd50b356e9331446e4f82c4934bb7fdf8cf5cd7b1b74"}}