{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:AHGFQIXLNKSN5HJVXJQRJW7O7G","short_pith_number":"pith:AHGFQIXL","canonical_record":{"source":{"id":"2607.26788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2026-07-29T11:29:45Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"460e8eb1d36af4a48d8022e353f08b23bb8073128a96da6091e4acb0de3078c6","abstract_canon_sha256":"39b9016e7357c07240a1aff8ae0caf7906757e275b2995257ec481da22cf4263"},"schema_version":"1.0"},"canonical_sha256":"01cc5822eb6aa4de9d35ba6114dbeef9a16321efcb527298f43be4d9fce1fee6","source":{"kind":"arxiv","id":"2607.26788","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.26788","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"arxiv_version","alias_value":"2607.26788v1","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26788","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"pith_short_12","alias_value":"AHGFQIXLNKSN","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"pith_short_16","alias_value":"AHGFQIXLNKSN5HJV","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"pith_short_8","alias_value":"AHGFQIXL","created_at":"2026-07-30T01:22:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:AHGFQIXLNKSN5HJVXJQRJW7O7G","target":"record","payload":{"canonical_record":{"source":{"id":"2607.26788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2026-07-29T11:29:45Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"460e8eb1d36af4a48d8022e353f08b23bb8073128a96da6091e4acb0de3078c6","abstract_canon_sha256":"39b9016e7357c07240a1aff8ae0caf7906757e275b2995257ec481da22cf4263"},"schema_version":"1.0"},"canonical_sha256":"01cc5822eb6aa4de9d35ba6114dbeef9a16321efcb527298f43be4d9fce1fee6","receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01cc5822eb6aa4de9d35ba6114dbeef9a16321efcb527298f43be4d9fce1fee6","last_reissued_at":"2026-07-30T01:22:19.233989Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-30T01:22:19.233989Z"},"source_kind":"arxiv","source_id":"2607.26788","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":"2026-07-30T01:22:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DemuVEqXkSDu+Kj5JplyYoP22v13WKIAZ42E2TodmWDBlzh/+tB4O3BJ6c1nOIcQ8YWsHLFDEKrjCHkPgbUVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:59:51.872633Z"},"content_sha256":"4fd7f635b44c8f2be78046396b1523e92400922ad3b59d8f995f1c9a98a9e1ac","schema_version":"1.0","event_id":"sha256:4fd7f635b44c8f2be78046396b1523e92400922ad3b59d8f995f1c9a98a9e1ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:AHGFQIXLNKSN5HJVXJQRJW7O7G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stable and Budget-Feasible Coalition Formation for Clustered Federated Learning: A Hedonic Potential-Game Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.GT","authors_text":"Cengis Hasan","submitted_at":"2026-07-29T11:29:45Z","abstract_excerpt":"Clustered federated learning benefits from organizing heterogeneous participants into coalitions that train coalition-specific models, but such clustering is sustainable only if participants prefer their assigned coalition and the required transfers are affordable. We develop a transferable-surplus model separating learning benefit, system cost, participant cost, and monetary transfers; an allocation rule converts coalition surplus into hedonic preferences, and weak budget feasibility guarantees nonnegative retained coordinator surplus. For symmetric pairwise allocations the induced game is an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26788","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/2607.26788/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":"2026-07-30T01:22:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bRstrft91XntGyMnjXuAnhyZt4zY/YQwCYx+ULjRwOKwSGm6h1r32O7Yglazd+rsamY++9bL7FflcHToHw4LCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:59:51.873121Z"},"content_sha256":"7206b4dc77f2a1df8521fee7c9e97d0c660fc96fc387b356326527c2eae302f7","schema_version":"1.0","event_id":"sha256:7206b4dc77f2a1df8521fee7c9e97d0c660fc96fc387b356326527c2eae302f7"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:AHGFQIXLNKSN5HJVXJQRJW7O7G","target":"integrity","payload":{"note":"DOI is split by whitespace or line breaks in the printed bibliography. Reconstructed DOI 10.1609/aaai.v39i15.33746 resolves to 'DualGFL: Federated Learning with a Dual-Level Coalition-Auction Game'. A reader following the printed text alone cannot reach it.","snippet":"Chen, X., Zhou, X., Zhang, S., Sun, M.: DualGFL: Federated learning with a dual- level coalition-auction game. Proceedings of the AAAI Conference on Artificial Intelligence39(15), 15904–15912 (2025) https://doi.org/10.1609/aaai.v39i15. 3374","arxiv_id":"2607.26788","detector":"doi_compliance","evidence":{"ref_index":27,"verdict_class":"incontrovertible","resolved_title":"DualGFL: Federated Learning with a Dual-Level Coalition-Auction Game","printed_excerpt":"10.1609/aaai.v39i15","reconstructed_doi":"10.1609/aaai.v39i15.33746"},"severity":"advisory","ref_index":27,"audited_at":"2026-07-30T21:11:47.413790Z","event_type":"pith.integrity.v1","detected_doi":"10.1609/aaai.v39i15.33746","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"7eaea9e1314189adc2d3bb3d3a6a9dec01da289774f5acac998cc5577e1d1b92","paper_version":1,"verdict_class":"incontrovertible","resolved_title":"DualGFL: Federated Learning with a Dual-Level Coalition-Auction Game","detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":14060,"payload_sha256":"eaf565c2e6a181065fa129c8a3f8a0eb1a9a18331271e3e46f11756532e4c6e8","signature_b64":null,"signing_key_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-30T21:16:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r+aV/iahNeMnc3SijISMOYFBCEG7l6WV15bPf+0ngPk3NaCLaVlSZtfIAa/pzZOcgtgCKcXybscox3vbmFigCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:59:51.877045Z"},"content_sha256":"c22b62ecaf6e81b6458781b71d9e64bbab4b08c52a421f9e98e48a1b887fcfd5","schema_version":"1.0","event_id":"sha256:c22b62ecaf6e81b6458781b71d9e64bbab4b08c52a421f9e98e48a1b887fcfd5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AHGFQIXLNKSN5HJVXJQRJW7O7G/bundle.json","state_url":"https://pith.science/pith/AHGFQIXLNKSN5HJVXJQRJW7O7G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AHGFQIXLNKSN5HJVXJQRJW7O7G/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":"2026-08-11T14:59:51Z","links":{"resolver":"https://pith.science/pith/AHGFQIXLNKSN5HJVXJQRJW7O7G","bundle":"https://pith.science/pith/AHGFQIXLNKSN5HJVXJQRJW7O7G/bundle.json","state":"https://pith.science/pith/AHGFQIXLNKSN5HJVXJQRJW7O7G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AHGFQIXLNKSN5HJVXJQRJW7O7G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AHGFQIXLNKSN5HJVXJQRJW7O7G","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"39b9016e7357c07240a1aff8ae0caf7906757e275b2995257ec481da22cf4263","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2026-07-29T11:29:45Z","title_canon_sha256":"460e8eb1d36af4a48d8022e353f08b23bb8073128a96da6091e4acb0de3078c6"},"schema_version":"1.0","source":{"id":"2607.26788","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.26788","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"arxiv_version","alias_value":"2607.26788v1","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26788","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"pith_short_12","alias_value":"AHGFQIXLNKSN","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"pith_short_16","alias_value":"AHGFQIXLNKSN5HJV","created_at":"2026-07-30T01:22:19Z"},{"alias_kind":"pith_short_8","alias_value":"AHGFQIXL","created_at":"2026-07-30T01:22:19Z"}],"graph_snapshots":[{"event_id":"sha256:7206b4dc77f2a1df8521fee7c9e97d0c660fc96fc387b356326527c2eae302f7","target":"graph","created_at":"2026-07-30T01:22:19Z","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/2607.26788/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Clustered federated learning benefits from organizing heterogeneous participants into coalitions that train coalition-specific models, but such clustering is sustainable only if participants prefer their assigned coalition and the required transfers are affordable. We develop a transferable-surplus model separating learning benefit, system cost, participant cost, and monetary transfers; an allocation rule converts coalition surplus into hedonic preferences, and weak budget feasibility guarantees nonnegative retained coordinator surplus. For symmetric pairwise allocations the induced game is an","authors_text":"Cengis Hasan","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2026-07-29T11:29:45Z","title":"Stable and Budget-Feasible Coalition Formation for Clustered Federated Learning: A Hedonic Potential-Game Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26788","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":"sha256:4fd7f635b44c8f2be78046396b1523e92400922ad3b59d8f995f1c9a98a9e1ac","target":"record","created_at":"2026-07-30T01:22:19Z","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":"39b9016e7357c07240a1aff8ae0caf7906757e275b2995257ec481da22cf4263","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2026-07-29T11:29:45Z","title_canon_sha256":"460e8eb1d36af4a48d8022e353f08b23bb8073128a96da6091e4acb0de3078c6"},"schema_version":"1.0","source":{"id":"2607.26788","kind":"arxiv","version":1}},"canonical_sha256":"01cc5822eb6aa4de9d35ba6114dbeef9a16321efcb527298f43be4d9fce1fee6","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01cc5822eb6aa4de9d35ba6114dbeef9a16321efcb527298f43be4d9fce1fee6","first_computed_at":"2026-07-30T01:22:19.233989Z","kind":"pith_receipt","last_reissued_at":"2026-07-30T01:22:19.233989Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2607.26788","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fd7f635b44c8f2be78046396b1523e92400922ad3b59d8f995f1c9a98a9e1ac","sha256:7206b4dc77f2a1df8521fee7c9e97d0c660fc96fc387b356326527c2eae302f7","sha256:c22b62ecaf6e81b6458781b71d9e64bbab4b08c52a421f9e98e48a1b887fcfd5"],"state_sha256":"2711ed2242c78d30690be1e19236d92f7030f2fc4d3a715206d40391332e6d8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cy+wVQviGKVNddwaUmryZKGjitaDl8cVOSI8suTnLDVi8ufIhkzI3M2AqNR1bDGhegaIT+TdN52Imrw1oV5rDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T14:59:51.879074Z","bundle_sha256":"7bc1016023f0ca868a48228bd19d6f42fed30e9e532277523a1a5d0edbcef6f5"}}