{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LOKGO3PB7VY5KW6O4R7CUC5DDV","short_pith_number":"pith:LOKGO3PB","canonical_record":{"source":{"id":"2506.15856","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.MA","submitted_at":"2025-06-18T20:04:43Z","cross_cats_sorted":[],"title_canon_sha256":"af5ac5887f32176c61bcf36bcbbd9376d9cf079d5130bfe4ac314fa83f5632c5","abstract_canon_sha256":"7825ac0bc594ce28dc4f06a6aa69f86be53b5e07e73ad949753dfcec1dfe9baa"},"schema_version":"1.0"},"canonical_sha256":"5b94676de1fd71d55bcee47e2a0ba31d6d859818a5735d87ca4fd1565ba049b0","source":{"kind":"arxiv","id":"2506.15856","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.15856","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"arxiv_version","alias_value":"2506.15856v1","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.15856","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"pith_short_12","alias_value":"LOKGO3PB7VY5","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"pith_short_16","alias_value":"LOKGO3PB7VY5KW6O","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"pith_short_8","alias_value":"LOKGO3PB","created_at":"2026-07-05T11:23:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LOKGO3PB7VY5KW6O4R7CUC5DDV","target":"record","payload":{"canonical_record":{"source":{"id":"2506.15856","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.MA","submitted_at":"2025-06-18T20:04:43Z","cross_cats_sorted":[],"title_canon_sha256":"af5ac5887f32176c61bcf36bcbbd9376d9cf079d5130bfe4ac314fa83f5632c5","abstract_canon_sha256":"7825ac0bc594ce28dc4f06a6aa69f86be53b5e07e73ad949753dfcec1dfe9baa"},"schema_version":"1.0"},"canonical_sha256":"5b94676de1fd71d55bcee47e2a0ba31d6d859818a5735d87ca4fd1565ba049b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:23:53.625335Z","signature_b64":"Dt6NOL5MB7abh0Q4YpW6P5yUq8v+k5MGtdKNEjFAfBmJSHxvH2EPBVHCdR3bRzMxcaPnurNM47l/PkAqedm2AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b94676de1fd71d55bcee47e2a0ba31d6d859818a5735d87ca4fd1565ba049b0","last_reissued_at":"2026-07-05T11:23:53.624701Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:23:53.624701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.15856","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":"2026-07-05T11:23:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W+FhBeTUINscexNib7e2oz6Ey4WEpF5MFFY7XkFM5nmp1/vrb6DIUiNkvXSIzie3LcPUOlyAGtaT4nOgAzhcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:06:45.695464Z"},"content_sha256":"d65b7a21393f99b47083d4d14fd400d516355471112eff7ef712dad0079a621b","schema_version":"1.0","event_id":"sha256:d65b7a21393f99b47083d4d14fd400d516355471112eff7ef712dad0079a621b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LOKGO3PB7VY5KW6O4R7CUC5DDV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Learning to Coordinate Under Threshold Rewards: A Cooperative Multi-Agent Bandit Framework","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.MA","authors_text":"Michael Ledford, William Regli","submitted_at":"2025-06-18T20:04:43Z","abstract_excerpt":"Cooperative multi-agent systems often face tasks that require coordinated actions under uncertainty. While multi-armed bandit (MAB) problems provide a powerful framework for decentralized learning, most prior work assumes individually attainable rewards. We address the challenging setting where rewards are threshold-activated: an arm yields a payoff only when a minimum number of agents pull it simultaneously, with this threshold unknown in advance. Complicating matters further, some arms are decoys - requiring coordination to activate but yielding no reward - introducing a new challenge of was"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.15856","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/2506.15856/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":"2026-07-05T11:23:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NYPyDKTPo2vJOMzTWZbkKxFI/i5x2kuumVW9lSfN0r3RGiw+y0dQrBxm7xoYAyJ4i4Y6WXrOIuxr8Y3AX0F4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:06:45.695972Z"},"content_sha256":"3fca0e726636caf63a428ef7a886397cc331791db614fa0c0381e603c9b05dd2","schema_version":"1.0","event_id":"sha256:3fca0e726636caf63a428ef7a886397cc331791db614fa0c0381e603c9b05dd2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LOKGO3PB7VY5KW6O4R7CUC5DDV/bundle.json","state_url":"https://pith.science/pith/LOKGO3PB7VY5KW6O4R7CUC5DDV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LOKGO3PB7VY5KW6O4R7CUC5DDV/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":"2026-08-18T09:06:45Z","links":{"resolver":"https://pith.science/pith/LOKGO3PB7VY5KW6O4R7CUC5DDV","bundle":"https://pith.science/pith/LOKGO3PB7VY5KW6O4R7CUC5DDV/bundle.json","state":"https://pith.science/pith/LOKGO3PB7VY5KW6O4R7CUC5DDV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LOKGO3PB7VY5KW6O4R7CUC5DDV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LOKGO3PB7VY5KW6O4R7CUC5DDV","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":"7825ac0bc594ce28dc4f06a6aa69f86be53b5e07e73ad949753dfcec1dfe9baa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.MA","submitted_at":"2025-06-18T20:04:43Z","title_canon_sha256":"af5ac5887f32176c61bcf36bcbbd9376d9cf079d5130bfe4ac314fa83f5632c5"},"schema_version":"1.0","source":{"id":"2506.15856","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.15856","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"arxiv_version","alias_value":"2506.15856v1","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.15856","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"pith_short_12","alias_value":"LOKGO3PB7VY5","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"pith_short_16","alias_value":"LOKGO3PB7VY5KW6O","created_at":"2026-07-05T11:23:53Z"},{"alias_kind":"pith_short_8","alias_value":"LOKGO3PB","created_at":"2026-07-05T11:23:53Z"}],"graph_snapshots":[{"event_id":"sha256:3fca0e726636caf63a428ef7a886397cc331791db614fa0c0381e603c9b05dd2","target":"graph","created_at":"2026-07-05T11:23:53Z","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/2506.15856/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Cooperative multi-agent systems often face tasks that require coordinated actions under uncertainty. While multi-armed bandit (MAB) problems provide a powerful framework for decentralized learning, most prior work assumes individually attainable rewards. We address the challenging setting where rewards are threshold-activated: an arm yields a payoff only when a minimum number of agents pull it simultaneously, with this threshold unknown in advance. Complicating matters further, some arms are decoys - requiring coordination to activate but yielding no reward - introducing a new challenge of was","authors_text":"Michael Ledford, William Regli","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.MA","submitted_at":"2025-06-18T20:04:43Z","title":"Learning to Coordinate Under Threshold Rewards: A Cooperative Multi-Agent Bandit Framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.15856","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:d65b7a21393f99b47083d4d14fd400d516355471112eff7ef712dad0079a621b","target":"record","created_at":"2026-07-05T11:23:53Z","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":"7825ac0bc594ce28dc4f06a6aa69f86be53b5e07e73ad949753dfcec1dfe9baa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.MA","submitted_at":"2025-06-18T20:04:43Z","title_canon_sha256":"af5ac5887f32176c61bcf36bcbbd9376d9cf079d5130bfe4ac314fa83f5632c5"},"schema_version":"1.0","source":{"id":"2506.15856","kind":"arxiv","version":1}},"canonical_sha256":"5b94676de1fd71d55bcee47e2a0ba31d6d859818a5735d87ca4fd1565ba049b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b94676de1fd71d55bcee47e2a0ba31d6d859818a5735d87ca4fd1565ba049b0","first_computed_at":"2026-07-05T11:23:53.624701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:23:53.624701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dt6NOL5MB7abh0Q4YpW6P5yUq8v+k5MGtdKNEjFAfBmJSHxvH2EPBVHCdR3bRzMxcaPnurNM47l/PkAqedm2AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:23:53.625335Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.15856","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d65b7a21393f99b47083d4d14fd400d516355471112eff7ef712dad0079a621b","sha256:3fca0e726636caf63a428ef7a886397cc331791db614fa0c0381e603c9b05dd2"],"state_sha256":"bec16689ffdf3480b894296bb7558ad13662202a8b346d6a32765155a0cab361"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y0CPVLn0YjH5SfKrlgqLa5F+CcQL6JPO5bjookxuI3lDsyI4rUqSEQ5X1R/feKiUIn8qf++PCaJJyQgmOw4TCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T09:06:45.701116Z","bundle_sha256":"937acebf069ef754a69cd44a78bab286eb92e82c1a28c1c6eb0ba074c7a4de0f"}}