{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:MPVJZTANWFODA2DVJU6TXKBM2M","short_pith_number":"pith:MPVJZTAN","canonical_record":{"source":{"id":"2310.16326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2023-10-25T03:14:48Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"5b0c6d93c44f3c45f3a72e56a0a669e07a045edbf529cd08a98d27e154802350","abstract_canon_sha256":"6e7cd304277e9a2662d718931948807bc80d8a2b7e258109ec95e336f4704a49"},"schema_version":"1.0"},"canonical_sha256":"63ea9ccc0db15c3068754d3d3ba82cd33ed9479f0e9cd35099d33c70967071c6","source":{"kind":"arxiv","id":"2310.16326","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.16326","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"2310.16326v1","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.16326","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"MPVJZTANWFOD","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"pith_short_16","alias_value":"MPVJZTANWFODA2DV","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"pith_short_8","alias_value":"MPVJZTAN","created_at":"2026-07-05T07:04:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:MPVJZTANWFODA2DVJU6TXKBM2M","target":"record","payload":{"canonical_record":{"source":{"id":"2310.16326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2023-10-25T03:14:48Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"5b0c6d93c44f3c45f3a72e56a0a669e07a045edbf529cd08a98d27e154802350","abstract_canon_sha256":"6e7cd304277e9a2662d718931948807bc80d8a2b7e258109ec95e336f4704a49"},"schema_version":"1.0"},"canonical_sha256":"63ea9ccc0db15c3068754d3d3ba82cd33ed9479f0e9cd35099d33c70967071c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:04:55.815896Z","signature_b64":"mia6tKAGto12QNUjAjKxI4NzvpaGdS38tjUoUKl02op7CgwjgA7LWnTXR8gsr5m4Lnd1qF6nd/NOGoBsn/UVDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63ea9ccc0db15c3068754d3d3ba82cd33ed9479f0e9cd35099d33c70967071c6","last_reissued_at":"2026-07-05T07:04:55.815439Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:04:55.815439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.16326","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":"2026-07-05T07:04:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bpr3EAuzQexI67W4la/95EU3RA1lRFhAO6EROa5oX8B6qGRUh9O2Pjzc8RVYZ6k2NU0roCdIxLkcHQLEbKzaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:00:14.047487Z"},"content_sha256":"c67ade375275f8ca2ed0f2447c8b89d8e06d827a8997a5555b7ba5051f859c73","schema_version":"1.0","event_id":"sha256:c67ade375275f8ca2ed0f2447c8b89d8e06d827a8997a5555b7ba5051f859c73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:MPVJZTANWFODA2DVJU6TXKBM2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reinforcement Learning for SBM Graphon Games with Re-Sampling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.GT","authors_text":"Andreea Minca, Junyu Guo, Oscar Peralta, Peihan Huo, Qiaomin Xie","submitted_at":"2023-10-25T03:14:48Z","abstract_excerpt":"The Mean-Field approximation is a tractable approach for studying large population dynamics. However, its assumption on homogeneity and universal connections among all agents limits its applicability in many real-world scenarios. Multi-Population Mean-Field Game (MP-MFG) models have been introduced in the literature to address these limitations. When the underlying Stochastic Block Model is known, we show that a Policy Mirror Ascent algorithm finds the MP-MFG Nash Equilibrium. In more realistic scenarios where the block model is unknown, we propose a re-sampling scheme from a graphon integrate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.16326","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/2310.16326/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":"2026-07-05T07:04:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/4CER6Q4EaNxK1M0ctaalyi3GFhy7rYLAHl3nU/D3iTwg+EjzPoUl7RQlqOSx3JZU8C232TmPasXeTlvef/fAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:00:14.047978Z"},"content_sha256":"ef60d9f74cea8051f425025489117cb4793fce16acd28d09dedf2f521021f7ca","schema_version":"1.0","event_id":"sha256:ef60d9f74cea8051f425025489117cb4793fce16acd28d09dedf2f521021f7ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MPVJZTANWFODA2DVJU6TXKBM2M/bundle.json","state_url":"https://pith.science/pith/MPVJZTANWFODA2DVJU6TXKBM2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MPVJZTANWFODA2DVJU6TXKBM2M/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":"2026-08-08T14:00:14Z","links":{"resolver":"https://pith.science/pith/MPVJZTANWFODA2DVJU6TXKBM2M","bundle":"https://pith.science/pith/MPVJZTANWFODA2DVJU6TXKBM2M/bundle.json","state":"https://pith.science/pith/MPVJZTANWFODA2DVJU6TXKBM2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MPVJZTANWFODA2DVJU6TXKBM2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:MPVJZTANWFODA2DVJU6TXKBM2M","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":"6e7cd304277e9a2662d718931948807bc80d8a2b7e258109ec95e336f4704a49","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2023-10-25T03:14:48Z","title_canon_sha256":"5b0c6d93c44f3c45f3a72e56a0a669e07a045edbf529cd08a98d27e154802350"},"schema_version":"1.0","source":{"id":"2310.16326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.16326","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"2310.16326v1","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.16326","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"MPVJZTANWFOD","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"pith_short_16","alias_value":"MPVJZTANWFODA2DV","created_at":"2026-07-05T07:04:55Z"},{"alias_kind":"pith_short_8","alias_value":"MPVJZTAN","created_at":"2026-07-05T07:04:55Z"}],"graph_snapshots":[{"event_id":"sha256:ef60d9f74cea8051f425025489117cb4793fce16acd28d09dedf2f521021f7ca","target":"graph","created_at":"2026-07-05T07:04:55Z","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/2310.16326/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Mean-Field approximation is a tractable approach for studying large population dynamics. However, its assumption on homogeneity and universal connections among all agents limits its applicability in many real-world scenarios. Multi-Population Mean-Field Game (MP-MFG) models have been introduced in the literature to address these limitations. When the underlying Stochastic Block Model is known, we show that a Policy Mirror Ascent algorithm finds the MP-MFG Nash Equilibrium. In more realistic scenarios where the block model is unknown, we propose a re-sampling scheme from a graphon integrate","authors_text":"Andreea Minca, Junyu Guo, Oscar Peralta, Peihan Huo, Qiaomin Xie","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2023-10-25T03:14:48Z","title":"Reinforcement Learning for SBM Graphon Games with Re-Sampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.16326","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:c67ade375275f8ca2ed0f2447c8b89d8e06d827a8997a5555b7ba5051f859c73","target":"record","created_at":"2026-07-05T07:04:55Z","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":"6e7cd304277e9a2662d718931948807bc80d8a2b7e258109ec95e336f4704a49","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2023-10-25T03:14:48Z","title_canon_sha256":"5b0c6d93c44f3c45f3a72e56a0a669e07a045edbf529cd08a98d27e154802350"},"schema_version":"1.0","source":{"id":"2310.16326","kind":"arxiv","version":1}},"canonical_sha256":"63ea9ccc0db15c3068754d3d3ba82cd33ed9479f0e9cd35099d33c70967071c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63ea9ccc0db15c3068754d3d3ba82cd33ed9479f0e9cd35099d33c70967071c6","first_computed_at":"2026-07-05T07:04:55.815439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:04:55.815439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mia6tKAGto12QNUjAjKxI4NzvpaGdS38tjUoUKl02op7CgwjgA7LWnTXR8gsr5m4Lnd1qF6nd/NOGoBsn/UVDg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:04:55.815896Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.16326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c67ade375275f8ca2ed0f2447c8b89d8e06d827a8997a5555b7ba5051f859c73","sha256:ef60d9f74cea8051f425025489117cb4793fce16acd28d09dedf2f521021f7ca"],"state_sha256":"ec5ce19f6a89ae089bed3ee416ea5ffe53f305848ffa3dc30ce83fcd9f58084c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0gLkEzVa4wCD0p0w2W4WahiN5TvGaXSjHscSc4y1hu16zflEegidCZfcGC63CIN+UBc58yhts7JwDmQwJ3o+Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T14:00:14.052038Z","bundle_sha256":"6908bac585308108e47bb5e341441c1d1eb2b4b70c687edd2010a7f0684626c4"}}