{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DNNNGHFK4FSKLOASV4GTA23JUI","short_pith_number":"pith:DNNNGHFK","canonical_record":{"source":{"id":"1503.02951","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-03-10T15:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"8080be21345feb2e22faec47020aa97798cd80d9b8da6a9c402db5a5e648b2cd","abstract_canon_sha256":"017f86ca28a4c4e6520205d188f9dba124e9b030ddfb0d0ffe89626522b44766"},"schema_version":"1.0"},"canonical_sha256":"1b5ad31caae164a5b812af0d306b69a229242717e2f9cc8aaf017f1fad134023","source":{"kind":"arxiv","id":"1503.02951","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02951","created_at":"2026-05-18T00:20:18Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02951v5","created_at":"2026-05-18T00:20:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02951","created_at":"2026-05-18T00:20:18Z"},{"alias_kind":"pith_short_12","alias_value":"DNNNGHFK4FSK","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DNNNGHFK4FSKLOAS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DNNNGHFK","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DNNNGHFK4FSKLOASV4GTA23JUI","target":"record","payload":{"canonical_record":{"source":{"id":"1503.02951","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-03-10T15:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"8080be21345feb2e22faec47020aa97798cd80d9b8da6a9c402db5a5e648b2cd","abstract_canon_sha256":"017f86ca28a4c4e6520205d188f9dba124e9b030ddfb0d0ffe89626522b44766"},"schema_version":"1.0"},"canonical_sha256":"1b5ad31caae164a5b812af0d306b69a229242717e2f9cc8aaf017f1fad134023","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:18.032126Z","signature_b64":"12pPBA4sIxlRU8SsA6jsyxEUXOxR8gHE3v6Gaf5Jf+FBPJv6djo3K1QWxmna+mz4XIJj4Q7Sl8FOYMNsMF7tDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b5ad31caae164a5b812af0d306b69a229242717e2f9cc8aaf017f1fad134023","last_reissued_at":"2026-05-18T00:20:18.031507Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:18.031507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.02951","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M1nDM8Zu0DyBWBxAsXZ3nqfsu6Tkqqp3priuJuEj7OdGx2AzQ+r9maahulHJVpnPp8bV64rzHlKi35FGs2R4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:57:49.665969Z"},"content_sha256":"0a92802e66e31ed4e552b2dc419100427a7cb6b7596c5fa34f86a076ad272094","schema_version":"1.0","event_id":"sha256:0a92802e66e31ed4e552b2dc419100427a7cb6b7596c5fa34f86a076ad272094"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DNNNGHFK4FSKLOASV4GTA23JUI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean Field Games in Nudge Systems for Societal Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Bainan Xia, Hao Ming, Jian Li, Le Xie, Srinivas Shakkottai, Vijay Subramanian, Xinbo Geng","submitted_at":"2015-03-10T15:20:34Z","abstract_excerpt":"We consider the general problem of resource sharing in societal networks, consisting of interconnected communication, transportation, energy and other networks important to the functioning of society. Participants in such network need to take decisions daily, both on the quantity of resources to use as well as the periods of usage. With this in mind, we discuss the problem of incentivizing users to behave in such a way that society as a whole benefits. In order to perceive societal level impact, such incentives may take the form of rewarding users with lottery tickets based on good behavior, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02951","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:20:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Iutjfm2qGkh19Enl2IWo56u2j1KA134odxll+LHgmJlKIh+D2+7Uvk2tmNdbN+lUjX7AGHlfZ2ia3jFXP9Y0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:57:49.666333Z"},"content_sha256":"706d106d295b1f5366fd746e17961d185d59fe34aac5c0b2c2574d141464a62c","schema_version":"1.0","event_id":"sha256:706d106d295b1f5366fd746e17961d185d59fe34aac5c0b2c2574d141464a62c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DNNNGHFK4FSKLOASV4GTA23JUI/bundle.json","state_url":"https://pith.science/pith/DNNNGHFK4FSKLOASV4GTA23JUI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DNNNGHFK4FSKLOASV4GTA23JUI/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":"2026-06-04T17:57:49Z","links":{"resolver":"https://pith.science/pith/DNNNGHFK4FSKLOASV4GTA23JUI","bundle":"https://pith.science/pith/DNNNGHFK4FSKLOASV4GTA23JUI/bundle.json","state":"https://pith.science/pith/DNNNGHFK4FSKLOASV4GTA23JUI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DNNNGHFK4FSKLOASV4GTA23JUI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DNNNGHFK4FSKLOASV4GTA23JUI","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":"017f86ca28a4c4e6520205d188f9dba124e9b030ddfb0d0ffe89626522b44766","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-03-10T15:20:34Z","title_canon_sha256":"8080be21345feb2e22faec47020aa97798cd80d9b8da6a9c402db5a5e648b2cd"},"schema_version":"1.0","source":{"id":"1503.02951","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02951","created_at":"2026-05-18T00:20:18Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02951v5","created_at":"2026-05-18T00:20:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02951","created_at":"2026-05-18T00:20:18Z"},{"alias_kind":"pith_short_12","alias_value":"DNNNGHFK4FSK","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DNNNGHFK4FSKLOAS","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DNNNGHFK","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:706d106d295b1f5366fd746e17961d185d59fe34aac5c0b2c2574d141464a62c","target":"graph","created_at":"2026-05-18T00:20:18Z","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":"We consider the general problem of resource sharing in societal networks, consisting of interconnected communication, transportation, energy and other networks important to the functioning of society. Participants in such network need to take decisions daily, both on the quantity of resources to use as well as the periods of usage. With this in mind, we discuss the problem of incentivizing users to behave in such a way that society as a whole benefits. In order to perceive societal level impact, such incentives may take the form of rewarding users with lottery tickets based on good behavior, a","authors_text":"Bainan Xia, Hao Ming, Jian Li, Le Xie, Srinivas Shakkottai, Vijay Subramanian, Xinbo Geng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-03-10T15:20:34Z","title":"Mean Field Games in Nudge Systems for Societal Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02951","kind":"arxiv","version":5},"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":"sha256:0a92802e66e31ed4e552b2dc419100427a7cb6b7596c5fa34f86a076ad272094","target":"record","created_at":"2026-05-18T00:20:18Z","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":"017f86ca28a4c4e6520205d188f9dba124e9b030ddfb0d0ffe89626522b44766","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-03-10T15:20:34Z","title_canon_sha256":"8080be21345feb2e22faec47020aa97798cd80d9b8da6a9c402db5a5e648b2cd"},"schema_version":"1.0","source":{"id":"1503.02951","kind":"arxiv","version":5}},"canonical_sha256":"1b5ad31caae164a5b812af0d306b69a229242717e2f9cc8aaf017f1fad134023","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b5ad31caae164a5b812af0d306b69a229242717e2f9cc8aaf017f1fad134023","first_computed_at":"2026-05-18T00:20:18.031507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:18.031507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"12pPBA4sIxlRU8SsA6jsyxEUXOxR8gHE3v6Gaf5Jf+FBPJv6djo3K1QWxmna+mz4XIJj4Q7Sl8FOYMNsMF7tDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:18.032126Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02951","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a92802e66e31ed4e552b2dc419100427a7cb6b7596c5fa34f86a076ad272094","sha256:706d106d295b1f5366fd746e17961d185d59fe34aac5c0b2c2574d141464a62c"],"state_sha256":"37008547b35e5d62227737a0d8c37d3c51644598e521e147cc9c2e1fb4d27410"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"te8AswFGIZhvpEX2uasW8iH3XgIlznkFeRnIbwdq+Y3yvbYfnPVU62Y0gljaPb9uVhDC/UqueFtu2G2dsuyTCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T17:57:49.668288Z","bundle_sha256":"f9c0ada2ba382edba95d2b0ae55f9eca625bb02193332ab7fb6800f3b4030870"}}