{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JLRHK5GHJEMNIJ7GPFVTGAOQQK","short_pith_number":"pith:JLRHK5GH","canonical_record":{"source":{"id":"1808.08260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-08-24T18:35:46Z","cross_cats_sorted":[],"title_canon_sha256":"4bb8657f02caaf1fe24e3187d5331fddd602c7e1db0e4b81a38f7d25c5fb9cc9","abstract_canon_sha256":"01292fb6127da2913108dc491cd6b794a3153e18848de2f1b9361948b1b9c0ad"},"schema_version":"1.0"},"canonical_sha256":"4ae27574c74918d427e6796b3301d082a66a55f512e897ce0e982d18259f2403","source":{"kind":"arxiv","id":"1808.08260","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08260","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08260v1","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08260","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"JLRHK5GHJEMN","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JLRHK5GHJEMNIJ7G","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JLRHK5GH","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JLRHK5GHJEMNIJ7GPFVTGAOQQK","target":"record","payload":{"canonical_record":{"source":{"id":"1808.08260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-08-24T18:35:46Z","cross_cats_sorted":[],"title_canon_sha256":"4bb8657f02caaf1fe24e3187d5331fddd602c7e1db0e4b81a38f7d25c5fb9cc9","abstract_canon_sha256":"01292fb6127da2913108dc491cd6b794a3153e18848de2f1b9361948b1b9c0ad"},"schema_version":"1.0"},"canonical_sha256":"4ae27574c74918d427e6796b3301d082a66a55f512e897ce0e982d18259f2403","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:21.696850Z","signature_b64":"L61KQSxY5+GjucyW0gnbbWj/+3Nzr9ksNvU1velGzcyiKm0E4KJF5gioMtdB5VjwviHXC1I/FkDYr8I2Fp88BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ae27574c74918d427e6796b3301d082a66a55f512e897ce0e982d18259f2403","last_reissued_at":"2026-05-18T00:07:21.696118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:21.696118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.08260","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":"2026-05-18T00:07:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i1YM2yAmClXayZx4NpKmFdqN2Y9TqbErQ2+yYUWmqWYDRp/yM2fANh+oS1yF+JBS3hArRPtpcWKwCrVHsqX6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:25:36.598799Z"},"content_sha256":"038f503dfc4672d93581e3e04c6e01a1dc3ea24f5a5e851748ccbdebe141136e","schema_version":"1.0","event_id":"sha256:038f503dfc4672d93581e3e04c6e01a1dc3ea24f5a5e851748ccbdebe141136e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JLRHK5GHJEMNIJ7GPFVTGAOQQK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resource Allocation Game on Social Networks: Best Response Dynamics and Convergence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Hari Sundaram, Ruta Mehta, Vasilis Livanos, Wei-Chun Lee","submitted_at":"2018-08-24T18:35:46Z","abstract_excerpt":"The decisions that human beings make to allocate time has significant bearing on economic output and to the sustenance of social networks. The time allocation problem motivates our formal analysis of the resource allocation game, where agents on a social network, who have asymmetric, private interaction preferences, make decisions on how to allocate time, a bounded endowment, over their neighbors. Unlike the well-known opinion formation game on a social network, our game appears not to be a potential game, and the Best-Response dynamics is non-differentiable making the analysis of Best-Respons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08260","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":""},"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":"2026-05-18T00:07:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fQmff1oZkgTEoNWY1bBNIa8epmkuF81WZGSLTLAsZMVWS31yLpPS8cIcmBVVb6SCXE8JnTN/HIUjmYyILBkNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:25:36.599296Z"},"content_sha256":"f12b83725b173e5aaad0780d58033ec65de344f14112c9d6798399eecee9e275","schema_version":"1.0","event_id":"sha256:f12b83725b173e5aaad0780d58033ec65de344f14112c9d6798399eecee9e275"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JLRHK5GHJEMNIJ7GPFVTGAOQQK/bundle.json","state_url":"https://pith.science/pith/JLRHK5GHJEMNIJ7GPFVTGAOQQK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JLRHK5GHJEMNIJ7GPFVTGAOQQK/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":"2026-06-12T10:25:36Z","links":{"resolver":"https://pith.science/pith/JLRHK5GHJEMNIJ7GPFVTGAOQQK","bundle":"https://pith.science/pith/JLRHK5GHJEMNIJ7GPFVTGAOQQK/bundle.json","state":"https://pith.science/pith/JLRHK5GHJEMNIJ7GPFVTGAOQQK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JLRHK5GHJEMNIJ7GPFVTGAOQQK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JLRHK5GHJEMNIJ7GPFVTGAOQQK","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":"01292fb6127da2913108dc491cd6b794a3153e18848de2f1b9361948b1b9c0ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-08-24T18:35:46Z","title_canon_sha256":"4bb8657f02caaf1fe24e3187d5331fddd602c7e1db0e4b81a38f7d25c5fb9cc9"},"schema_version":"1.0","source":{"id":"1808.08260","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08260","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08260v1","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08260","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"JLRHK5GHJEMN","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JLRHK5GHJEMNIJ7G","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JLRHK5GH","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:f12b83725b173e5aaad0780d58033ec65de344f14112c9d6798399eecee9e275","target":"graph","created_at":"2026-05-18T00:07:21Z","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":"The decisions that human beings make to allocate time has significant bearing on economic output and to the sustenance of social networks. The time allocation problem motivates our formal analysis of the resource allocation game, where agents on a social network, who have asymmetric, private interaction preferences, make decisions on how to allocate time, a bounded endowment, over their neighbors. Unlike the well-known opinion formation game on a social network, our game appears not to be a potential game, and the Best-Response dynamics is non-differentiable making the analysis of Best-Respons","authors_text":"Hari Sundaram, Ruta Mehta, Vasilis Livanos, Wei-Chun Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-08-24T18:35:46Z","title":"Resource Allocation Game on Social Networks: Best Response Dynamics and Convergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08260","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":"sha256:038f503dfc4672d93581e3e04c6e01a1dc3ea24f5a5e851748ccbdebe141136e","target":"record","created_at":"2026-05-18T00:07:21Z","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":"01292fb6127da2913108dc491cd6b794a3153e18848de2f1b9361948b1b9c0ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-08-24T18:35:46Z","title_canon_sha256":"4bb8657f02caaf1fe24e3187d5331fddd602c7e1db0e4b81a38f7d25c5fb9cc9"},"schema_version":"1.0","source":{"id":"1808.08260","kind":"arxiv","version":1}},"canonical_sha256":"4ae27574c74918d427e6796b3301d082a66a55f512e897ce0e982d18259f2403","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ae27574c74918d427e6796b3301d082a66a55f512e897ce0e982d18259f2403","first_computed_at":"2026-05-18T00:07:21.696118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:21.696118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L61KQSxY5+GjucyW0gnbbWj/+3Nzr9ksNvU1velGzcyiKm0E4KJF5gioMtdB5VjwviHXC1I/FkDYr8I2Fp88BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:21.696850Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08260","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:038f503dfc4672d93581e3e04c6e01a1dc3ea24f5a5e851748ccbdebe141136e","sha256:f12b83725b173e5aaad0780d58033ec65de344f14112c9d6798399eecee9e275"],"state_sha256":"60008ed92f0e2cd72d6f9e5eb1b651952bbf79047908062cc57d8caf0cccebc9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OvL5Ccv6go7/T4Iyyulag44Lv0P/oKI+tU8nSoiPH12VM5t0gVgPjo3eRxMIonTuQIAjZvg4JMyt7veRdQx5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T10:25:36.601789Z","bundle_sha256":"ac4e40f0906976911a8afa5072640451b5c37414c75007a7930e99d81ff6cf5a"}}