{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:P5GOAAS4GUOUXA3T4Q2FPCULUU","short_pith_number":"pith:P5GOAAS4","canonical_record":{"source":{"id":"1510.07342","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-10-26T01:06:54Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"ab78969db1cb66be5887d808d9425d87117d6082171e560d9213876f96472d6e","abstract_canon_sha256":"c0726573255d4d1f59189820bdc2829a59c3428a3600a161521f89f0a778f008"},"schema_version":"1.0"},"canonical_sha256":"7f4ce0025c351d4b8373e434578a8ba50c45f24e661531ac8ac8480ecdc7ae73","source":{"kind":"arxiv","id":"1510.07342","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07342","created_at":"2026-05-18T01:25:56Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07342v1","created_at":"2026-05-18T01:25:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07342","created_at":"2026-05-18T01:25:56Z"},{"alias_kind":"pith_short_12","alias_value":"P5GOAAS4GUOU","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P5GOAAS4GUOUXA3T","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P5GOAAS4","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:P5GOAAS4GUOUXA3T4Q2FPCULUU","target":"record","payload":{"canonical_record":{"source":{"id":"1510.07342","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-10-26T01:06:54Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"ab78969db1cb66be5887d808d9425d87117d6082171e560d9213876f96472d6e","abstract_canon_sha256":"c0726573255d4d1f59189820bdc2829a59c3428a3600a161521f89f0a778f008"},"schema_version":"1.0"},"canonical_sha256":"7f4ce0025c351d4b8373e434578a8ba50c45f24e661531ac8ac8480ecdc7ae73","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:56.954116Z","signature_b64":"XRh9xOiaIU/8wI5YG4+vxS7KtuvvvaIucUL0xnCkNT2GZwEbTSxOGafQz46j7SjFtuS4YpcR2srZFHzb72+KBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f4ce0025c351d4b8373e434578a8ba50c45f24e661531ac8ac8480ecdc7ae73","last_reissued_at":"2026-05-18T01:25:56.953279Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:56.953279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.07342","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":"2026-05-18T01:25:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W9/qk5r0zrBUi4QjXYyd/gtyhglsqZBiLXK7BdPCRQMsZzcty6Aa5Rs0JdNREU0J1glA8JWij8H4bcOuy0vmCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T13:00:10.047551Z"},"content_sha256":"47aa16495edad4983ffd043d251222f503830c11a196b7af630a8584075081aa","schema_version":"1.0","event_id":"sha256:47aa16495edad4983ffd043d251222f503830c11a196b7af630a8584075081aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:P5GOAAS4GUOUXA3T4Q2FPCULUU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stable Matching with Incomplete Information in Structured Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.soc-ph"],"primary_cat":"cs.GT","authors_text":"Tao Wan, Ying Ling, Zengchang Qin","submitted_at":"2015-10-26T01:06:54Z","abstract_excerpt":"In this paper, we investigate stable matching in structured networks. Consider case of matching in social networks where candidates are not fully connected. A candidate on one side of the market gets acquaintance with which one on the heterogeneous side depends on the structured network. We explore four well-used structures of networks and define the social circle by the distance between each candidate. When matching within social circle, we have equilibrium distinguishes from each other since each social network's topology differs. Equilibrium changes with the change on topology of each netwo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07342","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":"2026-05-18T01:25:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gHvuYorIafAx4OA5AB/HsofpWdtpUNn9U9MSYHWXNLZCKtHsKX6SYVEjCqzS7QPadgFH+GGYQ1SCA4Aq6JBTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T13:00:10.047893Z"},"content_sha256":"48eefb83262edae784d417102191f6beb0fa44746699952b5398b0de0086bf1c","schema_version":"1.0","event_id":"sha256:48eefb83262edae784d417102191f6beb0fa44746699952b5398b0de0086bf1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P5GOAAS4GUOUXA3T4Q2FPCULUU/bundle.json","state_url":"https://pith.science/pith/P5GOAAS4GUOUXA3T4Q2FPCULUU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P5GOAAS4GUOUXA3T4Q2FPCULUU/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":"2026-05-19T13:00:10Z","links":{"resolver":"https://pith.science/pith/P5GOAAS4GUOUXA3T4Q2FPCULUU","bundle":"https://pith.science/pith/P5GOAAS4GUOUXA3T4Q2FPCULUU/bundle.json","state":"https://pith.science/pith/P5GOAAS4GUOUXA3T4Q2FPCULUU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P5GOAAS4GUOUXA3T4Q2FPCULUU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:P5GOAAS4GUOUXA3T4Q2FPCULUU","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":"c0726573255d4d1f59189820bdc2829a59c3428a3600a161521f89f0a778f008","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-10-26T01:06:54Z","title_canon_sha256":"ab78969db1cb66be5887d808d9425d87117d6082171e560d9213876f96472d6e"},"schema_version":"1.0","source":{"id":"1510.07342","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07342","created_at":"2026-05-18T01:25:56Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07342v1","created_at":"2026-05-18T01:25:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07342","created_at":"2026-05-18T01:25:56Z"},{"alias_kind":"pith_short_12","alias_value":"P5GOAAS4GUOU","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"P5GOAAS4GUOUXA3T","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"P5GOAAS4","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:48eefb83262edae784d417102191f6beb0fa44746699952b5398b0de0086bf1c","target":"graph","created_at":"2026-05-18T01:25:56Z","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":"In this paper, we investigate stable matching in structured networks. Consider case of matching in social networks where candidates are not fully connected. A candidate on one side of the market gets acquaintance with which one on the heterogeneous side depends on the structured network. We explore four well-used structures of networks and define the social circle by the distance between each candidate. When matching within social circle, we have equilibrium distinguishes from each other since each social network's topology differs. Equilibrium changes with the change on topology of each netwo","authors_text":"Tao Wan, Ying Ling, Zengchang Qin","cross_cats":["cs.SI","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-10-26T01:06:54Z","title":"Stable Matching with Incomplete Information in Structured Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07342","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":"sha256:47aa16495edad4983ffd043d251222f503830c11a196b7af630a8584075081aa","target":"record","created_at":"2026-05-18T01:25:56Z","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":"c0726573255d4d1f59189820bdc2829a59c3428a3600a161521f89f0a778f008","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-10-26T01:06:54Z","title_canon_sha256":"ab78969db1cb66be5887d808d9425d87117d6082171e560d9213876f96472d6e"},"schema_version":"1.0","source":{"id":"1510.07342","kind":"arxiv","version":1}},"canonical_sha256":"7f4ce0025c351d4b8373e434578a8ba50c45f24e661531ac8ac8480ecdc7ae73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f4ce0025c351d4b8373e434578a8ba50c45f24e661531ac8ac8480ecdc7ae73","first_computed_at":"2026-05-18T01:25:56.953279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:56.953279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XRh9xOiaIU/8wI5YG4+vxS7KtuvvvaIucUL0xnCkNT2GZwEbTSxOGafQz46j7SjFtuS4YpcR2srZFHzb72+KBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:56.954116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07342","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47aa16495edad4983ffd043d251222f503830c11a196b7af630a8584075081aa","sha256:48eefb83262edae784d417102191f6beb0fa44746699952b5398b0de0086bf1c"],"state_sha256":"afb880fc397e0062cd217e2fad6dcb11c0a77a28b7d6149b2a304edac50905d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H9R36NDEVsRsWOc3AjiM7gXB/M3oPFIHEp+RyxuzhYdFHBkuMHDYHX0uz5Hx8K2yw/i7LCmA46tEzIRG0tukBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T13:00:10.049482Z","bundle_sha256":"4a6d491e4c72d31fa76fca3e6c655aded396322cab3794fdf604609d3d05067a"}}