{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LULVSUAA4EIL2V2SJ35SFSBK7O","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":"da011395b9eea5a8d9a0db57a9ed4148571228fa5725f704cfd66718aae6411a","cross_cats_sorted":["cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2012-04-25T21:48:45Z","title_canon_sha256":"5f49747fbe7558cd5a0db9cf125a6c33605b3066ecc41d94cd392b0a9cd62714"},"schema_version":"1.0","source":{"id":"1204.5780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5780","created_at":"2026-05-18T03:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5780v1","created_at":"2026-05-18T03:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5780","created_at":"2026-05-18T03:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"LULVSUAA4EIL","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LULVSUAA4EIL2V2S","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LULVSUAA","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:5e5771050e8a6ddc02155d01d74cd592243a28e590df1e1e88c24ab2d6320cc8","target":"graph","created_at":"2026-05-18T03:56:59Z","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 study stable matching problems in networks where players are embedded in a social context, and may incorporate friendship relations or altruism into their decisions. Each player is a node in a social network and strives to form a good match with a neighboring player. We consider the existence, computation, and inefficiency of stable matchings from which no pair of players wants to deviate. When the benefits from a match are the same for both players, we show that incorporating the well-being of other players into their matching decisions significantly decreases the price of stability, while","authors_text":"Elliot Anshelevich, Martin Hoefer, Onkar Bhardwaj","cross_cats":["cs.MA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2012-04-25T21:48:45Z","title":"Friendship, Altruism, and Reward Sharing in Stable Matching and Contribution Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5780","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":"sha256:06c3f0f9fea8658c8c356fc89cc5c767323a7d14c5d78aa1778d27c951fc7537","target":"record","created_at":"2026-05-18T03:56:59Z","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":"da011395b9eea5a8d9a0db57a9ed4148571228fa5725f704cfd66718aae6411a","cross_cats_sorted":["cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2012-04-25T21:48:45Z","title_canon_sha256":"5f49747fbe7558cd5a0db9cf125a6c33605b3066ecc41d94cd392b0a9cd62714"},"schema_version":"1.0","source":{"id":"1204.5780","kind":"arxiv","version":1}},"canonical_sha256":"5d17595000e110bd57524efb22c82afb95df4cd5eac9daee60cf74459215e15e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d17595000e110bd57524efb22c82afb95df4cd5eac9daee60cf74459215e15e","first_computed_at":"2026-05-18T03:56:59.615119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:59.615119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yw23zmzso3voLInA4De8Ap386gDqOB3r+jvi/85Cy9NQYgn5XC3MiGZjzdNLhomQVC4ws+6LfAAs5Q2CEf1SBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:59.617233Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06c3f0f9fea8658c8c356fc89cc5c767323a7d14c5d78aa1778d27c951fc7537","sha256:5e5771050e8a6ddc02155d01d74cd592243a28e590df1e1e88c24ab2d6320cc8"],"state_sha256":"8f03194628e5009700667f7a4317e214704bfdc8b0123332bd0abe739f279469"}