{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XLKHEHC6DRMLK7P7JNOEX4FXPP","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":"217b911b6ad4f5e3bfab2c0020aee4d6a45b5a7192b0480940fd0dd70ff530f2","cross_cats_sorted":["physics.soc-ph","q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.TR","submitted_at":"2013-12-13T15:01:37Z","title_canon_sha256":"57f21de47f2dd16e7d151761b3447e92979039528c1bf4aa3c427f3043ca8350"},"schema_version":"1.0","source":{"id":"1312.3826","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3826","created_at":"2026-05-18T02:55:38Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3826v1","created_at":"2026-05-18T02:55:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3826","created_at":"2026-05-18T02:55:38Z"},{"alias_kind":"pith_short_12","alias_value":"XLKHEHC6DRML","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XLKHEHC6DRMLK7P7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XLKHEHC6","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:ccfd0a27f122845eac1ed8ffda521bb7122d7247fe84d9d7c384aa28fd1e6191","target":"graph","created_at":"2026-05-18T02:55:38Z","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 develop a probabilistic consumer choice framework based on information asymmetry between consumers and firms. This framework makes it possible to study market competition of several firms by both quality and price of their products. We find Nash market equilibria and other optimal strategies in various situations ranging from competition of two identical firms to firms of different sizes and firms which improve their efficiency.","authors_text":"Duanbing Chen, Hao Liao, Matus Medo, Rui Xiao, Yi-Cheng Zhang","cross_cats":["physics.soc-ph","q-fin.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.TR","submitted_at":"2013-12-13T15:01:37Z","title":"Firm competition in a probabilistic framework of consumer choice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3826","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:d741b7d684c4ff576f088d707cd271097b62a8536646c35760d2ce09e21533a4","target":"record","created_at":"2026-05-18T02:55:38Z","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":"217b911b6ad4f5e3bfab2c0020aee4d6a45b5a7192b0480940fd0dd70ff530f2","cross_cats_sorted":["physics.soc-ph","q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.TR","submitted_at":"2013-12-13T15:01:37Z","title_canon_sha256":"57f21de47f2dd16e7d151761b3447e92979039528c1bf4aa3c427f3043ca8350"},"schema_version":"1.0","source":{"id":"1312.3826","kind":"arxiv","version":1}},"canonical_sha256":"bad4721c5e1c58b57dff4b5c4bf0b77bc47d087080fb7ed0b5fa92bda60cadbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bad4721c5e1c58b57dff4b5c4bf0b77bc47d087080fb7ed0b5fa92bda60cadbf","first_computed_at":"2026-05-18T02:55:38.200530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:38.200530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"In0KTSmBvpqut96SWZ3nLq4aYUlDmrrg7sd21IwQmPavCWKW1j0G3Nh5i8JcZSOuxBjIh0CDVQazLfpH3BGwDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:38.201262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.3826","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d741b7d684c4ff576f088d707cd271097b62a8536646c35760d2ce09e21533a4","sha256:ccfd0a27f122845eac1ed8ffda521bb7122d7247fe84d9d7c384aa28fd1e6191"],"state_sha256":"f22086a17072a3e0302871add0d6b19f0df146caaa70260396c2a46902ca3a31"}