{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:J23F3MN4KNS3FQTD7P6Q6H4QES","short_pith_number":"pith:J23F3MN4","canonical_record":{"source":{"id":"1807.03893","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.GN","submitted_at":"2018-07-10T22:37:20Z","cross_cats_sorted":["q-fin.EC"],"title_canon_sha256":"c633bc1171e34525d97c42531279a845923a48edb3103520f98a35fa7185e22e","abstract_canon_sha256":"63e3d0ffdb76df1d256b88ae4f6dedc6a4d34db3b7a0ad078298c44a19d975ae"},"schema_version":"1.0"},"canonical_sha256":"4eb65db1bc5365b2c263fbfd0f1f9024b3572440e2674756599d79e69a8d6d0a","source":{"kind":"arxiv","id":"1807.03893","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.03893","created_at":"2026-05-18T00:10:16Z"},{"alias_kind":"arxiv_version","alias_value":"1807.03893v1","created_at":"2026-05-18T00:10:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.03893","created_at":"2026-05-18T00:10:16Z"},{"alias_kind":"pith_short_12","alias_value":"J23F3MN4KNS3","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J23F3MN4KNS3FQTD","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J23F3MN4","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:J23F3MN4KNS3FQTD7P6Q6H4QES","target":"record","payload":{"canonical_record":{"source":{"id":"1807.03893","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.GN","submitted_at":"2018-07-10T22:37:20Z","cross_cats_sorted":["q-fin.EC"],"title_canon_sha256":"c633bc1171e34525d97c42531279a845923a48edb3103520f98a35fa7185e22e","abstract_canon_sha256":"63e3d0ffdb76df1d256b88ae4f6dedc6a4d34db3b7a0ad078298c44a19d975ae"},"schema_version":"1.0"},"canonical_sha256":"4eb65db1bc5365b2c263fbfd0f1f9024b3572440e2674756599d79e69a8d6d0a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:16.398297Z","signature_b64":"8nzIGyKChVaDnsEbXjm81RCMI+koCe0gUpYAVKKYgqF6OIFmFdaIROwSVWxBeXOqTCE/np4CRMoNEDoEjbaXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4eb65db1bc5365b2c263fbfd0f1f9024b3572440e2674756599d79e69a8d6d0a","last_reissued_at":"2026-05-18T00:10:16.397679Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:16.397679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.03893","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":"2026-05-18T00:10:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ot5H/wKeFAxiZLJieP7tnXGDy9/cf6U43sI5E1K3drZcJNWq0+XCqgIR7rr7bDC/pzC7N90VMZZfFDOxlPJmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:10:22.573427Z"},"content_sha256":"6434b7975640642bdf2682668c6673a827612cb70d8fb9952894cce105c3d5d6","schema_version":"1.0","event_id":"sha256:6434b7975640642bdf2682668c6673a827612cb70d8fb9952894cce105c3d5d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:J23F3MN4KNS3FQTD7P6Q6H4QES","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Switching Games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.EC"],"primary_cat":"econ.GN","authors_text":"Liangchen Li, Michael Ludkovski","submitted_at":"2018-07-10T22:37:20Z","abstract_excerpt":"We study nonzero-sum stochastic switching games. Two players compete for market dominance through controlling (via timing options) the discrete-state market regime $M$. Switching decisions are driven by a continuous stochastic factor $X$ that modulates instantaneous revenue rates and switching costs. This generates a competitive feedback between the short-term fluctuations due to $X$ and the medium-term advantages based on $M$. We construct threshold-type Feedback Nash Equilibria which characterize stationary strategies describing long-run dynamic equilibrium market organization. Two sequentia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.03893","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":"2026-05-18T00:10:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ru9zLxMfztTefR9BTrbxITZ8Uta/8L63NTSVyqHlQHCect2LZ2lUOsKo4og9BJuM5el2hZ5aGa7h35zRuBBhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:10:22.573776Z"},"content_sha256":"9ffc596c216c3778d60eb3c5fd65512c9b0a02dc04be9e52ffe852339ad8d5da","schema_version":"1.0","event_id":"sha256:9ffc596c216c3778d60eb3c5fd65512c9b0a02dc04be9e52ffe852339ad8d5da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J23F3MN4KNS3FQTD7P6Q6H4QES/bundle.json","state_url":"https://pith.science/pith/J23F3MN4KNS3FQTD7P6Q6H4QES/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J23F3MN4KNS3FQTD7P6Q6H4QES/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":"2026-06-24T09:10:22Z","links":{"resolver":"https://pith.science/pith/J23F3MN4KNS3FQTD7P6Q6H4QES","bundle":"https://pith.science/pith/J23F3MN4KNS3FQTD7P6Q6H4QES/bundle.json","state":"https://pith.science/pith/J23F3MN4KNS3FQTD7P6Q6H4QES/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J23F3MN4KNS3FQTD7P6Q6H4QES/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:J23F3MN4KNS3FQTD7P6Q6H4QES","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":"63e3d0ffdb76df1d256b88ae4f6dedc6a4d34db3b7a0ad078298c44a19d975ae","cross_cats_sorted":["q-fin.EC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.GN","submitted_at":"2018-07-10T22:37:20Z","title_canon_sha256":"c633bc1171e34525d97c42531279a845923a48edb3103520f98a35fa7185e22e"},"schema_version":"1.0","source":{"id":"1807.03893","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.03893","created_at":"2026-05-18T00:10:16Z"},{"alias_kind":"arxiv_version","alias_value":"1807.03893v1","created_at":"2026-05-18T00:10:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.03893","created_at":"2026-05-18T00:10:16Z"},{"alias_kind":"pith_short_12","alias_value":"J23F3MN4KNS3","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J23F3MN4KNS3FQTD","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J23F3MN4","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:9ffc596c216c3778d60eb3c5fd65512c9b0a02dc04be9e52ffe852339ad8d5da","target":"graph","created_at":"2026-05-18T00:10:16Z","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 nonzero-sum stochastic switching games. Two players compete for market dominance through controlling (via timing options) the discrete-state market regime $M$. Switching decisions are driven by a continuous stochastic factor $X$ that modulates instantaneous revenue rates and switching costs. This generates a competitive feedback between the short-term fluctuations due to $X$ and the medium-term advantages based on $M$. We construct threshold-type Feedback Nash Equilibria which characterize stationary strategies describing long-run dynamic equilibrium market organization. Two sequentia","authors_text":"Liangchen Li, Michael Ludkovski","cross_cats":["q-fin.EC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.GN","submitted_at":"2018-07-10T22:37:20Z","title":"Stochastic Switching Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.03893","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":"sha256:6434b7975640642bdf2682668c6673a827612cb70d8fb9952894cce105c3d5d6","target":"record","created_at":"2026-05-18T00:10:16Z","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":"63e3d0ffdb76df1d256b88ae4f6dedc6a4d34db3b7a0ad078298c44a19d975ae","cross_cats_sorted":["q-fin.EC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.GN","submitted_at":"2018-07-10T22:37:20Z","title_canon_sha256":"c633bc1171e34525d97c42531279a845923a48edb3103520f98a35fa7185e22e"},"schema_version":"1.0","source":{"id":"1807.03893","kind":"arxiv","version":1}},"canonical_sha256":"4eb65db1bc5365b2c263fbfd0f1f9024b3572440e2674756599d79e69a8d6d0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4eb65db1bc5365b2c263fbfd0f1f9024b3572440e2674756599d79e69a8d6d0a","first_computed_at":"2026-05-18T00:10:16.397679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:16.397679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8nzIGyKChVaDnsEbXjm81RCMI+koCe0gUpYAVKKYgqF6OIFmFdaIROwSVWxBeXOqTCE/np4CRMoNEDoEjbaXAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:16.398297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.03893","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6434b7975640642bdf2682668c6673a827612cb70d8fb9952894cce105c3d5d6","sha256:9ffc596c216c3778d60eb3c5fd65512c9b0a02dc04be9e52ffe852339ad8d5da"],"state_sha256":"87042077a2c584961a5d750e762cafd80803654303cdaf88a31e32d8c493e7ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bSicolcDIlsHfjm4VidlunI93EjjmtZv3Jnrtzqov3IhnkDFk8kScK4Yc5Y9EL81Tpyvnu3dguetCnS6hiK8AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T09:10:22.575723Z","bundle_sha256":"31ce86b2b766fb0f4966ddb5487e6e6c37a8ae6b3d8981919a01878d905de2ee"}}