{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:LXBURXVYL5DPWFSIE4UOPUXAVO","short_pith_number":"pith:LXBURXVY","canonical_record":{"source":{"id":"1905.06564","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-05-16T07:17:31Z","cross_cats_sorted":["econ.GN","math.OC","q-fin.EC"],"title_canon_sha256":"d11772d4ef048f075085e2c35de06b6a1c4db8d9685b4b103d561d7b7ec55f57","abstract_canon_sha256":"dff59d328493d9f3fe5694db129ba98254ff65906703faf19a92e99abc5f9a51"},"schema_version":"1.0"},"canonical_sha256":"5dc348deb85f46fb16482728e7d2e0ab9e562c40dc4327a0b824b9e484ee6acf","source":{"kind":"arxiv","id":"1905.06564","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.06564","created_at":"2026-05-17T23:46:01Z"},{"alias_kind":"arxiv_version","alias_value":"1905.06564v1","created_at":"2026-05-17T23:46:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.06564","created_at":"2026-05-17T23:46:01Z"},{"alias_kind":"pith_short_12","alias_value":"LXBURXVYL5DP","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LXBURXVYL5DPWFSI","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LXBURXVY","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:LXBURXVYL5DPWFSIE4UOPUXAVO","target":"record","payload":{"canonical_record":{"source":{"id":"1905.06564","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-05-16T07:17:31Z","cross_cats_sorted":["econ.GN","math.OC","q-fin.EC"],"title_canon_sha256":"d11772d4ef048f075085e2c35de06b6a1c4db8d9685b4b103d561d7b7ec55f57","abstract_canon_sha256":"dff59d328493d9f3fe5694db129ba98254ff65906703faf19a92e99abc5f9a51"},"schema_version":"1.0"},"canonical_sha256":"5dc348deb85f46fb16482728e7d2e0ab9e562c40dc4327a0b824b9e484ee6acf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:01.880527Z","signature_b64":"fwF3OwwxhrZLBVhEKtpTdOzYeFjjg66/HkFgPu6FjENO9q3xBcxgGgwrkSOIWocihDX6J4+dvafWlAdgVVLwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dc348deb85f46fb16482728e7d2e0ab9e562c40dc4327a0b824b9e484ee6acf","last_reissued_at":"2026-05-17T23:46:01.879677Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:01.879677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.06564","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":"2026-05-17T23:46:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SbBmu7ILEDR6SNEhu6IE5be6F/pCfIkFq2kdOqbH4e0jw/axc3KLt5dVKj5dWg6qEOIJKpkyn8q8kv+qGFfhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:26:56.592870Z"},"content_sha256":"07a6439453f052bff9f49a479234543498dcbb9f9a0b02d92b632d448ef81b21","schema_version":"1.0","event_id":"sha256:07a6439453f052bff9f49a479234543498dcbb9f9a0b02d92b632d448ef81b21"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:LXBURXVYL5DPWFSIE4UOPUXAVO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Playing with ghosts in a Dynkin game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["econ.GN","math.OC","q-fin.EC"],"primary_cat":"math.PR","authors_text":"Erik Ekstr\\\"om, Tiziano De Angelis","submitted_at":"2019-05-16T07:17:31Z","abstract_excerpt":"We study a class of optimal stopping games (Dynkin games) of preemption type, with uncertainty about the existence of competitors. The set-up is well-suited to model, for example, real options in the context of investors who do not want to publicly reveal their interest in a certain business opportunity. We show that there exists a Nash equilibrium in randomized stopping times which is described explicitly in terms of the corresponding one-player game."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.06564","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":"2026-05-17T23:46:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hGN0mwOaUBdIWIQgPZD9Hkq1n83LKRJJYQkCs+U7RB6oAKBm5acIrJIwK2dvTkwPBW7sg0GEKuhkX5czYQyUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:26:56.593221Z"},"content_sha256":"62d8c1f2ef6ba360f3cd9e3577db3c2381c6481a8ec059031a796bdd046ad5ce","schema_version":"1.0","event_id":"sha256:62d8c1f2ef6ba360f3cd9e3577db3c2381c6481a8ec059031a796bdd046ad5ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXBURXVYL5DPWFSIE4UOPUXAVO/bundle.json","state_url":"https://pith.science/pith/LXBURXVYL5DPWFSIE4UOPUXAVO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXBURXVYL5DPWFSIE4UOPUXAVO/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":"2026-06-03T19:26:56Z","links":{"resolver":"https://pith.science/pith/LXBURXVYL5DPWFSIE4UOPUXAVO","bundle":"https://pith.science/pith/LXBURXVYL5DPWFSIE4UOPUXAVO/bundle.json","state":"https://pith.science/pith/LXBURXVYL5DPWFSIE4UOPUXAVO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXBURXVYL5DPWFSIE4UOPUXAVO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LXBURXVYL5DPWFSIE4UOPUXAVO","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":"dff59d328493d9f3fe5694db129ba98254ff65906703faf19a92e99abc5f9a51","cross_cats_sorted":["econ.GN","math.OC","q-fin.EC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-05-16T07:17:31Z","title_canon_sha256":"d11772d4ef048f075085e2c35de06b6a1c4db8d9685b4b103d561d7b7ec55f57"},"schema_version":"1.0","source":{"id":"1905.06564","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.06564","created_at":"2026-05-17T23:46:01Z"},{"alias_kind":"arxiv_version","alias_value":"1905.06564v1","created_at":"2026-05-17T23:46:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.06564","created_at":"2026-05-17T23:46:01Z"},{"alias_kind":"pith_short_12","alias_value":"LXBURXVYL5DP","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LXBURXVYL5DPWFSI","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LXBURXVY","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:62d8c1f2ef6ba360f3cd9e3577db3c2381c6481a8ec059031a796bdd046ad5ce","target":"graph","created_at":"2026-05-17T23:46:01Z","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 a class of optimal stopping games (Dynkin games) of preemption type, with uncertainty about the existence of competitors. The set-up is well-suited to model, for example, real options in the context of investors who do not want to publicly reveal their interest in a certain business opportunity. We show that there exists a Nash equilibrium in randomized stopping times which is described explicitly in terms of the corresponding one-player game.","authors_text":"Erik Ekstr\\\"om, Tiziano De Angelis","cross_cats":["econ.GN","math.OC","q-fin.EC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-05-16T07:17:31Z","title":"Playing with ghosts in a Dynkin game"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.06564","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":"sha256:07a6439453f052bff9f49a479234543498dcbb9f9a0b02d92b632d448ef81b21","target":"record","created_at":"2026-05-17T23:46:01Z","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":"dff59d328493d9f3fe5694db129ba98254ff65906703faf19a92e99abc5f9a51","cross_cats_sorted":["econ.GN","math.OC","q-fin.EC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-05-16T07:17:31Z","title_canon_sha256":"d11772d4ef048f075085e2c35de06b6a1c4db8d9685b4b103d561d7b7ec55f57"},"schema_version":"1.0","source":{"id":"1905.06564","kind":"arxiv","version":1}},"canonical_sha256":"5dc348deb85f46fb16482728e7d2e0ab9e562c40dc4327a0b824b9e484ee6acf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dc348deb85f46fb16482728e7d2e0ab9e562c40dc4327a0b824b9e484ee6acf","first_computed_at":"2026-05-17T23:46:01.879677Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:01.879677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fwF3OwwxhrZLBVhEKtpTdOzYeFjjg66/HkFgPu6FjENO9q3xBcxgGgwrkSOIWocihDX6J4+dvafWlAdgVVLwAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:01.880527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.06564","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07a6439453f052bff9f49a479234543498dcbb9f9a0b02d92b632d448ef81b21","sha256:62d8c1f2ef6ba360f3cd9e3577db3c2381c6481a8ec059031a796bdd046ad5ce"],"state_sha256":"2eba5929a04bcd66cee83d0f2695595a0b8094c92fee5b2eec5cdc35a011f72e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ijW+WshsrBr8Ot+Vw+QCuggF7zDO+mnhrgcYU65/80B4296XeDyyjrso9Xvo37IwCXZEYJso5eVvvM4bLbs3Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T19:26:56.595210Z","bundle_sha256":"88a2bb8bfd948f4d0dec7f63ebcad5ff1b903ce2a075bbf12d3afbbb7516d561"}}