{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:O2Z5Z2C3ALVHWYMCZBUR4AGFXH","short_pith_number":"pith:O2Z5Z2C3","canonical_record":{"source":{"id":"1211.5802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-25T20:31:18Z","cross_cats_sorted":[],"title_canon_sha256":"765de3c72c08830ba8d6cb6389ab6b1fdac5a3f6f8da48137c4f518117479966","abstract_canon_sha256":"4d6ec2fa53d3a61f6a9aa5b661c5395de7abed31561cd9dae027bd16516f5a92"},"schema_version":"1.0"},"canonical_sha256":"76b3dce85b02ea7b6182c8691e00c5b9d3fd0bec80535cd79eb7f11a0b32c2d5","source":{"kind":"arxiv","id":"1211.5802","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5802","created_at":"2026-05-18T03:40:01Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5802v1","created_at":"2026-05-18T03:40:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5802","created_at":"2026-05-18T03:40:01Z"},{"alias_kind":"pith_short_12","alias_value":"O2Z5Z2C3ALVH","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O2Z5Z2C3ALVHWYMC","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O2Z5Z2C3","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:O2Z5Z2C3ALVHWYMCZBUR4AGFXH","target":"record","payload":{"canonical_record":{"source":{"id":"1211.5802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-25T20:31:18Z","cross_cats_sorted":[],"title_canon_sha256":"765de3c72c08830ba8d6cb6389ab6b1fdac5a3f6f8da48137c4f518117479966","abstract_canon_sha256":"4d6ec2fa53d3a61f6a9aa5b661c5395de7abed31561cd9dae027bd16516f5a92"},"schema_version":"1.0"},"canonical_sha256":"76b3dce85b02ea7b6182c8691e00c5b9d3fd0bec80535cd79eb7f11a0b32c2d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:01.913115Z","signature_b64":"sV+u5EE6ThXIH+Q3W264wI4+NIfa/c9LvzpQSNnyugRJY+n5jRXnrrpGxC0McVJWBzri5NnhVFCdoOC9Ng+vAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76b3dce85b02ea7b6182c8691e00c5b9d3fd0bec80535cd79eb7f11a0b32c2d5","last_reissued_at":"2026-05-18T03:40:01.912559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:01.912559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.5802","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":"2026-05-18T03:40:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+pxYiOGMP7GcNo5IzcC1Cfz+K1wkfD8yNolFFgMgufKM6tVK53FGKN/pGCSLyq4lJpaDvAAPyKbVBrfXWYr0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:22:58.800595Z"},"content_sha256":"fbbf358c7c83b6e3a17903a96218e42dc03787d932b928a7914c82044066e100","schema_version":"1.0","event_id":"sha256:fbbf358c7c83b6e3a17903a96218e42dc03787d932b928a7914c82044066e100"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:O2Z5Z2C3ALVHWYMCZBUR4AGFXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random Stopping Times in Stopping Problems and Stopping Games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Boris Tsirelson, Eilon Solan, Nicolas Vieille","submitted_at":"2012-11-25T20:31:18Z","abstract_excerpt":"Three notions of random stopping times exist in the literature. We introduce two concepts of equivalence of random stopping times, motivated by optimal stopping problems and stopping games respectively. We prove that these two concepts coincide and that the three notions of random stopping times are equivalent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5802","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":"2026-05-18T03:40:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NYUe+TUzxEI4wD+ZvaQDWvDhA26CPsVgup1Aud3RgIn3ZNr5KzEnQIt7TW4Cx9FszRbVxeFf03uVe7fdZeHCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T16:22:58.800936Z"},"content_sha256":"8fd151c1023a4d9664f5cfee454383d51821677bac5b754e9f4a49e8860ed3c2","schema_version":"1.0","event_id":"sha256:8fd151c1023a4d9664f5cfee454383d51821677bac5b754e9f4a49e8860ed3c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O2Z5Z2C3ALVHWYMCZBUR4AGFXH/bundle.json","state_url":"https://pith.science/pith/O2Z5Z2C3ALVHWYMCZBUR4AGFXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O2Z5Z2C3ALVHWYMCZBUR4AGFXH/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":"2026-06-02T16:22:58Z","links":{"resolver":"https://pith.science/pith/O2Z5Z2C3ALVHWYMCZBUR4AGFXH","bundle":"https://pith.science/pith/O2Z5Z2C3ALVHWYMCZBUR4AGFXH/bundle.json","state":"https://pith.science/pith/O2Z5Z2C3ALVHWYMCZBUR4AGFXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O2Z5Z2C3ALVHWYMCZBUR4AGFXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:O2Z5Z2C3ALVHWYMCZBUR4AGFXH","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":"4d6ec2fa53d3a61f6a9aa5b661c5395de7abed31561cd9dae027bd16516f5a92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-25T20:31:18Z","title_canon_sha256":"765de3c72c08830ba8d6cb6389ab6b1fdac5a3f6f8da48137c4f518117479966"},"schema_version":"1.0","source":{"id":"1211.5802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.5802","created_at":"2026-05-18T03:40:01Z"},{"alias_kind":"arxiv_version","alias_value":"1211.5802v1","created_at":"2026-05-18T03:40:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5802","created_at":"2026-05-18T03:40:01Z"},{"alias_kind":"pith_short_12","alias_value":"O2Z5Z2C3ALVH","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O2Z5Z2C3ALVHWYMC","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O2Z5Z2C3","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:8fd151c1023a4d9664f5cfee454383d51821677bac5b754e9f4a49e8860ed3c2","target":"graph","created_at":"2026-05-18T03:40:01Z","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":"Three notions of random stopping times exist in the literature. We introduce two concepts of equivalence of random stopping times, motivated by optimal stopping problems and stopping games respectively. We prove that these two concepts coincide and that the three notions of random stopping times are equivalent.","authors_text":"Boris Tsirelson, Eilon Solan, Nicolas Vieille","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-25T20:31:18Z","title":"Random Stopping Times in Stopping Problems and Stopping Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5802","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:fbbf358c7c83b6e3a17903a96218e42dc03787d932b928a7914c82044066e100","target":"record","created_at":"2026-05-18T03:40:01Z","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":"4d6ec2fa53d3a61f6a9aa5b661c5395de7abed31561cd9dae027bd16516f5a92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-25T20:31:18Z","title_canon_sha256":"765de3c72c08830ba8d6cb6389ab6b1fdac5a3f6f8da48137c4f518117479966"},"schema_version":"1.0","source":{"id":"1211.5802","kind":"arxiv","version":1}},"canonical_sha256":"76b3dce85b02ea7b6182c8691e00c5b9d3fd0bec80535cd79eb7f11a0b32c2d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76b3dce85b02ea7b6182c8691e00c5b9d3fd0bec80535cd79eb7f11a0b32c2d5","first_computed_at":"2026-05-18T03:40:01.912559Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:01.912559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sV+u5EE6ThXIH+Q3W264wI4+NIfa/c9LvzpQSNnyugRJY+n5jRXnrrpGxC0McVJWBzri5NnhVFCdoOC9Ng+vAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:01.913115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.5802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbbf358c7c83b6e3a17903a96218e42dc03787d932b928a7914c82044066e100","sha256:8fd151c1023a4d9664f5cfee454383d51821677bac5b754e9f4a49e8860ed3c2"],"state_sha256":"eeb66693d0cfc754508184dba3204afbe3d11ba14b1a0058d253787bc836ab98"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D46oDT4FhoPoVGZdc5HBlrf35E00RAZ1cmCmgaNFJ9Xq617qmJmqrvdwYYsAq2LCiTR/67t9I5UOcF8GiQcwCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T16:22:58.802763Z","bundle_sha256":"35fbe418bf14bafa9083d8445d64ef49108e22879a8f45dd30fe64422be709aa"}}