{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PTBUKFIYZLVS73Z3GKF3CAMAOG","short_pith_number":"pith:PTBUKFIY","canonical_record":{"source":{"id":"1801.02271","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-07T23:24:59Z","cross_cats_sorted":[],"title_canon_sha256":"124fc198388e147126318370fbaaf0118b37116078c231fe35c30549fd763d59","abstract_canon_sha256":"9e321b13e77c2805ee5b6eaea928eb08a8b56b2e6e49be59d704bb321367dace"},"schema_version":"1.0"},"canonical_sha256":"7cc3451518caeb2fef3b328bb1018071ac95d4fe8805b473bba09ed5210b7451","source":{"kind":"arxiv","id":"1801.02271","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.02271","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"arxiv_version","alias_value":"1801.02271v1","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02271","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"pith_short_12","alias_value":"PTBUKFIYZLVS","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"pith_short_16","alias_value":"PTBUKFIYZLVS73Z3","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"pith_short_8","alias_value":"PTBUKFIY","created_at":"2026-07-05T05:31:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PTBUKFIYZLVS73Z3GKF3CAMAOG","target":"record","payload":{"canonical_record":{"source":{"id":"1801.02271","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-07T23:24:59Z","cross_cats_sorted":[],"title_canon_sha256":"124fc198388e147126318370fbaaf0118b37116078c231fe35c30549fd763d59","abstract_canon_sha256":"9e321b13e77c2805ee5b6eaea928eb08a8b56b2e6e49be59d704bb321367dace"},"schema_version":"1.0"},"canonical_sha256":"7cc3451518caeb2fef3b328bb1018071ac95d4fe8805b473bba09ed5210b7451","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:31:09.172978Z","signature_b64":"dkC7iJsDbYt65PyHbWte0/zs4vWJgNZm+upwUo0/1rdz/+LgufUCIUzMxpuMbSbyRY+dNO9xvzS2aXwtZ6WGAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cc3451518caeb2fef3b328bb1018071ac95d4fe8805b473bba09ed5210b7451","last_reissued_at":"2026-07-05T05:31:09.172521Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:31:09.172521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.02271","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":"2026-07-05T05:31:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NWXppM5zjBds3x8rn8PG7A9+sY9zSXpSfIzxtEU9OjOPArKenFWhz/dVWcudiff5y9KUKk6PfcJK94t0V1ubCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-25T23:29:51.611616Z"},"content_sha256":"fe1d48e91337f3153e425842105e557858daf3c2a642e63e83dde087e8ae6ee4","schema_version":"1.0","event_id":"sha256:fe1d48e91337f3153e425842105e557858daf3c2a642e63e83dde087e8ae6ee4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PTBUKFIYZLVS73Z3GKF3CAMAOG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reflected forward-backward stochastic differential equations driven by G-Brownian motion with continuous monotone coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Bingjun Wang, Hongjun Gao, Mei Li","submitted_at":"2018-01-07T23:24:59Z","abstract_excerpt":"In this paper, we prove that there exists at least one solution for the reflected forward-backward stochastic differential equation driven by G-Brownian motion satisfying the obstacle constraint with monotone coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02271","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1801.02271/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:31:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2y6I/QgFji4xANB1VTk7zm2uPS5q0MJinwyCeSrk0tX1mhQ2Z4ZbA6sWgc+0sEYwmezXlEvZkUVJapPfugbCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-25T23:29:51.611983Z"},"content_sha256":"73d21314a85ededbfe7d90d3f66b1ddeebb63dfceb536b51540093ed5f0a533b","schema_version":"1.0","event_id":"sha256:73d21314a85ededbfe7d90d3f66b1ddeebb63dfceb536b51540093ed5f0a533b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PTBUKFIYZLVS73Z3GKF3CAMAOG/bundle.json","state_url":"https://pith.science/pith/PTBUKFIYZLVS73Z3GKF3CAMAOG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PTBUKFIYZLVS73Z3GKF3CAMAOG/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":"2026-07-25T23:29:51Z","links":{"resolver":"https://pith.science/pith/PTBUKFIYZLVS73Z3GKF3CAMAOG","bundle":"https://pith.science/pith/PTBUKFIYZLVS73Z3GKF3CAMAOG/bundle.json","state":"https://pith.science/pith/PTBUKFIYZLVS73Z3GKF3CAMAOG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PTBUKFIYZLVS73Z3GKF3CAMAOG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PTBUKFIYZLVS73Z3GKF3CAMAOG","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":"9e321b13e77c2805ee5b6eaea928eb08a8b56b2e6e49be59d704bb321367dace","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-07T23:24:59Z","title_canon_sha256":"124fc198388e147126318370fbaaf0118b37116078c231fe35c30549fd763d59"},"schema_version":"1.0","source":{"id":"1801.02271","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.02271","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"arxiv_version","alias_value":"1801.02271v1","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02271","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"pith_short_12","alias_value":"PTBUKFIYZLVS","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"pith_short_16","alias_value":"PTBUKFIYZLVS73Z3","created_at":"2026-07-05T05:31:09Z"},{"alias_kind":"pith_short_8","alias_value":"PTBUKFIY","created_at":"2026-07-05T05:31:09Z"}],"graph_snapshots":[{"event_id":"sha256:73d21314a85ededbfe7d90d3f66b1ddeebb63dfceb536b51540093ed5f0a533b","target":"graph","created_at":"2026-07-05T05:31:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1801.02271/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we prove that there exists at least one solution for the reflected forward-backward stochastic differential equation driven by G-Brownian motion satisfying the obstacle constraint with monotone coefficients.","authors_text":"Bingjun Wang, Hongjun Gao, Mei Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-07T23:24:59Z","title":"Reflected forward-backward stochastic differential equations driven by G-Brownian motion with continuous monotone coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02271","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:fe1d48e91337f3153e425842105e557858daf3c2a642e63e83dde087e8ae6ee4","target":"record","created_at":"2026-07-05T05:31:09Z","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":"9e321b13e77c2805ee5b6eaea928eb08a8b56b2e6e49be59d704bb321367dace","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-07T23:24:59Z","title_canon_sha256":"124fc198388e147126318370fbaaf0118b37116078c231fe35c30549fd763d59"},"schema_version":"1.0","source":{"id":"1801.02271","kind":"arxiv","version":1}},"canonical_sha256":"7cc3451518caeb2fef3b328bb1018071ac95d4fe8805b473bba09ed5210b7451","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cc3451518caeb2fef3b328bb1018071ac95d4fe8805b473bba09ed5210b7451","first_computed_at":"2026-07-05T05:31:09.172521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:31:09.172521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dkC7iJsDbYt65PyHbWte0/zs4vWJgNZm+upwUo0/1rdz/+LgufUCIUzMxpuMbSbyRY+dNO9xvzS2aXwtZ6WGAg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:31:09.172978Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.02271","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe1d48e91337f3153e425842105e557858daf3c2a642e63e83dde087e8ae6ee4","sha256:73d21314a85ededbfe7d90d3f66b1ddeebb63dfceb536b51540093ed5f0a533b"],"state_sha256":"3df1cf092425dc345e9b86a9ec0a807e4910a847b31f5f232dfe32e59e685686"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xlYc3HGM8pRhAegPqK0K76HrGzSCLUXsngFZZmzskQN0BsG2ZHcg2wOaAZSQ8Jo0vH/VhdDS+EmnP6uKCwGwDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-25T23:29:51.614127Z","bundle_sha256":"8890c4eb08f2d5e637da27e04f1eb99cb196b91c718856666fa3fd1fa6e3ffd0"}}