{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ZCLX5SAU4BK7TIQ4Z6T5JEZ24H","short_pith_number":"pith:ZCLX5SAU","canonical_record":{"source":{"id":"1403.1217","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T18:40:41Z","cross_cats_sorted":[],"title_canon_sha256":"780ce7b00e3d655fa4f535e6735fa24de8471c1935979152461c2f67ec65bb8c","abstract_canon_sha256":"95ee79e702aee544396416baf1d8463aeeed0591027627af3d767faf51ff2665"},"schema_version":"1.0"},"canonical_sha256":"c8977ec814e055f9a21ccfa7d4933ae1c772d15e607006e24143275488da6a62","source":{"kind":"arxiv","id":"1403.1217","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1217","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1217v1","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1217","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"pith_short_12","alias_value":"ZCLX5SAU4BK7","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZCLX5SAU4BK7TIQ4","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZCLX5SAU","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ZCLX5SAU4BK7TIQ4Z6T5JEZ24H","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1217","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T18:40:41Z","cross_cats_sorted":[],"title_canon_sha256":"780ce7b00e3d655fa4f535e6735fa24de8471c1935979152461c2f67ec65bb8c","abstract_canon_sha256":"95ee79e702aee544396416baf1d8463aeeed0591027627af3d767faf51ff2665"},"schema_version":"1.0"},"canonical_sha256":"c8977ec814e055f9a21ccfa7d4933ae1c772d15e607006e24143275488da6a62","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:14.769216Z","signature_b64":"nQBM46YMagz2EXiTs1V9prfZ2+B10ikOAF5aq2478uhgH2Ay2EIjbhb29EtpnPatLD/8QQRrNC4fo2mO522aCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8977ec814e055f9a21ccfa7d4933ae1c772d15e607006e24143275488da6a62","last_reissued_at":"2026-05-18T02:51:14.768714Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:14.768714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1217","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":"2026-05-18T02:51:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZLUsCf3V5oDKNLav0WFx5k8HuyFDrndFdnBbD2yAKx/P+vXAdtiZUBqTH92N6WodcWvpPFuFpFxZ2sXgz+XmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:37:10.382985Z"},"content_sha256":"505c33f3435a76f91cad2c770a25e5cdf9750f076a9d05f2a9e0615e471c0360","schema_version":"1.0","event_id":"sha256:505c33f3435a76f91cad2c770a25e5cdf9750f076a9d05f2a9e0615e471c0360"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ZCLX5SAU4BK7TIQ4Z6T5JEZ24H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semi-Lagrangian schemes for linear and fully non-linear Hamilton-Jacobi-Bellman equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Espen R. Jakobsen, Kristian Debrabant","submitted_at":"2014-03-05T18:40:41Z","abstract_excerpt":"We consider the numerical solution of Hamilton-Jacobi-Bellman equations arising in stochastic control theory. We introduce a class of monotone approximation schemes relying on monotone interpolation. These schemes converge under very weak assumptions, including the case of arbitrary degenerate diffusions. Besides providing a unifying framework that includes several known first order accurate schemes, stability and convergence results are given, along with two different robust error estimates. Finally, the method is applied to a super-replication problem from finance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1217","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":"2026-05-18T02:51:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4unAQzSIRdqLwkuBgveYG6jtQiLAqK9dA78GyvNA7I4HDVhTblCxvWoetEnfwDR6qbP0XhDhFhzC7N6dDA3jBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:37:10.383613Z"},"content_sha256":"5e514339ae7fe61e530d0481365d6ebbca5d714a7cc35c9b27f4d6b7c5fb3dba","schema_version":"1.0","event_id":"sha256:5e514339ae7fe61e530d0481365d6ebbca5d714a7cc35c9b27f4d6b7c5fb3dba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZCLX5SAU4BK7TIQ4Z6T5JEZ24H/bundle.json","state_url":"https://pith.science/pith/ZCLX5SAU4BK7TIQ4Z6T5JEZ24H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZCLX5SAU4BK7TIQ4Z6T5JEZ24H/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":"2026-06-10T11:37:10Z","links":{"resolver":"https://pith.science/pith/ZCLX5SAU4BK7TIQ4Z6T5JEZ24H","bundle":"https://pith.science/pith/ZCLX5SAU4BK7TIQ4Z6T5JEZ24H/bundle.json","state":"https://pith.science/pith/ZCLX5SAU4BK7TIQ4Z6T5JEZ24H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZCLX5SAU4BK7TIQ4Z6T5JEZ24H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZCLX5SAU4BK7TIQ4Z6T5JEZ24H","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":"95ee79e702aee544396416baf1d8463aeeed0591027627af3d767faf51ff2665","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T18:40:41Z","title_canon_sha256":"780ce7b00e3d655fa4f535e6735fa24de8471c1935979152461c2f67ec65bb8c"},"schema_version":"1.0","source":{"id":"1403.1217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1217","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1217v1","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1217","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"pith_short_12","alias_value":"ZCLX5SAU4BK7","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZCLX5SAU4BK7TIQ4","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZCLX5SAU","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:5e514339ae7fe61e530d0481365d6ebbca5d714a7cc35c9b27f4d6b7c5fb3dba","target":"graph","created_at":"2026-05-18T02:51:14Z","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 consider the numerical solution of Hamilton-Jacobi-Bellman equations arising in stochastic control theory. We introduce a class of monotone approximation schemes relying on monotone interpolation. These schemes converge under very weak assumptions, including the case of arbitrary degenerate diffusions. Besides providing a unifying framework that includes several known first order accurate schemes, stability and convergence results are given, along with two different robust error estimates. Finally, the method is applied to a super-replication problem from finance.","authors_text":"Espen R. Jakobsen, Kristian Debrabant","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T18:40:41Z","title":"Semi-Lagrangian schemes for linear and fully non-linear Hamilton-Jacobi-Bellman equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1217","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":"sha256:505c33f3435a76f91cad2c770a25e5cdf9750f076a9d05f2a9e0615e471c0360","target":"record","created_at":"2026-05-18T02:51:14Z","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":"95ee79e702aee544396416baf1d8463aeeed0591027627af3d767faf51ff2665","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T18:40:41Z","title_canon_sha256":"780ce7b00e3d655fa4f535e6735fa24de8471c1935979152461c2f67ec65bb8c"},"schema_version":"1.0","source":{"id":"1403.1217","kind":"arxiv","version":1}},"canonical_sha256":"c8977ec814e055f9a21ccfa7d4933ae1c772d15e607006e24143275488da6a62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8977ec814e055f9a21ccfa7d4933ae1c772d15e607006e24143275488da6a62","first_computed_at":"2026-05-18T02:51:14.768714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:14.768714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nQBM46YMagz2EXiTs1V9prfZ2+B10ikOAF5aq2478uhgH2Ay2EIjbhb29EtpnPatLD/8QQRrNC4fo2mO522aCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:14.769216Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:505c33f3435a76f91cad2c770a25e5cdf9750f076a9d05f2a9e0615e471c0360","sha256:5e514339ae7fe61e530d0481365d6ebbca5d714a7cc35c9b27f4d6b7c5fb3dba"],"state_sha256":"a4a203fc32f96e07b83d48a8be331f4bfa283e73a544332cb5469b53b74ac05d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ae9Z63LSCrksA7qqg3I/PNTEFDAQ1TXHKkPFW65rk4kOqTCeoTCxYZoX62OM1kWmKzYCeHYzVNYVcyPNdDXjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T11:37:10.388032Z","bundle_sha256":"26f20bc7876a738c946dffc22454133e4c9f6f2f3ead2cb4eb2712ff7334bbe1"}}