{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SULYS55COYDHRBRHABJDD63LQB","short_pith_number":"pith:SULYS55C","canonical_record":{"source":{"id":"1406.3656","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-13T21:56:13Z","cross_cats_sorted":[],"title_canon_sha256":"cda7053eb4b68851c4bf8194f89ba7ea02cf9a31339287989c609f25a7269ead","abstract_canon_sha256":"c07177f8d970edb131cbb7359883b34f1697d811c94a409c67d1fb470ad34937"},"schema_version":"1.0"},"canonical_sha256":"95178977a27606788627005231fb6b8043e053d2a64d01f944c24e6719dc1bf2","source":{"kind":"arxiv","id":"1406.3656","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3656","created_at":"2026-05-18T01:20:26Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3656v1","created_at":"2026-05-18T01:20:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3656","created_at":"2026-05-18T01:20:26Z"},{"alias_kind":"pith_short_12","alias_value":"SULYS55COYDH","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SULYS55COYDHRBRH","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SULYS55C","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SULYS55COYDHRBRHABJDD63LQB","target":"record","payload":{"canonical_record":{"source":{"id":"1406.3656","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-13T21:56:13Z","cross_cats_sorted":[],"title_canon_sha256":"cda7053eb4b68851c4bf8194f89ba7ea02cf9a31339287989c609f25a7269ead","abstract_canon_sha256":"c07177f8d970edb131cbb7359883b34f1697d811c94a409c67d1fb470ad34937"},"schema_version":"1.0"},"canonical_sha256":"95178977a27606788627005231fb6b8043e053d2a64d01f944c24e6719dc1bf2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:26.528944Z","signature_b64":"d7t1e6kxlJ9rqFulxN3jfTZqvbBq9sdcngEhrV5XjKx/W/hRxgPxBZ+/N8Hbhjdn/prE4w9rk1IxwM7whD9gAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95178977a27606788627005231fb6b8043e053d2a64d01f944c24e6719dc1bf2","last_reissued_at":"2026-05-18T01:20:26.528466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:26.528466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.3656","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":"2026-05-18T01:20:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"APULhc3xcI2LSs6u9IBqyobuWJaT2bytw0BkmKCMtAqB1DvMhyFFYZcXuq/grEM1DvWZcmxkuOpxS8VtSnWoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T09:18:29.495813Z"},"content_sha256":"c4cc7bc81c512b2bfcd86ed9840f49ae655b22f31e04b3886689a48c1b1f420e","schema_version":"1.0","event_id":"sha256:c4cc7bc81c512b2bfcd86ed9840f49ae655b22f31e04b3886689a48c1b1f420e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SULYS55COYDHRBRHABJDD63LQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two semi-Lagrangian fast methods for Hamilton-Jacobi-Bellman equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Emiliano Cristiani, Maurizio Falcone, Simone Cacace","submitted_at":"2014-06-13T21:56:13Z","abstract_excerpt":"In this paper we apply the Fast Iterative Method (FIM) for solving general Hamilton-Jacobi-Bellman (HJB) equations and we compare the results with an accelerated version of the Fast Sweeping Method (FSM). We find that FIM can be indeed used to solve HJB equations with no relevant modifications with respect to the original algorithm proposed for the eikonal equation, and that it overcomes FSM in many cases. Observing the evolution of the active list of nodes for FIM, we recover another numerical validation of the arguments recently discussed in [Cacace et al., SISC 36 (2014), A570-A587] about t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3656","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":"2026-05-18T01:20:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vKov3DEuTY46rDZQ2Sw39GgXG0hNul5/fRBmRJnUbMkV/H8U6CccgusbY4pSZSxqU1DdixIbaLEVWji3SubkAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T09:18:29.496161Z"},"content_sha256":"0dfe3ed9fd04898cf6d0e19b16fd6d5bb58ee809d29fe3623b5a7bf461e13d01","schema_version":"1.0","event_id":"sha256:0dfe3ed9fd04898cf6d0e19b16fd6d5bb58ee809d29fe3623b5a7bf461e13d01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SULYS55COYDHRBRHABJDD63LQB/bundle.json","state_url":"https://pith.science/pith/SULYS55COYDHRBRHABJDD63LQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SULYS55COYDHRBRHABJDD63LQB/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":"2026-06-23T09:18:29Z","links":{"resolver":"https://pith.science/pith/SULYS55COYDHRBRHABJDD63LQB","bundle":"https://pith.science/pith/SULYS55COYDHRBRHABJDD63LQB/bundle.json","state":"https://pith.science/pith/SULYS55COYDHRBRHABJDD63LQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SULYS55COYDHRBRHABJDD63LQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SULYS55COYDHRBRHABJDD63LQB","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":"c07177f8d970edb131cbb7359883b34f1697d811c94a409c67d1fb470ad34937","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-13T21:56:13Z","title_canon_sha256":"cda7053eb4b68851c4bf8194f89ba7ea02cf9a31339287989c609f25a7269ead"},"schema_version":"1.0","source":{"id":"1406.3656","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3656","created_at":"2026-05-18T01:20:26Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3656v1","created_at":"2026-05-18T01:20:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3656","created_at":"2026-05-18T01:20:26Z"},{"alias_kind":"pith_short_12","alias_value":"SULYS55COYDH","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SULYS55COYDHRBRH","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SULYS55C","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:0dfe3ed9fd04898cf6d0e19b16fd6d5bb58ee809d29fe3623b5a7bf461e13d01","target":"graph","created_at":"2026-05-18T01:20:26Z","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":"In this paper we apply the Fast Iterative Method (FIM) for solving general Hamilton-Jacobi-Bellman (HJB) equations and we compare the results with an accelerated version of the Fast Sweeping Method (FSM). We find that FIM can be indeed used to solve HJB equations with no relevant modifications with respect to the original algorithm proposed for the eikonal equation, and that it overcomes FSM in many cases. Observing the evolution of the active list of nodes for FIM, we recover another numerical validation of the arguments recently discussed in [Cacace et al., SISC 36 (2014), A570-A587] about t","authors_text":"Emiliano Cristiani, Maurizio Falcone, Simone Cacace","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-13T21:56:13Z","title":"Two semi-Lagrangian fast methods for Hamilton-Jacobi-Bellman equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3656","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:c4cc7bc81c512b2bfcd86ed9840f49ae655b22f31e04b3886689a48c1b1f420e","target":"record","created_at":"2026-05-18T01:20:26Z","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":"c07177f8d970edb131cbb7359883b34f1697d811c94a409c67d1fb470ad34937","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-13T21:56:13Z","title_canon_sha256":"cda7053eb4b68851c4bf8194f89ba7ea02cf9a31339287989c609f25a7269ead"},"schema_version":"1.0","source":{"id":"1406.3656","kind":"arxiv","version":1}},"canonical_sha256":"95178977a27606788627005231fb6b8043e053d2a64d01f944c24e6719dc1bf2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95178977a27606788627005231fb6b8043e053d2a64d01f944c24e6719dc1bf2","first_computed_at":"2026-05-18T01:20:26.528466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:26.528466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d7t1e6kxlJ9rqFulxN3jfTZqvbBq9sdcngEhrV5XjKx/W/hRxgPxBZ+/N8Hbhjdn/prE4w9rk1IxwM7whD9gAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:26.528944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3656","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4cc7bc81c512b2bfcd86ed9840f49ae655b22f31e04b3886689a48c1b1f420e","sha256:0dfe3ed9fd04898cf6d0e19b16fd6d5bb58ee809d29fe3623b5a7bf461e13d01"],"state_sha256":"5229da785d2315bb524e4d78c398ca4657286fe04bd5ecb8d5aabbe0d2b430d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N6ernwEEZ8bXCPQ+vV7kLAl0O3IMfi7ZS8Ff6rcoaSkfW0IrsRM6JcZMFrtZ3nnYGmbfhcSzjFE1tZKxI7DgBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T09:18:29.498158Z","bundle_sha256":"6a9fdd44bd61bc4ce0f3d591ee62823077c08f2b2e853fe462a8b4e3c4ebfe49"}}