{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JTMMXK54RMBSYXTPPOIT7W2CJ3","short_pith_number":"pith:JTMMXK54","canonical_record":{"source":{"id":"1809.01763","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T23:04:33Z","cross_cats_sorted":["math.NA","math.PR"],"title_canon_sha256":"1a0aa0d72d72df52f4ee28fdc15a500212676817ea7efa2c3d9b3145ebc754b0","abstract_canon_sha256":"9b3ae3c64816765a85de67a91dbef289e8c503e8ad4e9a5f67abb356ab2855c9"},"schema_version":"1.0"},"canonical_sha256":"4cd8cbabbc8b032c5e6f7b913fdb424ed78d3125cad3189ad33ed381038d5a0f","source":{"kind":"arxiv","id":"1809.01763","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01763","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01763v1","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01763","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"JTMMXK54RMBS","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JTMMXK54RMBSYXTP","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JTMMXK54","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JTMMXK54RMBSYXTPPOIT7W2CJ3","target":"record","payload":{"canonical_record":{"source":{"id":"1809.01763","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T23:04:33Z","cross_cats_sorted":["math.NA","math.PR"],"title_canon_sha256":"1a0aa0d72d72df52f4ee28fdc15a500212676817ea7efa2c3d9b3145ebc754b0","abstract_canon_sha256":"9b3ae3c64816765a85de67a91dbef289e8c503e8ad4e9a5f67abb356ab2855c9"},"schema_version":"1.0"},"canonical_sha256":"4cd8cbabbc8b032c5e6f7b913fdb424ed78d3125cad3189ad33ed381038d5a0f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:21.974787Z","signature_b64":"zmckUm/eKqbO15ZtBjeNYBqAvf6Mb/L709xt9QNhGgBREW3A8AkSOIvGlCpK972Gc7IIBdLUHAip6AwoIpYLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cd8cbabbc8b032c5e6f7b913fdb424ed78d3125cad3189ad33ed381038d5a0f","last_reissued_at":"2026-05-18T00:06:21.974214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:21.974214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.01763","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":"2026-05-18T00:06:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a7Y+60A/cSeCRFzTmdMX/vOMNamJYOv+ZRR/L/Gwqb7V6rUdtDM9NOnebObcNusxRJbQ0uWXAJwXebuSmjaoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T05:39:49.407512Z"},"content_sha256":"4a18133481d66faeffe2175d2b1377704b669a4eed2f130473329c81743b1893","schema_version":"1.0","event_id":"sha256:4a18133481d66faeffe2175d2b1377704b669a4eed2f130473329c81743b1893"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JTMMXK54RMBSYXTPPOIT7W2CJ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Zero-diffusion Limit for Aggregation Equations over Bounded Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA","math.PR"],"primary_cat":"math.AP","authors_text":"Daniel Messenger, Hui Huang, Razvan C. Fetecau, Weiran Sun","submitted_at":"2018-09-05T23:04:33Z","abstract_excerpt":"We establish the zero-diffusion limit for both continuous and discrete aggregation models over convex and bounded domains. Compared with a similar zero-diffusion limit derived in [44], our approach is different and relies on a coupling method connecting PDEs with their underlying SDEs. Moreover, our result relaxes the regularity assumptions on the interaction and external potentials and improves the convergence rate (in terms of the diffusion coefficient). The particular rate we derive is shown to be consistent with numerical computations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01763","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":"2026-05-18T00:06:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NIqo1CrAGQGHS5QQrmDAzHn745uSRaKl0ijluvX/jrkOycRvGPA8B6prsf41xFncP3c4znn71zhcDnJTWlvdBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T05:39:49.408215Z"},"content_sha256":"c19c5a2e57cacf6770f9da7a53c31141e3d01f22add8a29662d0e1d6926a4680","schema_version":"1.0","event_id":"sha256:c19c5a2e57cacf6770f9da7a53c31141e3d01f22add8a29662d0e1d6926a4680"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JTMMXK54RMBSYXTPPOIT7W2CJ3/bundle.json","state_url":"https://pith.science/pith/JTMMXK54RMBSYXTPPOIT7W2CJ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JTMMXK54RMBSYXTPPOIT7W2CJ3/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":"2026-06-09T05:39:49Z","links":{"resolver":"https://pith.science/pith/JTMMXK54RMBSYXTPPOIT7W2CJ3","bundle":"https://pith.science/pith/JTMMXK54RMBSYXTPPOIT7W2CJ3/bundle.json","state":"https://pith.science/pith/JTMMXK54RMBSYXTPPOIT7W2CJ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JTMMXK54RMBSYXTPPOIT7W2CJ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JTMMXK54RMBSYXTPPOIT7W2CJ3","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":"9b3ae3c64816765a85de67a91dbef289e8c503e8ad4e9a5f67abb356ab2855c9","cross_cats_sorted":["math.NA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T23:04:33Z","title_canon_sha256":"1a0aa0d72d72df52f4ee28fdc15a500212676817ea7efa2c3d9b3145ebc754b0"},"schema_version":"1.0","source":{"id":"1809.01763","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01763","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01763v1","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01763","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"JTMMXK54RMBS","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JTMMXK54RMBSYXTP","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JTMMXK54","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:c19c5a2e57cacf6770f9da7a53c31141e3d01f22add8a29662d0e1d6926a4680","target":"graph","created_at":"2026-05-18T00:06:21Z","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 establish the zero-diffusion limit for both continuous and discrete aggregation models over convex and bounded domains. Compared with a similar zero-diffusion limit derived in [44], our approach is different and relies on a coupling method connecting PDEs with their underlying SDEs. Moreover, our result relaxes the regularity assumptions on the interaction and external potentials and improves the convergence rate (in terms of the diffusion coefficient). The particular rate we derive is shown to be consistent with numerical computations.","authors_text":"Daniel Messenger, Hui Huang, Razvan C. Fetecau, Weiran Sun","cross_cats":["math.NA","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T23:04:33Z","title":"Zero-diffusion Limit for Aggregation Equations over Bounded Domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01763","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":"sha256:4a18133481d66faeffe2175d2b1377704b669a4eed2f130473329c81743b1893","target":"record","created_at":"2026-05-18T00:06:21Z","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":"9b3ae3c64816765a85de67a91dbef289e8c503e8ad4e9a5f67abb356ab2855c9","cross_cats_sorted":["math.NA","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T23:04:33Z","title_canon_sha256":"1a0aa0d72d72df52f4ee28fdc15a500212676817ea7efa2c3d9b3145ebc754b0"},"schema_version":"1.0","source":{"id":"1809.01763","kind":"arxiv","version":1}},"canonical_sha256":"4cd8cbabbc8b032c5e6f7b913fdb424ed78d3125cad3189ad33ed381038d5a0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cd8cbabbc8b032c5e6f7b913fdb424ed78d3125cad3189ad33ed381038d5a0f","first_computed_at":"2026-05-18T00:06:21.974214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:21.974214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zmckUm/eKqbO15ZtBjeNYBqAvf6Mb/L709xt9QNhGgBREW3A8AkSOIvGlCpK972Gc7IIBdLUHAip6AwoIpYLDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:21.974787Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.01763","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a18133481d66faeffe2175d2b1377704b669a4eed2f130473329c81743b1893","sha256:c19c5a2e57cacf6770f9da7a53c31141e3d01f22add8a29662d0e1d6926a4680"],"state_sha256":"13ec8dcdc848a9621d8fff8fca32a9a5770115b72be85b8d35a8bf3e407acb9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R76XCbll/tHlOmMoAtUsMh3uq32GSvQnAkjWRKjxFPP9YYG0Nq0IrifQMCwJfwcbz5fBA7Du4FJrRkdeH1SHAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T05:39:49.412630Z","bundle_sha256":"d18b2ce551502a35c195e9a67e27ae64be0890f8c54bab88104d8f93ff8698d1"}}