{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AOMUFI4GB6MQLQUA4LXPLNAS5M","short_pith_number":"pith:AOMUFI4G","canonical_record":{"source":{"id":"1310.4566","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-17T03:00:26Z","cross_cats_sorted":[],"title_canon_sha256":"597b73b1fa09d3b5524044ecff20a2ac2161616789cd465d5095c765ed191c02","abstract_canon_sha256":"731ddb15ea2f5d34bcc3c109ea35d87b84438ddc50c0a996d5cd9e5f5c7bd030"},"schema_version":"1.0"},"canonical_sha256":"039942a3860f9905c280e2eef5b412eb10e9a341e4239b03340c2a36f90eef85","source":{"kind":"arxiv","id":"1310.4566","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4566","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4566v2","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4566","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"pith_short_12","alias_value":"AOMUFI4GB6MQ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AOMUFI4GB6MQLQUA","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AOMUFI4G","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AOMUFI4GB6MQLQUA4LXPLNAS5M","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4566","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-17T03:00:26Z","cross_cats_sorted":[],"title_canon_sha256":"597b73b1fa09d3b5524044ecff20a2ac2161616789cd465d5095c765ed191c02","abstract_canon_sha256":"731ddb15ea2f5d34bcc3c109ea35d87b84438ddc50c0a996d5cd9e5f5c7bd030"},"schema_version":"1.0"},"canonical_sha256":"039942a3860f9905c280e2eef5b412eb10e9a341e4239b03340c2a36f90eef85","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:41.082202Z","signature_b64":"WOW8GVu+cApytWEJSaGQP2u1XWx/BRVoZu/ZjY39pRnnKTsDbMAv6IPwFYvj9g9Cqp4dVR1XMsZ6tWQ+xx8oCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"039942a3860f9905c280e2eef5b412eb10e9a341e4239b03340c2a36f90eef85","last_reissued_at":"2026-05-18T02:45:41.081627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:41.081627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4566","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:45:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JhBHqJjd/uUe9+0atEA4VDZjYtkXEFnFd5DwRPhUFwz/+nRbEuCbPm9/3we8jwZvkRQZUypRYM2QaRTofa/VDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:09:05.570891Z"},"content_sha256":"eb09801bb8942d1e85ee7cbf9f280aacae375454347feb1dda49c4d59e7a4d1e","schema_version":"1.0","event_id":"sha256:eb09801bb8942d1e85ee7cbf9f280aacae375454347feb1dda49c4d59e7a4d1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AOMUFI4GB6MQLQUA4LXPLNAS5M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Viscosity solutions of general viscous Hamilton-Jacobi equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hung V. Tran, Scott N. Armstrong","submitted_at":"2013-10-17T03:00:26Z","abstract_excerpt":"We present comparison principles, Lipschitz estimates and study state constraints problems for degenerate, second-order Hamilton-Jacobi equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4566","kind":"arxiv","version":2},"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":"2026-05-18T02:45:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HwS7bnf8A5H1Pf8abMtvYt/1ENv7UL0Ymh4nolqiFXRoZusM0bKheWm9DloNJNt1VGr9M1xKza/zxb95cfNSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:09:05.571267Z"},"content_sha256":"53ed18a884d4d8ae1c5a6a1d28a281830f1e3987ce1a1da74ebd3e024509ea85","schema_version":"1.0","event_id":"sha256:53ed18a884d4d8ae1c5a6a1d28a281830f1e3987ce1a1da74ebd3e024509ea85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AOMUFI4GB6MQLQUA4LXPLNAS5M/bundle.json","state_url":"https://pith.science/pith/AOMUFI4GB6MQLQUA4LXPLNAS5M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AOMUFI4GB6MQLQUA4LXPLNAS5M/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":"2026-06-05T19:09:05Z","links":{"resolver":"https://pith.science/pith/AOMUFI4GB6MQLQUA4LXPLNAS5M","bundle":"https://pith.science/pith/AOMUFI4GB6MQLQUA4LXPLNAS5M/bundle.json","state":"https://pith.science/pith/AOMUFI4GB6MQLQUA4LXPLNAS5M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AOMUFI4GB6MQLQUA4LXPLNAS5M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AOMUFI4GB6MQLQUA4LXPLNAS5M","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":"731ddb15ea2f5d34bcc3c109ea35d87b84438ddc50c0a996d5cd9e5f5c7bd030","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-17T03:00:26Z","title_canon_sha256":"597b73b1fa09d3b5524044ecff20a2ac2161616789cd465d5095c765ed191c02"},"schema_version":"1.0","source":{"id":"1310.4566","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4566","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4566v2","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4566","created_at":"2026-05-18T02:45:41Z"},{"alias_kind":"pith_short_12","alias_value":"AOMUFI4GB6MQ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AOMUFI4GB6MQLQUA","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AOMUFI4G","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:53ed18a884d4d8ae1c5a6a1d28a281830f1e3987ce1a1da74ebd3e024509ea85","target":"graph","created_at":"2026-05-18T02:45:41Z","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 present comparison principles, Lipschitz estimates and study state constraints problems for degenerate, second-order Hamilton-Jacobi equations.","authors_text":"Hung V. Tran, Scott N. Armstrong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-17T03:00:26Z","title":"Viscosity solutions of general viscous Hamilton-Jacobi equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4566","kind":"arxiv","version":2},"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:eb09801bb8942d1e85ee7cbf9f280aacae375454347feb1dda49c4d59e7a4d1e","target":"record","created_at":"2026-05-18T02:45:41Z","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":"731ddb15ea2f5d34bcc3c109ea35d87b84438ddc50c0a996d5cd9e5f5c7bd030","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-17T03:00:26Z","title_canon_sha256":"597b73b1fa09d3b5524044ecff20a2ac2161616789cd465d5095c765ed191c02"},"schema_version":"1.0","source":{"id":"1310.4566","kind":"arxiv","version":2}},"canonical_sha256":"039942a3860f9905c280e2eef5b412eb10e9a341e4239b03340c2a36f90eef85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"039942a3860f9905c280e2eef5b412eb10e9a341e4239b03340c2a36f90eef85","first_computed_at":"2026-05-18T02:45:41.081627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:41.081627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WOW8GVu+cApytWEJSaGQP2u1XWx/BRVoZu/ZjY39pRnnKTsDbMAv6IPwFYvj9g9Cqp4dVR1XMsZ6tWQ+xx8oCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:41.082202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4566","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb09801bb8942d1e85ee7cbf9f280aacae375454347feb1dda49c4d59e7a4d1e","sha256:53ed18a884d4d8ae1c5a6a1d28a281830f1e3987ce1a1da74ebd3e024509ea85"],"state_sha256":"1e2451e3552fd7db60c2e683598a89cf7ea1e8821c4638b37fcbdc446f9dd79f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BTzTD2AG3yylONUYO9Z4DpThEe+iw61xvcuufulm+6SMHFKUQvRzbS/OrzeUBaB/KDJ+GoEtn27nKAIMsF4NCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:09:05.574094Z","bundle_sha256":"0367a0f32dd084b42034f7eef2481a67e772b63a40ef5ed14ccc9c9a1b55adb8"}}