{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:J3J7YGWPA6IVPT4WOVIVVA2YEF","short_pith_number":"pith:J3J7YGWP","canonical_record":{"source":{"id":"1609.08564","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-27T18:28:20Z","cross_cats_sorted":[],"title_canon_sha256":"8b4e65a3575f77cbe5c0c81470f204ba3fbdc57f59daa23106efe1e48ff123bb","abstract_canon_sha256":"71537c9ae3ea7f45f0b03be8ddbbb0b452e8cc292df97c2c2e3b342351473d49"},"schema_version":"1.0"},"canonical_sha256":"4ed3fc1acf079157cf9675515a8358214e3c3bf69f2c1418c787c4e7ca9bc374","source":{"kind":"arxiv","id":"1609.08564","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08564","created_at":"2026-05-18T01:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08564v1","created_at":"2026-05-18T01:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08564","created_at":"2026-05-18T01:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"J3J7YGWPA6IV","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J3J7YGWPA6IVPT4W","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J3J7YGWP","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:J3J7YGWPA6IVPT4WOVIVVA2YEF","target":"record","payload":{"canonical_record":{"source":{"id":"1609.08564","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-27T18:28:20Z","cross_cats_sorted":[],"title_canon_sha256":"8b4e65a3575f77cbe5c0c81470f204ba3fbdc57f59daa23106efe1e48ff123bb","abstract_canon_sha256":"71537c9ae3ea7f45f0b03be8ddbbb0b452e8cc292df97c2c2e3b342351473d49"},"schema_version":"1.0"},"canonical_sha256":"4ed3fc1acf079157cf9675515a8358214e3c3bf69f2c1418c787c4e7ca9bc374","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:45.629291Z","signature_b64":"dii9qgwKnUnQWox7Tt3BpHc0pLp7Vi7g44QcHTdyiKT76E4xaXWY/Cy0DDs59q2Aa49uSk/T6ShV/FlsIfoWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ed3fc1acf079157cf9675515a8358214e3c3bf69f2c1418c787c4e7ca9bc374","last_reissued_at":"2026-05-18T01:03:45.628902Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:45.628902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.08564","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":"2026-05-18T01:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qyXjGy0MEnrajz6o5WV5MUygxxgMzjMjSQuiddwi6ypjCFUEGh8M7kGgtUfUIKVaBuRfnBsBlRI87177QFMDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:12:09.431054Z"},"content_sha256":"49fe610e59e55a43cc81ffe68ab20014ec7e79aeb469b9d75f6f814fd6224aae","schema_version":"1.0","event_id":"sha256:49fe610e59e55a43cc81ffe68ab20014ec7e79aeb469b9d75f6f814fd6224aae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:J3J7YGWPA6IVPT4WOVIVVA2YEF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Output Feedback Control of the One-Phase Stefan Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mamadou Diagne, Miroslav Krstic, Shumon Koga","submitted_at":"2016-09-27T18:28:20Z","abstract_excerpt":"In this paper, a backstepping observer and an output feedback control law are designed for the stabilization of the one-phase Stefan problem. The present result is an improvement of the recent full state feedback backstepping controller proposed in our previous contribution. The one-phase Stefan problem describes the time-evolution of a temperature profile in a liquid-solid material and its liquid-solid moving interface. This phase transition problem is mathematically formulated as a 1-D diffusion Partial Differential Equation (PDE) of the melting zone defined on a time-varying spatial domain "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08564","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":"2026-05-18T01:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G4BdX1w2kCAZ061mCH4lPcrO6CsAvg6OGuv/FP1eYgc0zGP/LnEkvzRxR7sg2Ob/hwyRXWTG1Cta0PjnyPzCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:12:09.431413Z"},"content_sha256":"071669a878e71eae7bcb2ee4067b26ba0263f966a67db48b3bb204e6abac1538","schema_version":"1.0","event_id":"sha256:071669a878e71eae7bcb2ee4067b26ba0263f966a67db48b3bb204e6abac1538"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J3J7YGWPA6IVPT4WOVIVVA2YEF/bundle.json","state_url":"https://pith.science/pith/J3J7YGWPA6IVPT4WOVIVVA2YEF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J3J7YGWPA6IVPT4WOVIVVA2YEF/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":"2026-06-22T13:12:09Z","links":{"resolver":"https://pith.science/pith/J3J7YGWPA6IVPT4WOVIVVA2YEF","bundle":"https://pith.science/pith/J3J7YGWPA6IVPT4WOVIVVA2YEF/bundle.json","state":"https://pith.science/pith/J3J7YGWPA6IVPT4WOVIVVA2YEF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J3J7YGWPA6IVPT4WOVIVVA2YEF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J3J7YGWPA6IVPT4WOVIVVA2YEF","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":"71537c9ae3ea7f45f0b03be8ddbbb0b452e8cc292df97c2c2e3b342351473d49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-27T18:28:20Z","title_canon_sha256":"8b4e65a3575f77cbe5c0c81470f204ba3fbdc57f59daa23106efe1e48ff123bb"},"schema_version":"1.0","source":{"id":"1609.08564","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08564","created_at":"2026-05-18T01:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08564v1","created_at":"2026-05-18T01:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08564","created_at":"2026-05-18T01:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"J3J7YGWPA6IV","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J3J7YGWPA6IVPT4W","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J3J7YGWP","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:071669a878e71eae7bcb2ee4067b26ba0263f966a67db48b3bb204e6abac1538","target":"graph","created_at":"2026-05-18T01:03:45Z","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, a backstepping observer and an output feedback control law are designed for the stabilization of the one-phase Stefan problem. The present result is an improvement of the recent full state feedback backstepping controller proposed in our previous contribution. The one-phase Stefan problem describes the time-evolution of a temperature profile in a liquid-solid material and its liquid-solid moving interface. This phase transition problem is mathematically formulated as a 1-D diffusion Partial Differential Equation (PDE) of the melting zone defined on a time-varying spatial domain ","authors_text":"Mamadou Diagne, Miroslav Krstic, Shumon Koga","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-27T18:28:20Z","title":"Output Feedback Control of the One-Phase Stefan Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08564","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":"sha256:49fe610e59e55a43cc81ffe68ab20014ec7e79aeb469b9d75f6f814fd6224aae","target":"record","created_at":"2026-05-18T01:03:45Z","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":"71537c9ae3ea7f45f0b03be8ddbbb0b452e8cc292df97c2c2e3b342351473d49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-27T18:28:20Z","title_canon_sha256":"8b4e65a3575f77cbe5c0c81470f204ba3fbdc57f59daa23106efe1e48ff123bb"},"schema_version":"1.0","source":{"id":"1609.08564","kind":"arxiv","version":1}},"canonical_sha256":"4ed3fc1acf079157cf9675515a8358214e3c3bf69f2c1418c787c4e7ca9bc374","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ed3fc1acf079157cf9675515a8358214e3c3bf69f2c1418c787c4e7ca9bc374","first_computed_at":"2026-05-18T01:03:45.628902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:45.628902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dii9qgwKnUnQWox7Tt3BpHc0pLp7Vi7g44QcHTdyiKT76E4xaXWY/Cy0DDs59q2Aa49uSk/T6ShV/FlsIfoWBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:45.629291Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.08564","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49fe610e59e55a43cc81ffe68ab20014ec7e79aeb469b9d75f6f814fd6224aae","sha256:071669a878e71eae7bcb2ee4067b26ba0263f966a67db48b3bb204e6abac1538"],"state_sha256":"e477d8a4f6280fb0cab1bcd5191f7ec2d332b326b907a330585e2110f26d1686"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g/gwKbZcylPghEO2ZAPn2icfFblIv2F3l7pmxYUO8R+uU3d9Wb2jP1tZ1n9t/eYAH/ayHMCxzwMDLvDqtHKLAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T13:12:09.433401Z","bundle_sha256":"7afc9f6b316a1c41d39c265452029d88d41b393aed1d3c547790a14a50d807dc"}}