{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:W32Q34NAXWQVI6TYQFE4DZWGYU","short_pith_number":"pith:W32Q34NA","canonical_record":{"source":{"id":"math/0610771","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AP","submitted_at":"2006-10-26T00:11:22Z","cross_cats_sorted":[],"title_canon_sha256":"433aea5e4b911f791a4e634bf72b72c22ef909bd11d068abfc56a79565fce764","abstract_canon_sha256":"3b347fd10bcff46ecdaa50503cd0c6134604d6166a59456d326efcec415599e6"},"schema_version":"1.0"},"canonical_sha256":"b6f50df1a0bda1547a788149c1e6c6c50716a47cf4290133cedfd70ca32e78c2","source":{"kind":"arxiv","id":"math/0610771","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0610771","created_at":"2026-05-18T00:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"math/0610771v1","created_at":"2026-05-18T00:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0610771","created_at":"2026-05-18T00:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"W32Q34NAXWQV","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"W32Q34NAXWQVI6TY","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"W32Q34NA","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:W32Q34NAXWQVI6TYQFE4DZWGYU","target":"record","payload":{"canonical_record":{"source":{"id":"math/0610771","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AP","submitted_at":"2006-10-26T00:11:22Z","cross_cats_sorted":[],"title_canon_sha256":"433aea5e4b911f791a4e634bf72b72c22ef909bd11d068abfc56a79565fce764","abstract_canon_sha256":"3b347fd10bcff46ecdaa50503cd0c6134604d6166a59456d326efcec415599e6"},"schema_version":"1.0"},"canonical_sha256":"b6f50df1a0bda1547a788149c1e6c6c50716a47cf4290133cedfd70ca32e78c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:16.573414Z","signature_b64":"WtfqVqSMt1O0SY8ITXDAXbdIw/er/ubhogrMKLyup6GUoCLRP8NGERQDBKrS/MlQ9gf0x5WzX5qE1CERcUijAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6f50df1a0bda1547a788149c1e6c6c50716a47cf4290133cedfd70ca32e78c2","last_reissued_at":"2026-05-18T00:08:16.572929Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:16.572929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0610771","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":"2026-05-18T00:08:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v1u1QVbUza4UWhUO2OPK/2QkMPl+HapSVYbdp82WKQwal05ExMmCiGvTXkB6/9wXb9U2RAokzahqundc57PyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:58:23.591876Z"},"content_sha256":"0bc60e5baae4fe76aee45fe354af470fa9c0d617e5d5160462be080c76ae3536","schema_version":"1.0","event_id":"sha256:0bc60e5baae4fe76aee45fe354af470fa9c0d617e5d5160462be080c76ae3536"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:W32Q34NAXWQVI6TYQFE4DZWGYU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Class of Free Boundary Problems with Onset of a new Phase","license":"","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Patrick Guidotti","submitted_at":"2006-10-26T00:11:22Z","abstract_excerpt":"A class of diffusion driven Free Boundary Problems is considered which is characterized by the initial onset of a phase and by an explicit kinematic condition for the evolution of the free boundary. By a domain fixing change of variables it naturally leads to coupled systems comprised of a singular parabolic initial boundary value problem and a Hamilton-Jacobi equation. Even though the one dimensional case has been thoroughly investigated, results as basic as well-posedness and regularity have so far not been obtained for its higher dimensional counterpart. In this paper a recently developed r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0610771","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":"2026-05-18T00:08:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bsBdfo7ZOI9CB5iCGqRV8ZnURcZlKL+rEsdB0+a/xx/lh1I3TXK/y8z17AFVWRAk88RCStmaXnAcRdvmO3H+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:58:23.592223Z"},"content_sha256":"6b6c9ce8f7a04e297084740423d43e8d9f9f83c1338948466f7184479841a4f5","schema_version":"1.0","event_id":"sha256:6b6c9ce8f7a04e297084740423d43e8d9f9f83c1338948466f7184479841a4f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W32Q34NAXWQVI6TYQFE4DZWGYU/bundle.json","state_url":"https://pith.science/pith/W32Q34NAXWQVI6TYQFE4DZWGYU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W32Q34NAXWQVI6TYQFE4DZWGYU/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":"2026-06-05T12:58:23Z","links":{"resolver":"https://pith.science/pith/W32Q34NAXWQVI6TYQFE4DZWGYU","bundle":"https://pith.science/pith/W32Q34NAXWQVI6TYQFE4DZWGYU/bundle.json","state":"https://pith.science/pith/W32Q34NAXWQVI6TYQFE4DZWGYU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W32Q34NAXWQVI6TYQFE4DZWGYU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:W32Q34NAXWQVI6TYQFE4DZWGYU","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":"3b347fd10bcff46ecdaa50503cd0c6134604d6166a59456d326efcec415599e6","cross_cats_sorted":[],"license":"","primary_cat":"math.AP","submitted_at":"2006-10-26T00:11:22Z","title_canon_sha256":"433aea5e4b911f791a4e634bf72b72c22ef909bd11d068abfc56a79565fce764"},"schema_version":"1.0","source":{"id":"math/0610771","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0610771","created_at":"2026-05-18T00:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"math/0610771v1","created_at":"2026-05-18T00:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0610771","created_at":"2026-05-18T00:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"W32Q34NAXWQV","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"W32Q34NAXWQVI6TY","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"W32Q34NA","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:6b6c9ce8f7a04e297084740423d43e8d9f9f83c1338948466f7184479841a4f5","target":"graph","created_at":"2026-05-18T00:08:16Z","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":"A class of diffusion driven Free Boundary Problems is considered which is characterized by the initial onset of a phase and by an explicit kinematic condition for the evolution of the free boundary. By a domain fixing change of variables it naturally leads to coupled systems comprised of a singular parabolic initial boundary value problem and a Hamilton-Jacobi equation. Even though the one dimensional case has been thoroughly investigated, results as basic as well-posedness and regularity have so far not been obtained for its higher dimensional counterpart. In this paper a recently developed r","authors_text":"Patrick Guidotti","cross_cats":[],"headline":"","license":"","primary_cat":"math.AP","submitted_at":"2006-10-26T00:11:22Z","title":"A Class of Free Boundary Problems with Onset of a new Phase"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0610771","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":"sha256:0bc60e5baae4fe76aee45fe354af470fa9c0d617e5d5160462be080c76ae3536","target":"record","created_at":"2026-05-18T00:08:16Z","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":"3b347fd10bcff46ecdaa50503cd0c6134604d6166a59456d326efcec415599e6","cross_cats_sorted":[],"license":"","primary_cat":"math.AP","submitted_at":"2006-10-26T00:11:22Z","title_canon_sha256":"433aea5e4b911f791a4e634bf72b72c22ef909bd11d068abfc56a79565fce764"},"schema_version":"1.0","source":{"id":"math/0610771","kind":"arxiv","version":1}},"canonical_sha256":"b6f50df1a0bda1547a788149c1e6c6c50716a47cf4290133cedfd70ca32e78c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6f50df1a0bda1547a788149c1e6c6c50716a47cf4290133cedfd70ca32e78c2","first_computed_at":"2026-05-18T00:08:16.572929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:16.572929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WtfqVqSMt1O0SY8ITXDAXbdIw/er/ubhogrMKLyup6GUoCLRP8NGERQDBKrS/MlQ9gf0x5WzX5qE1CERcUijAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:16.573414Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0610771","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0bc60e5baae4fe76aee45fe354af470fa9c0d617e5d5160462be080c76ae3536","sha256:6b6c9ce8f7a04e297084740423d43e8d9f9f83c1338948466f7184479841a4f5"],"state_sha256":"1e999743ba8ebc1ba60e3e4b81ecb5ad9f27be8444ba4ed670724732998ed214"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A1T6ly4NKORj5+qjPdJbiqvncuM6vlQI0CdM0qnIoTU8Xbrmx7QacYUon0JevXNUqCHj/r82xbhic85I6CxWCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T12:58:23.594166Z","bundle_sha256":"f194bb9a32ff2175c8d3d80978a2d9ef681be9aa6eae8e4e0838d48096985f45"}}