{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KUSI6M2VLWSMJLW6BVQEJLKIYU","short_pith_number":"pith:KUSI6M2V","canonical_record":{"source":{"id":"1709.03371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-11T13:31:56Z","cross_cats_sorted":[],"title_canon_sha256":"fa8b68d09fbef9b84aa0eba8000457aa8f360f048b3713e951a0eb2b5635b6d8","abstract_canon_sha256":"5420fcc77b74e1c241bb4c2f4690cdea1f0e2e2249eeb479e923dbaa101677a4"},"schema_version":"1.0"},"canonical_sha256":"55248f33555da4c4aede0d6044ad48c53fb5c36c6549efc262c6ad73cf6ddbd5","source":{"kind":"arxiv","id":"1709.03371","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03371","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03371v1","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03371","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"KUSI6M2VLWSM","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KUSI6M2VLWSMJLW6","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KUSI6M2V","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KUSI6M2VLWSMJLW6BVQEJLKIYU","target":"record","payload":{"canonical_record":{"source":{"id":"1709.03371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-11T13:31:56Z","cross_cats_sorted":[],"title_canon_sha256":"fa8b68d09fbef9b84aa0eba8000457aa8f360f048b3713e951a0eb2b5635b6d8","abstract_canon_sha256":"5420fcc77b74e1c241bb4c2f4690cdea1f0e2e2249eeb479e923dbaa101677a4"},"schema_version":"1.0"},"canonical_sha256":"55248f33555da4c4aede0d6044ad48c53fb5c36c6549efc262c6ad73cf6ddbd5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:38.632789Z","signature_b64":"pWu20Evi8jj9G/nsiujmt0EHis6kRI67biad+8KNuxVns94qB+4Vf4/KmQutd44C3AXKa9N407GWoCfUeLomAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55248f33555da4c4aede0d6044ad48c53fb5c36c6549efc262c6ad73cf6ddbd5","last_reissued_at":"2026-05-18T00:35:38.632309Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:38.632309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.03371","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":"2026-05-18T00:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yaXcueqHb4NRJv5hmZ0+X1iFayk6h+5owyk/Qii8okGpfRjOzKAInHned1M/UBS/sbMMm5u1Az9+f5ksR8JLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:44:47.670268Z"},"content_sha256":"c7cb622dd8bea340332ad343bbb9fb11ef75e9a7c60b431c35242f440f7ef0f8","schema_version":"1.0","event_id":"sha256:c7cb622dd8bea340332ad343bbb9fb11ef75e9a7c60b431c35242f440f7ef0f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KUSI6M2VLWSMJLW6BVQEJLKIYU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundary Regularity for the Free Boundary in the One-phase Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hector Chang-Lara, Ovidiu Savin","submitted_at":"2017-09-11T13:31:56Z","abstract_excerpt":"We consider the Bernoulli one-phase free boundary problem in a domain $\\Omega$ and show that the free boundary $F$ is $C^{1,1/2}$ regular in a neighborhood of the fixed boundary $\\partial \\Omega$. We achieve this by relating the behavior of $F$ near $\\partial \\Omega$ to a Signorini-type obstacle problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03371","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":"2026-05-18T00:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tAtKu+oRjF/pyf+l7bVgJJj3KYXEbZAtsofH3Oy1X+e4hliyFBWRu9CYGqR2dirWkfFyXR+rkPuI6O6MFa+ZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:44:47.670617Z"},"content_sha256":"1f9677e0be3aca190839a670f1c68e0ccb0444ab7aa8f0901c0ce28fdb685024","schema_version":"1.0","event_id":"sha256:1f9677e0be3aca190839a670f1c68e0ccb0444ab7aa8f0901c0ce28fdb685024"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUSI6M2VLWSMJLW6BVQEJLKIYU/bundle.json","state_url":"https://pith.science/pith/KUSI6M2VLWSMJLW6BVQEJLKIYU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUSI6M2VLWSMJLW6BVQEJLKIYU/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":"2026-06-08T14:44:47Z","links":{"resolver":"https://pith.science/pith/KUSI6M2VLWSMJLW6BVQEJLKIYU","bundle":"https://pith.science/pith/KUSI6M2VLWSMJLW6BVQEJLKIYU/bundle.json","state":"https://pith.science/pith/KUSI6M2VLWSMJLW6BVQEJLKIYU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUSI6M2VLWSMJLW6BVQEJLKIYU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KUSI6M2VLWSMJLW6BVQEJLKIYU","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":"5420fcc77b74e1c241bb4c2f4690cdea1f0e2e2249eeb479e923dbaa101677a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-11T13:31:56Z","title_canon_sha256":"fa8b68d09fbef9b84aa0eba8000457aa8f360f048b3713e951a0eb2b5635b6d8"},"schema_version":"1.0","source":{"id":"1709.03371","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03371","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03371v1","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03371","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"KUSI6M2VLWSM","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KUSI6M2VLWSMJLW6","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KUSI6M2V","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:1f9677e0be3aca190839a670f1c68e0ccb0444ab7aa8f0901c0ce28fdb685024","target":"graph","created_at":"2026-05-18T00:35:38Z","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 consider the Bernoulli one-phase free boundary problem in a domain $\\Omega$ and show that the free boundary $F$ is $C^{1,1/2}$ regular in a neighborhood of the fixed boundary $\\partial \\Omega$. We achieve this by relating the behavior of $F$ near $\\partial \\Omega$ to a Signorini-type obstacle problem.","authors_text":"Hector Chang-Lara, Ovidiu Savin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-11T13:31:56Z","title":"Boundary Regularity for the Free Boundary in the One-phase Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03371","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:c7cb622dd8bea340332ad343bbb9fb11ef75e9a7c60b431c35242f440f7ef0f8","target":"record","created_at":"2026-05-18T00:35:38Z","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":"5420fcc77b74e1c241bb4c2f4690cdea1f0e2e2249eeb479e923dbaa101677a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-11T13:31:56Z","title_canon_sha256":"fa8b68d09fbef9b84aa0eba8000457aa8f360f048b3713e951a0eb2b5635b6d8"},"schema_version":"1.0","source":{"id":"1709.03371","kind":"arxiv","version":1}},"canonical_sha256":"55248f33555da4c4aede0d6044ad48c53fb5c36c6549efc262c6ad73cf6ddbd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55248f33555da4c4aede0d6044ad48c53fb5c36c6549efc262c6ad73cf6ddbd5","first_computed_at":"2026-05-18T00:35:38.632309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:38.632309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pWu20Evi8jj9G/nsiujmt0EHis6kRI67biad+8KNuxVns94qB+4Vf4/KmQutd44C3AXKa9N407GWoCfUeLomAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:38.632789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.03371","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7cb622dd8bea340332ad343bbb9fb11ef75e9a7c60b431c35242f440f7ef0f8","sha256:1f9677e0be3aca190839a670f1c68e0ccb0444ab7aa8f0901c0ce28fdb685024"],"state_sha256":"632fd4f1c84866a1486010357148b43fb6d54310dd93ae78b633a2c8c40cb749"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aifTeIKY7+D/4iX7wrMOfa0xVVy/D2z2Sy1hsjSjkPEm+EgW9hpBAO5Elj7ugQovZB9tDYYQ2/cOOKkElMXBCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T14:44:47.672500Z","bundle_sha256":"40ddcb6732d7a59aa56d1d7dd18aaa9fd44eaa8770c38d944804e3228adcea40"}}