{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XO7FB37VIMSACTDWZ55EC2DGO6","short_pith_number":"pith:XO7FB37V","canonical_record":{"source":{"id":"1311.5167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-20T18:40:52Z","cross_cats_sorted":[],"title_canon_sha256":"86dab9e8f5432092a68b4fa57ec70e4c55155273d29b980c0351d8a4887125df","abstract_canon_sha256":"bf4f846a7a0cfbc161810a4fe510ce4a47c99f6f99666333e31683d50e84cd19"},"schema_version":"1.0"},"canonical_sha256":"bbbe50eff54324014c76cf7a416866778c4baa1859905798ab47e332e3f2e83a","source":{"kind":"arxiv","id":"1311.5167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5167","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5167v1","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5167","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"pith_short_12","alias_value":"XO7FB37VIMSA","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XO7FB37VIMSACTDW","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XO7FB37V","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XO7FB37VIMSACTDWZ55EC2DGO6","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-20T18:40:52Z","cross_cats_sorted":[],"title_canon_sha256":"86dab9e8f5432092a68b4fa57ec70e4c55155273d29b980c0351d8a4887125df","abstract_canon_sha256":"bf4f846a7a0cfbc161810a4fe510ce4a47c99f6f99666333e31683d50e84cd19"},"schema_version":"1.0"},"canonical_sha256":"bbbe50eff54324014c76cf7a416866778c4baa1859905798ab47e332e3f2e83a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:35.075484Z","signature_b64":"2xKSse19WlByniDHSpkK2FrNulVO2Z51dUKqndjNHfCjNH8KslWbdKUbOmEJAfBiq9/A2lmFuonBNidAMcO1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbbe50eff54324014c76cf7a416866778c4baa1859905798ab47e332e3f2e83a","last_reissued_at":"2026-05-18T03:06:35.074798Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:35.074798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5167","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":"2026-05-18T03:06:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AkVmjtzhuyeLuaVx/7U2Lty+Fn9pAx7/eehneyfmJ80er5xjOMpZySc5y9bxgpdJvh2HcjQqQGKUw+NUXCEgDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:58:03.418818Z"},"content_sha256":"2bbf9dc781eec56b8a4dcc7d75f3cefa4287a5441b97bb5578404c9e305219b0","schema_version":"1.0","event_id":"sha256:2bbf9dc781eec56b8a4dcc7d75f3cefa4287a5441b97bb5578404c9e305219b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XO7FB37VIMSACTDWZ55EC2DGO6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Cauchy Integral in $\\mathbb C^n$ for domains with minimal smoothness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Elias M. Stein, Loredana Lanzani","submitted_at":"2013-11-20T18:40:52Z","abstract_excerpt":"We prove $L^p(b\\mathcal{D})$-regularity of the Cauchy-Leray integral for bounded domains $\\mathcal{D}\\subset\\mathbb C^n$ whose boundary satisfies the minimal regularity condition of class $C^{1,1}$, together with a naturally occurring notion of convexity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5167","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":"2026-05-18T03:06:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EZPqEJ4CG8uFlDde45DteNZu3eUqlQpVZAPvFxOSMZxHdzkLWG2vFUxhE0WnqWtiBq+HRhDQhFuhpfZABu/hAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:58:03.419153Z"},"content_sha256":"8b2dd27eba13282ab7c078a000226b275a8c8ac421dfd1367301c876f31e211e","schema_version":"1.0","event_id":"sha256:8b2dd27eba13282ab7c078a000226b275a8c8ac421dfd1367301c876f31e211e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XO7FB37VIMSACTDWZ55EC2DGO6/bundle.json","state_url":"https://pith.science/pith/XO7FB37VIMSACTDWZ55EC2DGO6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XO7FB37VIMSACTDWZ55EC2DGO6/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":"2026-05-27T16:58:03Z","links":{"resolver":"https://pith.science/pith/XO7FB37VIMSACTDWZ55EC2DGO6","bundle":"https://pith.science/pith/XO7FB37VIMSACTDWZ55EC2DGO6/bundle.json","state":"https://pith.science/pith/XO7FB37VIMSACTDWZ55EC2DGO6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XO7FB37VIMSACTDWZ55EC2DGO6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XO7FB37VIMSACTDWZ55EC2DGO6","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":"bf4f846a7a0cfbc161810a4fe510ce4a47c99f6f99666333e31683d50e84cd19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-20T18:40:52Z","title_canon_sha256":"86dab9e8f5432092a68b4fa57ec70e4c55155273d29b980c0351d8a4887125df"},"schema_version":"1.0","source":{"id":"1311.5167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5167","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5167v1","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5167","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"pith_short_12","alias_value":"XO7FB37VIMSA","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XO7FB37VIMSACTDW","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XO7FB37V","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:8b2dd27eba13282ab7c078a000226b275a8c8ac421dfd1367301c876f31e211e","target":"graph","created_at":"2026-05-18T03:06:35Z","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 prove $L^p(b\\mathcal{D})$-regularity of the Cauchy-Leray integral for bounded domains $\\mathcal{D}\\subset\\mathbb C^n$ whose boundary satisfies the minimal regularity condition of class $C^{1,1}$, together with a naturally occurring notion of convexity.","authors_text":"Elias M. Stein, Loredana Lanzani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-20T18:40:52Z","title":"The Cauchy Integral in $\\mathbb C^n$ for domains with minimal smoothness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5167","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":"sha256:2bbf9dc781eec56b8a4dcc7d75f3cefa4287a5441b97bb5578404c9e305219b0","target":"record","created_at":"2026-05-18T03:06:35Z","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":"bf4f846a7a0cfbc161810a4fe510ce4a47c99f6f99666333e31683d50e84cd19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-20T18:40:52Z","title_canon_sha256":"86dab9e8f5432092a68b4fa57ec70e4c55155273d29b980c0351d8a4887125df"},"schema_version":"1.0","source":{"id":"1311.5167","kind":"arxiv","version":1}},"canonical_sha256":"bbbe50eff54324014c76cf7a416866778c4baa1859905798ab47e332e3f2e83a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbbe50eff54324014c76cf7a416866778c4baa1859905798ab47e332e3f2e83a","first_computed_at":"2026-05-18T03:06:35.074798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:35.074798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2xKSse19WlByniDHSpkK2FrNulVO2Z51dUKqndjNHfCjNH8KslWbdKUbOmEJAfBiq9/A2lmFuonBNidAMcO1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:35.075484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bbf9dc781eec56b8a4dcc7d75f3cefa4287a5441b97bb5578404c9e305219b0","sha256:8b2dd27eba13282ab7c078a000226b275a8c8ac421dfd1367301c876f31e211e"],"state_sha256":"e68b0dd1291e03ae50351345d69cd4172460eabd2a02524b1c34313cee1a7040"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BMWwV8GqQhZ+wkUDtb1I30krxIitmsQdZ2gzlc4/0yCIndxMkXM4t/YQiaNX82Wr2b2ffW/pzvqbWYRzf8ErCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T16:58:03.421355Z","bundle_sha256":"f60c243befbf7d192f4392bd557924333b2fba3ba1d8938ac2e414a502384367"}}