{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XCLVASV32ZR7C675KGNOLNDMMG","short_pith_number":"pith:XCLVASV3","canonical_record":{"source":{"id":"1407.1763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-07-07T16:32:07Z","cross_cats_sorted":[],"title_canon_sha256":"ab7112d165fd8582190157818863166983fb76ba7d43379fcfb18e248d8ffc7f","abstract_canon_sha256":"5bfda14da672588fa87a33116a7f3d978e1ba4e68f3a41850d23387147728fa5"},"schema_version":"1.0"},"canonical_sha256":"b897504abbd663f17bfd519ae5b46c61b3653da8c0528ef49caa155e00d5120e","source":{"kind":"arxiv","id":"1407.1763","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1763","created_at":"2026-05-18T01:35:27Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1763v2","created_at":"2026-05-18T01:35:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1763","created_at":"2026-05-18T01:35:27Z"},{"alias_kind":"pith_short_12","alias_value":"XCLVASV32ZR7","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XCLVASV32ZR7C675","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XCLVASV3","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XCLVASV32ZR7C675KGNOLNDMMG","target":"record","payload":{"canonical_record":{"source":{"id":"1407.1763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-07-07T16:32:07Z","cross_cats_sorted":[],"title_canon_sha256":"ab7112d165fd8582190157818863166983fb76ba7d43379fcfb18e248d8ffc7f","abstract_canon_sha256":"5bfda14da672588fa87a33116a7f3d978e1ba4e68f3a41850d23387147728fa5"},"schema_version":"1.0"},"canonical_sha256":"b897504abbd663f17bfd519ae5b46c61b3653da8c0528ef49caa155e00d5120e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:27.126827Z","signature_b64":"E9vIXmI87O56OepwZpt9vtUpspnYIh1GpQWbYF/78Dz08g36uSbOsLZfE0l8qQ/caUosOMINypUCqeJMg6vEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b897504abbd663f17bfd519ae5b46c61b3653da8c0528ef49caa155e00d5120e","last_reissued_at":"2026-05-18T01:35:27.126189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:27.126189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.1763","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":"2026-05-18T01:35:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HOwmB8lEgxAc2uNRxHtc1JVlRnkeK2t/LeZn3OvjkpaJajshn6ZXJPcPaPwTOzyZ9Fv7asw2h/aU6pA06Q6mAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T11:50:54.000420Z"},"content_sha256":"d9a6e00c665eea00428a889cddf937b1f7f488f28f17cdee34b98f173937c40e","schema_version":"1.0","event_id":"sha256:d9a6e00c665eea00428a889cddf937b1f7f488f28f17cdee34b98f173937c40e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XCLVASV32ZR7C675KGNOLNDMMG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on a conjecture concerning boundary uniqueness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Abtin Daghighi, Steven G. Krantz","submitted_at":"2014-07-07T16:32:07Z","abstract_excerpt":"We consider the following conjecture (from Huang, et al): Let $\\Delta^+$ denote the upper half disc in $\\mathbb{C}$ and let $\\gamma = ( - 1, 1)$ (viewed as an interval in the real axis in $\\mathbb{C}$). Assume that $F$ is a holomorphic function on $\\Delta^+$ with continuous extension up to $\\gamma$ such that $F$ maps $\\gamma$ into $\\{|\\mbox{Im} z|\\leq C|\\mbox{Re} z|\\},$ for some positive $C.$ If $F$ vanishes to infinite order at $0$ then $F$ vanishes identically. We show that given the conditions of the conjecture, either $F\\equiv 0$ or there is a sequence in $\\Delta^+$, converging to $0,$ alo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1763","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":"2026-05-18T01:35:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+MkAm0yJIHMYjPpimRbVQ21CbD6XesbnPtyLKtabNLFCXuieXQ9QCg93IpXyU2ihvs6fafVVh1Gr6DEoqsuPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T11:50:54.000768Z"},"content_sha256":"a6d7f263bfaaba51e763e9befb810203a51c107ea191a3ef2ca2289389c59b87","schema_version":"1.0","event_id":"sha256:a6d7f263bfaaba51e763e9befb810203a51c107ea191a3ef2ca2289389c59b87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XCLVASV32ZR7C675KGNOLNDMMG/bundle.json","state_url":"https://pith.science/pith/XCLVASV32ZR7C675KGNOLNDMMG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XCLVASV32ZR7C675KGNOLNDMMG/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":"2026-06-25T11:50:54Z","links":{"resolver":"https://pith.science/pith/XCLVASV32ZR7C675KGNOLNDMMG","bundle":"https://pith.science/pith/XCLVASV32ZR7C675KGNOLNDMMG/bundle.json","state":"https://pith.science/pith/XCLVASV32ZR7C675KGNOLNDMMG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XCLVASV32ZR7C675KGNOLNDMMG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XCLVASV32ZR7C675KGNOLNDMMG","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":"5bfda14da672588fa87a33116a7f3d978e1ba4e68f3a41850d23387147728fa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-07-07T16:32:07Z","title_canon_sha256":"ab7112d165fd8582190157818863166983fb76ba7d43379fcfb18e248d8ffc7f"},"schema_version":"1.0","source":{"id":"1407.1763","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1763","created_at":"2026-05-18T01:35:27Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1763v2","created_at":"2026-05-18T01:35:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1763","created_at":"2026-05-18T01:35:27Z"},{"alias_kind":"pith_short_12","alias_value":"XCLVASV32ZR7","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XCLVASV32ZR7C675","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XCLVASV3","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:a6d7f263bfaaba51e763e9befb810203a51c107ea191a3ef2ca2289389c59b87","target":"graph","created_at":"2026-05-18T01:35:27Z","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 following conjecture (from Huang, et al): Let $\\Delta^+$ denote the upper half disc in $\\mathbb{C}$ and let $\\gamma = ( - 1, 1)$ (viewed as an interval in the real axis in $\\mathbb{C}$). Assume that $F$ is a holomorphic function on $\\Delta^+$ with continuous extension up to $\\gamma$ such that $F$ maps $\\gamma$ into $\\{|\\mbox{Im} z|\\leq C|\\mbox{Re} z|\\},$ for some positive $C.$ If $F$ vanishes to infinite order at $0$ then $F$ vanishes identically. We show that given the conditions of the conjecture, either $F\\equiv 0$ or there is a sequence in $\\Delta^+$, converging to $0,$ alo","authors_text":"Abtin Daghighi, Steven G. Krantz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-07-07T16:32:07Z","title":"A note on a conjecture concerning boundary uniqueness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1763","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:d9a6e00c665eea00428a889cddf937b1f7f488f28f17cdee34b98f173937c40e","target":"record","created_at":"2026-05-18T01:35:27Z","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":"5bfda14da672588fa87a33116a7f3d978e1ba4e68f3a41850d23387147728fa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-07-07T16:32:07Z","title_canon_sha256":"ab7112d165fd8582190157818863166983fb76ba7d43379fcfb18e248d8ffc7f"},"schema_version":"1.0","source":{"id":"1407.1763","kind":"arxiv","version":2}},"canonical_sha256":"b897504abbd663f17bfd519ae5b46c61b3653da8c0528ef49caa155e00d5120e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b897504abbd663f17bfd519ae5b46c61b3653da8c0528ef49caa155e00d5120e","first_computed_at":"2026-05-18T01:35:27.126189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:27.126189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E9vIXmI87O56OepwZpt9vtUpspnYIh1GpQWbYF/78Dz08g36uSbOsLZfE0l8qQ/caUosOMINypUCqeJMg6vEBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:27.126827Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1763","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9a6e00c665eea00428a889cddf937b1f7f488f28f17cdee34b98f173937c40e","sha256:a6d7f263bfaaba51e763e9befb810203a51c107ea191a3ef2ca2289389c59b87"],"state_sha256":"b05c304360a9871faa0b4ae6775bf984798748dcebd889dda1ba4a5b2e2e4b79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q9B9lV2f/8JlmH6w3Zr5CSCOIg7O54GpM+7ww0a/1vRrRbJ2GoZ6XDP/D1CvdH+8rvcqLDUmn9IQDeLh2M6zCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T11:50:54.002700Z","bundle_sha256":"f701d6ef606ada5570b0c5d4a8051961245c2cc514ea7c57c2846e8e168364dc"}}