{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:QCHTNLSGLOXLEFPOAEOHSJR3YG","short_pith_number":"pith:QCHTNLSG","canonical_record":{"source":{"id":"math/0603530","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2006-03-22T12:30:22Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"fbcfdeac4dfd19a6db2aa4816393a2ed0926fd95a59ec32f93227033809edbcd","abstract_canon_sha256":"6d8795b2a4b4afc349eab64b8748c9f7621ff12aca67e5d1db0e1e6a041267aa"},"schema_version":"1.0"},"canonical_sha256":"808f36ae465baeb215ee011c79263bc1aecd7e03125aeca635d02cc11ed4db2d","source":{"kind":"arxiv","id":"math/0603530","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0603530","created_at":"2026-05-18T03:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"math/0603530v7","created_at":"2026-05-18T03:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0603530","created_at":"2026-05-18T03:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"QCHTNLSGLOXL","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"QCHTNLSGLOXLEFPO","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"QCHTNLSG","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:QCHTNLSGLOXLEFPOAEOHSJR3YG","target":"record","payload":{"canonical_record":{"source":{"id":"math/0603530","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2006-03-22T12:30:22Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"fbcfdeac4dfd19a6db2aa4816393a2ed0926fd95a59ec32f93227033809edbcd","abstract_canon_sha256":"6d8795b2a4b4afc349eab64b8748c9f7621ff12aca67e5d1db0e1e6a041267aa"},"schema_version":"1.0"},"canonical_sha256":"808f36ae465baeb215ee011c79263bc1aecd7e03125aeca635d02cc11ed4db2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:27.816748Z","signature_b64":"1zaTNwhlS1q5X9uLLJEslTfETTeKuBj6bFVf5DWTGNrKag3YvaSaHlZUB2FsvI2VA+J6UdkCOlU+4PfYgNxoBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"808f36ae465baeb215ee011c79263bc1aecd7e03125aeca635d02cc11ed4db2d","last_reissued_at":"2026-05-18T03:37:27.816023Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:27.816023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0603530","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yyBX6rmuMQZRc58d+XcYLXc4xKtNyjsu+Tta2x5elpl2VoMrFI3qstaitElI87y3U6yCq4xCoQSp/LHb4MO6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:30:32.161173Z"},"content_sha256":"5d53212633b865fdb07b037153b153e1b6aadefcb447e9c6fc863b1188b57227","schema_version":"1.0","event_id":"sha256:5d53212633b865fdb07b037153b153e1b6aadefcb447e9c6fc863b1188b57227"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:QCHTNLSGLOXLEFPOAEOHSJR3YG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A construction of a complete bounded null curve in $\\mathbb{C}^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"Francisco Martin, Kotaro Yamada, Leonor Ferrer, Masaaki Umehara","submitted_at":"2006-03-22T12:30:22Z","abstract_excerpt":"We construct a complete bounded immersed null holomorphic curve in C^3, which is a recovery of the previous version of the paper\n  Calc. Var. and PDE's vol 36 (2009); Erratum: to appear in Calc. Var. and PDE's, doi:10.1007/s00526-009-0226-5 by the last three authors on this subject."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0603530","kind":"arxiv","version":7},"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":"2026-05-18T03:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OBJV7CuKNEY9y//G7glmRsrjFyrHO/x+TQM0DRxe1ptLYlCbGberaATnxjCey5l2eAghAWHEnI42e2juxHUKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:30:32.161536Z"},"content_sha256":"aa8f90574854e45061510ff350b2ec20d6baca7a850f54688850c9625a71945c","schema_version":"1.0","event_id":"sha256:aa8f90574854e45061510ff350b2ec20d6baca7a850f54688850c9625a71945c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QCHTNLSGLOXLEFPOAEOHSJR3YG/bundle.json","state_url":"https://pith.science/pith/QCHTNLSGLOXLEFPOAEOHSJR3YG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QCHTNLSGLOXLEFPOAEOHSJR3YG/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":"2026-06-03T02:30:32Z","links":{"resolver":"https://pith.science/pith/QCHTNLSGLOXLEFPOAEOHSJR3YG","bundle":"https://pith.science/pith/QCHTNLSGLOXLEFPOAEOHSJR3YG/bundle.json","state":"https://pith.science/pith/QCHTNLSGLOXLEFPOAEOHSJR3YG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QCHTNLSGLOXLEFPOAEOHSJR3YG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:QCHTNLSGLOXLEFPOAEOHSJR3YG","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":"6d8795b2a4b4afc349eab64b8748c9f7621ff12aca67e5d1db0e1e6a041267aa","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2006-03-22T12:30:22Z","title_canon_sha256":"fbcfdeac4dfd19a6db2aa4816393a2ed0926fd95a59ec32f93227033809edbcd"},"schema_version":"1.0","source":{"id":"math/0603530","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0603530","created_at":"2026-05-18T03:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"math/0603530v7","created_at":"2026-05-18T03:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0603530","created_at":"2026-05-18T03:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"QCHTNLSGLOXL","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"QCHTNLSGLOXLEFPO","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"QCHTNLSG","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:aa8f90574854e45061510ff350b2ec20d6baca7a850f54688850c9625a71945c","target":"graph","created_at":"2026-05-18T03:37:27Z","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 construct a complete bounded immersed null holomorphic curve in C^3, which is a recovery of the previous version of the paper\n  Calc. Var. and PDE's vol 36 (2009); Erratum: to appear in Calc. Var. and PDE's, doi:10.1007/s00526-009-0226-5 by the last three authors on this subject.","authors_text":"Francisco Martin, Kotaro Yamada, Leonor Ferrer, Masaaki Umehara","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2006-03-22T12:30:22Z","title":"A construction of a complete bounded null curve in $\\mathbb{C}^3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0603530","kind":"arxiv","version":7},"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":"sha256:5d53212633b865fdb07b037153b153e1b6aadefcb447e9c6fc863b1188b57227","target":"record","created_at":"2026-05-18T03:37:27Z","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":"6d8795b2a4b4afc349eab64b8748c9f7621ff12aca67e5d1db0e1e6a041267aa","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2006-03-22T12:30:22Z","title_canon_sha256":"fbcfdeac4dfd19a6db2aa4816393a2ed0926fd95a59ec32f93227033809edbcd"},"schema_version":"1.0","source":{"id":"math/0603530","kind":"arxiv","version":7}},"canonical_sha256":"808f36ae465baeb215ee011c79263bc1aecd7e03125aeca635d02cc11ed4db2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"808f36ae465baeb215ee011c79263bc1aecd7e03125aeca635d02cc11ed4db2d","first_computed_at":"2026-05-18T03:37:27.816023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:27.816023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1zaTNwhlS1q5X9uLLJEslTfETTeKuBj6bFVf5DWTGNrKag3YvaSaHlZUB2FsvI2VA+J6UdkCOlU+4PfYgNxoBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:27.816748Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0603530","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d53212633b865fdb07b037153b153e1b6aadefcb447e9c6fc863b1188b57227","sha256:aa8f90574854e45061510ff350b2ec20d6baca7a850f54688850c9625a71945c"],"state_sha256":"003f59fef5a25ec53c43bbebfa5c44ef248646a3add5b38549c859e23e8c51a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6kvaePxlR84FwSSZ8w9oIM9v6bL4xSG53LTBT+e+2Aqcfbnvx2W4Tz0xTpvTUpAKtClA383DdhI/ik+/vhyvCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T02:30:32.163778Z","bundle_sha256":"85cbdd87a2dee8beadfcf12ed25f922da0419fcf2ae966ac7c0c7f1f08113de7"}}