{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZWB3FBSOFRUXWOZYN66UXKESHW","short_pith_number":"pith:ZWB3FBSO","canonical_record":{"source":{"id":"1201.0653","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-01-03T15:02:26Z","cross_cats_sorted":[],"title_canon_sha256":"c6890097aef60eba4da9b719d0065b481dc37cc32ef1a06760de46dc7e0b4858","abstract_canon_sha256":"e446a8853e96b9b615cf38a9df394b84105d128371597da486a61e6fc17cf3fe"},"schema_version":"1.0"},"canonical_sha256":"cd83b2864e2c697b3b386fbd4ba8923db7d69a9782bb1e8db3dda9db06f6284e","source":{"kind":"arxiv","id":"1201.0653","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0653","created_at":"2026-05-18T03:11:33Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0653v3","created_at":"2026-05-18T03:11:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0653","created_at":"2026-05-18T03:11:33Z"},{"alias_kind":"pith_short_12","alias_value":"ZWB3FBSOFRUX","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZWB3FBSOFRUXWOZY","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZWB3FBSO","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZWB3FBSOFRUXWOZYN66UXKESHW","target":"record","payload":{"canonical_record":{"source":{"id":"1201.0653","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-01-03T15:02:26Z","cross_cats_sorted":[],"title_canon_sha256":"c6890097aef60eba4da9b719d0065b481dc37cc32ef1a06760de46dc7e0b4858","abstract_canon_sha256":"e446a8853e96b9b615cf38a9df394b84105d128371597da486a61e6fc17cf3fe"},"schema_version":"1.0"},"canonical_sha256":"cd83b2864e2c697b3b386fbd4ba8923db7d69a9782bb1e8db3dda9db06f6284e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:33.690895Z","signature_b64":"0PUewIszsOediTNa/ckvZlk+cuF2Vr/KMKmMa4YdFLGaKiurT41b6Go1DHfP8n2SGE8I6EEs8NCCre4fuwtSCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd83b2864e2c697b3b386fbd4ba8923db7d69a9782bb1e8db3dda9db06f6284e","last_reissued_at":"2026-05-18T03:11:33.690166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:33.690166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.0653","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VebRDkRDx0lmlMveTLongweV5K4/gPHeXczdkTCuz9gfXTT80q5AVu0/vM+0whqT2u/31uqZ2nLPtsrB6p+cBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T02:32:17.793370Z"},"content_sha256":"91ac412359e6ffd862fcaf97591dc670034c290f49837cca8fd769622db1a7a3","schema_version":"1.0","event_id":"sha256:91ac412359e6ffd862fcaf97591dc670034c290f49837cca8fd769622db1a7a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZWB3FBSOFRUXWOZYN66UXKESHW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterizations of Projective Hulls by Analytic Discs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Barbara Drinovec Drnovsek, Franc Forstneric","submitted_at":"2012-01-03T15:02:26Z","abstract_excerpt":"The notion of the projective hull of a compact set in a complex projective space was introduced by Harvey and Lawson in 2006. In this paper we describe the projective hull by Poletsky sequences of analytic discs, in analogy to the known descriptions of the holomorphic and the plurisubharmonic hull."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0653","kind":"arxiv","version":3},"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":"2026-05-18T03:11:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eI1lW/iLDGkPsFmaCj/Y/PLl6bAen7B3i/xRNNyM7Aik4mRCzM2Tx0n7YqK5eXVbY4+DIuVC+wWfC7tF5wklAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T02:32:17.794072Z"},"content_sha256":"350bf7aead3494c5c767a6380f61cdc0da4e471e11857541a22e8c825ce851e9","schema_version":"1.0","event_id":"sha256:350bf7aead3494c5c767a6380f61cdc0da4e471e11857541a22e8c825ce851e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZWB3FBSOFRUXWOZYN66UXKESHW/bundle.json","state_url":"https://pith.science/pith/ZWB3FBSOFRUXWOZYN66UXKESHW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZWB3FBSOFRUXWOZYN66UXKESHW/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":"2026-06-09T02:32:17Z","links":{"resolver":"https://pith.science/pith/ZWB3FBSOFRUXWOZYN66UXKESHW","bundle":"https://pith.science/pith/ZWB3FBSOFRUXWOZYN66UXKESHW/bundle.json","state":"https://pith.science/pith/ZWB3FBSOFRUXWOZYN66UXKESHW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZWB3FBSOFRUXWOZYN66UXKESHW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZWB3FBSOFRUXWOZYN66UXKESHW","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":"e446a8853e96b9b615cf38a9df394b84105d128371597da486a61e6fc17cf3fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-01-03T15:02:26Z","title_canon_sha256":"c6890097aef60eba4da9b719d0065b481dc37cc32ef1a06760de46dc7e0b4858"},"schema_version":"1.0","source":{"id":"1201.0653","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0653","created_at":"2026-05-18T03:11:33Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0653v3","created_at":"2026-05-18T03:11:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0653","created_at":"2026-05-18T03:11:33Z"},{"alias_kind":"pith_short_12","alias_value":"ZWB3FBSOFRUX","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZWB3FBSOFRUXWOZY","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZWB3FBSO","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:350bf7aead3494c5c767a6380f61cdc0da4e471e11857541a22e8c825ce851e9","target":"graph","created_at":"2026-05-18T03:11:33Z","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":"The notion of the projective hull of a compact set in a complex projective space was introduced by Harvey and Lawson in 2006. In this paper we describe the projective hull by Poletsky sequences of analytic discs, in analogy to the known descriptions of the holomorphic and the plurisubharmonic hull.","authors_text":"Barbara Drinovec Drnovsek, Franc Forstneric","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-01-03T15:02:26Z","title":"Characterizations of Projective Hulls by Analytic Discs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0653","kind":"arxiv","version":3},"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":"sha256:91ac412359e6ffd862fcaf97591dc670034c290f49837cca8fd769622db1a7a3","target":"record","created_at":"2026-05-18T03:11:33Z","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":"e446a8853e96b9b615cf38a9df394b84105d128371597da486a61e6fc17cf3fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-01-03T15:02:26Z","title_canon_sha256":"c6890097aef60eba4da9b719d0065b481dc37cc32ef1a06760de46dc7e0b4858"},"schema_version":"1.0","source":{"id":"1201.0653","kind":"arxiv","version":3}},"canonical_sha256":"cd83b2864e2c697b3b386fbd4ba8923db7d69a9782bb1e8db3dda9db06f6284e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd83b2864e2c697b3b386fbd4ba8923db7d69a9782bb1e8db3dda9db06f6284e","first_computed_at":"2026-05-18T03:11:33.690166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:33.690166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0PUewIszsOediTNa/ckvZlk+cuF2Vr/KMKmMa4YdFLGaKiurT41b6Go1DHfP8n2SGE8I6EEs8NCCre4fuwtSCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:33.690895Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0653","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91ac412359e6ffd862fcaf97591dc670034c290f49837cca8fd769622db1a7a3","sha256:350bf7aead3494c5c767a6380f61cdc0da4e471e11857541a22e8c825ce851e9"],"state_sha256":"aedc83d1ce7e35bb4b9e238125af09619861ea07236ee5857920d8fa7bbf4759"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3PqRNFV+Nj5DO7Ysjto8kI1j9aOYSCFOJ4m1KVOuvAKmn0nOHUrXS3KTKYPWYejYyfk3ljCzLDbz851opKEPAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T02:32:17.798029Z","bundle_sha256":"93faf7ffa33f666c00a6b1e36107e174517ed8325a2fe6cd167bb4e358d06cdd"}}