{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5PFHUROUAM7FOJWGXMMUJHPJAU","short_pith_number":"pith:5PFHUROU","canonical_record":{"source":{"id":"1601.05546","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2016-01-21T08:30:46Z","cross_cats_sorted":[],"title_canon_sha256":"31ff0c6ab75a57db32f49fac8ba1174b9462823469b35a4e5a24778d198ca573","abstract_canon_sha256":"7306e903debab7cd0cc9886b896f1496132079b5be6c86e0d77858808ff97d44"},"schema_version":"1.0"},"canonical_sha256":"ebca7a45d4033e5726c6bb19449de9053f2c0528e9cd835e842a675b7ef82a9e","source":{"kind":"arxiv","id":"1601.05546","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.05546","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"arxiv_version","alias_value":"1601.05546v3","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05546","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"pith_short_12","alias_value":"5PFHUROUAM7F","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5PFHUROUAM7FOJWG","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5PFHUROU","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5PFHUROUAM7FOJWGXMMUJHPJAU","target":"record","payload":{"canonical_record":{"source":{"id":"1601.05546","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2016-01-21T08:30:46Z","cross_cats_sorted":[],"title_canon_sha256":"31ff0c6ab75a57db32f49fac8ba1174b9462823469b35a4e5a24778d198ca573","abstract_canon_sha256":"7306e903debab7cd0cc9886b896f1496132079b5be6c86e0d77858808ff97d44"},"schema_version":"1.0"},"canonical_sha256":"ebca7a45d4033e5726c6bb19449de9053f2c0528e9cd835e842a675b7ef82a9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:41.577173Z","signature_b64":"wat0Bgv+W48BcYpHw1P729Nz/GybDnOrZ69uuu9KtnO5PkGq9Y8gkEO+Gem4FCr6hm8MB1ETRW435rP9Igi9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebca7a45d4033e5726c6bb19449de9053f2c0528e9cd835e842a675b7ef82a9e","last_reissued_at":"2026-05-18T01:21:41.576572Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:41.576572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.05546","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":"2026-05-18T01:21:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ANuALctQu8QB0BAGrjrw534DlNiCwaNpF+NxwP+iyDhxA0cQTiifFlJR41mD1CimFbRGMg/0g1Pi2qV2zvS+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:44:35.502144Z"},"content_sha256":"6d4ca599f2db681efaf6b0d00b6efe59454d4ef8d7accba2024abd884a173289","schema_version":"1.0","event_id":"sha256:6d4ca599f2db681efaf6b0d00b6efe59454d4ef8d7accba2024abd884a173289"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5PFHUROUAM7FOJWGXMMUJHPJAU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Counterexamples of Lefschetz hyperplane type results for movable cones","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Zhan Li","submitted_at":"2016-01-21T08:30:46Z","abstract_excerpt":"The main theorem of the paper provides a way to produce examples such that the movable cone of an ample divisor does not coincide with the movable cone of its ambient variety."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05546","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":"2026-05-18T01:21:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X30qzOA+QFyaD59FkJ3fxNRHE+PMoOyn1Pb/iStPdYo4y4hhZG/7US4WMv/+3A9ANOoiW7+ko+fLq1L2g+XYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:44:35.502819Z"},"content_sha256":"ee30c7e7a7e54485dbb6025bcd27ddb7d35c9d5ac5a2895f4a6f8d981abc1051","schema_version":"1.0","event_id":"sha256:ee30c7e7a7e54485dbb6025bcd27ddb7d35c9d5ac5a2895f4a6f8d981abc1051"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5PFHUROUAM7FOJWGXMMUJHPJAU/bundle.json","state_url":"https://pith.science/pith/5PFHUROUAM7FOJWGXMMUJHPJAU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5PFHUROUAM7FOJWGXMMUJHPJAU/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":"2026-06-11T03:44:35Z","links":{"resolver":"https://pith.science/pith/5PFHUROUAM7FOJWGXMMUJHPJAU","bundle":"https://pith.science/pith/5PFHUROUAM7FOJWGXMMUJHPJAU/bundle.json","state":"https://pith.science/pith/5PFHUROUAM7FOJWGXMMUJHPJAU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5PFHUROUAM7FOJWGXMMUJHPJAU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5PFHUROUAM7FOJWGXMMUJHPJAU","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":"7306e903debab7cd0cc9886b896f1496132079b5be6c86e0d77858808ff97d44","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2016-01-21T08:30:46Z","title_canon_sha256":"31ff0c6ab75a57db32f49fac8ba1174b9462823469b35a4e5a24778d198ca573"},"schema_version":"1.0","source":{"id":"1601.05546","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.05546","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"arxiv_version","alias_value":"1601.05546v3","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05546","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"pith_short_12","alias_value":"5PFHUROUAM7F","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5PFHUROUAM7FOJWG","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5PFHUROU","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:ee30c7e7a7e54485dbb6025bcd27ddb7d35c9d5ac5a2895f4a6f8d981abc1051","target":"graph","created_at":"2026-05-18T01:21:41Z","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 main theorem of the paper provides a way to produce examples such that the movable cone of an ample divisor does not coincide with the movable cone of its ambient variety.","authors_text":"Zhan Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2016-01-21T08:30:46Z","title":"Counterexamples of Lefschetz hyperplane type results for movable cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05546","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":"sha256:6d4ca599f2db681efaf6b0d00b6efe59454d4ef8d7accba2024abd884a173289","target":"record","created_at":"2026-05-18T01:21:41Z","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":"7306e903debab7cd0cc9886b896f1496132079b5be6c86e0d77858808ff97d44","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2016-01-21T08:30:46Z","title_canon_sha256":"31ff0c6ab75a57db32f49fac8ba1174b9462823469b35a4e5a24778d198ca573"},"schema_version":"1.0","source":{"id":"1601.05546","kind":"arxiv","version":3}},"canonical_sha256":"ebca7a45d4033e5726c6bb19449de9053f2c0528e9cd835e842a675b7ef82a9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebca7a45d4033e5726c6bb19449de9053f2c0528e9cd835e842a675b7ef82a9e","first_computed_at":"2026-05-18T01:21:41.576572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:41.576572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wat0Bgv+W48BcYpHw1P729Nz/GybDnOrZ69uuu9KtnO5PkGq9Y8gkEO+Gem4FCr6hm8MB1ETRW435rP9Igi9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:41.577173Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.05546","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d4ca599f2db681efaf6b0d00b6efe59454d4ef8d7accba2024abd884a173289","sha256:ee30c7e7a7e54485dbb6025bcd27ddb7d35c9d5ac5a2895f4a6f8d981abc1051"],"state_sha256":"a0a152654a55a69212f648406af627ee8d8d78476ac9d25658558f592b7d5303"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0+Of0LSd8AYxzPkn2LfRrVW2UddmAjYXB2CnUhzx3u2H4BFzdrY48kGkiya10jZ4Jf29zgZrDOLzBI794mDsCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T03:44:35.506538Z","bundle_sha256":"e0b1a59c07f977c2f3bffb46e3252073ec158cf1bc4d17d746812b12dea7cc02"}}