{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6P4XVJQ43T3B7JEIGGOP522TEP","short_pith_number":"pith:6P4XVJQ4","canonical_record":{"source":{"id":"1908.03139","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-08T16:12:53Z","cross_cats_sorted":[],"title_canon_sha256":"3120a625d32adbe72f399fbf24940ee36512e47292d230a8e4033cfcbf48de72","abstract_canon_sha256":"286db3f22cdc43281f5593668e6160675e53e431b4d6424e5da941954d4e65f2"},"schema_version":"1.0"},"canonical_sha256":"f3f97aa61cdcf61fa488319cfeeb5323e52ec8672992dd7e07d6d11e658df6c1","source":{"kind":"arxiv","id":"1908.03139","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03139","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03139v1","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03139","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"pith_short_12","alias_value":"6P4XVJQ43T3B","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"pith_short_16","alias_value":"6P4XVJQ43T3B7JEI","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"pith_short_8","alias_value":"6P4XVJQ4","created_at":"2026-07-04T23:52:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6P4XVJQ43T3B7JEIGGOP522TEP","target":"record","payload":{"canonical_record":{"source":{"id":"1908.03139","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-08T16:12:53Z","cross_cats_sorted":[],"title_canon_sha256":"3120a625d32adbe72f399fbf24940ee36512e47292d230a8e4033cfcbf48de72","abstract_canon_sha256":"286db3f22cdc43281f5593668e6160675e53e431b4d6424e5da941954d4e65f2"},"schema_version":"1.0"},"canonical_sha256":"f3f97aa61cdcf61fa488319cfeeb5323e52ec8672992dd7e07d6d11e658df6c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:52:26.309453Z","signature_b64":"HLxUP5nGa/SKNIh31CxeH1G58OLLeUjH3n05BFOq6EtZvoBq6R2p+5zr6xmNsAaqFBnQHn7KDVLouYm0L/NSDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3f97aa61cdcf61fa488319cfeeb5323e52ec8672992dd7e07d6d11e658df6c1","last_reissued_at":"2026-07-04T23:52:26.308893Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:52:26.308893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.03139","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":"2026-07-04T23:52:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Une8yrV+yezd+MinCerqcecNigHEzpUJHH+dHDxd3Gzikvy7jeiJ0IShv8DoRQ87sYnz46IFoy6rEEeA5Z3TDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T16:57:51.032003Z"},"content_sha256":"5679e8357c068e8c9a65df7053ef7380c07f8790532b2e8a1e31fcea85768250","schema_version":"1.0","event_id":"sha256:5679e8357c068e8c9a65df7053ef7380c07f8790532b2e8a1e31fcea85768250"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6P4XVJQ43T3B7JEIGGOP522TEP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Closed points on cubic hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Qixiao Ma","submitted_at":"2019-08-08T16:12:53Z","abstract_excerpt":"We generalize some results of Coray on closed points on cubic hypersurfaces. We show certain symmetric products of cubic hypersurfaces are stably birational."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03139","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.03139/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T23:52:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ucD7327Uyzojxlg+J4g+x0AD0ZDI09xry6RmFP2/F+vAxnH26/nMPy+YsThy8gWmQjUw1bKvAxDh8qPg9JsmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T16:57:51.033383Z"},"content_sha256":"0a14a1f615400d664c8911d5016acb0b084efd6091d9fd8db926863019732387","schema_version":"1.0","event_id":"sha256:0a14a1f615400d664c8911d5016acb0b084efd6091d9fd8db926863019732387"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6P4XVJQ43T3B7JEIGGOP522TEP/bundle.json","state_url":"https://pith.science/pith/6P4XVJQ43T3B7JEIGGOP522TEP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6P4XVJQ43T3B7JEIGGOP522TEP/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":"2026-08-16T16:57:51Z","links":{"resolver":"https://pith.science/pith/6P4XVJQ43T3B7JEIGGOP522TEP","bundle":"https://pith.science/pith/6P4XVJQ43T3B7JEIGGOP522TEP/bundle.json","state":"https://pith.science/pith/6P4XVJQ43T3B7JEIGGOP522TEP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6P4XVJQ43T3B7JEIGGOP522TEP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6P4XVJQ43T3B7JEIGGOP522TEP","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":"286db3f22cdc43281f5593668e6160675e53e431b4d6424e5da941954d4e65f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-08T16:12:53Z","title_canon_sha256":"3120a625d32adbe72f399fbf24940ee36512e47292d230a8e4033cfcbf48de72"},"schema_version":"1.0","source":{"id":"1908.03139","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03139","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03139v1","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03139","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"pith_short_12","alias_value":"6P4XVJQ43T3B","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"pith_short_16","alias_value":"6P4XVJQ43T3B7JEI","created_at":"2026-07-04T23:52:26Z"},{"alias_kind":"pith_short_8","alias_value":"6P4XVJQ4","created_at":"2026-07-04T23:52:26Z"}],"graph_snapshots":[{"event_id":"sha256:0a14a1f615400d664c8911d5016acb0b084efd6091d9fd8db926863019732387","target":"graph","created_at":"2026-07-04T23:52:26Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.03139/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We generalize some results of Coray on closed points on cubic hypersurfaces. We show certain symmetric products of cubic hypersurfaces are stably birational.","authors_text":"Qixiao Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-08T16:12:53Z","title":"Closed points on cubic hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03139","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":"sha256:5679e8357c068e8c9a65df7053ef7380c07f8790532b2e8a1e31fcea85768250","target":"record","created_at":"2026-07-04T23:52:26Z","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":"286db3f22cdc43281f5593668e6160675e53e431b4d6424e5da941954d4e65f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-08T16:12:53Z","title_canon_sha256":"3120a625d32adbe72f399fbf24940ee36512e47292d230a8e4033cfcbf48de72"},"schema_version":"1.0","source":{"id":"1908.03139","kind":"arxiv","version":1}},"canonical_sha256":"f3f97aa61cdcf61fa488319cfeeb5323e52ec8672992dd7e07d6d11e658df6c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3f97aa61cdcf61fa488319cfeeb5323e52ec8672992dd7e07d6d11e658df6c1","first_computed_at":"2026-07-04T23:52:26.308893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:52:26.308893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HLxUP5nGa/SKNIh31CxeH1G58OLLeUjH3n05BFOq6EtZvoBq6R2p+5zr6xmNsAaqFBnQHn7KDVLouYm0L/NSDg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:52:26.309453Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.03139","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5679e8357c068e8c9a65df7053ef7380c07f8790532b2e8a1e31fcea85768250","sha256:0a14a1f615400d664c8911d5016acb0b084efd6091d9fd8db926863019732387"],"state_sha256":"ba2e7cfa007d93b7f27f637c83ffe32143a94d03d6e92d3f7e07b64aa109a821"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3u8cQ/sFZJjs7t55tFVMa2Ec8YdxxmRzpt30I2v99o2QRDYlGF+WC+/5pToQl+jllzUV4UH1S7YKYhfOzLHMBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T16:57:51.038877Z","bundle_sha256":"166a1c7f97044b70bbad9bc40f79b7c405e69f713ea03cf371b14f99695bd796"}}