{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:D6XIZ4MNLXXVJAIZDF5BEIFCHH","short_pith_number":"pith:D6XIZ4MN","canonical_record":{"source":{"id":"1611.02371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-08T02:46:26Z","cross_cats_sorted":[],"title_canon_sha256":"921398121c196a87a88f3f6e082c26c59238449f686b86bbd6345581f2556678","abstract_canon_sha256":"fb68abfd57e0f9ff8b3f5a9b251ac6d3032ba405cae18c949cc90e87c0ec03fd"},"schema_version":"1.0"},"canonical_sha256":"1fae8cf18d5def548119197a1220a239de22096749f0af2e50cc1c31ed404f44","source":{"kind":"arxiv","id":"1611.02371","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.02371","created_at":"2026-05-18T00:59:52Z"},{"alias_kind":"arxiv_version","alias_value":"1611.02371v1","created_at":"2026-05-18T00:59:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.02371","created_at":"2026-05-18T00:59:52Z"},{"alias_kind":"pith_short_12","alias_value":"D6XIZ4MNLXXV","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"D6XIZ4MNLXXVJAIZ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"D6XIZ4MN","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:D6XIZ4MNLXXVJAIZDF5BEIFCHH","target":"record","payload":{"canonical_record":{"source":{"id":"1611.02371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-08T02:46:26Z","cross_cats_sorted":[],"title_canon_sha256":"921398121c196a87a88f3f6e082c26c59238449f686b86bbd6345581f2556678","abstract_canon_sha256":"fb68abfd57e0f9ff8b3f5a9b251ac6d3032ba405cae18c949cc90e87c0ec03fd"},"schema_version":"1.0"},"canonical_sha256":"1fae8cf18d5def548119197a1220a239de22096749f0af2e50cc1c31ed404f44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:52.271612Z","signature_b64":"AvMW9hA/Xe5Ia/rY/wvr+7dcCNt34j5GAXT6Oz8ZFWEhNwdywMsGZ3qGUOXG6W2Lzect5KjJGdEvvPsKBDNrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fae8cf18d5def548119197a1220a239de22096749f0af2e50cc1c31ed404f44","last_reissued_at":"2026-05-18T00:59:52.271063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:52.271063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.02371","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":"2026-05-18T00:59:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GYPGRBHwzOwLkJr1p0L//A3eyMN5y+dax12JjwGS5DM8BFCQDLN6O667LMkO6zSo3/VZ7kIEskyGOwREOETJDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T01:14:18.926930Z"},"content_sha256":"6d62572c6816a2b1d8c3a4b4b9ddbe696a3aa6fb79c9c34cd4b02a62bb21f3b0","schema_version":"1.0","event_id":"sha256:6d62572c6816a2b1d8c3a4b4b9ddbe696a3aa6fb79c9c34cd4b02a62bb21f3b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:D6XIZ4MNLXXVJAIZDF5BEIFCHH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Number of points of a nonsingular hypersurface in an odd-dimensional projective space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Masaaki Homma, Seon Jeong Kim","submitted_at":"2016-11-08T02:46:26Z","abstract_excerpt":"The numbers of $\\mathbb{F}_q$-points of nonsingular hypersurfaces of a fixed degree in an odd-dimensional projective space are investigated, and an upper bound for them is given. Also we give the complete list of nonsingular hypersurfaces each of which realizes the upper bound. This is a natural generalization of our previous study of surfaces in projective $3$-space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02371","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":""},"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":"2026-05-18T00:59:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5q+GYO95TJc77Xt1qY19Rmyn4J/6XtY8U+Y3sHOL2TkOXFbefdub+S0xgryeVGnCfF4pFrZXpgWZpxK3yleVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T01:14:18.927268Z"},"content_sha256":"22ebe00ee8d899056bd1c9818fa68311bebbf959e26f35ce1148f9bc3c1e7c6b","schema_version":"1.0","event_id":"sha256:22ebe00ee8d899056bd1c9818fa68311bebbf959e26f35ce1148f9bc3c1e7c6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6XIZ4MNLXXVJAIZDF5BEIFCHH/bundle.json","state_url":"https://pith.science/pith/D6XIZ4MNLXXVJAIZDF5BEIFCHH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6XIZ4MNLXXVJAIZDF5BEIFCHH/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":"2026-06-28T01:14:18Z","links":{"resolver":"https://pith.science/pith/D6XIZ4MNLXXVJAIZDF5BEIFCHH","bundle":"https://pith.science/pith/D6XIZ4MNLXXVJAIZDF5BEIFCHH/bundle.json","state":"https://pith.science/pith/D6XIZ4MNLXXVJAIZDF5BEIFCHH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6XIZ4MNLXXVJAIZDF5BEIFCHH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:D6XIZ4MNLXXVJAIZDF5BEIFCHH","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":"fb68abfd57e0f9ff8b3f5a9b251ac6d3032ba405cae18c949cc90e87c0ec03fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-08T02:46:26Z","title_canon_sha256":"921398121c196a87a88f3f6e082c26c59238449f686b86bbd6345581f2556678"},"schema_version":"1.0","source":{"id":"1611.02371","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.02371","created_at":"2026-05-18T00:59:52Z"},{"alias_kind":"arxiv_version","alias_value":"1611.02371v1","created_at":"2026-05-18T00:59:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.02371","created_at":"2026-05-18T00:59:52Z"},{"alias_kind":"pith_short_12","alias_value":"D6XIZ4MNLXXV","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"D6XIZ4MNLXXVJAIZ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"D6XIZ4MN","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:22ebe00ee8d899056bd1c9818fa68311bebbf959e26f35ce1148f9bc3c1e7c6b","target":"graph","created_at":"2026-05-18T00:59:52Z","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 numbers of $\\mathbb{F}_q$-points of nonsingular hypersurfaces of a fixed degree in an odd-dimensional projective space are investigated, and an upper bound for them is given. Also we give the complete list of nonsingular hypersurfaces each of which realizes the upper bound. This is a natural generalization of our previous study of surfaces in projective $3$-space.","authors_text":"Masaaki Homma, Seon Jeong Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-08T02:46:26Z","title":"Number of points of a nonsingular hypersurface in an odd-dimensional projective space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02371","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":"sha256:6d62572c6816a2b1d8c3a4b4b9ddbe696a3aa6fb79c9c34cd4b02a62bb21f3b0","target":"record","created_at":"2026-05-18T00:59:52Z","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":"fb68abfd57e0f9ff8b3f5a9b251ac6d3032ba405cae18c949cc90e87c0ec03fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-08T02:46:26Z","title_canon_sha256":"921398121c196a87a88f3f6e082c26c59238449f686b86bbd6345581f2556678"},"schema_version":"1.0","source":{"id":"1611.02371","kind":"arxiv","version":1}},"canonical_sha256":"1fae8cf18d5def548119197a1220a239de22096749f0af2e50cc1c31ed404f44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1fae8cf18d5def548119197a1220a239de22096749f0af2e50cc1c31ed404f44","first_computed_at":"2026-05-18T00:59:52.271063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:52.271063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AvMW9hA/Xe5Ia/rY/wvr+7dcCNt34j5GAXT6Oz8ZFWEhNwdywMsGZ3qGUOXG6W2Lzect5KjJGdEvvPsKBDNrDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:52.271612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.02371","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d62572c6816a2b1d8c3a4b4b9ddbe696a3aa6fb79c9c34cd4b02a62bb21f3b0","sha256:22ebe00ee8d899056bd1c9818fa68311bebbf959e26f35ce1148f9bc3c1e7c6b"],"state_sha256":"fe86ad6695fd4168933089863f8842f0c44926d285a6adaac3b6b952ffd1d0da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JDYgeYBxUf6a1/j3itnacQfirdFIJq55O7Z3ivPv2yymECJh1MuZPGlABQeH3FrwvyeQmhAGZoBhSrKC0c6AAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T01:14:18.929126Z","bundle_sha256":"c7429605e5b97220c8fdefa1d87331a9ae0ebe700a2620dfa76abac9254b5601"}}