{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:2BYXWFYGAV75E4JUOPQOO7QXFK","short_pith_number":"pith:2BYXWFYG","canonical_record":{"source":{"id":"1102.3414","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-02-16T20:10:07Z","cross_cats_sorted":[],"title_canon_sha256":"6f8bb1d041fb62fadec42dae508a52d007c50594ac6415f113b48589fcb60276","abstract_canon_sha256":"19f054fe722d742e1dd141d9eec0b3b04ca9b8661b2d3393acdccf0027ba90b4"},"schema_version":"1.0"},"canonical_sha256":"d0717b1706057fd2713473e0e77e172a9bcb4e238c23e44022beed3ed14d0028","source":{"kind":"arxiv","id":"1102.3414","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3414","created_at":"2026-05-18T02:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3414v1","created_at":"2026-05-18T02:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3414","created_at":"2026-05-18T02:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"2BYXWFYGAV75","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2BYXWFYGAV75E4JU","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2BYXWFYG","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:2BYXWFYGAV75E4JUOPQOO7QXFK","target":"record","payload":{"canonical_record":{"source":{"id":"1102.3414","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-02-16T20:10:07Z","cross_cats_sorted":[],"title_canon_sha256":"6f8bb1d041fb62fadec42dae508a52d007c50594ac6415f113b48589fcb60276","abstract_canon_sha256":"19f054fe722d742e1dd141d9eec0b3b04ca9b8661b2d3393acdccf0027ba90b4"},"schema_version":"1.0"},"canonical_sha256":"d0717b1706057fd2713473e0e77e172a9bcb4e238c23e44022beed3ed14d0028","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:24.600243Z","signature_b64":"OlhYAIVvYC40L/OTz0qmtXQcQb4d+Tq2xAf8JuwXjo05Cjbr7J1z0mhRZ1LcvmTCJo0VSP2kqkPdWlW4uR8pAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0717b1706057fd2713473e0e77e172a9bcb4e238c23e44022beed3ed14d0028","last_reissued_at":"2026-05-18T02:50:24.599679Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:24.599679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.3414","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":"2026-05-18T02:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3r4KLJAKpomBBwnmOHcCyMQUw/uifSpr8/qufJ8ZxCiGgtSPpCo3RoUERlHksBXZCvlgaQ0VGNYSDgAqAPXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:56:59.734410Z"},"content_sha256":"d97eb2c693d791dc57e51261c60dc90e47d19ba0599a3d84fb55746b38146caf","schema_version":"1.0","event_id":"sha256:d97eb2c693d791dc57e51261c60dc90e47d19ba0599a3d84fb55746b38146caf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:2BYXWFYGAV75E4JUOPQOO7QXFK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Real trigonal curves and real elliptic surfaces of type I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alex Degtyarev, Ilia Itenberg, Victor Zvonilov","submitted_at":"2011-02-16T20:10:07Z","abstract_excerpt":"We study real trigonal curves and elliptic surfaces of type $\\I$ (over a base of an arbitrary genus) and their fiberwise equivariant deformations. The principal tool is a real version of Grothendieck's \\emph{dessins d'enfants}. We give a description of maximally inflected trigonal curves of type $\\I$ in terms of the combinatorics of sufficiently simple graphs and, in the case of the rational base, obtain a complete classification of such curves. As a consequence, these results lead to conclusions concerning real Jacobian elliptic surfaces of type $\\I$ with all singular fibers real."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3414","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":"2026-05-18T02:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bjxrX/pH9Hn2zV8iBIKboEcfQvB4B1Az2i16VQppPVEOU9xAAni1mdVYRhcjPV5QN8nT21pCkatV4F3Ui6CxBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:56:59.734760Z"},"content_sha256":"92b11816098941936c135aef2bbdf2950b72b09a1c03819fbdf3ad3fdd6a6cae","schema_version":"1.0","event_id":"sha256:92b11816098941936c135aef2bbdf2950b72b09a1c03819fbdf3ad3fdd6a6cae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BYXWFYGAV75E4JUOPQOO7QXFK/bundle.json","state_url":"https://pith.science/pith/2BYXWFYGAV75E4JUOPQOO7QXFK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BYXWFYGAV75E4JUOPQOO7QXFK/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":"2026-05-28T12:56:59Z","links":{"resolver":"https://pith.science/pith/2BYXWFYGAV75E4JUOPQOO7QXFK","bundle":"https://pith.science/pith/2BYXWFYGAV75E4JUOPQOO7QXFK/bundle.json","state":"https://pith.science/pith/2BYXWFYGAV75E4JUOPQOO7QXFK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BYXWFYGAV75E4JUOPQOO7QXFK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2BYXWFYGAV75E4JUOPQOO7QXFK","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":"19f054fe722d742e1dd141d9eec0b3b04ca9b8661b2d3393acdccf0027ba90b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-02-16T20:10:07Z","title_canon_sha256":"6f8bb1d041fb62fadec42dae508a52d007c50594ac6415f113b48589fcb60276"},"schema_version":"1.0","source":{"id":"1102.3414","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3414","created_at":"2026-05-18T02:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3414v1","created_at":"2026-05-18T02:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3414","created_at":"2026-05-18T02:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"2BYXWFYGAV75","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2BYXWFYGAV75E4JU","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2BYXWFYG","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:92b11816098941936c135aef2bbdf2950b72b09a1c03819fbdf3ad3fdd6a6cae","target":"graph","created_at":"2026-05-18T02:50:24Z","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 study real trigonal curves and elliptic surfaces of type $\\I$ (over a base of an arbitrary genus) and their fiberwise equivariant deformations. The principal tool is a real version of Grothendieck's \\emph{dessins d'enfants}. We give a description of maximally inflected trigonal curves of type $\\I$ in terms of the combinatorics of sufficiently simple graphs and, in the case of the rational base, obtain a complete classification of such curves. As a consequence, these results lead to conclusions concerning real Jacobian elliptic surfaces of type $\\I$ with all singular fibers real.","authors_text":"Alex Degtyarev, Ilia Itenberg, Victor Zvonilov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-02-16T20:10:07Z","title":"Real trigonal curves and real elliptic surfaces of type I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3414","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:d97eb2c693d791dc57e51261c60dc90e47d19ba0599a3d84fb55746b38146caf","target":"record","created_at":"2026-05-18T02:50:24Z","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":"19f054fe722d742e1dd141d9eec0b3b04ca9b8661b2d3393acdccf0027ba90b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-02-16T20:10:07Z","title_canon_sha256":"6f8bb1d041fb62fadec42dae508a52d007c50594ac6415f113b48589fcb60276"},"schema_version":"1.0","source":{"id":"1102.3414","kind":"arxiv","version":1}},"canonical_sha256":"d0717b1706057fd2713473e0e77e172a9bcb4e238c23e44022beed3ed14d0028","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0717b1706057fd2713473e0e77e172a9bcb4e238c23e44022beed3ed14d0028","first_computed_at":"2026-05-18T02:50:24.599679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:24.599679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OlhYAIVvYC40L/OTz0qmtXQcQb4d+Tq2xAf8JuwXjo05Cjbr7J1z0mhRZ1LcvmTCJo0VSP2kqkPdWlW4uR8pAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:24.600243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.3414","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d97eb2c693d791dc57e51261c60dc90e47d19ba0599a3d84fb55746b38146caf","sha256:92b11816098941936c135aef2bbdf2950b72b09a1c03819fbdf3ad3fdd6a6cae"],"state_sha256":"a9fa4227cc170dbc0780759babaa055b04f87c59a2bf94417344284a49f3acfc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZDCNGjloqeMueXcl6vHS0ktJGh8WG3UrSfldbOXEMHrIAAXyb84oMuat2sILd5d4SfDSwPtraEVbhelAhlfICA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:56:59.736743Z","bundle_sha256":"587c6fa2b074e934e3793a37f24075c12cce06a2e74fa6a468979f720d00e98c"}}