{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4SQFOHD6DRFI6LCJKPSOHD7BUA","short_pith_number":"pith:4SQFOHD6","canonical_record":{"source":{"id":"1202.5221","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-23T16:01:47Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"c3dd71250d96da6549f55821c7cd72d2912335259f7360eadce97d8f04c7c018","abstract_canon_sha256":"ef14ec88f923f6ce3605c8ad961e8318ed6cf510727c08b55b3305d793b5bf77"},"schema_version":"1.0"},"canonical_sha256":"e4a0571c7e1c4a8f2c4953e4e38fe1a00a651756249c3d86b4ab7ac8a2331471","source":{"kind":"arxiv","id":"1202.5221","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5221","created_at":"2026-05-18T03:19:23Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5221v3","created_at":"2026-05-18T03:19:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5221","created_at":"2026-05-18T03:19:23Z"},{"alias_kind":"pith_short_12","alias_value":"4SQFOHD6DRFI","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4SQFOHD6DRFI6LCJ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4SQFOHD6","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4SQFOHD6DRFI6LCJKPSOHD7BUA","target":"record","payload":{"canonical_record":{"source":{"id":"1202.5221","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-23T16:01:47Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"c3dd71250d96da6549f55821c7cd72d2912335259f7360eadce97d8f04c7c018","abstract_canon_sha256":"ef14ec88f923f6ce3605c8ad961e8318ed6cf510727c08b55b3305d793b5bf77"},"schema_version":"1.0"},"canonical_sha256":"e4a0571c7e1c4a8f2c4953e4e38fe1a00a651756249c3d86b4ab7ac8a2331471","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:23.430692Z","signature_b64":"er3KWoy4a0tVFJ4fXU4GA3iT/C9HZjCKHKeIV0TnSlfyFo6y8jO4SfVq1sZpqsUkyk/jjEn7XsLHXTlw0n5cAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4a0571c7e1c4a8f2c4953e4e38fe1a00a651756249c3d86b4ab7ac8a2331471","last_reissued_at":"2026-05-18T03:19:23.430064Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:23.430064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.5221","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":"2026-05-18T03:19:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mNHlik3cwXUXlim51BJvZ67OdoBdrdg53pB0XXy6bgzqGQI+QaJM86AYjVwas9GYIvY6zMvrQwoukSgLliTpDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:25:14.780680Z"},"content_sha256":"c377517a0f9cf01b4aef96b5a68f9736dec62479dc1f64a7a37fe8f7810e7ad8","schema_version":"1.0","event_id":"sha256:c377517a0f9cf01b4aef96b5a68f9736dec62479dc1f64a7a37fe8f7810e7ad8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4SQFOHD6DRFI6LCJKPSOHD7BUA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some remarks on cyclic Galois coverings of the projective line over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Alberto Besana, Cristina Martinez Ramirez","submitted_at":"2012-02-23T16:01:47Z","abstract_excerpt":"We study cyclic finite Galois extensions of the rational function field of the projective line P^{1}(F_q) over a finite field F_q with q elements defined by considering quotient curves by finite subgroups of the projective linear group PGL(2,q), and we enumerate them expressing the count in terms of Stirling numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5221","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":"2026-05-18T03:19:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x4JztyFQ/Me4fRUDQ8gin40L8fxDuAoHndQ/xrdofewQIks9+TgnU3M2vZ0mLuh7BfZ8JMwGsdTCz9YdF2QtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:25:14.781031Z"},"content_sha256":"0a0f668de46980eb196091ad3a800fc93c51269893c79037b824d1891c85d71a","schema_version":"1.0","event_id":"sha256:0a0f668de46980eb196091ad3a800fc93c51269893c79037b824d1891c85d71a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SQFOHD6DRFI6LCJKPSOHD7BUA/bundle.json","state_url":"https://pith.science/pith/4SQFOHD6DRFI6LCJKPSOHD7BUA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SQFOHD6DRFI6LCJKPSOHD7BUA/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":"2026-05-28T05:25:14Z","links":{"resolver":"https://pith.science/pith/4SQFOHD6DRFI6LCJKPSOHD7BUA","bundle":"https://pith.science/pith/4SQFOHD6DRFI6LCJKPSOHD7BUA/bundle.json","state":"https://pith.science/pith/4SQFOHD6DRFI6LCJKPSOHD7BUA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SQFOHD6DRFI6LCJKPSOHD7BUA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4SQFOHD6DRFI6LCJKPSOHD7BUA","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":"ef14ec88f923f6ce3605c8ad961e8318ed6cf510727c08b55b3305d793b5bf77","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-23T16:01:47Z","title_canon_sha256":"c3dd71250d96da6549f55821c7cd72d2912335259f7360eadce97d8f04c7c018"},"schema_version":"1.0","source":{"id":"1202.5221","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5221","created_at":"2026-05-18T03:19:23Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5221v3","created_at":"2026-05-18T03:19:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5221","created_at":"2026-05-18T03:19:23Z"},{"alias_kind":"pith_short_12","alias_value":"4SQFOHD6DRFI","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4SQFOHD6DRFI6LCJ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4SQFOHD6","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:0a0f668de46980eb196091ad3a800fc93c51269893c79037b824d1891c85d71a","target":"graph","created_at":"2026-05-18T03:19:23Z","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 cyclic finite Galois extensions of the rational function field of the projective line P^{1}(F_q) over a finite field F_q with q elements defined by considering quotient curves by finite subgroups of the projective linear group PGL(2,q), and we enumerate them expressing the count in terms of Stirling numbers.","authors_text":"Alberto Besana, Cristina Martinez Ramirez","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-23T16:01:47Z","title":"Some remarks on cyclic Galois coverings of the projective line over finite fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5221","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:c377517a0f9cf01b4aef96b5a68f9736dec62479dc1f64a7a37fe8f7810e7ad8","target":"record","created_at":"2026-05-18T03:19:23Z","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":"ef14ec88f923f6ce3605c8ad961e8318ed6cf510727c08b55b3305d793b5bf77","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-23T16:01:47Z","title_canon_sha256":"c3dd71250d96da6549f55821c7cd72d2912335259f7360eadce97d8f04c7c018"},"schema_version":"1.0","source":{"id":"1202.5221","kind":"arxiv","version":3}},"canonical_sha256":"e4a0571c7e1c4a8f2c4953e4e38fe1a00a651756249c3d86b4ab7ac8a2331471","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4a0571c7e1c4a8f2c4953e4e38fe1a00a651756249c3d86b4ab7ac8a2331471","first_computed_at":"2026-05-18T03:19:23.430064Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:23.430064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"er3KWoy4a0tVFJ4fXU4GA3iT/C9HZjCKHKeIV0TnSlfyFo6y8jO4SfVq1sZpqsUkyk/jjEn7XsLHXTlw0n5cAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:23.430692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5221","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c377517a0f9cf01b4aef96b5a68f9736dec62479dc1f64a7a37fe8f7810e7ad8","sha256:0a0f668de46980eb196091ad3a800fc93c51269893c79037b824d1891c85d71a"],"state_sha256":"46f8971f2ef2aac20d9c4b60cd52f50b2aab3f73125c18cc7404806474ad0c3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zohxpzfaZZq+9QFy9u2LtvVmUmpT80T9RWrsyVVAgha1FFnivEHvmhhp4qfwzsq4XxGLaMnDq+P/VaaNbtFFCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:25:14.783047Z","bundle_sha256":"7bc548dbfc1c7c21dfb88e568d2da7988ccd24397c7105cbb5dfe8aa5548a012"}}