{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:KOT4JANAN4ESASTEDUQ4KPSYQS","short_pith_number":"pith:KOT4JANA","canonical_record":{"source":{"id":"0805.2277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-05-15T12:34:34Z","cross_cats_sorted":[],"title_canon_sha256":"e3f667eac838b2e0a2561146a1d5305f3f67eb82c17e4cb4c2be0a4e49629c51","abstract_canon_sha256":"87dd5b43142ddd56b616727be5be40024ca43dc93b91ae5a765568500f06c4de"},"schema_version":"1.0"},"canonical_sha256":"53a7c481a06f09204a641d21c53e5884bad13482463696c85f1dadc40e61b243","source":{"kind":"arxiv","id":"0805.2277","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.2277","created_at":"2026-05-18T04:16:42Z"},{"alias_kind":"arxiv_version","alias_value":"0805.2277v1","created_at":"2026-05-18T04:16:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.2277","created_at":"2026-05-18T04:16:42Z"},{"alias_kind":"pith_short_12","alias_value":"KOT4JANAN4ES","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"KOT4JANAN4ESASTE","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"KOT4JANA","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:KOT4JANAN4ESASTEDUQ4KPSYQS","target":"record","payload":{"canonical_record":{"source":{"id":"0805.2277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-05-15T12:34:34Z","cross_cats_sorted":[],"title_canon_sha256":"e3f667eac838b2e0a2561146a1d5305f3f67eb82c17e4cb4c2be0a4e49629c51","abstract_canon_sha256":"87dd5b43142ddd56b616727be5be40024ca43dc93b91ae5a765568500f06c4de"},"schema_version":"1.0"},"canonical_sha256":"53a7c481a06f09204a641d21c53e5884bad13482463696c85f1dadc40e61b243","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:42.548572Z","signature_b64":"rGcgZlQHaki64oPFlg3sdOSyvdZg9UJtHFjEJPuxNcn4ogm+7jnuwKg/3Ef+oIv+pKEYWJmj8R2luoJQ9BEhAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53a7c481a06f09204a641d21c53e5884bad13482463696c85f1dadc40e61b243","last_reissued_at":"2026-05-18T04:16:42.547795Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:42.547795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0805.2277","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":"2026-05-18T04:16:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yWH2LS4coBNwG7EFFfUNhHOvDCLYrJAXq9zdVsiOmACTaXCI+T6g47dH5TtzqWVhMt7FPTBj/tWsWZwpEH/pCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T05:13:13.488709Z"},"content_sha256":"613eeef539952844402519696bb603e4bcdb2d09289669ad7c357547f5abfa06","schema_version":"1.0","event_id":"sha256:613eeef539952844402519696bb603e4bcdb2d09289669ad7c357547f5abfa06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:KOT4JANAN4ESASTEDUQ4KPSYQS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fundamental groups of symmetric sextics. II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alex Degtyarev","submitted_at":"2008-05-15T12:34:34Z","abstract_excerpt":"We study the moduli spaces and compute the fundamental groups of plane sextics of torus type with the set of inner singularities $2\\bold{A}_8$ or $\\bold{A}_{17}$. We also compute the fundamental groups of a number of other sextics, both of and not of torus type. The groups found are simplest possible, i.e., $\\Bbb{Z}_2*\\Bbb{Z}_3$ and $\\Bbb{Z}_6$, respectively."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.2277","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":"2026-05-18T04:16:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mqLv8pmgh4u8YZuefQF7/KyeYOAVwpxabCHG5wDvH7kgWzuOHeL2lbs5H3ODBEkOqQ2EBB7Q8aHYuIwXyicKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T05:13:13.489069Z"},"content_sha256":"c36a24c1d1d61dd54b731fcb3ff9a9f666da9453047491e6af67e8d3d1b8c8ca","schema_version":"1.0","event_id":"sha256:c36a24c1d1d61dd54b731fcb3ff9a9f666da9453047491e6af67e8d3d1b8c8ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOT4JANAN4ESASTEDUQ4KPSYQS/bundle.json","state_url":"https://pith.science/pith/KOT4JANAN4ESASTEDUQ4KPSYQS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOT4JANAN4ESASTEDUQ4KPSYQS/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":"2026-06-25T05:13:13Z","links":{"resolver":"https://pith.science/pith/KOT4JANAN4ESASTEDUQ4KPSYQS","bundle":"https://pith.science/pith/KOT4JANAN4ESASTEDUQ4KPSYQS/bundle.json","state":"https://pith.science/pith/KOT4JANAN4ESASTEDUQ4KPSYQS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOT4JANAN4ESASTEDUQ4KPSYQS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:KOT4JANAN4ESASTEDUQ4KPSYQS","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":"87dd5b43142ddd56b616727be5be40024ca43dc93b91ae5a765568500f06c4de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-05-15T12:34:34Z","title_canon_sha256":"e3f667eac838b2e0a2561146a1d5305f3f67eb82c17e4cb4c2be0a4e49629c51"},"schema_version":"1.0","source":{"id":"0805.2277","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.2277","created_at":"2026-05-18T04:16:42Z"},{"alias_kind":"arxiv_version","alias_value":"0805.2277v1","created_at":"2026-05-18T04:16:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.2277","created_at":"2026-05-18T04:16:42Z"},{"alias_kind":"pith_short_12","alias_value":"KOT4JANAN4ES","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"KOT4JANAN4ESASTE","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"KOT4JANA","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:c36a24c1d1d61dd54b731fcb3ff9a9f666da9453047491e6af67e8d3d1b8c8ca","target":"graph","created_at":"2026-05-18T04:16:42Z","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 the moduli spaces and compute the fundamental groups of plane sextics of torus type with the set of inner singularities $2\\bold{A}_8$ or $\\bold{A}_{17}$. We also compute the fundamental groups of a number of other sextics, both of and not of torus type. The groups found are simplest possible, i.e., $\\Bbb{Z}_2*\\Bbb{Z}_3$ and $\\Bbb{Z}_6$, respectively.","authors_text":"Alex Degtyarev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-05-15T12:34:34Z","title":"Fundamental groups of symmetric sextics. II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.2277","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":"sha256:613eeef539952844402519696bb603e4bcdb2d09289669ad7c357547f5abfa06","target":"record","created_at":"2026-05-18T04:16:42Z","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":"87dd5b43142ddd56b616727be5be40024ca43dc93b91ae5a765568500f06c4de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-05-15T12:34:34Z","title_canon_sha256":"e3f667eac838b2e0a2561146a1d5305f3f67eb82c17e4cb4c2be0a4e49629c51"},"schema_version":"1.0","source":{"id":"0805.2277","kind":"arxiv","version":1}},"canonical_sha256":"53a7c481a06f09204a641d21c53e5884bad13482463696c85f1dadc40e61b243","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53a7c481a06f09204a641d21c53e5884bad13482463696c85f1dadc40e61b243","first_computed_at":"2026-05-18T04:16:42.547795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:42.547795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rGcgZlQHaki64oPFlg3sdOSyvdZg9UJtHFjEJPuxNcn4ogm+7jnuwKg/3Ef+oIv+pKEYWJmj8R2luoJQ9BEhAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:42.548572Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.2277","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:613eeef539952844402519696bb603e4bcdb2d09289669ad7c357547f5abfa06","sha256:c36a24c1d1d61dd54b731fcb3ff9a9f666da9453047491e6af67e8d3d1b8c8ca"],"state_sha256":"efd8fc292e7ffe2093888d95c30aba38784e458b9c6added07b8278dda393f1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VvKJf1O2/4TIDPJZ1frYJiOHonsB4f84KJd/Lvb/bLwpah0EX4H9DtuO5E6ihHYdNTJg3fY9isEvqWVae+t2AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T05:13:13.491001Z","bundle_sha256":"994d523ab06247ed986b48063accbf7ab5535abbbe68c04e0032cc6bcdf7133e"}}