{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:HFD55F46JNVLDIGOJRUN35QJKN","short_pith_number":"pith:HFD55F46","canonical_record":{"source":{"id":"0812.3258","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-17T11:28:45Z","cross_cats_sorted":[],"title_canon_sha256":"4e91a2c6c1d5363cd9c8008713f019de859c8e588886246e1ad661ac56668ee6","abstract_canon_sha256":"7d1ab917c57fd42ddc0e219d6e5f93d81d9cfb0d5a1d7adff2d005108c7dd228"},"schema_version":"1.0"},"canonical_sha256":"3947de979e4b6ab1a0ce4c68ddf60953495bb24f22b04f0f987135dd423bfc97","source":{"kind":"arxiv","id":"0812.3258","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.3258","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"0812.3258v2","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3258","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"HFD55F46JNVL","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"HFD55F46JNVLDIGO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"HFD55F46","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:HFD55F46JNVLDIGOJRUN35QJKN","target":"record","payload":{"canonical_record":{"source":{"id":"0812.3258","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-17T11:28:45Z","cross_cats_sorted":[],"title_canon_sha256":"4e91a2c6c1d5363cd9c8008713f019de859c8e588886246e1ad661ac56668ee6","abstract_canon_sha256":"7d1ab917c57fd42ddc0e219d6e5f93d81d9cfb0d5a1d7adff2d005108c7dd228"},"schema_version":"1.0"},"canonical_sha256":"3947de979e4b6ab1a0ce4c68ddf60953495bb24f22b04f0f987135dd423bfc97","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:18.949364Z","signature_b64":"GtZc2QWOHp1rtoPsuw2DJveWeh7o6Np+QSc1ogpSvkR2OpWfVuUss0+zVHpx6SHk6ukx+wGZOxHMIphX0CdwCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3947de979e4b6ab1a0ce4c68ddf60953495bb24f22b04f0f987135dd423bfc97","last_reissued_at":"2026-05-18T02:38:18.948883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:18.948883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.3258","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:38:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mAVUCm7TUfMsbyD78fJMlRKsNVtB3WRj2e76qpzYrxDsCmhfnrA0bqiZx2a9i+hJ2RRJtiYToae+YxQFROj3CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T11:50:46.239951Z"},"content_sha256":"3be6c0fd03288112eb51108bcdb1cf1d2fc4f90cd813c16a5eb2c9e30ab91384","schema_version":"1.0","event_id":"sha256:3be6c0fd03288112eb51108bcdb1cf1d2fc4f90cd813c16a5eb2c9e30ab91384"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:HFD55F46JNVLDIGOJRUN35QJKN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Plane sextics via dessins d'enfants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alex Degtyarev","submitted_at":"2008-12-17T11:28:45Z","abstract_excerpt":"We develop a geometric approach to the study of plane sextics with a triple singular point. As an application, we give an explicit geometric description of all irreducible maximal sextics with a type $\\bold E_7$ singular point and compute their fundamental groups. All groups found are finite; one of them is nonabelian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3258","kind":"arxiv","version":2},"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":"2026-05-18T02:38:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oJnHaBy++pRwqDQDbcy6HxDz9qkHJVSeMQUIuEkQw4ow86dfaHvXM/RyozWLHYnjoDeqi7+rmtHW1IZMpJMABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T11:50:46.240297Z"},"content_sha256":"9091b555479c05669248defd42bf38a7ad3846a40bb71c9511f1c49720ddf73f","schema_version":"1.0","event_id":"sha256:9091b555479c05669248defd42bf38a7ad3846a40bb71c9511f1c49720ddf73f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HFD55F46JNVLDIGOJRUN35QJKN/bundle.json","state_url":"https://pith.science/pith/HFD55F46JNVLDIGOJRUN35QJKN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HFD55F46JNVLDIGOJRUN35QJKN/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":"2026-06-25T11:50:46Z","links":{"resolver":"https://pith.science/pith/HFD55F46JNVLDIGOJRUN35QJKN","bundle":"https://pith.science/pith/HFD55F46JNVLDIGOJRUN35QJKN/bundle.json","state":"https://pith.science/pith/HFD55F46JNVLDIGOJRUN35QJKN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HFD55F46JNVLDIGOJRUN35QJKN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:HFD55F46JNVLDIGOJRUN35QJKN","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":"7d1ab917c57fd42ddc0e219d6e5f93d81d9cfb0d5a1d7adff2d005108c7dd228","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-17T11:28:45Z","title_canon_sha256":"4e91a2c6c1d5363cd9c8008713f019de859c8e588886246e1ad661ac56668ee6"},"schema_version":"1.0","source":{"id":"0812.3258","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.3258","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"0812.3258v2","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3258","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"HFD55F46JNVL","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"HFD55F46JNVLDIGO","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"HFD55F46","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:9091b555479c05669248defd42bf38a7ad3846a40bb71c9511f1c49720ddf73f","target":"graph","created_at":"2026-05-18T02:38:18Z","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 develop a geometric approach to the study of plane sextics with a triple singular point. As an application, we give an explicit geometric description of all irreducible maximal sextics with a type $\\bold E_7$ singular point and compute their fundamental groups. All groups found are finite; one of them is nonabelian.","authors_text":"Alex Degtyarev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-17T11:28:45Z","title":"Plane sextics via dessins d'enfants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3258","kind":"arxiv","version":2},"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":"sha256:3be6c0fd03288112eb51108bcdb1cf1d2fc4f90cd813c16a5eb2c9e30ab91384","target":"record","created_at":"2026-05-18T02:38:18Z","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":"7d1ab917c57fd42ddc0e219d6e5f93d81d9cfb0d5a1d7adff2d005108c7dd228","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-17T11:28:45Z","title_canon_sha256":"4e91a2c6c1d5363cd9c8008713f019de859c8e588886246e1ad661ac56668ee6"},"schema_version":"1.0","source":{"id":"0812.3258","kind":"arxiv","version":2}},"canonical_sha256":"3947de979e4b6ab1a0ce4c68ddf60953495bb24f22b04f0f987135dd423bfc97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3947de979e4b6ab1a0ce4c68ddf60953495bb24f22b04f0f987135dd423bfc97","first_computed_at":"2026-05-18T02:38:18.948883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:18.948883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GtZc2QWOHp1rtoPsuw2DJveWeh7o6Np+QSc1ogpSvkR2OpWfVuUss0+zVHpx6SHk6ukx+wGZOxHMIphX0CdwCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:18.949364Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.3258","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3be6c0fd03288112eb51108bcdb1cf1d2fc4f90cd813c16a5eb2c9e30ab91384","sha256:9091b555479c05669248defd42bf38a7ad3846a40bb71c9511f1c49720ddf73f"],"state_sha256":"26de23e6f295f145dcbb6e6456c01d17b0c89a1d7a877f93a4ec348939e2c07a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5DHDZr5jOP4nQwLiY/wsia11z4t3WDp85UaYr8/m6G+dAiyBNn9hyoFVgA7y4Zmevc7hABSXjB0xeR2c2ilHAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T11:50:46.242204Z","bundle_sha256":"8079ecc93e06469d77f7c1291c9b4cf48445dcb7bd3557791a6182907cbd9957"}}