{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RSXGG7RFT3W2YZ4OUCSEKH4254","short_pith_number":"pith:RSXGG7RF","canonical_record":{"source":{"id":"1412.7744","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-24T20:08:22Z","cross_cats_sorted":[],"title_canon_sha256":"fde03862d40c7071c65585a267ae0d66a6a5469ff11846d3035e8dbcfb57ddf5","abstract_canon_sha256":"0612143d591b5335bcef42565990bfeb8332c8ab349a9893ab7b724375120526"},"schema_version":"1.0"},"canonical_sha256":"8cae637e259eedac678ea0a4451f9aef1cdb53fbc51238d84d6de36c0e94e20b","source":{"kind":"arxiv","id":"1412.7744","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7744","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7744v2","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7744","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"RSXGG7RFT3W2","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RSXGG7RFT3W2YZ4O","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RSXGG7RF","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RSXGG7RFT3W2YZ4OUCSEKH4254","target":"record","payload":{"canonical_record":{"source":{"id":"1412.7744","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-24T20:08:22Z","cross_cats_sorted":[],"title_canon_sha256":"fde03862d40c7071c65585a267ae0d66a6a5469ff11846d3035e8dbcfb57ddf5","abstract_canon_sha256":"0612143d591b5335bcef42565990bfeb8332c8ab349a9893ab7b724375120526"},"schema_version":"1.0"},"canonical_sha256":"8cae637e259eedac678ea0a4451f9aef1cdb53fbc51238d84d6de36c0e94e20b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:25.913192Z","signature_b64":"rnc9okKiW+CN3dqTia6dw7uDdEdjRo4kmCgFh6+Q91pnbDnl+A/QSE6r8RflAUeH2cAWilNkjguf3gNgcaXtBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cae637e259eedac678ea0a4451f9aef1cdb53fbc51238d84d6de36c0e94e20b","last_reissued_at":"2026-05-18T01:17:25.912478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:25.912478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.7744","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":"2026-05-18T01:17:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rzaCQ7MuVKhxqT8RQ9ImrrmK0eSM9YL87vgmbcdgXTnzsMX8LiqjulpC+fBKLmFYaBUsVP/O27QdgGsmWwyVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:43:02.318219Z"},"content_sha256":"c5c061fd7ff81635d77126d51729d32210232750d3c758e0cde7114874099091","schema_version":"1.0","event_id":"sha256:c5c061fd7ff81635d77126d51729d32210232750d3c758e0cde7114874099091"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RSXGG7RFT3W2YZ4OUCSEKH4254","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A brief introduction to Enriques surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Igor V. Dolgachev","submitted_at":"2014-12-24T20:08:22Z","abstract_excerpt":"This is a brief introduction to the theory of Enriques surfaces over arbitrary algebraically closed fields. Some new results about automorphism groups of Enriques surfaces are also included."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7744","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":"2026-05-18T01:17:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gpACrSP3yC/UzUE2/mPuRGDJRxybumKx7bR3pjPvSrJHVB/6YEv8DQZJncKB2QKGYOzmnjdchIBSdhG5vv5mBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:43:02.318572Z"},"content_sha256":"63362f7da84575554e0a8960898e8c509c95362bf8554bd751bacf402007abdf","schema_version":"1.0","event_id":"sha256:63362f7da84575554e0a8960898e8c509c95362bf8554bd751bacf402007abdf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSXGG7RFT3W2YZ4OUCSEKH4254/bundle.json","state_url":"https://pith.science/pith/RSXGG7RFT3W2YZ4OUCSEKH4254/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSXGG7RFT3W2YZ4OUCSEKH4254/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":"2026-05-28T09:43:02Z","links":{"resolver":"https://pith.science/pith/RSXGG7RFT3W2YZ4OUCSEKH4254","bundle":"https://pith.science/pith/RSXGG7RFT3W2YZ4OUCSEKH4254/bundle.json","state":"https://pith.science/pith/RSXGG7RFT3W2YZ4OUCSEKH4254/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSXGG7RFT3W2YZ4OUCSEKH4254/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RSXGG7RFT3W2YZ4OUCSEKH4254","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":"0612143d591b5335bcef42565990bfeb8332c8ab349a9893ab7b724375120526","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-24T20:08:22Z","title_canon_sha256":"fde03862d40c7071c65585a267ae0d66a6a5469ff11846d3035e8dbcfb57ddf5"},"schema_version":"1.0","source":{"id":"1412.7744","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7744","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7744v2","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7744","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"RSXGG7RFT3W2","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RSXGG7RFT3W2YZ4O","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RSXGG7RF","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:63362f7da84575554e0a8960898e8c509c95362bf8554bd751bacf402007abdf","target":"graph","created_at":"2026-05-18T01:17:25Z","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":"This is a brief introduction to the theory of Enriques surfaces over arbitrary algebraically closed fields. Some new results about automorphism groups of Enriques surfaces are also included.","authors_text":"Igor V. Dolgachev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-24T20:08:22Z","title":"A brief introduction to Enriques surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7744","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:c5c061fd7ff81635d77126d51729d32210232750d3c758e0cde7114874099091","target":"record","created_at":"2026-05-18T01:17:25Z","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":"0612143d591b5335bcef42565990bfeb8332c8ab349a9893ab7b724375120526","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-24T20:08:22Z","title_canon_sha256":"fde03862d40c7071c65585a267ae0d66a6a5469ff11846d3035e8dbcfb57ddf5"},"schema_version":"1.0","source":{"id":"1412.7744","kind":"arxiv","version":2}},"canonical_sha256":"8cae637e259eedac678ea0a4451f9aef1cdb53fbc51238d84d6de36c0e94e20b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cae637e259eedac678ea0a4451f9aef1cdb53fbc51238d84d6de36c0e94e20b","first_computed_at":"2026-05-18T01:17:25.912478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:25.912478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rnc9okKiW+CN3dqTia6dw7uDdEdjRo4kmCgFh6+Q91pnbDnl+A/QSE6r8RflAUeH2cAWilNkjguf3gNgcaXtBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:25.913192Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7744","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5c061fd7ff81635d77126d51729d32210232750d3c758e0cde7114874099091","sha256:63362f7da84575554e0a8960898e8c509c95362bf8554bd751bacf402007abdf"],"state_sha256":"c062b700be8a6172eb1fdd4daa4d67cfcb680b13176ae7f908d3f9e68b4644d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m52SbTcJZTFsejQPtQEcFez4AQ11N8mlycs24wmQSwzQheGpioY9pi3QRRWoZAsV2qtf2PF7AlGZWHvg5fD8Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T09:43:02.320621Z","bundle_sha256":"d42d866ceedbf6a41f3b046b35d61f15755675131abd5ea5f08237ddddefeed1"}}