{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:PTND4F6CUUELLEH2RGGMU53X5B","short_pith_number":"pith:PTND4F6C","canonical_record":{"source":{"id":"1311.5839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-22T18:37:24Z","cross_cats_sorted":[],"title_canon_sha256":"56e2f5ce61e111e54bf00341f810493e3db6013f17d4be959e540f4ffdb53144","abstract_canon_sha256":"a154e45e1ca1a7eef0624086c2310177a717cf74a49e62818ec7b0f99f2cd43b"},"schema_version":"1.0"},"canonical_sha256":"7cda3e17c2a508b590fa898cca7777e848e35889a3e28b8aa177a65d221c5ee5","source":{"kind":"arxiv","id":"1311.5839","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5839","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5839v2","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5839","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"PTND4F6CUUEL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PTND4F6CUUELLEH2","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PTND4F6C","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:PTND4F6CUUELLEH2RGGMU53X5B","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-22T18:37:24Z","cross_cats_sorted":[],"title_canon_sha256":"56e2f5ce61e111e54bf00341f810493e3db6013f17d4be959e540f4ffdb53144","abstract_canon_sha256":"a154e45e1ca1a7eef0624086c2310177a717cf74a49e62818ec7b0f99f2cd43b"},"schema_version":"1.0"},"canonical_sha256":"7cda3e17c2a508b590fa898cca7777e848e35889a3e28b8aa177a65d221c5ee5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:48.488358Z","signature_b64":"3YJ1FaePjTEzM2jA7lMcgSsj7Am01ThvCpGUbY5WA9jng/abUt7CrtsCFDwWrTyJkDjSct4SylV9ScLboysiCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cda3e17c2a508b590fa898cca7777e848e35889a3e28b8aa177a65d221c5ee5","last_reissued_at":"2026-05-18T02:51:48.487959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:48.487959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5839","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":"2026-05-18T02:51:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pwJQCbivTmrEh5XJ0qUuIWXXLEIHAdtkcj2+glp9/bQCghwqsKiVRIL4cyR68y0tAnnH2+n9VbQFM4EUckbgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T14:22:47.388460Z"},"content_sha256":"ff202f38ddbecbb4c8f8967ef3c47e16118b375c760da611ae661ff04d1d784a","schema_version":"1.0","event_id":"sha256:ff202f38ddbecbb4c8f8967ef3c47e16118b375c760da611ae661ff04d1d784a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:PTND4F6CUUELLEH2RGGMU53X5B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exceptional sequences of maximal length on some surfaces isogenous to a higher product","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kyoung-Seog Lee","submitted_at":"2013-11-22T18:37:24Z","abstract_excerpt":"Let $S=(C \\times D)/G$ be a surface isogenous to a higher product of unmixed type with $p_g=q=0$, $G=(\\mathbb{Z}/2)^3$ or $(\\mathbb{Z}/2)^4$. We construct exceptional sequences of maximal length and quasiphantom categories on $S$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5839","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":"2026-05-18T02:51:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7uBGB7GftTN8rJaY6qh+am8256oUaPr6DElinKm1LcYDgXz6kz5SzG/pRwmuBrnZhkO/FWMWwndkdMgxHDCeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T14:22:47.389077Z"},"content_sha256":"1705db48ee78451703171105871b0150ec7eada9ef4c7e299561704c66a43c51","schema_version":"1.0","event_id":"sha256:1705db48ee78451703171105871b0150ec7eada9ef4c7e299561704c66a43c51"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PTND4F6CUUELLEH2RGGMU53X5B/bundle.json","state_url":"https://pith.science/pith/PTND4F6CUUELLEH2RGGMU53X5B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PTND4F6CUUELLEH2RGGMU53X5B/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":"2026-06-04T14:22:47Z","links":{"resolver":"https://pith.science/pith/PTND4F6CUUELLEH2RGGMU53X5B","bundle":"https://pith.science/pith/PTND4F6CUUELLEH2RGGMU53X5B/bundle.json","state":"https://pith.science/pith/PTND4F6CUUELLEH2RGGMU53X5B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PTND4F6CUUELLEH2RGGMU53X5B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PTND4F6CUUELLEH2RGGMU53X5B","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":"a154e45e1ca1a7eef0624086c2310177a717cf74a49e62818ec7b0f99f2cd43b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-22T18:37:24Z","title_canon_sha256":"56e2f5ce61e111e54bf00341f810493e3db6013f17d4be959e540f4ffdb53144"},"schema_version":"1.0","source":{"id":"1311.5839","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5839","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5839v2","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5839","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"PTND4F6CUUEL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PTND4F6CUUELLEH2","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PTND4F6C","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:1705db48ee78451703171105871b0150ec7eada9ef4c7e299561704c66a43c51","target":"graph","created_at":"2026-05-18T02:51:48Z","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":"Let $S=(C \\times D)/G$ be a surface isogenous to a higher product of unmixed type with $p_g=q=0$, $G=(\\mathbb{Z}/2)^3$ or $(\\mathbb{Z}/2)^4$. We construct exceptional sequences of maximal length and quasiphantom categories on $S$.","authors_text":"Kyoung-Seog Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-22T18:37:24Z","title":"Exceptional sequences of maximal length on some surfaces isogenous to a higher product"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5839","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:ff202f38ddbecbb4c8f8967ef3c47e16118b375c760da611ae661ff04d1d784a","target":"record","created_at":"2026-05-18T02:51:48Z","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":"a154e45e1ca1a7eef0624086c2310177a717cf74a49e62818ec7b0f99f2cd43b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-22T18:37:24Z","title_canon_sha256":"56e2f5ce61e111e54bf00341f810493e3db6013f17d4be959e540f4ffdb53144"},"schema_version":"1.0","source":{"id":"1311.5839","kind":"arxiv","version":2}},"canonical_sha256":"7cda3e17c2a508b590fa898cca7777e848e35889a3e28b8aa177a65d221c5ee5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cda3e17c2a508b590fa898cca7777e848e35889a3e28b8aa177a65d221c5ee5","first_computed_at":"2026-05-18T02:51:48.487959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:48.487959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3YJ1FaePjTEzM2jA7lMcgSsj7Am01ThvCpGUbY5WA9jng/abUt7CrtsCFDwWrTyJkDjSct4SylV9ScLboysiCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:48.488358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5839","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff202f38ddbecbb4c8f8967ef3c47e16118b375c760da611ae661ff04d1d784a","sha256:1705db48ee78451703171105871b0150ec7eada9ef4c7e299561704c66a43c51"],"state_sha256":"6d32c9ac31d88071138b2c050f039fc0e4ca4771b90cc3a7b70bfc289890e471"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VFJpbO4QzrdvN+7wD5BHbjslJlNhbsZHqUw7D6y0NqV/WsR3axaPD61UfLGqg6HqiHTZDx+UgDok7vlyLh1eCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T14:22:47.392353Z","bundle_sha256":"ffe58ec1dd615e3d59f1b9bba1e537788ccf9de2f21dbc2a1c242d9fc4a40cb8"}}