{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IY3GYGT3KGUA4PUEMDEOPYKSLB","short_pith_number":"pith:IY3GYGT3","canonical_record":{"source":{"id":"1407.8415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-07-31T13:55:54Z","cross_cats_sorted":[],"title_canon_sha256":"96e708070249ed1e216f61a0fac49f6d4ccb1b78d2b7216ac3c0d475929271f2","abstract_canon_sha256":"f011d31ee18d1d21846d270535504464374fd430d8f184c6ca4a9123bb55fa8c"},"schema_version":"1.0"},"canonical_sha256":"46366c1a7b51a80e3e8460c8e7e1525877c621a5ce9475ebca2c57869f1aeb87","source":{"kind":"arxiv","id":"1407.8415","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.8415","created_at":"2026-05-18T02:46:05Z"},{"alias_kind":"arxiv_version","alias_value":"1407.8415v1","created_at":"2026-05-18T02:46:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8415","created_at":"2026-05-18T02:46:05Z"},{"alias_kind":"pith_short_12","alias_value":"IY3GYGT3KGUA","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IY3GYGT3KGUA4PUE","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IY3GYGT3","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IY3GYGT3KGUA4PUEMDEOPYKSLB","target":"record","payload":{"canonical_record":{"source":{"id":"1407.8415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-07-31T13:55:54Z","cross_cats_sorted":[],"title_canon_sha256":"96e708070249ed1e216f61a0fac49f6d4ccb1b78d2b7216ac3c0d475929271f2","abstract_canon_sha256":"f011d31ee18d1d21846d270535504464374fd430d8f184c6ca4a9123bb55fa8c"},"schema_version":"1.0"},"canonical_sha256":"46366c1a7b51a80e3e8460c8e7e1525877c621a5ce9475ebca2c57869f1aeb87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:05.164269Z","signature_b64":"mkLfB4vE1Kc4Qk4IOvVGL8ArkILnr/+INc2xpbfOYDwaDbKx6J9tNycX/Rfzh3cLVYquyk1u5EHGsdY3S+hXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46366c1a7b51a80e3e8460c8e7e1525877c621a5ce9475ebca2c57869f1aeb87","last_reissued_at":"2026-05-18T02:46:05.163704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:05.163704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.8415","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":"2026-05-18T02:46:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9E5tWAbjH37o/cjCTQi5IyGTC2sJjBnsQo2GvMzodlQtU8QMtfHosHOtdNh0iaNVWbMxxwlzGOrR2gt/iwWzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:31:58.433777Z"},"content_sha256":"007a3fef0de1e9deef2bd03a23c1d6cfda2e15c6bbd263bdd70c6ac2bfee4a22","schema_version":"1.0","event_id":"sha256:007a3fef0de1e9deef2bd03a23c1d6cfda2e15c6bbd263bdd70c6ac2bfee4a22"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IY3GYGT3KGUA4PUEMDEOPYKSLB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pseudo-ovals in even characteristic and ovoidal Laguerre planes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Geertrui Van de Voorde, Sara Rottey","submitted_at":"2014-07-31T13:55:54Z","abstract_excerpt":"Pseudo-arcs are the higher dimensional analogues of arcs in a projective plane: a pseudo-arc is a set $\\mathcal{A}$ of $(n-1)$-spaces in $\\mathrm{PG}(3n-1,q)$ such that any three span the whole space. Pseudo-arcs of size $q^n+1$ are called pseudo-ovals, while pseudo-arcs of size $q^n+2$ are called pseudo-hyperovals. A pseudo-arc is called elementary if it arises from applying field reduction to an arc in $\\mathrm{PG}(2,q^n)$.\n  We explain the connection between dual pseudo-ovals and elation Laguerre planes and show that an elation Laguerre plane is ovoidal if and only if it arises from an elem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8415","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":"2026-05-18T02:46:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VG4vtwUJRcuGkP7qPcV9L0mEAZdmhqRdLCuRLsOPLsHLC6f4DjQG1RbebVZdlYL+CmJ3BLxIidhJ1gTwE5fOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:31:58.434715Z"},"content_sha256":"315d680cdf727e256d8291675e4ad2bb1965f7d4911cd8945df89690ce1edd76","schema_version":"1.0","event_id":"sha256:315d680cdf727e256d8291675e4ad2bb1965f7d4911cd8945df89690ce1edd76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IY3GYGT3KGUA4PUEMDEOPYKSLB/bundle.json","state_url":"https://pith.science/pith/IY3GYGT3KGUA4PUEMDEOPYKSLB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IY3GYGT3KGUA4PUEMDEOPYKSLB/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":"2026-06-11T08:31:58Z","links":{"resolver":"https://pith.science/pith/IY3GYGT3KGUA4PUEMDEOPYKSLB","bundle":"https://pith.science/pith/IY3GYGT3KGUA4PUEMDEOPYKSLB/bundle.json","state":"https://pith.science/pith/IY3GYGT3KGUA4PUEMDEOPYKSLB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IY3GYGT3KGUA4PUEMDEOPYKSLB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IY3GYGT3KGUA4PUEMDEOPYKSLB","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":"f011d31ee18d1d21846d270535504464374fd430d8f184c6ca4a9123bb55fa8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-07-31T13:55:54Z","title_canon_sha256":"96e708070249ed1e216f61a0fac49f6d4ccb1b78d2b7216ac3c0d475929271f2"},"schema_version":"1.0","source":{"id":"1407.8415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.8415","created_at":"2026-05-18T02:46:05Z"},{"alias_kind":"arxiv_version","alias_value":"1407.8415v1","created_at":"2026-05-18T02:46:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8415","created_at":"2026-05-18T02:46:05Z"},{"alias_kind":"pith_short_12","alias_value":"IY3GYGT3KGUA","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IY3GYGT3KGUA4PUE","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IY3GYGT3","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:315d680cdf727e256d8291675e4ad2bb1965f7d4911cd8945df89690ce1edd76","target":"graph","created_at":"2026-05-18T02:46:05Z","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":"Pseudo-arcs are the higher dimensional analogues of arcs in a projective plane: a pseudo-arc is a set $\\mathcal{A}$ of $(n-1)$-spaces in $\\mathrm{PG}(3n-1,q)$ such that any three span the whole space. Pseudo-arcs of size $q^n+1$ are called pseudo-ovals, while pseudo-arcs of size $q^n+2$ are called pseudo-hyperovals. A pseudo-arc is called elementary if it arises from applying field reduction to an arc in $\\mathrm{PG}(2,q^n)$.\n  We explain the connection between dual pseudo-ovals and elation Laguerre planes and show that an elation Laguerre plane is ovoidal if and only if it arises from an elem","authors_text":"Geertrui Van de Voorde, Sara Rottey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-07-31T13:55:54Z","title":"Pseudo-ovals in even characteristic and ovoidal Laguerre planes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8415","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":"sha256:007a3fef0de1e9deef2bd03a23c1d6cfda2e15c6bbd263bdd70c6ac2bfee4a22","target":"record","created_at":"2026-05-18T02:46:05Z","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":"f011d31ee18d1d21846d270535504464374fd430d8f184c6ca4a9123bb55fa8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-07-31T13:55:54Z","title_canon_sha256":"96e708070249ed1e216f61a0fac49f6d4ccb1b78d2b7216ac3c0d475929271f2"},"schema_version":"1.0","source":{"id":"1407.8415","kind":"arxiv","version":1}},"canonical_sha256":"46366c1a7b51a80e3e8460c8e7e1525877c621a5ce9475ebca2c57869f1aeb87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46366c1a7b51a80e3e8460c8e7e1525877c621a5ce9475ebca2c57869f1aeb87","first_computed_at":"2026-05-18T02:46:05.163704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:05.163704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mkLfB4vE1Kc4Qk4IOvVGL8ArkILnr/+INc2xpbfOYDwaDbKx6J9tNycX/Rfzh3cLVYquyk1u5EHGsdY3S+hXBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:05.164269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.8415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:007a3fef0de1e9deef2bd03a23c1d6cfda2e15c6bbd263bdd70c6ac2bfee4a22","sha256:315d680cdf727e256d8291675e4ad2bb1965f7d4911cd8945df89690ce1edd76"],"state_sha256":"32cbb1a2b66cbf15d16d26117a8de8e15d87658d8fe30d336db5f714eea54268"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4JTdiU8CH+ZSYdXvJU0SSby7YXcZjnqqqIhgNPbBoBWd2ru+ye0vV1xxd5IJfoXeXeCLYgrxs9Y2PAeRgLZaDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T08:31:58.439984Z","bundle_sha256":"f8baf5e5297475df9b4e8e26fbbab1ed930abc7e0d9583dc4b6a9a271a598b5f"}}