{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:4QSCX54EZZ2PROFTK3CQ5EQKUX","short_pith_number":"pith:4QSCX54E","canonical_record":{"source":{"id":"1504.07689","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-29T00:46:11Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f2f665ca8747a05a11d55fa1ad1f6622763fb71c0bd42932080d5407ee3b7c08","abstract_canon_sha256":"ff7eb67f5eb31c811a94e6d2950976a9ac6507910b52f22d145489387a6810b2"},"schema_version":"1.0"},"canonical_sha256":"e4242bf784ce74f8b8b356c50e920aa5f82969f0bba2b5fd0d2233c9ad6f90d9","source":{"kind":"arxiv","id":"1504.07689","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07689","created_at":"2026-05-18T00:49:08Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07689v4","created_at":"2026-05-18T00:49:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07689","created_at":"2026-05-18T00:49:08Z"},{"alias_kind":"pith_short_12","alias_value":"4QSCX54EZZ2P","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4QSCX54EZZ2PROFT","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4QSCX54E","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:4QSCX54EZZ2PROFTK3CQ5EQKUX","target":"record","payload":{"canonical_record":{"source":{"id":"1504.07689","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-29T00:46:11Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f2f665ca8747a05a11d55fa1ad1f6622763fb71c0bd42932080d5407ee3b7c08","abstract_canon_sha256":"ff7eb67f5eb31c811a94e6d2950976a9ac6507910b52f22d145489387a6810b2"},"schema_version":"1.0"},"canonical_sha256":"e4242bf784ce74f8b8b356c50e920aa5f82969f0bba2b5fd0d2233c9ad6f90d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:08.724369Z","signature_b64":"8xmely/CwKsRqbDUl9rZq0y08hsx9bV0tudaaesB4gzd/znpj0FcyWuPQ/cUgJ9VTvkn+UZLEv2c/oNhVU6JCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4242bf784ce74f8b8b356c50e920aa5f82969f0bba2b5fd0d2233c9ad6f90d9","last_reissued_at":"2026-05-18T00:49:08.723812Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:08.723812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.07689","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:49:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tq8J2X1XeRqqbt9u/C9JCz8tslz4BySYM5Y21Ssyc1r3WAjaN3LkwLPsn7H68MsRzrLqeJmfaqapI9qCgQR0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:44:46.024156Z"},"content_sha256":"0393772060e8be36b31d9a94a86f0003b25a1a1c737ab1bbb6cddefc2145b790","schema_version":"1.0","event_id":"sha256:0393772060e8be36b31d9a94a86f0003b25a1a1c737ab1bbb6cddefc2145b790"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:4QSCX54EZZ2PROFTK3CQ5EQKUX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-toric bases for elliptic Calabi-Yau threefolds and 6D F-theory vacua","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Washington Taylor, Yi-Nan Wang","submitted_at":"2015-04-29T00:46:11Z","abstract_excerpt":"We develop a combinatorial approach to the construction of general smooth compact base surfaces that support elliptic Calabi-Yau threefolds. This extends previous analyses that have relied on toric or semi-toric structure. The resulting algorithm is used to construct all classes of such base surfaces $S$ with $h^{1, 1} (S) < 8$ and all base surfaces over which there is an elliptically fibered Calabi-Yau threefold $X$ with Hodge number $h^{2, 1} (X) \\geq 150$. These two sets can be used todescribe all 6D F-theory models that have fewer than seven tensor multiplets or more than 150 neutral scala"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07689","kind":"arxiv","version":4},"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":"2026-05-18T00:49:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30GWHV+BNDX+Grimx/8gNHu/taWEAE2/FM27afuf6qlSvPUgWXFI9VV7iSe9iaeWDFU1bV9Fi4FA2H+WLZ7WCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:44:46.024847Z"},"content_sha256":"d28c9201a5671fe1ffdb11d1b25b9dd77655e48916e373a3ca62d94928124e12","schema_version":"1.0","event_id":"sha256:d28c9201a5671fe1ffdb11d1b25b9dd77655e48916e373a3ca62d94928124e12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4QSCX54EZZ2PROFTK3CQ5EQKUX/bundle.json","state_url":"https://pith.science/pith/4QSCX54EZZ2PROFTK3CQ5EQKUX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4QSCX54EZZ2PROFTK3CQ5EQKUX/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":"2026-05-26T12:44:46Z","links":{"resolver":"https://pith.science/pith/4QSCX54EZZ2PROFTK3CQ5EQKUX","bundle":"https://pith.science/pith/4QSCX54EZZ2PROFTK3CQ5EQKUX/bundle.json","state":"https://pith.science/pith/4QSCX54EZZ2PROFTK3CQ5EQKUX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4QSCX54EZZ2PROFTK3CQ5EQKUX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4QSCX54EZZ2PROFTK3CQ5EQKUX","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":"ff7eb67f5eb31c811a94e6d2950976a9ac6507910b52f22d145489387a6810b2","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-29T00:46:11Z","title_canon_sha256":"f2f665ca8747a05a11d55fa1ad1f6622763fb71c0bd42932080d5407ee3b7c08"},"schema_version":"1.0","source":{"id":"1504.07689","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07689","created_at":"2026-05-18T00:49:08Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07689v4","created_at":"2026-05-18T00:49:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07689","created_at":"2026-05-18T00:49:08Z"},{"alias_kind":"pith_short_12","alias_value":"4QSCX54EZZ2P","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4QSCX54EZZ2PROFT","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4QSCX54E","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:d28c9201a5671fe1ffdb11d1b25b9dd77655e48916e373a3ca62d94928124e12","target":"graph","created_at":"2026-05-18T00:49:08Z","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 combinatorial approach to the construction of general smooth compact base surfaces that support elliptic Calabi-Yau threefolds. This extends previous analyses that have relied on toric or semi-toric structure. The resulting algorithm is used to construct all classes of such base surfaces $S$ with $h^{1, 1} (S) < 8$ and all base surfaces over which there is an elliptically fibered Calabi-Yau threefold $X$ with Hodge number $h^{2, 1} (X) \\geq 150$. These two sets can be used todescribe all 6D F-theory models that have fewer than seven tensor multiplets or more than 150 neutral scala","authors_text":"Washington Taylor, Yi-Nan Wang","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-29T00:46:11Z","title":"Non-toric bases for elliptic Calabi-Yau threefolds and 6D F-theory vacua"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07689","kind":"arxiv","version":4},"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":"sha256:0393772060e8be36b31d9a94a86f0003b25a1a1c737ab1bbb6cddefc2145b790","target":"record","created_at":"2026-05-18T00:49:08Z","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":"ff7eb67f5eb31c811a94e6d2950976a9ac6507910b52f22d145489387a6810b2","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-29T00:46:11Z","title_canon_sha256":"f2f665ca8747a05a11d55fa1ad1f6622763fb71c0bd42932080d5407ee3b7c08"},"schema_version":"1.0","source":{"id":"1504.07689","kind":"arxiv","version":4}},"canonical_sha256":"e4242bf784ce74f8b8b356c50e920aa5f82969f0bba2b5fd0d2233c9ad6f90d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4242bf784ce74f8b8b356c50e920aa5f82969f0bba2b5fd0d2233c9ad6f90d9","first_computed_at":"2026-05-18T00:49:08.723812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:08.723812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8xmely/CwKsRqbDUl9rZq0y08hsx9bV0tudaaesB4gzd/znpj0FcyWuPQ/cUgJ9VTvkn+UZLEv2c/oNhVU6JCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:08.724369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.07689","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0393772060e8be36b31d9a94a86f0003b25a1a1c737ab1bbb6cddefc2145b790","sha256:d28c9201a5671fe1ffdb11d1b25b9dd77655e48916e373a3ca62d94928124e12"],"state_sha256":"a0b8071f9954ad7f6ca42f00f11d169444ed388bca34b202aa3c36fc0ecc4e94"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7llhDzalXiYrPE3y5pse/6TQSwEjYQRhR8RR8L4M6nEuGN32AnISOsgF3AHm/FtxZ8X9HaRMze+VjEN5jcjjDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:44:46.027821Z","bundle_sha256":"813d37c9345d5bba8bd26b28d8daf1ed97443bd0cf3322f0f9a88197a11de1bf"}}