{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WIMX3CEGJR7NX7IYD5BTYODD5L","short_pith_number":"pith:WIMX3CEG","canonical_record":{"source":{"id":"1804.07322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-19T18:22:46Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"4f650be7034d54fbadb15338bd86f4c594cc6193adc3fb8ecdba8e52d5899184","abstract_canon_sha256":"3a0b25e8eb8977ef5fa590a5a635b034851456f09b89bb29ff4d87a86e78e641"},"schema_version":"1.0"},"canonical_sha256":"b2197d88864c7edbfd181f433c3863eadf84126f7aa13cdc3d0fac8767af5581","source":{"kind":"arxiv","id":"1804.07322","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07322","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07322v1","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07322","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"WIMX3CEGJR7N","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WIMX3CEGJR7NX7IY","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WIMX3CEG","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WIMX3CEGJR7NX7IYD5BTYODD5L","target":"record","payload":{"canonical_record":{"source":{"id":"1804.07322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-19T18:22:46Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"4f650be7034d54fbadb15338bd86f4c594cc6193adc3fb8ecdba8e52d5899184","abstract_canon_sha256":"3a0b25e8eb8977ef5fa590a5a635b034851456f09b89bb29ff4d87a86e78e641"},"schema_version":"1.0"},"canonical_sha256":"b2197d88864c7edbfd181f433c3863eadf84126f7aa13cdc3d0fac8767af5581","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:34.336515Z","signature_b64":"RA4KFdTq1TEi5i+RPfmc5dIyWgT0rSE21NQyP9LhtPY++8Je3h+hYwaRxNIRYtIkIgROdcm2X+kbbNlpjgf3Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2197d88864c7edbfd181f433c3863eadf84126f7aa13cdc3d0fac8767af5581","last_reissued_at":"2026-05-18T00:11:34.335868Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:34.335868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.07322","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":"2026-05-18T00:11:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mBZK3yeQ/dFBARdgcPkWn6cWiDSyZmpG5lxDsDp5P7UMka0nAulszdv5i62E9wr8+zTBwdsnbPg6wys6vR0hDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T21:43:28.648543Z"},"content_sha256":"eaafa906111f1bacdb6c7b5c4d414b202605700e722229d30afe8aa09e93433f","schema_version":"1.0","event_id":"sha256:eaafa906111f1bacdb6c7b5c4d414b202605700e722229d30afe8aa09e93433f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WIMX3CEGJR7NX7IYD5BTYODD5L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Note on 4D Heterotic String Vacua, FI-terms and the Swampland","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Gerardo Aldazabal, Luis E. Ib\\'a\\~nez","submitted_at":"2018-04-19T18:22:46Z","abstract_excerpt":"We present a conjecture for the massless sector of perturbative 4D $N=1$ heterotic $(0,2)$ string vacua, including $U(1)^n$ gauge symmetries,one of them possibly anomalous (like in standard heterotic compactifications). Mathematically it states that the positive hull generated by the charges of the massless chiral multiplets spans a sublattice of the full charge lattice. We have tested this conjecture in many heterotic $N=1$ compactifications in 4D. Our motivation for this conjecture is that it allows to understand a very old puzzle in $(0,2)$ $N=1$ heterotic compactification with an anomalous"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07322","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":"2026-05-18T00:11:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mLShepXtUrawFEXFsM8Z/brEdqz83+Iyu6TivY27MPHpCgvQ1GO1GuDkHsyGF9OeINDDLFALf5esuGynd6pyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T21:43:28.648922Z"},"content_sha256":"76ac04e56be60630a85cc77eb3393f5ff818083eb2af4ae294220386e4d17998","schema_version":"1.0","event_id":"sha256:76ac04e56be60630a85cc77eb3393f5ff818083eb2af4ae294220386e4d17998"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WIMX3CEGJR7NX7IYD5BTYODD5L/bundle.json","state_url":"https://pith.science/pith/WIMX3CEGJR7NX7IYD5BTYODD5L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WIMX3CEGJR7NX7IYD5BTYODD5L/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":"2026-05-21T21:43:28Z","links":{"resolver":"https://pith.science/pith/WIMX3CEGJR7NX7IYD5BTYODD5L","bundle":"https://pith.science/pith/WIMX3CEGJR7NX7IYD5BTYODD5L/bundle.json","state":"https://pith.science/pith/WIMX3CEGJR7NX7IYD5BTYODD5L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WIMX3CEGJR7NX7IYD5BTYODD5L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WIMX3CEGJR7NX7IYD5BTYODD5L","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":"3a0b25e8eb8977ef5fa590a5a635b034851456f09b89bb29ff4d87a86e78e641","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-19T18:22:46Z","title_canon_sha256":"4f650be7034d54fbadb15338bd86f4c594cc6193adc3fb8ecdba8e52d5899184"},"schema_version":"1.0","source":{"id":"1804.07322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07322","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07322v1","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07322","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"WIMX3CEGJR7N","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WIMX3CEGJR7NX7IY","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WIMX3CEG","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:76ac04e56be60630a85cc77eb3393f5ff818083eb2af4ae294220386e4d17998","target":"graph","created_at":"2026-05-18T00:11:34Z","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 present a conjecture for the massless sector of perturbative 4D $N=1$ heterotic $(0,2)$ string vacua, including $U(1)^n$ gauge symmetries,one of them possibly anomalous (like in standard heterotic compactifications). Mathematically it states that the positive hull generated by the charges of the massless chiral multiplets spans a sublattice of the full charge lattice. We have tested this conjecture in many heterotic $N=1$ compactifications in 4D. Our motivation for this conjecture is that it allows to understand a very old puzzle in $(0,2)$ $N=1$ heterotic compactification with an anomalous","authors_text":"Gerardo Aldazabal, Luis E. Ib\\'a\\~nez","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-19T18:22:46Z","title":"A Note on 4D Heterotic String Vacua, FI-terms and the Swampland"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07322","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:eaafa906111f1bacdb6c7b5c4d414b202605700e722229d30afe8aa09e93433f","target":"record","created_at":"2026-05-18T00:11:34Z","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":"3a0b25e8eb8977ef5fa590a5a635b034851456f09b89bb29ff4d87a86e78e641","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-19T18:22:46Z","title_canon_sha256":"4f650be7034d54fbadb15338bd86f4c594cc6193adc3fb8ecdba8e52d5899184"},"schema_version":"1.0","source":{"id":"1804.07322","kind":"arxiv","version":1}},"canonical_sha256":"b2197d88864c7edbfd181f433c3863eadf84126f7aa13cdc3d0fac8767af5581","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2197d88864c7edbfd181f433c3863eadf84126f7aa13cdc3d0fac8767af5581","first_computed_at":"2026-05-18T00:11:34.335868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:34.335868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RA4KFdTq1TEi5i+RPfmc5dIyWgT0rSE21NQyP9LhtPY++8Je3h+hYwaRxNIRYtIkIgROdcm2X+kbbNlpjgf3Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:34.336515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.07322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eaafa906111f1bacdb6c7b5c4d414b202605700e722229d30afe8aa09e93433f","sha256:76ac04e56be60630a85cc77eb3393f5ff818083eb2af4ae294220386e4d17998"],"state_sha256":"cedc2b9a15d0070f0cc8509c2fa5057098ed1169dab762d4cf621df9d10326ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rZSKHTzzLhk5M3qTkPGo2gliaCF+42/NPSYED3Ty2quo5aWmIFpOwroNQGc/E4mCTyQ7vvgrdvOvyTCgx0W0CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T21:43:28.651263Z","bundle_sha256":"946ea8bc6d0cb33a75c40055a1a0a91fb53bea83fe312c8da5caf06d3d52b34c"}}