{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:4BD4QQZWAPYPFTD7RDENVBBD3M","short_pith_number":"pith:4BD4QQZW","canonical_record":{"source":{"id":"hep-th/0204100","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-04-11T23:09:39Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"89ea8e5ef4d43b8adc1e871e4f960d5875872abd830f855fd7aa5b15b210f6a8","abstract_canon_sha256":"53f9ced068c448f090957796bd73514870a25c25e43ea803cb1776e8ea080563"},"schema_version":"1.0"},"canonical_sha256":"e047c8433603f0f2cc7f88c8da8423db1ff28fa3006139d20b070b976db3ea1a","source":{"kind":"arxiv","id":"hep-th/0204100","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0204100","created_at":"2026-05-18T02:36:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0204100v2","created_at":"2026-05-18T02:36:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0204100","created_at":"2026-05-18T02:36:10Z"},{"alias_kind":"pith_short_12","alias_value":"4BD4QQZWAPYP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"4BD4QQZWAPYPFTD7","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"4BD4QQZW","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:4BD4QQZWAPYPFTD7RDENVBBD3M","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0204100","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-04-11T23:09:39Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"89ea8e5ef4d43b8adc1e871e4f960d5875872abd830f855fd7aa5b15b210f6a8","abstract_canon_sha256":"53f9ced068c448f090957796bd73514870a25c25e43ea803cb1776e8ea080563"},"schema_version":"1.0"},"canonical_sha256":"e047c8433603f0f2cc7f88c8da8423db1ff28fa3006139d20b070b976db3ea1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:10.960499Z","signature_b64":"42knelE3aUmGWpbb31hKtyLUHf93WxJQ4Vohnk8073I5QvYBKaOcCXKZq1vbuw0sG0T9Oids9XvGyc1/TzlwDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e047c8433603f0f2cc7f88c8da8423db1ff28fa3006139d20b070b976db3ea1a","last_reissued_at":"2026-05-18T02:36:10.960063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:10.960063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0204100","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":"2026-05-18T02:36:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e5C6dk7Q1jHteR2h+X+5Csy4GpBEWY2j7rVaXG2FGp4YGDDzpqbiDNmgFw9g2E1H3yj8I63ec8LZCbo5+YBiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:42:23.982601Z"},"content_sha256":"6025ccf93dcf8f99bc832f5088a38a5b8fca8a2354d050d90de11e394e32729c","schema_version":"1.0","event_id":"sha256:6025ccf93dcf8f99bc832f5088a38a5b8fca8a2354d050d90de11e394e32729c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:4BD4QQZWAPYPFTD7RDENVBBD3M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modular Invariant Anomalous U(1) Breaking","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Joel Giedt, Mary K. Gaillard","submitted_at":"2002-04-11T23:09:39Z","abstract_excerpt":"We describe the effective supergravity theory present below the scale of spontaneous gauge symmetry breaking due to an anomalous U(1), obtained by integrating out tree-level interactions of massive modes. A simple case is examined in some detail. We find that the effective theory can be expressed in the linear multiplet formulation, with some interesting consequences. Among them, the modified linearity conditions lead to new interactions not present in the theory without an anomalous U(1). These additional interactions are compactly expressed through a superfield functional."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0204100","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":"2026-05-18T02:36:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2mxA8SM/NtmOfavvn+vgOvN6nJf0K4fAfdKypgvCNUj5E/XqIhbk0F6ZAsVMMiDpFVcmYTF30hPhM9jwWwHkCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:42:23.983297Z"},"content_sha256":"03dba7cefb497db7c75dfd81677113a95e1f3b6cd0f6b066a64a981eed01969a","schema_version":"1.0","event_id":"sha256:03dba7cefb497db7c75dfd81677113a95e1f3b6cd0f6b066a64a981eed01969a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4BD4QQZWAPYPFTD7RDENVBBD3M/bundle.json","state_url":"https://pith.science/pith/4BD4QQZWAPYPFTD7RDENVBBD3M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4BD4QQZWAPYPFTD7RDENVBBD3M/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":"2026-06-12T06:42:23Z","links":{"resolver":"https://pith.science/pith/4BD4QQZWAPYPFTD7RDENVBBD3M","bundle":"https://pith.science/pith/4BD4QQZWAPYPFTD7RDENVBBD3M/bundle.json","state":"https://pith.science/pith/4BD4QQZWAPYPFTD7RDENVBBD3M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4BD4QQZWAPYPFTD7RDENVBBD3M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:4BD4QQZWAPYPFTD7RDENVBBD3M","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":"53f9ced068c448f090957796bd73514870a25c25e43ea803cb1776e8ea080563","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2002-04-11T23:09:39Z","title_canon_sha256":"89ea8e5ef4d43b8adc1e871e4f960d5875872abd830f855fd7aa5b15b210f6a8"},"schema_version":"1.0","source":{"id":"hep-th/0204100","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0204100","created_at":"2026-05-18T02:36:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0204100v2","created_at":"2026-05-18T02:36:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0204100","created_at":"2026-05-18T02:36:10Z"},{"alias_kind":"pith_short_12","alias_value":"4BD4QQZWAPYP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"4BD4QQZWAPYPFTD7","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"4BD4QQZW","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:03dba7cefb497db7c75dfd81677113a95e1f3b6cd0f6b066a64a981eed01969a","target":"graph","created_at":"2026-05-18T02:36:10Z","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 describe the effective supergravity theory present below the scale of spontaneous gauge symmetry breaking due to an anomalous U(1), obtained by integrating out tree-level interactions of massive modes. A simple case is examined in some detail. We find that the effective theory can be expressed in the linear multiplet formulation, with some interesting consequences. Among them, the modified linearity conditions lead to new interactions not present in the theory without an anomalous U(1). These additional interactions are compactly expressed through a superfield functional.","authors_text":"Joel Giedt, Mary K. Gaillard","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-04-11T23:09:39Z","title":"Modular Invariant Anomalous U(1) Breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0204100","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":"sha256:6025ccf93dcf8f99bc832f5088a38a5b8fca8a2354d050d90de11e394e32729c","target":"record","created_at":"2026-05-18T02:36:10Z","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":"53f9ced068c448f090957796bd73514870a25c25e43ea803cb1776e8ea080563","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2002-04-11T23:09:39Z","title_canon_sha256":"89ea8e5ef4d43b8adc1e871e4f960d5875872abd830f855fd7aa5b15b210f6a8"},"schema_version":"1.0","source":{"id":"hep-th/0204100","kind":"arxiv","version":2}},"canonical_sha256":"e047c8433603f0f2cc7f88c8da8423db1ff28fa3006139d20b070b976db3ea1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e047c8433603f0f2cc7f88c8da8423db1ff28fa3006139d20b070b976db3ea1a","first_computed_at":"2026-05-18T02:36:10.960063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:10.960063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"42knelE3aUmGWpbb31hKtyLUHf93WxJQ4Vohnk8073I5QvYBKaOcCXKZq1vbuw0sG0T9Oids9XvGyc1/TzlwDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:10.960499Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0204100","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6025ccf93dcf8f99bc832f5088a38a5b8fca8a2354d050d90de11e394e32729c","sha256:03dba7cefb497db7c75dfd81677113a95e1f3b6cd0f6b066a64a981eed01969a"],"state_sha256":"f597525f8ed576db58e5c3c411ca057b60bbf6ba470c0b0f70c1421eff3166c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4r5ZoI466P6c4dESSJCjWfoCn/ouokqtbFvyXcMllS5Qv+WoJehGIOAvKu7KLdi6aIhrJF/60Y/x2tnf3bofBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T06:42:23.988813Z","bundle_sha256":"af07361b018357610406c9336926a41bc760ab79668ec51ccbd991c995495628"}}