{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3NXXEF57UMRSVDJPCOWANIAQZ2","short_pith_number":"pith:3NXXEF57","canonical_record":{"source":{"id":"1512.04684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-15T09:07:21Z","cross_cats_sorted":["astro-ph.CO","hep-ph"],"title_canon_sha256":"6e846be46a5f5e9c980fa11bc393617ca648bc653bd4f48a2706621b546bae89","abstract_canon_sha256":"5d40dc7eb8b951521d5a5b2f4d6c9f0064eb1de245a4293c42a7e7233cb276ff"},"schema_version":"1.0"},"canonical_sha256":"db6f7217bfa3232a8d2f13ac06a010ceb7cb07a92a7cc0119ab7e7ed88f65c28","source":{"kind":"arxiv","id":"1512.04684","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04684","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04684v2","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04684","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"pith_short_12","alias_value":"3NXXEF57UMRS","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3NXXEF57UMRSVDJP","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3NXXEF57","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3NXXEF57UMRSVDJPCOWANIAQZ2","target":"record","payload":{"canonical_record":{"source":{"id":"1512.04684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-15T09:07:21Z","cross_cats_sorted":["astro-ph.CO","hep-ph"],"title_canon_sha256":"6e846be46a5f5e9c980fa11bc393617ca648bc653bd4f48a2706621b546bae89","abstract_canon_sha256":"5d40dc7eb8b951521d5a5b2f4d6c9f0064eb1de245a4293c42a7e7233cb276ff"},"schema_version":"1.0"},"canonical_sha256":"db6f7217bfa3232a8d2f13ac06a010ceb7cb07a92a7cc0119ab7e7ed88f65c28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:21.605549Z","signature_b64":"wqaqqkOjKlgUvWjJp/9LUuZLNbFix5TdDE6eHs4jDJb4U2MQQq1k43V3n5/RjxTI/b+Yd7MS5asRaoH2MJvVBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db6f7217bfa3232a8d2f13ac06a010ceb7cb07a92a7cc0119ab7e7ed88f65c28","last_reissued_at":"2026-05-18T01:11:21.605095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:21.605095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.04684","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":"2026-05-18T01:11:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QoifSKrBjZqgnFpFOdRnYULCDUgE80nJeYz4Z+EElnKiA8xyivTRDrCA8LANgbrUS42O+uASojkep3D+9oOvBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:37:24.042186Z"},"content_sha256":"c3e684079346b945b67973ed89d804cd2bd00ce3f4083d1ea14051747aea3e48","schema_version":"1.0","event_id":"sha256:c3e684079346b945b67973ed89d804cd2bd00ce3f4083d1ea14051747aea3e48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3NXXEF57UMRSVDJPCOWANIAQZ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Excursions through KK modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph"],"primary_cat":"hep-th","authors_text":"Kazuyuki Furuuchi","submitted_at":"2015-12-15T09:07:21Z","abstract_excerpt":"In this article we study Kaluza-Klein (KK) dimensional reduction of massive Abelian gauge theories with charged matter fields on a circle. Since local gauge transformations change position dependence of the charged fields, the decomposition of the charged matter fields into KK modes is gauge dependent. While whole KK mass spectrum is independent of the gauge choice, the mode number depends on the gauge. The masses of the KK modes also depend on the field value of the zero-mode of the extra dimensional component of the gauge field. In particular, one of the KK modes in the KK tower of each mass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04684","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":"2026-05-18T01:11:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9H/Mlc5Wgg9Sk9TsRcxcgV5DBSRp21y98jy9huHYz6005zBdDsw8cJg/JGE51Pyj1BE5D6NQA1kvPrsIR6HgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:37:24.042565Z"},"content_sha256":"3f2e7c734a0b4ea8259aae8af7070bfa9d01826dd35aa9be54ec3399cb8b3552","schema_version":"1.0","event_id":"sha256:3f2e7c734a0b4ea8259aae8af7070bfa9d01826dd35aa9be54ec3399cb8b3552"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3NXXEF57UMRSVDJPCOWANIAQZ2/bundle.json","state_url":"https://pith.science/pith/3NXXEF57UMRSVDJPCOWANIAQZ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3NXXEF57UMRSVDJPCOWANIAQZ2/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":"2026-06-09T16:37:24Z","links":{"resolver":"https://pith.science/pith/3NXXEF57UMRSVDJPCOWANIAQZ2","bundle":"https://pith.science/pith/3NXXEF57UMRSVDJPCOWANIAQZ2/bundle.json","state":"https://pith.science/pith/3NXXEF57UMRSVDJPCOWANIAQZ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3NXXEF57UMRSVDJPCOWANIAQZ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3NXXEF57UMRSVDJPCOWANIAQZ2","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":"5d40dc7eb8b951521d5a5b2f4d6c9f0064eb1de245a4293c42a7e7233cb276ff","cross_cats_sorted":["astro-ph.CO","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-15T09:07:21Z","title_canon_sha256":"6e846be46a5f5e9c980fa11bc393617ca648bc653bd4f48a2706621b546bae89"},"schema_version":"1.0","source":{"id":"1512.04684","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04684","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04684v2","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04684","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"pith_short_12","alias_value":"3NXXEF57UMRS","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3NXXEF57UMRSVDJP","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3NXXEF57","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:3f2e7c734a0b4ea8259aae8af7070bfa9d01826dd35aa9be54ec3399cb8b3552","target":"graph","created_at":"2026-05-18T01:11:21Z","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":"In this article we study Kaluza-Klein (KK) dimensional reduction of massive Abelian gauge theories with charged matter fields on a circle. Since local gauge transformations change position dependence of the charged fields, the decomposition of the charged matter fields into KK modes is gauge dependent. While whole KK mass spectrum is independent of the gauge choice, the mode number depends on the gauge. The masses of the KK modes also depend on the field value of the zero-mode of the extra dimensional component of the gauge field. In particular, one of the KK modes in the KK tower of each mass","authors_text":"Kazuyuki Furuuchi","cross_cats":["astro-ph.CO","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-15T09:07:21Z","title":"Excursions through KK modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04684","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:c3e684079346b945b67973ed89d804cd2bd00ce3f4083d1ea14051747aea3e48","target":"record","created_at":"2026-05-18T01:11:21Z","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":"5d40dc7eb8b951521d5a5b2f4d6c9f0064eb1de245a4293c42a7e7233cb276ff","cross_cats_sorted":["astro-ph.CO","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-15T09:07:21Z","title_canon_sha256":"6e846be46a5f5e9c980fa11bc393617ca648bc653bd4f48a2706621b546bae89"},"schema_version":"1.0","source":{"id":"1512.04684","kind":"arxiv","version":2}},"canonical_sha256":"db6f7217bfa3232a8d2f13ac06a010ceb7cb07a92a7cc0119ab7e7ed88f65c28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db6f7217bfa3232a8d2f13ac06a010ceb7cb07a92a7cc0119ab7e7ed88f65c28","first_computed_at":"2026-05-18T01:11:21.605095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:21.605095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wqaqqkOjKlgUvWjJp/9LUuZLNbFix5TdDE6eHs4jDJb4U2MQQq1k43V3n5/RjxTI/b+Yd7MS5asRaoH2MJvVBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:21.605549Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.04684","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3e684079346b945b67973ed89d804cd2bd00ce3f4083d1ea14051747aea3e48","sha256:3f2e7c734a0b4ea8259aae8af7070bfa9d01826dd35aa9be54ec3399cb8b3552"],"state_sha256":"c478563919eed3ed9a610243bb0fc0657b0daecf6b40488747e3769c6ccc496b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1I3muId+ZJ0sm23VdhaI1NlNV4qdBrMnLioR5K/EcJSpfHrrdIcvRHl5sdFXSURETzfYO00CxReo0E1sI7mUAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T16:37:24.044552Z","bundle_sha256":"c6be0cf52ce7cfdb777576301991bdeba6b886c049f53831576a158b8497d81f"}}