{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:KS2LG4EN4HP6F35RYJFMQWXPSJ","short_pith_number":"pith:KS2LG4EN","canonical_record":{"source":{"id":"hep-th/0104035","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-04-04T20:25:49Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"6c91772bc38c4c9116f7d97e45c32ef2e96c8f4b2f3ea84350d560d527374781","abstract_canon_sha256":"d2e8e644c42a4b1e51bbd31b45e340e3bca9e414ff61e2241e45f4b9f99983b2"},"schema_version":"1.0"},"canonical_sha256":"54b4b3708de1dfe2efb1c24ac85aef9263de0f040bb081cc409b6c398a104824","source":{"kind":"arxiv","id":"hep-th/0104035","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0104035","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0104035v2","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0104035","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"pith_short_12","alias_value":"KS2LG4EN4HP6","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KS2LG4EN4HP6F35R","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KS2LG4EN","created_at":"2026-07-04T16:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:KS2LG4EN4HP6F35RYJFMQWXPSJ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0104035","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-04-04T20:25:49Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"6c91772bc38c4c9116f7d97e45c32ef2e96c8f4b2f3ea84350d560d527374781","abstract_canon_sha256":"d2e8e644c42a4b1e51bbd31b45e340e3bca9e414ff61e2241e45f4b9f99983b2"},"schema_version":"1.0"},"canonical_sha256":"54b4b3708de1dfe2efb1c24ac85aef9263de0f040bb081cc409b6c398a104824","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:27:49.801754Z","signature_b64":"T0ZzcvsrVaaK1Rbmiokou3rGhsQPuY2ZZVns9kyEqG1IqjG/pE1UVxmXEuww0ylpNV61U2U/MSo8RNNm+A59Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54b4b3708de1dfe2efb1c24ac85aef9263de0f040bb081cc409b6c398a104824","last_reissued_at":"2026-07-04T16:27:49.801360Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:27:49.801360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0104035","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":"2026-07-04T16:27:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"47vlrrLKP5c8icCRWdoicDWOFDn6wOYxhWzGqWab9zaN9iXAlrK5T+lgE9W6L/KjlCf3YS/Iu+NddQj+HWWvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T08:58:23.164650Z"},"content_sha256":"8c82935c81af48de211fb0b841646fab121c5408c3b64316e37749899905562a","schema_version":"1.0","event_id":"sha256:8c82935c81af48de211fb0b841646fab121c5408c3b64316e37749899905562a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:KS2LG4EN4HP6F35RYJFMQWXPSJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes","license":"","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Christopher T. Hill, Jing Wang, Stefan Pokorski","submitted_at":"2001-04-04T20:25:49Z","abstract_excerpt":"We construct a manifestly gauge invariant Lagrangian in 3+1 dimensions for N Kaluza-Klein modes of an SU(m) gauge theory in the bulk. For example, if the bulk is 4+1, the effective theory is \\Pi_{i=1}^{N+1} SU(m)_i with N chiral (\\bar{m},m) fields connecting the groups sequentially. This can be viewed as a Wilson action for a transverse lattice in x^5, and is shown explicitly to match the continuum 4+1 compactifed Lagrangian truncated in momentum space. Scale dependence of the gauge couplings is described by the standard renormalization group technique with threshold matching, leading to effec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0104035","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0104035/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:27:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3YVWvv2Q/Mviurgbl8sqTtlarUDSXGce6QTKX4H4ohU0sKVI5rw/CpG3KXHzBDuhXnXycI1lp4Vd5nyLsRw5Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T08:58:23.165156Z"},"content_sha256":"fc392b35fb3aa8f10cec90a9c6bfe9078d0e94965cabf471995b3644f04f6f16","schema_version":"1.0","event_id":"sha256:fc392b35fb3aa8f10cec90a9c6bfe9078d0e94965cabf471995b3644f04f6f16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KS2LG4EN4HP6F35RYJFMQWXPSJ/bundle.json","state_url":"https://pith.science/pith/KS2LG4EN4HP6F35RYJFMQWXPSJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KS2LG4EN4HP6F35RYJFMQWXPSJ/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":"2026-08-21T08:58:23Z","links":{"resolver":"https://pith.science/pith/KS2LG4EN4HP6F35RYJFMQWXPSJ","bundle":"https://pith.science/pith/KS2LG4EN4HP6F35RYJFMQWXPSJ/bundle.json","state":"https://pith.science/pith/KS2LG4EN4HP6F35RYJFMQWXPSJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KS2LG4EN4HP6F35RYJFMQWXPSJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:KS2LG4EN4HP6F35RYJFMQWXPSJ","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":"d2e8e644c42a4b1e51bbd31b45e340e3bca9e414ff61e2241e45f4b9f99983b2","cross_cats_sorted":["hep-lat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2001-04-04T20:25:49Z","title_canon_sha256":"6c91772bc38c4c9116f7d97e45c32ef2e96c8f4b2f3ea84350d560d527374781"},"schema_version":"1.0","source":{"id":"hep-th/0104035","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0104035","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0104035v2","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0104035","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"pith_short_12","alias_value":"KS2LG4EN4HP6","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KS2LG4EN4HP6F35R","created_at":"2026-07-04T16:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KS2LG4EN","created_at":"2026-07-04T16:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:fc392b35fb3aa8f10cec90a9c6bfe9078d0e94965cabf471995b3644f04f6f16","target":"graph","created_at":"2026-07-04T16:27:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0104035/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a manifestly gauge invariant Lagrangian in 3+1 dimensions for N Kaluza-Klein modes of an SU(m) gauge theory in the bulk. For example, if the bulk is 4+1, the effective theory is \\Pi_{i=1}^{N+1} SU(m)_i with N chiral (\\bar{m},m) fields connecting the groups sequentially. This can be viewed as a Wilson action for a transverse lattice in x^5, and is shown explicitly to match the continuum 4+1 compactifed Lagrangian truncated in momentum space. Scale dependence of the gauge couplings is described by the standard renormalization group technique with threshold matching, leading to effec","authors_text":"Christopher T. Hill, Jing Wang, Stefan Pokorski","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-04-04T20:25:49Z","title":"Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0104035","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":"sha256:8c82935c81af48de211fb0b841646fab121c5408c3b64316e37749899905562a","target":"record","created_at":"2026-07-04T16:27:49Z","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":"d2e8e644c42a4b1e51bbd31b45e340e3bca9e414ff61e2241e45f4b9f99983b2","cross_cats_sorted":["hep-lat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2001-04-04T20:25:49Z","title_canon_sha256":"6c91772bc38c4c9116f7d97e45c32ef2e96c8f4b2f3ea84350d560d527374781"},"schema_version":"1.0","source":{"id":"hep-th/0104035","kind":"arxiv","version":2}},"canonical_sha256":"54b4b3708de1dfe2efb1c24ac85aef9263de0f040bb081cc409b6c398a104824","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54b4b3708de1dfe2efb1c24ac85aef9263de0f040bb081cc409b6c398a104824","first_computed_at":"2026-07-04T16:27:49.801360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:27:49.801360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T0ZzcvsrVaaK1Rbmiokou3rGhsQPuY2ZZVns9kyEqG1IqjG/pE1UVxmXEuww0ylpNV61U2U/MSo8RNNm+A59Ag==","signature_status":"signed_v1","signed_at":"2026-07-04T16:27:49.801754Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0104035","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c82935c81af48de211fb0b841646fab121c5408c3b64316e37749899905562a","sha256:fc392b35fb3aa8f10cec90a9c6bfe9078d0e94965cabf471995b3644f04f6f16"],"state_sha256":"b60987a7ed641f7f9993992829dc7c62753f42b3095e9ff6c9ceefa369050fbd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"roQp8dZoHvnyKFOwk3mhwcZOSZZbQ0nBTAZ+IyM9Y+edHi9dTdbMquYWB8rSFn3FCySce9iof5/UITAUyhTfAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T08:58:23.171764Z","bundle_sha256":"eee24084c406992780a4f3f4a23fab7bf0bddb0b12571d285d4376161101396a"}}