{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:JVFSY7JS5WEOSJW6TZHZDOYVIU","short_pith_number":"pith:JVFSY7JS","canonical_record":{"source":{"id":"hep-lat/0609045","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2006-09-25T19:48:03Z","cross_cats_sorted":[],"title_canon_sha256":"e05109a2c40c4d94ed9435cbdfc38d5a48fd9518138cf4dae230158f31cbef30","abstract_canon_sha256":"ddc06bf22b8a62e47a1c045a876ae49cdec53cb1cd28ccf824fd51f903451d0e"},"schema_version":"1.0"},"canonical_sha256":"4d4b2c7d32ed88e926de9e4f91bb154522eaaa4c5dfd8404e502c12e1e5c1ce3","source":{"kind":"arxiv","id":"hep-lat/0609045","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0609045","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0609045v2","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0609045","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"pith_short_12","alias_value":"JVFSY7JS5WEO","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"pith_short_16","alias_value":"JVFSY7JS5WEOSJW6","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"pith_short_8","alias_value":"JVFSY7JS","created_at":"2026-07-04T15:22:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:JVFSY7JS5WEOSJW6TZHZDOYVIU","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/0609045","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2006-09-25T19:48:03Z","cross_cats_sorted":[],"title_canon_sha256":"e05109a2c40c4d94ed9435cbdfc38d5a48fd9518138cf4dae230158f31cbef30","abstract_canon_sha256":"ddc06bf22b8a62e47a1c045a876ae49cdec53cb1cd28ccf824fd51f903451d0e"},"schema_version":"1.0"},"canonical_sha256":"4d4b2c7d32ed88e926de9e4f91bb154522eaaa4c5dfd8404e502c12e1e5c1ce3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:24.742380Z","signature_b64":"CSb9yY1BHUC+bM8keWIcPwj5q4GzfLx+OMHXP7KEv3RGC8UfFamZ6ys1pKz1dTTZXHu3bntLxD4PmNj3y5d2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d4b2c7d32ed88e926de9e4f91bb154522eaaa4c5dfd8404e502c12e1e5c1ce3","last_reissued_at":"2026-07-04T15:22:24.742030Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:24.742030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/0609045","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":"2026-07-04T15:22:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"km85swmawtqxLEY1IvlbxjdRRI4ii1PsHbVE+heLyI07Saz6FLP9Bb7gNFyDWsLFiT5nFGTHeZzN3uaZ3qPAAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T05:55:02.357108Z"},"content_sha256":"6e72ab8a93db0e389964bb6b78ba45d925e41fa33327ce59097b2a95d83156e6","schema_version":"1.0","event_id":"sha256:6e72ab8a93db0e389964bb6b78ba45d925e41fa33327ce59097b2a95d83156e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:JVFSY7JS5WEOSJW6TZHZDOYVIU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lattice Gauge Theory Approach to Spontaneous Symmetry Breaking from an Extra Dimension","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"K. Knechtli, N. Irges","submitted_at":"2006-09-25T19:48:03Z","abstract_excerpt":"We present lattice simulation results corresponding to an SU(2) pure gauge theory defined on the orbifold space E_4 x I_1, where E_4 is the four-dimensional Euclidean space and I_1 is an interval, with the gauge symmetry broken to a U(1) subgroup at the two ends of the interval by appropriate boundary conditions. We demonstrate that the U(1) gauge boson acquires a mass from a Higgs mechanism. The mechanism is driven by two of the extra-dimensional components of the five-dimensional gauge field which play respectively the role of the longitudinal component of the gauge boson and a massive real "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0609045","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-lat/0609045/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":"2026-07-04T15:22:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Qo1th2TvWwuh2ua76hNbSp9bRDyp6C3SylDG26HJt+T4PMqYZlwlNO8QpM52DD48W3l2+KBVBR4jwf9h5mkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T05:55:02.357627Z"},"content_sha256":"3ae6bca27f3e7395361b7d00f67fa0f10f558271792fb4764c4fd6888948298f","schema_version":"1.0","event_id":"sha256:3ae6bca27f3e7395361b7d00f67fa0f10f558271792fb4764c4fd6888948298f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JVFSY7JS5WEOSJW6TZHZDOYVIU/bundle.json","state_url":"https://pith.science/pith/JVFSY7JS5WEOSJW6TZHZDOYVIU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JVFSY7JS5WEOSJW6TZHZDOYVIU/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":"2026-08-05T05:55:02Z","links":{"resolver":"https://pith.science/pith/JVFSY7JS5WEOSJW6TZHZDOYVIU","bundle":"https://pith.science/pith/JVFSY7JS5WEOSJW6TZHZDOYVIU/bundle.json","state":"https://pith.science/pith/JVFSY7JS5WEOSJW6TZHZDOYVIU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JVFSY7JS5WEOSJW6TZHZDOYVIU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:JVFSY7JS5WEOSJW6TZHZDOYVIU","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":"ddc06bf22b8a62e47a1c045a876ae49cdec53cb1cd28ccf824fd51f903451d0e","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2006-09-25T19:48:03Z","title_canon_sha256":"e05109a2c40c4d94ed9435cbdfc38d5a48fd9518138cf4dae230158f31cbef30"},"schema_version":"1.0","source":{"id":"hep-lat/0609045","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0609045","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0609045v2","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0609045","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"pith_short_12","alias_value":"JVFSY7JS5WEO","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"pith_short_16","alias_value":"JVFSY7JS5WEOSJW6","created_at":"2026-07-04T15:22:24Z"},{"alias_kind":"pith_short_8","alias_value":"JVFSY7JS","created_at":"2026-07-04T15:22:24Z"}],"graph_snapshots":[{"event_id":"sha256:3ae6bca27f3e7395361b7d00f67fa0f10f558271792fb4764c4fd6888948298f","target":"graph","created_at":"2026-07-04T15:22:24Z","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-lat/0609045/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present lattice simulation results corresponding to an SU(2) pure gauge theory defined on the orbifold space E_4 x I_1, where E_4 is the four-dimensional Euclidean space and I_1 is an interval, with the gauge symmetry broken to a U(1) subgroup at the two ends of the interval by appropriate boundary conditions. We demonstrate that the U(1) gauge boson acquires a mass from a Higgs mechanism. The mechanism is driven by two of the extra-dimensional components of the five-dimensional gauge field which play respectively the role of the longitudinal component of the gauge boson and a massive real ","authors_text":"K. Knechtli, N. Irges","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2006-09-25T19:48:03Z","title":"Lattice Gauge Theory Approach to Spontaneous Symmetry Breaking from an Extra Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0609045","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":"sha256:6e72ab8a93db0e389964bb6b78ba45d925e41fa33327ce59097b2a95d83156e6","target":"record","created_at":"2026-07-04T15:22:24Z","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":"ddc06bf22b8a62e47a1c045a876ae49cdec53cb1cd28ccf824fd51f903451d0e","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2006-09-25T19:48:03Z","title_canon_sha256":"e05109a2c40c4d94ed9435cbdfc38d5a48fd9518138cf4dae230158f31cbef30"},"schema_version":"1.0","source":{"id":"hep-lat/0609045","kind":"arxiv","version":2}},"canonical_sha256":"4d4b2c7d32ed88e926de9e4f91bb154522eaaa4c5dfd8404e502c12e1e5c1ce3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d4b2c7d32ed88e926de9e4f91bb154522eaaa4c5dfd8404e502c12e1e5c1ce3","first_computed_at":"2026-07-04T15:22:24.742030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:22:24.742030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CSb9yY1BHUC+bM8keWIcPwj5q4GzfLx+OMHXP7KEv3RGC8UfFamZ6ys1pKz1dTTZXHu3bntLxD4PmNj3y5d2Ag==","signature_status":"signed_v1","signed_at":"2026-07-04T15:22:24.742380Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/0609045","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e72ab8a93db0e389964bb6b78ba45d925e41fa33327ce59097b2a95d83156e6","sha256:3ae6bca27f3e7395361b7d00f67fa0f10f558271792fb4764c4fd6888948298f"],"state_sha256":"60924a0c54019d6880b0aaead596e148942580bdb6b32d13c313a4e8419e272a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4nt3a4swX0ppkuaf2piotnzbJFvOo5yEZ6fG7y1yiQqGFf5EEHlp/6L7+84bhuEttazyakmvkw48hYB1RbkcBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T05:55:02.378200Z","bundle_sha256":"32ce3752d0379c31cf29b097d0df9f1188e7540af615b3f9f26d146723f4f2c2"}}