{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:RIHJYM6VAGVA3QLW7VSZB3IFIZ","short_pith_number":"pith:RIHJYM6V","canonical_record":{"source":{"id":"0801.0344","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2008-01-02T06:42:23Z","cross_cats_sorted":[],"title_canon_sha256":"6026f5a51d8b94164d29b0d9b399d3b2d9d2c447ec8b2863ba8b5b2d30aa3712","abstract_canon_sha256":"b5b43d856d748aab3c1e1f82aeb002019493b061688747f3140a5cb1b81080a6"},"schema_version":"1.0"},"canonical_sha256":"8a0e9c33d501aa0dc176fd6590ed05466d5fb7848d4facb388d3137349d252ac","source":{"kind":"arxiv","id":"0801.0344","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.0344","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"arxiv_version","alias_value":"0801.0344v1","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.0344","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"pith_short_12","alias_value":"RIHJYM6VAGVA","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"pith_short_16","alias_value":"RIHJYM6VAGVA3QLW","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"pith_short_8","alias_value":"RIHJYM6V","created_at":"2026-07-04T15:06:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:RIHJYM6VAGVA3QLW7VSZB3IFIZ","target":"record","payload":{"canonical_record":{"source":{"id":"0801.0344","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2008-01-02T06:42:23Z","cross_cats_sorted":[],"title_canon_sha256":"6026f5a51d8b94164d29b0d9b399d3b2d9d2c447ec8b2863ba8b5b2d30aa3712","abstract_canon_sha256":"b5b43d856d748aab3c1e1f82aeb002019493b061688747f3140a5cb1b81080a6"},"schema_version":"1.0"},"canonical_sha256":"8a0e9c33d501aa0dc176fd6590ed05466d5fb7848d4facb388d3137349d252ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:06:34.707113Z","signature_b64":"GuEnY88atdRfzxDyjssHvEmfHdoY/imDyLlrNWqu7mR2UrcX2Tkn54z1CkSJnodxZ3MWptGK/RPnY0f9LjBzBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a0e9c33d501aa0dc176fd6590ed05466d5fb7848d4facb388d3137349d252ac","last_reissued_at":"2026-07-04T15:06:34.706726Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:06:34.706726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0801.0344","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":"2026-07-04T15:06:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LHgLhyPDuLt0TO8WX3kEmpslXrDnBFRjGmWYppo+qPn4r+pNWvyVdHLv5hMQFdxw0jDz7T/ioqB+nrNqEc/WAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:17:26.394302Z"},"content_sha256":"4cc2cf2534745b063d52ba4b0296e1bd7427cbfa9f923d27fcb49a870af08760","schema_version":"1.0","event_id":"sha256:4cc2cf2534745b063d52ba4b0296e1bd7427cbfa9f923d27fcb49a870af08760"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:RIHJYM6VAGVA3QLW7VSZB3IFIZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Not T-parity but C-parity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jae Yong Lee","submitted_at":"2008-01-02T06:42:23Z","abstract_excerpt":"We revisit the Littlest Higgs model with $T$-parity, and discover a $Z_2$ symmetry on collective symmetry. It is dubbed collective parity ($\\EuScript{C}$-parity). We demonstrate that $T$-parity is consistent with $\\EuScript{C}$-parity. We further investigate the origin of the collective symmetry in the context of composite Higgs and find a new path to the UV complete theory of the model. In addition, we demonstrate that $T$-parity violating processes naturally take place."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.0344","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0801.0344/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":"2026-07-04T15:06:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dxs1kgaChrGECMmPxN/p+PzHAXRXX4hwlFFKfOAm5EPA0LTlzlToBc8bFt7XTlXOCiBUkmoG4d265/vwv1EqCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:17:26.395091Z"},"content_sha256":"c17bc67022c60a24cbf3e17a1f0566b33cfdfc4b1b6a8f05f612e68b62cd8a29","schema_version":"1.0","event_id":"sha256:c17bc67022c60a24cbf3e17a1f0566b33cfdfc4b1b6a8f05f612e68b62cd8a29"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RIHJYM6VAGVA3QLW7VSZB3IFIZ/bundle.json","state_url":"https://pith.science/pith/RIHJYM6VAGVA3QLW7VSZB3IFIZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RIHJYM6VAGVA3QLW7VSZB3IFIZ/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":"2026-08-12T23:17:26Z","links":{"resolver":"https://pith.science/pith/RIHJYM6VAGVA3QLW7VSZB3IFIZ","bundle":"https://pith.science/pith/RIHJYM6VAGVA3QLW7VSZB3IFIZ/bundle.json","state":"https://pith.science/pith/RIHJYM6VAGVA3QLW7VSZB3IFIZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RIHJYM6VAGVA3QLW7VSZB3IFIZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:RIHJYM6VAGVA3QLW7VSZB3IFIZ","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":"b5b43d856d748aab3c1e1f82aeb002019493b061688747f3140a5cb1b81080a6","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2008-01-02T06:42:23Z","title_canon_sha256":"6026f5a51d8b94164d29b0d9b399d3b2d9d2c447ec8b2863ba8b5b2d30aa3712"},"schema_version":"1.0","source":{"id":"0801.0344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.0344","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"arxiv_version","alias_value":"0801.0344v1","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.0344","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"pith_short_12","alias_value":"RIHJYM6VAGVA","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"pith_short_16","alias_value":"RIHJYM6VAGVA3QLW","created_at":"2026-07-04T15:06:34Z"},{"alias_kind":"pith_short_8","alias_value":"RIHJYM6V","created_at":"2026-07-04T15:06:34Z"}],"graph_snapshots":[{"event_id":"sha256:c17bc67022c60a24cbf3e17a1f0566b33cfdfc4b1b6a8f05f612e68b62cd8a29","target":"graph","created_at":"2026-07-04T15:06:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0801.0344/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the Littlest Higgs model with $T$-parity, and discover a $Z_2$ symmetry on collective symmetry. It is dubbed collective parity ($\\EuScript{C}$-parity). We demonstrate that $T$-parity is consistent with $\\EuScript{C}$-parity. We further investigate the origin of the collective symmetry in the context of composite Higgs and find a new path to the UV complete theory of the model. In addition, we demonstrate that $T$-parity violating processes naturally take place.","authors_text":"Jae Yong Lee","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2008-01-02T06:42:23Z","title":"Not T-parity but C-parity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.0344","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":"sha256:4cc2cf2534745b063d52ba4b0296e1bd7427cbfa9f923d27fcb49a870af08760","target":"record","created_at":"2026-07-04T15:06:34Z","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":"b5b43d856d748aab3c1e1f82aeb002019493b061688747f3140a5cb1b81080a6","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2008-01-02T06:42:23Z","title_canon_sha256":"6026f5a51d8b94164d29b0d9b399d3b2d9d2c447ec8b2863ba8b5b2d30aa3712"},"schema_version":"1.0","source":{"id":"0801.0344","kind":"arxiv","version":1}},"canonical_sha256":"8a0e9c33d501aa0dc176fd6590ed05466d5fb7848d4facb388d3137349d252ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a0e9c33d501aa0dc176fd6590ed05466d5fb7848d4facb388d3137349d252ac","first_computed_at":"2026-07-04T15:06:34.706726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:06:34.706726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GuEnY88atdRfzxDyjssHvEmfHdoY/imDyLlrNWqu7mR2UrcX2Tkn54z1CkSJnodxZ3MWptGK/RPnY0f9LjBzBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:06:34.707113Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.0344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cc2cf2534745b063d52ba4b0296e1bd7427cbfa9f923d27fcb49a870af08760","sha256:c17bc67022c60a24cbf3e17a1f0566b33cfdfc4b1b6a8f05f612e68b62cd8a29"],"state_sha256":"e8c8f8dc018f9eac62d4cce24d4346c405e3f929d2ab46c3829de10664eec1aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nkFgeO/ic69yVTR7OkjetICL1UAmZAt14SOc4veN6ZpDjDoltEHUUCRLC29i44OhVtGHJdx0BfoRvgQ0drjsCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T23:17:26.400442Z","bundle_sha256":"b895529f339cd6ca34e2a7368690867bcde49756482f32f2d4d568c7c4a5d23e"}}