{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:PRPAUEHLZM2TE5VZK4OQQ2V2UG","short_pith_number":"pith:PRPAUEHL","canonical_record":{"source":{"id":"2412.00355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-11-30T04:30:36Z","cross_cats_sorted":[],"title_canon_sha256":"ab32a90696ad6ff3b1ca9c432ece12e30b8579cad1e996062966e8448791b874","abstract_canon_sha256":"322c68e497e7ff7cbb7cfb08e069c625fb747ce235144ac1f9b83e7fbd8f7463"},"schema_version":"1.0"},"canonical_sha256":"7c5e0a10ebcb353276b9571d086abaa19505f5fb74076b8afdcf8002d63e3ea2","source":{"kind":"arxiv","id":"2412.00355","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.00355","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"arxiv_version","alias_value":"2412.00355v1","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.00355","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"pith_short_12","alias_value":"PRPAUEHLZM2T","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"pith_short_16","alias_value":"PRPAUEHLZM2TE5VZ","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"pith_short_8","alias_value":"PRPAUEHL","created_at":"2026-07-05T09:42:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:PRPAUEHLZM2TE5VZK4OQQ2V2UG","target":"record","payload":{"canonical_record":{"source":{"id":"2412.00355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-11-30T04:30:36Z","cross_cats_sorted":[],"title_canon_sha256":"ab32a90696ad6ff3b1ca9c432ece12e30b8579cad1e996062966e8448791b874","abstract_canon_sha256":"322c68e497e7ff7cbb7cfb08e069c625fb747ce235144ac1f9b83e7fbd8f7463"},"schema_version":"1.0"},"canonical_sha256":"7c5e0a10ebcb353276b9571d086abaa19505f5fb74076b8afdcf8002d63e3ea2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:42:40.037898Z","signature_b64":"iLWIwm4wxTjeoIKU3tgfTNZiqyv9Ug/K63net2textWmDzBwvittXLQSakxa1htFZC9aZCTHG6z3xUJyasuTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c5e0a10ebcb353276b9571d086abaa19505f5fb74076b8afdcf8002d63e3ea2","last_reissued_at":"2026-07-05T09:42:40.037458Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:42:40.037458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.00355","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":"2026-07-05T09:42:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zxz9H+fNtmLJLJWuWmS39CqqEDVQbz/GKX+259QCMkwvvdeLFHGj/0vxH08dMiyVCBw70NDGCnrc8PkP0FD3Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:28:52.234078Z"},"content_sha256":"68b57c983e2479988da860e31d0cb22262d8c84592c58d6eac5c90a2a3655df9","schema_version":"1.0","event_id":"sha256:68b57c983e2479988da860e31d0cb22262d8c84592c58d6eac5c90a2a3655df9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:PRPAUEHLZM2TE5VZK4OQQ2V2UG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Huayang Song, Xia Wan","submitted_at":"2024-11-30T04:30:36Z","abstract_excerpt":"We introduce a non-linear representation of ultraviolet~(UV) complete model, $U$ representation, under which matching HEFT to general scalar extensions of the standard model is straightforward. The main idea is to express a scalar multiplet in its linear form rotated by $U$ matrices, where $U$ matrix is exponential form of Goldstones based on Pauli matrices and meanwhile is a special $SU(2)_L$ rotation. All together the doublet is expressed in $U$ matrix multiplying a doublet column or bidoublet matrix, which is composed of physical Higgs. We show a complete matching between HEFT and real trip"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.00355","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/2412.00355/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":"2026-07-05T09:42:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Becc1KXN2ckmDTFCfGijeNRly1A7SCSp6GoakPsiNUdARQYhufJYR28BtTiWyvv4PHIdP9IlxctnKfHQbssoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:28:52.234579Z"},"content_sha256":"286cbaf1675a5823c5569c3d36db26e24bba433ff664fc9cfe1f460edd100407","schema_version":"1.0","event_id":"sha256:286cbaf1675a5823c5569c3d36db26e24bba433ff664fc9cfe1f460edd100407"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PRPAUEHLZM2TE5VZK4OQQ2V2UG/bundle.json","state_url":"https://pith.science/pith/PRPAUEHLZM2TE5VZK4OQQ2V2UG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PRPAUEHLZM2TE5VZK4OQQ2V2UG/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":"2026-08-12T14:28:52Z","links":{"resolver":"https://pith.science/pith/PRPAUEHLZM2TE5VZK4OQQ2V2UG","bundle":"https://pith.science/pith/PRPAUEHLZM2TE5VZK4OQQ2V2UG/bundle.json","state":"https://pith.science/pith/PRPAUEHLZM2TE5VZK4OQQ2V2UG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PRPAUEHLZM2TE5VZK4OQQ2V2UG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PRPAUEHLZM2TE5VZK4OQQ2V2UG","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":"322c68e497e7ff7cbb7cfb08e069c625fb747ce235144ac1f9b83e7fbd8f7463","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-11-30T04:30:36Z","title_canon_sha256":"ab32a90696ad6ff3b1ca9c432ece12e30b8579cad1e996062966e8448791b874"},"schema_version":"1.0","source":{"id":"2412.00355","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.00355","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"arxiv_version","alias_value":"2412.00355v1","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.00355","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"pith_short_12","alias_value":"PRPAUEHLZM2T","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"pith_short_16","alias_value":"PRPAUEHLZM2TE5VZ","created_at":"2026-07-05T09:42:40Z"},{"alias_kind":"pith_short_8","alias_value":"PRPAUEHL","created_at":"2026-07-05T09:42:40Z"}],"graph_snapshots":[{"event_id":"sha256:286cbaf1675a5823c5569c3d36db26e24bba433ff664fc9cfe1f460edd100407","target":"graph","created_at":"2026-07-05T09:42:40Z","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/2412.00355/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a non-linear representation of ultraviolet~(UV) complete model, $U$ representation, under which matching HEFT to general scalar extensions of the standard model is straightforward. The main idea is to express a scalar multiplet in its linear form rotated by $U$ matrices, where $U$ matrix is exponential form of Goldstones based on Pauli matrices and meanwhile is a special $SU(2)_L$ rotation. All together the doublet is expressed in $U$ matrix multiplying a doublet column or bidoublet matrix, which is composed of physical Higgs. We show a complete matching between HEFT and real trip","authors_text":"Huayang Song, Xia Wan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-11-30T04:30:36Z","title":"A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.00355","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":"sha256:68b57c983e2479988da860e31d0cb22262d8c84592c58d6eac5c90a2a3655df9","target":"record","created_at":"2026-07-05T09:42:40Z","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":"322c68e497e7ff7cbb7cfb08e069c625fb747ce235144ac1f9b83e7fbd8f7463","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-11-30T04:30:36Z","title_canon_sha256":"ab32a90696ad6ff3b1ca9c432ece12e30b8579cad1e996062966e8448791b874"},"schema_version":"1.0","source":{"id":"2412.00355","kind":"arxiv","version":1}},"canonical_sha256":"7c5e0a10ebcb353276b9571d086abaa19505f5fb74076b8afdcf8002d63e3ea2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c5e0a10ebcb353276b9571d086abaa19505f5fb74076b8afdcf8002d63e3ea2","first_computed_at":"2026-07-05T09:42:40.037458Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:42:40.037458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iLWIwm4wxTjeoIKU3tgfTNZiqyv9Ug/K63net2textWmDzBwvittXLQSakxa1htFZC9aZCTHG6z3xUJyasuTBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:42:40.037898Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.00355","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68b57c983e2479988da860e31d0cb22262d8c84592c58d6eac5c90a2a3655df9","sha256:286cbaf1675a5823c5569c3d36db26e24bba433ff664fc9cfe1f460edd100407"],"state_sha256":"451cf12ed21fded265b0557b6cfa604546d7a9bb027f6d43726db890f10f9083"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IZhIXIXl1ht44kPaT5q159bRwNR+FfIlT15X6f2wiTci0rskKaPEE2WCZUAiOkesqN93of326ClUAQiWWPk0Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T14:28:52.239842Z","bundle_sha256":"3d767ef84aa1eec777fc12374a83460cd887c711bd03dbc0c6643453bdf9fc2b"}}