{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:V6G7TNIV22ALEFLWZOOCR5N5CQ","short_pith_number":"pith:V6G7TNIV","canonical_record":{"source":{"id":"1812.02614","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-06T15:44:46Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fb983f983e6783d0ad8c2d65b78684cfbd605dea293e61be7b484085f4362f73","abstract_canon_sha256":"1c4678891d26f5d630fb5198d22b76b214bb16b186898d3101314affa48f54d6"},"schema_version":"1.0"},"canonical_sha256":"af8df9b515d680b21576cb9c28f5bd1420a6c1da921b4053cb863333e7ccf37b","source":{"kind":"arxiv","id":"1812.02614","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02614","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02614v2","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02614","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"V6G7TNIV22AL","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"V6G7TNIV22ALEFLW","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"V6G7TNIV","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:V6G7TNIV22ALEFLWZOOCR5N5CQ","target":"record","payload":{"canonical_record":{"source":{"id":"1812.02614","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-06T15:44:46Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fb983f983e6783d0ad8c2d65b78684cfbd605dea293e61be7b484085f4362f73","abstract_canon_sha256":"1c4678891d26f5d630fb5198d22b76b214bb16b186898d3101314affa48f54d6"},"schema_version":"1.0"},"canonical_sha256":"af8df9b515d680b21576cb9c28f5bd1420a6c1da921b4053cb863333e7ccf37b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:17.066731Z","signature_b64":"5+hAEG51Bp2IJqlodoahxVrIqhea+VmLEyYbm+ARW/TeE3BLgL//JxXT2cb1cFwtwV8dUDHDZsJlQlPSlDJ5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af8df9b515d680b21576cb9c28f5bd1420a6c1da921b4053cb863333e7ccf37b","last_reissued_at":"2026-05-17T23:43:17.066103Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:17.066103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.02614","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":"2026-05-17T23:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5YYGkUH+/CG+MLzGWQtdgLw7pbfPgldTzjbDrFjEb0fPVjWtzXxbpw3EcxNa59DiNpk3Y2VRDrIjD/ucS02ICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T02:28:58.946970Z"},"content_sha256":"3d619699b7da7be9cf0d1eea7f37e6c61f3cecc4d5c90c6e50e51d617fb706a1","schema_version":"1.0","event_id":"sha256:3d619699b7da7be9cf0d1eea7f37e6c61f3cecc4d5c90c6e50e51d617fb706a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:V6G7TNIV22ALEFLWZOOCR5N5CQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Systematic construction of basis invariants in the 2HDM","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Andreas Trautner","submitted_at":"2018-12-06T15:44:46Z","abstract_excerpt":"A new systematic method for the explicit construction of (basis-)invariants is introduced and employed to construct the full ring of basis invariants of the Two-Higgs-Doublet-Model (2HDM) scalar sector. Co- and invariant quantities are obtained by the use of hermitian projection operators. These projection operators are constructed from Young tableaux via birdtrack diagrams and they are used in two steps. First, to extract basis-covariant quantities, and second, to combine the covariants in order to obtain the actual basis invariants. The Hilbert series and Plethystic logarithm are used to fin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02614","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":"2026-05-17T23:43:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1rzHATG+bT4BOkjWvmMKkGKH4KiXEc1T8eExjJ/zIFj0h4L+ulunrqHFlyIGiXQ/Gm6pjdt6Vj78DhaV+yeqCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T02:28:58.947563Z"},"content_sha256":"9adb7acbd6242a7a0a199432e7b16f62c08f629c02300a64e074ecccfd27a514","schema_version":"1.0","event_id":"sha256:9adb7acbd6242a7a0a199432e7b16f62c08f629c02300a64e074ecccfd27a514"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V6G7TNIV22ALEFLWZOOCR5N5CQ/bundle.json","state_url":"https://pith.science/pith/V6G7TNIV22ALEFLWZOOCR5N5CQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V6G7TNIV22ALEFLWZOOCR5N5CQ/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":"2026-08-23T02:28:58Z","links":{"resolver":"https://pith.science/pith/V6G7TNIV22ALEFLWZOOCR5N5CQ","bundle":"https://pith.science/pith/V6G7TNIV22ALEFLWZOOCR5N5CQ/bundle.json","state":"https://pith.science/pith/V6G7TNIV22ALEFLWZOOCR5N5CQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V6G7TNIV22ALEFLWZOOCR5N5CQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:V6G7TNIV22ALEFLWZOOCR5N5CQ","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":"1c4678891d26f5d630fb5198d22b76b214bb16b186898d3101314affa48f54d6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-06T15:44:46Z","title_canon_sha256":"fb983f983e6783d0ad8c2d65b78684cfbd605dea293e61be7b484085f4362f73"},"schema_version":"1.0","source":{"id":"1812.02614","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02614","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02614v2","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02614","created_at":"2026-05-17T23:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"V6G7TNIV22AL","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"V6G7TNIV22ALEFLW","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"V6G7TNIV","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:9adb7acbd6242a7a0a199432e7b16f62c08f629c02300a64e074ecccfd27a514","target":"graph","created_at":"2026-05-17T23:43:17Z","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":"A new systematic method for the explicit construction of (basis-)invariants is introduced and employed to construct the full ring of basis invariants of the Two-Higgs-Doublet-Model (2HDM) scalar sector. Co- and invariant quantities are obtained by the use of hermitian projection operators. These projection operators are constructed from Young tableaux via birdtrack diagrams and they are used in two steps. First, to extract basis-covariant quantities, and second, to combine the covariants in order to obtain the actual basis invariants. The Hilbert series and Plethystic logarithm are used to fin","authors_text":"Andreas Trautner","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-06T15:44:46Z","title":"Systematic construction of basis invariants in the 2HDM"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02614","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":"sha256:3d619699b7da7be9cf0d1eea7f37e6c61f3cecc4d5c90c6e50e51d617fb706a1","target":"record","created_at":"2026-05-17T23:43:17Z","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":"1c4678891d26f5d630fb5198d22b76b214bb16b186898d3101314affa48f54d6","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-06T15:44:46Z","title_canon_sha256":"fb983f983e6783d0ad8c2d65b78684cfbd605dea293e61be7b484085f4362f73"},"schema_version":"1.0","source":{"id":"1812.02614","kind":"arxiv","version":2}},"canonical_sha256":"af8df9b515d680b21576cb9c28f5bd1420a6c1da921b4053cb863333e7ccf37b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af8df9b515d680b21576cb9c28f5bd1420a6c1da921b4053cb863333e7ccf37b","first_computed_at":"2026-05-17T23:43:17.066103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:17.066103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5+hAEG51Bp2IJqlodoahxVrIqhea+VmLEyYbm+ARW/TeE3BLgL//JxXT2cb1cFwtwV8dUDHDZsJlQlPSlDJ5BQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:17.066731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.02614","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d619699b7da7be9cf0d1eea7f37e6c61f3cecc4d5c90c6e50e51d617fb706a1","sha256:9adb7acbd6242a7a0a199432e7b16f62c08f629c02300a64e074ecccfd27a514"],"state_sha256":"f076301c89c922243f1a95f4f4df6b94e71aa657e3837f20e16f9b1426f5cfe9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UMCZ/l3i2g61cNwPraEkpf53W2D7isP12SsN4+dK3WbNTfeCWFfEoi76Q1BYJoi8JdtF87sHgdQzRw5XM4wOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T02:28:58.952684Z","bundle_sha256":"995a247565dab809f469fe24fab9ef72184b177631644f943f9e84242c32527b"}}