{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FHFXSNHW2FGSZRYI5XVBBISBXL","short_pith_number":"pith:FHFXSNHW","canonical_record":{"source":{"id":"1606.07069","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-06-22T20:00:05Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"decefb7afbb2560c1695c8a114f7e72c375ffb4a9686d57d4116134ad7d4f1f9","abstract_canon_sha256":"5c7e47ec18dc445c1160a003dcf73df26f7ddb5294b73c7118f5a1b2501f3f6e"},"schema_version":"1.0"},"canonical_sha256":"29cb7934f6d14d2cc708edea10a241bad7b7ec8c1364fe857531aff9c61b7989","source":{"kind":"arxiv","id":"1606.07069","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.07069","created_at":"2026-05-18T01:10:19Z"},{"alias_kind":"arxiv_version","alias_value":"1606.07069v2","created_at":"2026-05-18T01:10:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07069","created_at":"2026-05-18T01:10:19Z"},{"alias_kind":"pith_short_12","alias_value":"FHFXSNHW2FGS","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FHFXSNHW2FGSZRYI","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FHFXSNHW","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FHFXSNHW2FGSZRYI5XVBBISBXL","target":"record","payload":{"canonical_record":{"source":{"id":"1606.07069","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-06-22T20:00:05Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"decefb7afbb2560c1695c8a114f7e72c375ffb4a9686d57d4116134ad7d4f1f9","abstract_canon_sha256":"5c7e47ec18dc445c1160a003dcf73df26f7ddb5294b73c7118f5a1b2501f3f6e"},"schema_version":"1.0"},"canonical_sha256":"29cb7934f6d14d2cc708edea10a241bad7b7ec8c1364fe857531aff9c61b7989","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:19.722734Z","signature_b64":"854ssMEiyMszWYpTgiAi47GvYmKr1ECnLCoLJO6mZdC2YE/p9nr1hiwSozyx5LQwTVq/T9HMYDHRhffpUwnXCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29cb7934f6d14d2cc708edea10a241bad7b7ec8c1364fe857531aff9c61b7989","last_reissued_at":"2026-05-18T01:10:19.722202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:19.722202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.07069","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":"2026-05-18T01:10:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PtiehCDqvJyUGGsHhnNRLPWr9EEQxuE4UXk0EqmTanEBb9a/Ad1XNdfSBdV8T6cGnFYjFtsJiqD6DL6YgI1kDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:48:57.296595Z"},"content_sha256":"c84aec7ac187e55350155cc82e5d35a4eabb7daacc14be05f77543853028915c","schema_version":"1.0","event_id":"sha256:c84aec7ac187e55350155cc82e5d35a4eabb7daacc14be05f77543853028915c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FHFXSNHW2FGSZRYI5XVBBISBXL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"All one-loop scalar vertices in the effective potential approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Ant\\'onio P. Morais, Jonas Wess\\'en, Jos\\'e Eliel Camargo-Molina, Marco O. P. Sampaio, Roman Pasechnik","submitted_at":"2016-06-22T20:00:05Z","abstract_excerpt":"Using the one-loop Coleman-Weinberg effective potential, we derive a general analytic expression for all the derivatives of the effective potential with respect to any number of classical scalar fields. The result is valid for a renormalisable theory in four dimensions with any number of scalars, fermions or gauge bosons. This result corresponds to the zero-external momentum contribution to a general one-loop diagram with N scalar external legs. We illustrate the use of the general result in two simple scalar singlet extensions of the Standard Model, to obtain the dominant contributions to the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07069","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":"2026-05-18T01:10:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kvwdEhnry/jiNq7OtcnrOVPMReNr70VDYirM1CCrgZ96I5wdoZi0ci0YKUAVYyFQQhz/IGHEv0urMl41wk9CDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:48:57.296943Z"},"content_sha256":"37df88573d43d3e352cac5f1012845069e05967b1b40f637605df4f20beb43f5","schema_version":"1.0","event_id":"sha256:37df88573d43d3e352cac5f1012845069e05967b1b40f637605df4f20beb43f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FHFXSNHW2FGSZRYI5XVBBISBXL/bundle.json","state_url":"https://pith.science/pith/FHFXSNHW2FGSZRYI5XVBBISBXL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FHFXSNHW2FGSZRYI5XVBBISBXL/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":"2026-06-02T06:48:57Z","links":{"resolver":"https://pith.science/pith/FHFXSNHW2FGSZRYI5XVBBISBXL","bundle":"https://pith.science/pith/FHFXSNHW2FGSZRYI5XVBBISBXL/bundle.json","state":"https://pith.science/pith/FHFXSNHW2FGSZRYI5XVBBISBXL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FHFXSNHW2FGSZRYI5XVBBISBXL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FHFXSNHW2FGSZRYI5XVBBISBXL","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":"5c7e47ec18dc445c1160a003dcf73df26f7ddb5294b73c7118f5a1b2501f3f6e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-06-22T20:00:05Z","title_canon_sha256":"decefb7afbb2560c1695c8a114f7e72c375ffb4a9686d57d4116134ad7d4f1f9"},"schema_version":"1.0","source":{"id":"1606.07069","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.07069","created_at":"2026-05-18T01:10:19Z"},{"alias_kind":"arxiv_version","alias_value":"1606.07069v2","created_at":"2026-05-18T01:10:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07069","created_at":"2026-05-18T01:10:19Z"},{"alias_kind":"pith_short_12","alias_value":"FHFXSNHW2FGS","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FHFXSNHW2FGSZRYI","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FHFXSNHW","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:37df88573d43d3e352cac5f1012845069e05967b1b40f637605df4f20beb43f5","target":"graph","created_at":"2026-05-18T01:10:19Z","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":"Using the one-loop Coleman-Weinberg effective potential, we derive a general analytic expression for all the derivatives of the effective potential with respect to any number of classical scalar fields. The result is valid for a renormalisable theory in four dimensions with any number of scalars, fermions or gauge bosons. This result corresponds to the zero-external momentum contribution to a general one-loop diagram with N scalar external legs. We illustrate the use of the general result in two simple scalar singlet extensions of the Standard Model, to obtain the dominant contributions to the","authors_text":"Ant\\'onio P. Morais, Jonas Wess\\'en, Jos\\'e Eliel Camargo-Molina, Marco O. P. Sampaio, Roman Pasechnik","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-06-22T20:00:05Z","title":"All one-loop scalar vertices in the effective potential approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07069","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:c84aec7ac187e55350155cc82e5d35a4eabb7daacc14be05f77543853028915c","target":"record","created_at":"2026-05-18T01:10:19Z","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":"5c7e47ec18dc445c1160a003dcf73df26f7ddb5294b73c7118f5a1b2501f3f6e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-06-22T20:00:05Z","title_canon_sha256":"decefb7afbb2560c1695c8a114f7e72c375ffb4a9686d57d4116134ad7d4f1f9"},"schema_version":"1.0","source":{"id":"1606.07069","kind":"arxiv","version":2}},"canonical_sha256":"29cb7934f6d14d2cc708edea10a241bad7b7ec8c1364fe857531aff9c61b7989","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29cb7934f6d14d2cc708edea10a241bad7b7ec8c1364fe857531aff9c61b7989","first_computed_at":"2026-05-18T01:10:19.722202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:19.722202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"854ssMEiyMszWYpTgiAi47GvYmKr1ECnLCoLJO6mZdC2YE/p9nr1hiwSozyx5LQwTVq/T9HMYDHRhffpUwnXCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:19.722734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.07069","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c84aec7ac187e55350155cc82e5d35a4eabb7daacc14be05f77543853028915c","sha256:37df88573d43d3e352cac5f1012845069e05967b1b40f637605df4f20beb43f5"],"state_sha256":"5845af718d8ee156f674a1c3a6fd0684535c9fb27cc74ae7a3feb3951f791895"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nVq/A2yKoS7zYa+cMhQLEUg/Wa4BIwvGzHgs0ILc9UxGdOgQkclchcTSvzDrkSxBeAkHNODZmaJwbvNpgdwaAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T06:48:57.298858Z","bundle_sha256":"be905254360fc94d0a450593fd836c0ce16c982bb0bc805523459360ab7622b5"}}