{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:RE27W4GYFT7UGXVRBEKNDIN6K4","short_pith_number":"pith:RE27W4GY","schema_version":"1.0","canonical_sha256":"8935fb70d82cff435eb10914d1a1be573e9998958effed4dc69d5a38d12f6a09","source":{"kind":"arxiv","id":"1205.1160","version":1},"attestation_state":"computed","paper":{"title":"Spontaneous symmetry breaking and linear effective potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Jean Alexandre","submitted_at":"2012-05-05T20:46:15Z","abstract_excerpt":"The convexity of a scalar effective potential is a well known property, and, in the situation of spontaneous symmetry breaking, leads to the so-called Maxwell construction, characterised by a flat effective potential between the minima of the bare potential. Simple derivations are given here, which show how linear effective potentials arise from non-trivial saddles points which dominate the partition function, for a self-interacting scalar field and for a Yukawa model."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.1160","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-05T20:46:15Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"2a72ab2b714cf63e2bcef06c9a04e79e5ec4bd0cf52f43c3cefcfc8349b0d593","abstract_canon_sha256":"b10353d4dc54db81e835072a7c7d56dceff2fb40fe701857b465ea481d1a49eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:41.526166Z","signature_b64":"DguD61ISj7bidXpykdJxgFdoR7uwutbOCBQEGVMu9WOsjWykJ5BXryey3hF+x6jEbMzpk9dyWxy/Gr22CVaCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8935fb70d82cff435eb10914d1a1be573e9998958effed4dc69d5a38d12f6a09","last_reissued_at":"2026-05-18T03:22:41.525481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:41.525481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spontaneous symmetry breaking and linear effective potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Jean Alexandre","submitted_at":"2012-05-05T20:46:15Z","abstract_excerpt":"The convexity of a scalar effective potential is a well known property, and, in the situation of spontaneous symmetry breaking, leads to the so-called Maxwell construction, characterised by a flat effective potential between the minima of the bare potential. Simple derivations are given here, which show how linear effective potentials arise from non-trivial saddles points which dominate the partition function, for a self-interacting scalar field and for a Yukawa model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1160","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1205.1160","created_at":"2026-05-18T03:22:41.525579+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.1160v1","created_at":"2026-05-18T03:22:41.525579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1160","created_at":"2026-05-18T03:22:41.525579+00:00"},{"alias_kind":"pith_short_12","alias_value":"RE27W4GYFT7U","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"RE27W4GYFT7UGXVR","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"RE27W4GY","created_at":"2026-05-18T12:27:20.899486+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RE27W4GYFT7UGXVRBEKNDIN6K4","json":"https://pith.science/pith/RE27W4GYFT7UGXVRBEKNDIN6K4.json","graph_json":"https://pith.science/api/pith-number/RE27W4GYFT7UGXVRBEKNDIN6K4/graph.json","events_json":"https://pith.science/api/pith-number/RE27W4GYFT7UGXVRBEKNDIN6K4/events.json","paper":"https://pith.science/paper/RE27W4GY"},"agent_actions":{"view_html":"https://pith.science/pith/RE27W4GYFT7UGXVRBEKNDIN6K4","download_json":"https://pith.science/pith/RE27W4GYFT7UGXVRBEKNDIN6K4.json","view_paper":"https://pith.science/paper/RE27W4GY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.1160&json=true","fetch_graph":"https://pith.science/api/pith-number/RE27W4GYFT7UGXVRBEKNDIN6K4/graph.json","fetch_events":"https://pith.science/api/pith-number/RE27W4GYFT7UGXVRBEKNDIN6K4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RE27W4GYFT7UGXVRBEKNDIN6K4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RE27W4GYFT7UGXVRBEKNDIN6K4/action/storage_attestation","attest_author":"https://pith.science/pith/RE27W4GYFT7UGXVRBEKNDIN6K4/action/author_attestation","sign_citation":"https://pith.science/pith/RE27W4GYFT7UGXVRBEKNDIN6K4/action/citation_signature","submit_replication":"https://pith.science/pith/RE27W4GYFT7UGXVRBEKNDIN6K4/action/replication_record"}},"created_at":"2026-05-18T03:22:41.525579+00:00","updated_at":"2026-05-18T03:22:41.525579+00:00"}