{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IK66X5F2PT5PEKOTYOQS7PWH62","short_pith_number":"pith:IK66X5F2","schema_version":"1.0","canonical_sha256":"42bdebf4ba7cfaf229d3c3a12fbec7f6ba61d1e9728b1b6199a532f21447a2bc","source":{"kind":"arxiv","id":"1807.05233","version":2},"attestation_state":"computed","paper":{"title":"Counting of States in Higgs Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph"],"primary_cat":"hep-th","authors_text":"Mark P. Hertzberg, Mudit Jain","submitted_at":"2018-07-13T18:00:14Z","abstract_excerpt":"We enumerate the micro-states in Higgs theories, addressing (i) the number of vacuum states and (ii) the appropriate measure in the quantum path integral. To address (i) we explicitly construct the set of ground state wave-functionals in the field basis focussing on scalar modes $\\theta(x)$. Firstly, we show that in the limit in which the gauge coupling is zero, we obtain an infinite set of degenerate ground states at large volume distinguished by $\\theta(x)\\to\\theta(x)+\\theta_0$, spontaneously breaking the global symmetry, as is well known. We then show that at finite gauge coupling there is "},"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":"1807.05233","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-13T18:00:14Z","cross_cats_sorted":["astro-ph.CO","hep-ph"],"title_canon_sha256":"62df9b6fa4e151f8aa7f2a25b53eda00e6856d5825a3908d673de05960cde949","abstract_canon_sha256":"57881112a5e0ecc4c54e867278da88eb0b11cf036c08653e3da0f39225009bbe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:33.506061Z","signature_b64":"976SGGBv3Ycc8oFt8+HakBkoWUaLR+Iy/ajTSJJTer6Zcvz1sA2Dswu+d4+AinvPvefL2CYQh9oCJAWxzY75Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42bdebf4ba7cfaf229d3c3a12fbec7f6ba61d1e9728b1b6199a532f21447a2bc","last_reissued_at":"2026-05-17T23:49:33.505299Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:33.505299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Counting of States in Higgs Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph"],"primary_cat":"hep-th","authors_text":"Mark P. Hertzberg, Mudit Jain","submitted_at":"2018-07-13T18:00:14Z","abstract_excerpt":"We enumerate the micro-states in Higgs theories, addressing (i) the number of vacuum states and (ii) the appropriate measure in the quantum path integral. To address (i) we explicitly construct the set of ground state wave-functionals in the field basis focussing on scalar modes $\\theta(x)$. Firstly, we show that in the limit in which the gauge coupling is zero, we obtain an infinite set of degenerate ground states at large volume distinguished by $\\theta(x)\\to\\theta(x)+\\theta_0$, spontaneously breaking the global symmetry, as is well known. We then show that at finite gauge coupling there is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05233","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1807.05233","created_at":"2026-05-17T23:49:33.505434+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.05233v2","created_at":"2026-05-17T23:49:33.505434+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05233","created_at":"2026-05-17T23:49:33.505434+00:00"},{"alias_kind":"pith_short_12","alias_value":"IK66X5F2PT5P","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"IK66X5F2PT5PEKOT","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"IK66X5F2","created_at":"2026-05-18T12:32:31.084164+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/IK66X5F2PT5PEKOTYOQS7PWH62","json":"https://pith.science/pith/IK66X5F2PT5PEKOTYOQS7PWH62.json","graph_json":"https://pith.science/api/pith-number/IK66X5F2PT5PEKOTYOQS7PWH62/graph.json","events_json":"https://pith.science/api/pith-number/IK66X5F2PT5PEKOTYOQS7PWH62/events.json","paper":"https://pith.science/paper/IK66X5F2"},"agent_actions":{"view_html":"https://pith.science/pith/IK66X5F2PT5PEKOTYOQS7PWH62","download_json":"https://pith.science/pith/IK66X5F2PT5PEKOTYOQS7PWH62.json","view_paper":"https://pith.science/paper/IK66X5F2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.05233&json=true","fetch_graph":"https://pith.science/api/pith-number/IK66X5F2PT5PEKOTYOQS7PWH62/graph.json","fetch_events":"https://pith.science/api/pith-number/IK66X5F2PT5PEKOTYOQS7PWH62/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IK66X5F2PT5PEKOTYOQS7PWH62/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IK66X5F2PT5PEKOTYOQS7PWH62/action/storage_attestation","attest_author":"https://pith.science/pith/IK66X5F2PT5PEKOTYOQS7PWH62/action/author_attestation","sign_citation":"https://pith.science/pith/IK66X5F2PT5PEKOTYOQS7PWH62/action/citation_signature","submit_replication":"https://pith.science/pith/IK66X5F2PT5PEKOTYOQS7PWH62/action/replication_record"}},"created_at":"2026-05-17T23:49:33.505434+00:00","updated_at":"2026-05-17T23:49:33.505434+00:00"}