{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:AHSTP5YTBM2355V7L6EUGIDLLT","short_pith_number":"pith:AHSTP5YT","schema_version":"1.0","canonical_sha256":"01e537f7130b35bef6bf5f8943206b5ced5fa92e78f641e6c96ae3328c74626a","source":{"kind":"arxiv","id":"1202.3793","version":2},"attestation_state":"computed","paper":{"title":"Critical Temperature Associated to Symmetry Breaking of Klein--Gordon fields versus Condensation Temperature in a Weakly interacting Bose--Einstein Gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"Elias Castellanos, Tonatiuh Matos","submitted_at":"2012-02-16T21:07:20Z","abstract_excerpt":"We deduce the relation between the critical temperature associated to the symmetry breaking of scalar fields with one--loop correction potential immersed in a thermal bath and the condensation temperature of the aforementioned system, assuming a harmonic oscillator type potential. We show that these two temperatures are related through the \\emph{scale} associated to the system. In this aim, we infer the order of magnitude for the \\emph{scale} as a function of the corresponding healing length, in order to give a criterium to compare both temperatures. Additionally, we prove that the condensatio"},"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":"1202.3793","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-16T21:07:20Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"title_canon_sha256":"8e9614b1330c102a40388522df49e8539be9f7aa7af05af699498b8e312ab757","abstract_canon_sha256":"68bc5b8db5a11cfdb69738f6447bfb628313576f5a5ee107ffacc4d52ff0a616"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:25.370621Z","signature_b64":"xbMW8mhaWyoiSvK3zI/fr7BygwL3yFdMT4zhFkoSc4Guoy/JtJZL2yaHfujSrRBA1AzcUPne+yBre8I7mN7qAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01e537f7130b35bef6bf5f8943206b5ced5fa92e78f641e6c96ae3328c74626a","last_reissued_at":"2026-05-18T03:51:25.370205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:25.370205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical Temperature Associated to Symmetry Breaking of Klein--Gordon fields versus Condensation Temperature in a Weakly interacting Bose--Einstein Gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"Elias Castellanos, Tonatiuh Matos","submitted_at":"2012-02-16T21:07:20Z","abstract_excerpt":"We deduce the relation between the critical temperature associated to the symmetry breaking of scalar fields with one--loop correction potential immersed in a thermal bath and the condensation temperature of the aforementioned system, assuming a harmonic oscillator type potential. We show that these two temperatures are related through the \\emph{scale} associated to the system. In this aim, we infer the order of magnitude for the \\emph{scale} as a function of the corresponding healing length, in order to give a criterium to compare both temperatures. Additionally, we prove that the condensatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3793","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":"1202.3793","created_at":"2026-05-18T03:51:25.370268+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.3793v2","created_at":"2026-05-18T03:51:25.370268+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3793","created_at":"2026-05-18T03:51:25.370268+00:00"},{"alias_kind":"pith_short_12","alias_value":"AHSTP5YTBM23","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"AHSTP5YTBM2355V7","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"AHSTP5YT","created_at":"2026-05-18T12:26:58.693483+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/AHSTP5YTBM2355V7L6EUGIDLLT","json":"https://pith.science/pith/AHSTP5YTBM2355V7L6EUGIDLLT.json","graph_json":"https://pith.science/api/pith-number/AHSTP5YTBM2355V7L6EUGIDLLT/graph.json","events_json":"https://pith.science/api/pith-number/AHSTP5YTBM2355V7L6EUGIDLLT/events.json","paper":"https://pith.science/paper/AHSTP5YT"},"agent_actions":{"view_html":"https://pith.science/pith/AHSTP5YTBM2355V7L6EUGIDLLT","download_json":"https://pith.science/pith/AHSTP5YTBM2355V7L6EUGIDLLT.json","view_paper":"https://pith.science/paper/AHSTP5YT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.3793&json=true","fetch_graph":"https://pith.science/api/pith-number/AHSTP5YTBM2355V7L6EUGIDLLT/graph.json","fetch_events":"https://pith.science/api/pith-number/AHSTP5YTBM2355V7L6EUGIDLLT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AHSTP5YTBM2355V7L6EUGIDLLT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AHSTP5YTBM2355V7L6EUGIDLLT/action/storage_attestation","attest_author":"https://pith.science/pith/AHSTP5YTBM2355V7L6EUGIDLLT/action/author_attestation","sign_citation":"https://pith.science/pith/AHSTP5YTBM2355V7L6EUGIDLLT/action/citation_signature","submit_replication":"https://pith.science/pith/AHSTP5YTBM2355V7L6EUGIDLLT/action/replication_record"}},"created_at":"2026-05-18T03:51:25.370268+00:00","updated_at":"2026-05-18T03:51:25.370268+00:00"}