{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:Z3VAGJBPTKFVPFI7GZBIZVJXNH","short_pith_number":"pith:Z3VAGJBP","schema_version":"1.0","canonical_sha256":"ceea03242f9a8b57951f36428cd53769ddd8c98ce81352c6be1f9869f52593b9","source":{"kind":"arxiv","id":"2103.04937","version":1},"attestation_state":"computed","paper":{"title":"Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Christoph P. Hofmann","submitted_at":"2021-03-08T17:53:57Z","abstract_excerpt":"While it is known that the QCD vacuum in a magnetic background exhibits both diamagnetic and paramagnetic characteristics in the low-energy domain, a systematic investigation of the corresponding phases emerging in the pion-dominated regime is still lacking. Here, within two-flavor chiral perturbation theory, taking into account the pion-pion interaction, we analyze the subtle interplay between zero- and finite-temperature portions in the magnetization and magnetic susceptibility. The dependence of the magnetic susceptibility on temperature and magnetic field strength in the paramagnetic and d"},"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":"2103.04937","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-03-08T17:53:57Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"873e42cf7557d7a4dc72b604b47b0aeaeede0d90320d79dd973cf99d63e282a3","abstract_canon_sha256":"04dbcd838657f19321d756b003defa507f7c62b8737e2c2a86455d45b2383d18"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:43:19.470159Z","signature_b64":"NR+kdr9KexIJXk6yX7/M+vrp5tpMaoVD7o9N5+kB1k++C3yO4FHtlejjIAC4M9lX9frxEbS+gT+7hMmZ03wlAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ceea03242f9a8b57951f36428cd53769ddd8c98ce81352c6be1f9869f52593b9","last_reissued_at":"2026-07-05T02:43:19.469766Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:43:19.469766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Christoph P. Hofmann","submitted_at":"2021-03-08T17:53:57Z","abstract_excerpt":"While it is known that the QCD vacuum in a magnetic background exhibits both diamagnetic and paramagnetic characteristics in the low-energy domain, a systematic investigation of the corresponding phases emerging in the pion-dominated regime is still lacking. Here, within two-flavor chiral perturbation theory, taking into account the pion-pion interaction, we analyze the subtle interplay between zero- and finite-temperature portions in the magnetization and magnetic susceptibility. The dependence of the magnetic susceptibility on temperature and magnetic field strength in the paramagnetic and d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.04937","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.04937/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2103.04937","created_at":"2026-07-05T02:43:19.469824+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.04937v1","created_at":"2026-07-05T02:43:19.469824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.04937","created_at":"2026-07-05T02:43:19.469824+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z3VAGJBPTKFV","created_at":"2026-07-05T02:43:19.469824+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z3VAGJBPTKFVPFI7","created_at":"2026-07-05T02:43:19.469824+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z3VAGJBP","created_at":"2026-07-05T02:43:19.469824+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2511.19255","citing_title":"Magnetic susceptibility of a hot hadronic medium and quark degrees of freedom near the QCD cross-over point","ref_index":60,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z3VAGJBPTKFVPFI7GZBIZVJXNH","json":"https://pith.science/pith/Z3VAGJBPTKFVPFI7GZBIZVJXNH.json","graph_json":"https://pith.science/api/pith-number/Z3VAGJBPTKFVPFI7GZBIZVJXNH/graph.json","events_json":"https://pith.science/api/pith-number/Z3VAGJBPTKFVPFI7GZBIZVJXNH/events.json","paper":"https://pith.science/paper/Z3VAGJBP"},"agent_actions":{"view_html":"https://pith.science/pith/Z3VAGJBPTKFVPFI7GZBIZVJXNH","download_json":"https://pith.science/pith/Z3VAGJBPTKFVPFI7GZBIZVJXNH.json","view_paper":"https://pith.science/paper/Z3VAGJBP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.04937&json=true","fetch_graph":"https://pith.science/api/pith-number/Z3VAGJBPTKFVPFI7GZBIZVJXNH/graph.json","fetch_events":"https://pith.science/api/pith-number/Z3VAGJBPTKFVPFI7GZBIZVJXNH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z3VAGJBPTKFVPFI7GZBIZVJXNH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z3VAGJBPTKFVPFI7GZBIZVJXNH/action/storage_attestation","attest_author":"https://pith.science/pith/Z3VAGJBPTKFVPFI7GZBIZVJXNH/action/author_attestation","sign_citation":"https://pith.science/pith/Z3VAGJBPTKFVPFI7GZBIZVJXNH/action/citation_signature","submit_replication":"https://pith.science/pith/Z3VAGJBPTKFVPFI7GZBIZVJXNH/action/replication_record"}},"created_at":"2026-07-05T02:43:19.469824+00:00","updated_at":"2026-07-05T02:43:19.469824+00:00"}