{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:IDH76RARXG2EF7VB522NQU2NET","short_pith_number":"pith:IDH76RAR","schema_version":"1.0","canonical_sha256":"40cfff4411b9b442fea1eeb4d8534d24ca8684ac25b7d0871ce5e104176a22bf","source":{"kind":"arxiv","id":"1608.06773","version":1},"attestation_state":"computed","paper":{"title":"Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"N.O. Agasian","submitted_at":"2016-08-24T10:30:12Z","abstract_excerpt":"A treatment is given of the nonperturbative QCD vacuum in a magnetic field. The low-energy equation for the trace of the energy-momentum tensor in a magnetic field is derived. It is shown that the derivatives with respect to a magnetic field of the quark and gluon contributions to the trace of the energy-momentum tensor are equal. The dependence of the gluon condensate on the magnetic field strength is derived both for strong and weak fields."},"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":"1608.06773","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-08-24T10:30:12Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"a226fe1089ac0cdf859d637a42d63a5f1d3ed113fc39df2e50880042827fcdab","abstract_canon_sha256":"bb27e41311b3fdff4d441c6bbc09b61f1c6c5273cfffd8ffc82ca735eb1fc79f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:43.813142Z","signature_b64":"Z2tztNGZYQRUoGUhpye+TNTK9zM1UNS/++N34eQvA2kO/+prt4UoAh+YK/OrntX3L24BXdKHXimtJgBv5ZkqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40cfff4411b9b442fea1eeb4d8534d24ca8684ac25b7d0871ce5e104176a22bf","last_reissued_at":"2026-05-18T00:57:43.812696Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:43.812696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"N.O. Agasian","submitted_at":"2016-08-24T10:30:12Z","abstract_excerpt":"A treatment is given of the nonperturbative QCD vacuum in a magnetic field. The low-energy equation for the trace of the energy-momentum tensor in a magnetic field is derived. It is shown that the derivatives with respect to a magnetic field of the quark and gluon contributions to the trace of the energy-momentum tensor are equal. The dependence of the gluon condensate on the magnetic field strength is derived both for strong and weak fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06773","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":"1608.06773","created_at":"2026-05-18T00:57:43.812758+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.06773v1","created_at":"2026-05-18T00:57:43.812758+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06773","created_at":"2026-05-18T00:57:43.812758+00:00"},{"alias_kind":"pith_short_12","alias_value":"IDH76RARXG2E","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"IDH76RARXG2EF7VB","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"IDH76RAR","created_at":"2026-05-18T12:30:22.444734+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/IDH76RARXG2EF7VB522NQU2NET","json":"https://pith.science/pith/IDH76RARXG2EF7VB522NQU2NET.json","graph_json":"https://pith.science/api/pith-number/IDH76RARXG2EF7VB522NQU2NET/graph.json","events_json":"https://pith.science/api/pith-number/IDH76RARXG2EF7VB522NQU2NET/events.json","paper":"https://pith.science/paper/IDH76RAR"},"agent_actions":{"view_html":"https://pith.science/pith/IDH76RARXG2EF7VB522NQU2NET","download_json":"https://pith.science/pith/IDH76RARXG2EF7VB522NQU2NET.json","view_paper":"https://pith.science/paper/IDH76RAR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.06773&json=true","fetch_graph":"https://pith.science/api/pith-number/IDH76RARXG2EF7VB522NQU2NET/graph.json","fetch_events":"https://pith.science/api/pith-number/IDH76RARXG2EF7VB522NQU2NET/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IDH76RARXG2EF7VB522NQU2NET/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IDH76RARXG2EF7VB522NQU2NET/action/storage_attestation","attest_author":"https://pith.science/pith/IDH76RARXG2EF7VB522NQU2NET/action/author_attestation","sign_citation":"https://pith.science/pith/IDH76RARXG2EF7VB522NQU2NET/action/citation_signature","submit_replication":"https://pith.science/pith/IDH76RARXG2EF7VB522NQU2NET/action/replication_record"}},"created_at":"2026-05-18T00:57:43.812758+00:00","updated_at":"2026-05-18T00:57:43.812758+00:00"}