{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Z6GP6GDVSKQKDNTGMQSLAYBW63","short_pith_number":"pith:Z6GP6GDV","schema_version":"1.0","canonical_sha256":"cf8cff187592a0a1b6666424b06036f6e7a500a098d6dbd98a8bc3114bfe3fca","source":{"kind":"arxiv","id":"1612.00327","version":2},"attestation_state":"computed","paper":{"title":"Hadronic matter under an external magnetic field: in medium modification of the pion mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"R. Aguirre","submitted_at":"2016-12-01T15:59:38Z","abstract_excerpt":"The covariant propagator of a fermion with intrinsic magnetic moment interacting with a uniform external magnetic field is presented for finite temperature and baryonic density. The case of a scalar boson is also considered. The final expressions are given in terms of a four-dimensional momentum representation. These results, which take account of the full effect of the magnetic field, are used to evaluate the modification of the pion mass at zero temperature as a function of the density and the magnetic intensity. For this purpose a self-consistent calculation, including one- and two-pion ver"},"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":"1612.00327","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-12-01T15:59:38Z","cross_cats_sorted":[],"title_canon_sha256":"d615178f30ff06d475c3d40330fa5c987c9f8d9c7536ea3db5b684e300eaddd9","abstract_canon_sha256":"1f71be7ff6ee22ce40463d53e9a841d437008024a199b3c22b7f110d68d2c0a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:06.310065Z","signature_b64":"PskFN0u5URCodN0JXrCEMrdS9znpEQ6C5KL8ALF96RQVTiwuXl/P0u/9mTS0ZxuQGVZEmQ0+tWlixbuTsMNuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf8cff187592a0a1b6666424b06036f6e7a500a098d6dbd98a8bc3114bfe3fca","last_reissued_at":"2026-05-18T00:45:06.309733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:06.309733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hadronic matter under an external magnetic field: in medium modification of the pion mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"R. Aguirre","submitted_at":"2016-12-01T15:59:38Z","abstract_excerpt":"The covariant propagator of a fermion with intrinsic magnetic moment interacting with a uniform external magnetic field is presented for finite temperature and baryonic density. The case of a scalar boson is also considered. The final expressions are given in terms of a four-dimensional momentum representation. These results, which take account of the full effect of the magnetic field, are used to evaluate the modification of the pion mass at zero temperature as a function of the density and the magnetic intensity. For this purpose a self-consistent calculation, including one- and two-pion ver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00327","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":"1612.00327","created_at":"2026-05-18T00:45:06.309789+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.00327v2","created_at":"2026-05-18T00:45:06.309789+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00327","created_at":"2026-05-18T00:45:06.309789+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z6GP6GDVSKQK","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z6GP6GDVSKQKDNTG","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z6GP6GDV","created_at":"2026-05-18T12:30:53.716459+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.03990","citing_title":"Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model","ref_index":89,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z6GP6GDVSKQKDNTGMQSLAYBW63","json":"https://pith.science/pith/Z6GP6GDVSKQKDNTGMQSLAYBW63.json","graph_json":"https://pith.science/api/pith-number/Z6GP6GDVSKQKDNTGMQSLAYBW63/graph.json","events_json":"https://pith.science/api/pith-number/Z6GP6GDVSKQKDNTGMQSLAYBW63/events.json","paper":"https://pith.science/paper/Z6GP6GDV"},"agent_actions":{"view_html":"https://pith.science/pith/Z6GP6GDVSKQKDNTGMQSLAYBW63","download_json":"https://pith.science/pith/Z6GP6GDVSKQKDNTGMQSLAYBW63.json","view_paper":"https://pith.science/paper/Z6GP6GDV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.00327&json=true","fetch_graph":"https://pith.science/api/pith-number/Z6GP6GDVSKQKDNTGMQSLAYBW63/graph.json","fetch_events":"https://pith.science/api/pith-number/Z6GP6GDVSKQKDNTGMQSLAYBW63/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z6GP6GDVSKQKDNTGMQSLAYBW63/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z6GP6GDVSKQKDNTGMQSLAYBW63/action/storage_attestation","attest_author":"https://pith.science/pith/Z6GP6GDVSKQKDNTGMQSLAYBW63/action/author_attestation","sign_citation":"https://pith.science/pith/Z6GP6GDVSKQKDNTGMQSLAYBW63/action/citation_signature","submit_replication":"https://pith.science/pith/Z6GP6GDVSKQKDNTGMQSLAYBW63/action/replication_record"}},"created_at":"2026-05-18T00:45:06.309789+00:00","updated_at":"2026-05-18T00:45:06.309789+00:00"}