{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:P7L3QYTU5S72ZGRRJCEQPHVHGL","short_pith_number":"pith:P7L3QYTU","schema_version":"1.0","canonical_sha256":"7fd7b86274ecbfac9a314889079ea732c8fa405e2ae8805a1694329fc39929c9","source":{"kind":"arxiv","id":"math-ph/0107027","version":1},"attestation_state":"computed","paper":{"title":"Yang-Mills fields as optical media","license":"","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"A. L. Barbosa, R. Aldrovandi","submitted_at":"2001-07-27T12:55:40Z","abstract_excerpt":"A geometrization of the Yang-Mills field, by which an SU(2) gauge theory becomes equivalent to a 3-space geometry - or optical system - is examined. In a first step, ambient space remains Euclidean and current problems on flat space can be looked at from a new point of view. The Wu-Yang ambiguity, for example, appears related to the multiple possible torsions of distinct metric-preserving connections. In a second step, also the ambient space becomes curved. In general, the strictly Riemannian, metric sector plays the role of an arbitrary host space, with the gauge field represented by a contor"},"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":"math-ph/0107027","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2001-07-27T12:55:40Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"b87ab94e1fd5ffe1d503ac04fd4beb795e00cbe9a37da11547f28aee657bc053","abstract_canon_sha256":"94debf5b916bc7167b1e84c20f9667f521460056260bd50f587ec16d9d171a4f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:32.065677Z","signature_b64":"e67K9L8O61HT7sITQdT8JiD6BEqzjA/OwfKHAvh5EDtOJQmiQymxYNdWbxf++byJtH+Im8qMNxZWvBxslvT/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fd7b86274ecbfac9a314889079ea732c8fa405e2ae8805a1694329fc39929c9","last_reissued_at":"2026-05-18T01:05:32.065073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:32.065073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yang-Mills fields as optical media","license":"","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"A. L. Barbosa, R. Aldrovandi","submitted_at":"2001-07-27T12:55:40Z","abstract_excerpt":"A geometrization of the Yang-Mills field, by which an SU(2) gauge theory becomes equivalent to a 3-space geometry - or optical system - is examined. In a first step, ambient space remains Euclidean and current problems on flat space can be looked at from a new point of view. The Wu-Yang ambiguity, for example, appears related to the multiple possible torsions of distinct metric-preserving connections. In a second step, also the ambient space becomes curved. In general, the strictly Riemannian, metric sector plays the role of an arbitrary host space, with the gauge field represented by a contor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0107027","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":"math-ph/0107027","created_at":"2026-05-18T01:05:32.065179+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0107027v1","created_at":"2026-05-18T01:05:32.065179+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0107027","created_at":"2026-05-18T01:05:32.065179+00:00"},{"alias_kind":"pith_short_12","alias_value":"P7L3QYTU5S72","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"P7L3QYTU5S72ZGRR","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"P7L3QYTU","created_at":"2026-05-18T12:25:50.845339+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/P7L3QYTU5S72ZGRRJCEQPHVHGL","json":"https://pith.science/pith/P7L3QYTU5S72ZGRRJCEQPHVHGL.json","graph_json":"https://pith.science/api/pith-number/P7L3QYTU5S72ZGRRJCEQPHVHGL/graph.json","events_json":"https://pith.science/api/pith-number/P7L3QYTU5S72ZGRRJCEQPHVHGL/events.json","paper":"https://pith.science/paper/P7L3QYTU"},"agent_actions":{"view_html":"https://pith.science/pith/P7L3QYTU5S72ZGRRJCEQPHVHGL","download_json":"https://pith.science/pith/P7L3QYTU5S72ZGRRJCEQPHVHGL.json","view_paper":"https://pith.science/paper/P7L3QYTU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0107027&json=true","fetch_graph":"https://pith.science/api/pith-number/P7L3QYTU5S72ZGRRJCEQPHVHGL/graph.json","fetch_events":"https://pith.science/api/pith-number/P7L3QYTU5S72ZGRRJCEQPHVHGL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P7L3QYTU5S72ZGRRJCEQPHVHGL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P7L3QYTU5S72ZGRRJCEQPHVHGL/action/storage_attestation","attest_author":"https://pith.science/pith/P7L3QYTU5S72ZGRRJCEQPHVHGL/action/author_attestation","sign_citation":"https://pith.science/pith/P7L3QYTU5S72ZGRRJCEQPHVHGL/action/citation_signature","submit_replication":"https://pith.science/pith/P7L3QYTU5S72ZGRRJCEQPHVHGL/action/replication_record"}},"created_at":"2026-05-18T01:05:32.065179+00:00","updated_at":"2026-05-18T01:05:32.065179+00:00"}