{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PYIDUMI4YG22BMMBJUT3RVEFXY","short_pith_number":"pith:PYIDUMI4","schema_version":"1.0","canonical_sha256":"7e103a311cc1b5a0b1814d27b8d485be13660d26fbe910d0f6d059946278a350","source":{"kind":"arxiv","id":"2607.10904","version":1},"attestation_state":"computed","paper":{"title":"Yang-Mills theory for multiplicative Ehresmann connections","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"\\v{Z}an Grad","submitted_at":"2026-07-12T20:18:48Z","abstract_excerpt":"We develop a twofold generalization of classical Yang-Mills theory, extending it from principal bundles to the setting of possibly non-transitive and non-integrable Lie algebroids. The classical theory is recovered when one considers the Atiyah algebroid of a principal bundle. In our framework, principal bundle connections are replaced by the more general notion of (infinitesimal) multiplicative Ehresmann connections. An action functional for such connections is constructed, now including a curvature 3-form contribution, alongside the usual curvature 2-form term, and the resulting variational "},"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":"2607.10904","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-07-12T20:18:48Z","cross_cats_sorted":[],"title_canon_sha256":"cd638ed2173e183107f4599c0fcfb5f042ef3a74a9155e59f8eae6f4d4bf12f4","abstract_canon_sha256":"608b31b6a5cf9e73496b89fca7e068d421d62fc10a42ab333a496e4cac7945b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-14T01:21:46.995610Z","signature_b64":"zmaylkHDIHkGJPcF3hB+mXrgP4hnQIs38R5oeCIfOsNJjq7OC7fywseD/4SAWihrO73u+XV93C/k5aYXUETCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e103a311cc1b5a0b1814d27b8d485be13660d26fbe910d0f6d059946278a350","last_reissued_at":"2026-07-14T01:21:46.994841Z","signature_status":"signed_v1","first_computed_at":"2026-07-14T01:21:46.994841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yang-Mills theory for multiplicative Ehresmann connections","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"\\v{Z}an Grad","submitted_at":"2026-07-12T20:18:48Z","abstract_excerpt":"We develop a twofold generalization of classical Yang-Mills theory, extending it from principal bundles to the setting of possibly non-transitive and non-integrable Lie algebroids. The classical theory is recovered when one considers the Atiyah algebroid of a principal bundle. In our framework, principal bundle connections are replaced by the more general notion of (infinitesimal) multiplicative Ehresmann connections. An action functional for such connections is constructed, now including a curvature 3-form contribution, alongside the usual curvature 2-form term, and the resulting variational "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.10904","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/2607.10904/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":"2607.10904","created_at":"2026-07-14T01:21:46.995244+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.10904v1","created_at":"2026-07-14T01:21:46.995244+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.10904","created_at":"2026-07-14T01:21:46.995244+00:00"},{"alias_kind":"pith_short_12","alias_value":"PYIDUMI4YG22","created_at":"2026-07-14T01:21:46.995244+00:00"},{"alias_kind":"pith_short_16","alias_value":"PYIDUMI4YG22BMMB","created_at":"2026-07-14T01:21:46.995244+00:00"},{"alias_kind":"pith_short_8","alias_value":"PYIDUMI4","created_at":"2026-07-14T01:21:46.995244+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/PYIDUMI4YG22BMMBJUT3RVEFXY","json":"https://pith.science/pith/PYIDUMI4YG22BMMBJUT3RVEFXY.json","graph_json":"https://pith.science/api/pith-number/PYIDUMI4YG22BMMBJUT3RVEFXY/graph.json","events_json":"https://pith.science/api/pith-number/PYIDUMI4YG22BMMBJUT3RVEFXY/events.json","paper":"https://pith.science/paper/PYIDUMI4"},"agent_actions":{"view_html":"https://pith.science/pith/PYIDUMI4YG22BMMBJUT3RVEFXY","download_json":"https://pith.science/pith/PYIDUMI4YG22BMMBJUT3RVEFXY.json","view_paper":"https://pith.science/paper/PYIDUMI4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.10904&json=true","fetch_graph":"https://pith.science/api/pith-number/PYIDUMI4YG22BMMBJUT3RVEFXY/graph.json","fetch_events":"https://pith.science/api/pith-number/PYIDUMI4YG22BMMBJUT3RVEFXY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PYIDUMI4YG22BMMBJUT3RVEFXY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PYIDUMI4YG22BMMBJUT3RVEFXY/action/storage_attestation","attest_author":"https://pith.science/pith/PYIDUMI4YG22BMMBJUT3RVEFXY/action/author_attestation","sign_citation":"https://pith.science/pith/PYIDUMI4YG22BMMBJUT3RVEFXY/action/citation_signature","submit_replication":"https://pith.science/pith/PYIDUMI4YG22BMMBJUT3RVEFXY/action/replication_record"}},"created_at":"2026-07-14T01:21:46.995244+00:00","updated_at":"2026-07-14T01:21:46.995244+00:00"}