{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:UCZOLU2UM5Z6W3PZ3Q4A2GUJAW","short_pith_number":"pith:UCZOLU2U","schema_version":"1.0","canonical_sha256":"a0b2e5d3546773eb6df9dc380d1a89058f44ca3c1253ced7f92dcdba248431e0","source":{"kind":"arxiv","id":"0903.3966","version":3},"attestation_state":"computed","paper":{"title":"The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Constantinos Papageorgakis, Horatiu Nastase, Sanjaye Ramgoolam","submitted_at":"2009-03-23T21:09:24Z","abstract_excerpt":"We analyse the fluctuations of the ground-state/funnel solutions proposed to describe M2-M5 systems in the level-k mass-deformed/pure Chern-Simons-matter ABJM theory of multiple membranes. We show that in the large N limit the fluctuations approach the space of functions on the 2-sphere rather than the naively expected 3-sphere. This is a novel realisation of the fuzzy 2-sphere in the context of Matrix Theories, which uses bifundamental instead of adjoint scalars. Starting from the multiple M2-brane action, a U(1) Yang-Mills theory on R^{2,1} x S^2 is recovered at large N, which is consistent "},"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":"0903.3966","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-03-23T21:09:24Z","cross_cats_sorted":[],"title_canon_sha256":"26bbe0908876488c4423abc00939c9fb5ebcea31598a7e93b9ecf18c6d58cd07","abstract_canon_sha256":"201f367905c149b33e342383189295fa6dac0ef019f9303957e7a97034ae909b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:49:11.984360Z","signature_b64":"l8wBcHBqbc808HfDVziCsbkF/bcvkmM6pLawGZGVQsplLHG8HTdZELBXJxRRCElVnHPkAAPNs0Psl+iqV45aAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0b2e5d3546773eb6df9dc380d1a89058f44ca3c1253ced7f92dcdba248431e0","last_reissued_at":"2026-07-04T15:49:11.983935Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:49:11.983935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Constantinos Papageorgakis, Horatiu Nastase, Sanjaye Ramgoolam","submitted_at":"2009-03-23T21:09:24Z","abstract_excerpt":"We analyse the fluctuations of the ground-state/funnel solutions proposed to describe M2-M5 systems in the level-k mass-deformed/pure Chern-Simons-matter ABJM theory of multiple membranes. We show that in the large N limit the fluctuations approach the space of functions on the 2-sphere rather than the naively expected 3-sphere. This is a novel realisation of the fuzzy 2-sphere in the context of Matrix Theories, which uses bifundamental instead of adjoint scalars. Starting from the multiple M2-brane action, a U(1) Yang-Mills theory on R^{2,1} x S^2 is recovered at large N, which is consistent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.3966","kind":"arxiv","version":3},"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/0903.3966/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":"0903.3966","created_at":"2026-07-04T15:49:11.983996+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.3966v3","created_at":"2026-07-04T15:49:11.983996+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.3966","created_at":"2026-07-04T15:49:11.983996+00:00"},{"alias_kind":"pith_short_12","alias_value":"UCZOLU2UM5Z6","created_at":"2026-07-04T15:49:11.983996+00:00"},{"alias_kind":"pith_short_16","alias_value":"UCZOLU2UM5Z6W3PZ","created_at":"2026-07-04T15:49:11.983996+00:00"},{"alias_kind":"pith_short_8","alias_value":"UCZOLU2U","created_at":"2026-07-04T15:49:11.983996+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.17479","citing_title":"The spectrum of defect ABJM theory","ref_index":49,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW","json":"https://pith.science/pith/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW.json","graph_json":"https://pith.science/api/pith-number/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW/graph.json","events_json":"https://pith.science/api/pith-number/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW/events.json","paper":"https://pith.science/paper/UCZOLU2U"},"agent_actions":{"view_html":"https://pith.science/pith/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW","download_json":"https://pith.science/pith/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW.json","view_paper":"https://pith.science/paper/UCZOLU2U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.3966&json=true","fetch_graph":"https://pith.science/api/pith-number/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW/graph.json","fetch_events":"https://pith.science/api/pith-number/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW/action/storage_attestation","attest_author":"https://pith.science/pith/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW/action/author_attestation","sign_citation":"https://pith.science/pith/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW/action/citation_signature","submit_replication":"https://pith.science/pith/UCZOLU2UM5Z6W3PZ3Q4A2GUJAW/action/replication_record"}},"created_at":"2026-07-04T15:49:11.983996+00:00","updated_at":"2026-07-04T15:49:11.983996+00:00"}