{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:PKKWKH4DYMIS7P2LSPAAD6RRJR","short_pith_number":"pith:PKKWKH4D","schema_version":"1.0","canonical_sha256":"7a95651f83c3112fbf4b93c001fa314c50d8d38411a57cd27fc3c067f507f12c","source":{"kind":"arxiv","id":"1910.12981","version":3},"attestation_state":"computed","paper":{"title":"Non-integrability on AdS$_3$ supergravity backgrounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kostas Filippas","submitted_at":"2019-10-28T21:47:52Z","abstract_excerpt":"We investigate classical integrability on two recently discovered classes of backgrounds in massive IIA supergravity. These vacua are of the form AdS$_3\\times\\,$S$^2\\times\\mathbb{R}\\times\\,$CY$_2$, they preserve small $\\mathcal{N}=(0,4)$ supersymmetry and are associated with D8$-$D6$-$D4$-$D2 Hanany-Witten brane set-ups. We choose an appropriate string embedding and use differential Galois theory on its associated Hamiltonian system, intending to produce the conditions under which Liouvillian solutions may occur. By constraining the parameters of the system according to the consistency of the "},"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":"1910.12981","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-28T21:47:52Z","cross_cats_sorted":[],"title_canon_sha256":"7e62f42c995a1ca2e482cb312cf0bab3eb5ebb7b755bd9c0ecdc3862fce0796a","abstract_canon_sha256":"03aaa75622b421ca8fc77e322f8b4306473db60711234d47b9e994b3af691e2e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:48:47.930732Z","signature_b64":"KwKodmGwyxy4ybZL4n75FEU9kXxlsLMYvyqTI5ehOr+Hc37dqctNRGPl5yCO/YjnSHCORuvTP++X37sJR8xKDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a95651f83c3112fbf4b93c001fa314c50d8d38411a57cd27fc3c067f507f12c","last_reissued_at":"2026-07-05T00:48:47.930265Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:48:47.930265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-integrability on AdS$_3$ supergravity backgrounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kostas Filippas","submitted_at":"2019-10-28T21:47:52Z","abstract_excerpt":"We investigate classical integrability on two recently discovered classes of backgrounds in massive IIA supergravity. These vacua are of the form AdS$_3\\times\\,$S$^2\\times\\mathbb{R}\\times\\,$CY$_2$, they preserve small $\\mathcal{N}=(0,4)$ supersymmetry and are associated with D8$-$D6$-$D4$-$D2 Hanany-Witten brane set-ups. We choose an appropriate string embedding and use differential Galois theory on its associated Hamiltonian system, intending to produce the conditions under which Liouvillian solutions may occur. By constraining the parameters of the system according to the consistency of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.12981","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/1910.12981/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":"1910.12981","created_at":"2026-07-05T00:48:47.930347+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.12981v3","created_at":"2026-07-05T00:48:47.930347+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.12981","created_at":"2026-07-05T00:48:47.930347+00:00"},{"alias_kind":"pith_short_12","alias_value":"PKKWKH4DYMIS","created_at":"2026-07-05T00:48:47.930347+00:00"},{"alias_kind":"pith_short_16","alias_value":"PKKWKH4DYMIS7P2L","created_at":"2026-07-05T00:48:47.930347+00:00"},{"alias_kind":"pith_short_8","alias_value":"PKKWKH4D","created_at":"2026-07-05T00:48:47.930347+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.12257","citing_title":"Evidence for a $4$-dimensional $\\mathcal{N}=1$ integrable quiver in massive type IIA","ref_index":43,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PKKWKH4DYMIS7P2LSPAAD6RRJR","json":"https://pith.science/pith/PKKWKH4DYMIS7P2LSPAAD6RRJR.json","graph_json":"https://pith.science/api/pith-number/PKKWKH4DYMIS7P2LSPAAD6RRJR/graph.json","events_json":"https://pith.science/api/pith-number/PKKWKH4DYMIS7P2LSPAAD6RRJR/events.json","paper":"https://pith.science/paper/PKKWKH4D"},"agent_actions":{"view_html":"https://pith.science/pith/PKKWKH4DYMIS7P2LSPAAD6RRJR","download_json":"https://pith.science/pith/PKKWKH4DYMIS7P2LSPAAD6RRJR.json","view_paper":"https://pith.science/paper/PKKWKH4D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.12981&json=true","fetch_graph":"https://pith.science/api/pith-number/PKKWKH4DYMIS7P2LSPAAD6RRJR/graph.json","fetch_events":"https://pith.science/api/pith-number/PKKWKH4DYMIS7P2LSPAAD6RRJR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PKKWKH4DYMIS7P2LSPAAD6RRJR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PKKWKH4DYMIS7P2LSPAAD6RRJR/action/storage_attestation","attest_author":"https://pith.science/pith/PKKWKH4DYMIS7P2LSPAAD6RRJR/action/author_attestation","sign_citation":"https://pith.science/pith/PKKWKH4DYMIS7P2LSPAAD6RRJR/action/citation_signature","submit_replication":"https://pith.science/pith/PKKWKH4DYMIS7P2LSPAAD6RRJR/action/replication_record"}},"created_at":"2026-07-05T00:48:47.930347+00:00","updated_at":"2026-07-05T00:48:47.930347+00:00"}