{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FETCQAANN6ZNMB723PLYI3OXWN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6b901c3a4722327bf6701a157c6d97a06e52f7bd898be54a7712b2e1590e1684","cross_cats_sorted":["hep-th","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-10T15:25:08Z","title_canon_sha256":"6569d8ed95bdb0d66144d5150a78cc49417ce091f227aef70d69d66a17994145"},"schema_version":"1.0","source":{"id":"2410.08028","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.08028","created_at":"2026-07-05T09:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"2410.08028v1","created_at":"2026-07-05T09:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.08028","created_at":"2026-07-05T09:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"FETCQAANN6ZN","created_at":"2026-07-05T09:18:47Z"},{"alias_kind":"pith_short_16","alias_value":"FETCQAANN6ZNMB72","created_at":"2026-07-05T09:18:47Z"},{"alias_kind":"pith_short_8","alias_value":"FETCQAAN","created_at":"2026-07-05T09:18:47Z"}],"graph_snapshots":[{"event_id":"sha256:5cb384bf4b54e6f134f6083ef7e2f9d8820a075f0d02580f6788f1d5d38b1efe","target":"graph","created_at":"2026-07-05T09:18:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.08028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We determine a full component of the space of stability conditions on $D^b(E^3)$ where $E$ is an elliptic curve without complex multiplication. The component has complex dimension 14 and a very concrete description in terms of alternating trilinear forms. This confirms a conjecture of Kontsevich, motivated by homological mirror symmetry, in the case of dimension $3$.","authors_text":"Benjamin Sung, Fabian Haiden","cross_cats":["hep-th","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-10T15:25:08Z","title":"The stability manifold of $E{\\times} E{\\times} E$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.08028","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2c764685305f628007d90af7d4376cc2e1580bb53e4df326313d982dd6c64916","target":"record","created_at":"2026-07-05T09:18:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6b901c3a4722327bf6701a157c6d97a06e52f7bd898be54a7712b2e1590e1684","cross_cats_sorted":["hep-th","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-10T15:25:08Z","title_canon_sha256":"6569d8ed95bdb0d66144d5150a78cc49417ce091f227aef70d69d66a17994145"},"schema_version":"1.0","source":{"id":"2410.08028","kind":"arxiv","version":1}},"canonical_sha256":"292628000d6fb2d607fadbd7846dd7b34246dfeaf6e460af03c0ff299d3b3c0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"292628000d6fb2d607fadbd7846dd7b34246dfeaf6e460af03c0ff299d3b3c0e","first_computed_at":"2026-07-05T09:18:47.591448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:18:47.591448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gpDJSFt+aoTmnYPJLp0J6v1T1FWCGL/SKdPZ/Jx7YEkF5OUvdUXcsirydT9OZA6nOthBZm/8Sp87b5hFmbghDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:18:47.591898Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.08028","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c764685305f628007d90af7d4376cc2e1580bb53e4df326313d982dd6c64916","sha256:5cb384bf4b54e6f134f6083ef7e2f9d8820a075f0d02580f6788f1d5d38b1efe"],"state_sha256":"aa5013909306b0b35807638cbd3af7622935a6e4d3d687850f1ec391f735c1c4"}