{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PAEJDWJP7AIOZNUTY4OC6DHIF3","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":"91e93b1ec0e7baced404f7a13fa441c3d0ab9d0ecf0321060088f8ec0a70aaa8","cross_cats_sorted":["math.AG","math.CO","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-22T14:18:23Z","title_canon_sha256":"1b345a473a75e4f1aa1b43a6926a5f41a277a3379256493b760d8fca7919e6eb"},"schema_version":"1.0","source":{"id":"1108.4326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4326","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4326v1","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4326","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"pith_short_12","alias_value":"PAEJDWJP7AIO","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PAEJDWJP7AIOZNUT","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PAEJDWJP","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:8098001ee55bd8b206ed3bdee246dc6283fc08d1d4b52ecf09b5b99d934a746a","target":"graph","created_at":"2026-05-18T02:00:49Z","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"},"paper":{"abstract_excerpt":"We construct a statistical model that reproduces the BPS partition function of D4-D2-D0 bound states on a class of toric Calabi-Yau three-folds. The Calabi-Yau three-folds we consider are obtained by adding a compact two-cycle to $A_{N-1}$-ALE $\\times \\mathbb{C}$. We show that in the small radii limit of the Calabi-Yau the D4-D2-D0 partition function is correctly reproduced by counting the number of triangles and parallelograms.","authors_text":"Takahiro Nishinaka, Yutaka Yoshida","cross_cats":["math.AG","math.CO","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-22T14:18:23Z","title":"A note on statistical model for BPS D4-D2-D0 states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4326","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":"sha256:43987d4c317501fd93c11d268f28985fd6bdeacf5822df03586b8019101cf9de","target":"record","created_at":"2026-05-18T02:00:49Z","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":"91e93b1ec0e7baced404f7a13fa441c3d0ab9d0ecf0321060088f8ec0a70aaa8","cross_cats_sorted":["math.AG","math.CO","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-22T14:18:23Z","title_canon_sha256":"1b345a473a75e4f1aa1b43a6926a5f41a277a3379256493b760d8fca7919e6eb"},"schema_version":"1.0","source":{"id":"1108.4326","kind":"arxiv","version":1}},"canonical_sha256":"780891d92ff810ecb693c71c2f0ce82eff6660d3e685a3887eab3c5158d7c257","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"780891d92ff810ecb693c71c2f0ce82eff6660d3e685a3887eab3c5158d7c257","first_computed_at":"2026-05-18T02:00:49.835029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:49.835029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qxOloWEwIDeKYRm3kN83niFGnctKzr4eYb6HH1XQaT5AkpfQVMcJwvYjP4d1eDoJ+g61oyeURew6fR88G7IiBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:49.835576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43987d4c317501fd93c11d268f28985fd6bdeacf5822df03586b8019101cf9de","sha256:8098001ee55bd8b206ed3bdee246dc6283fc08d1d4b52ecf09b5b99d934a746a"],"state_sha256":"cc5e39070f9a1ff5b1c34d6bcfc39a62f5ac761e1fa2f6949f48a28e87be3383"}