{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BYM2MLV3TSDOL6SR4AZIM5SX26","short_pith_number":"pith:BYM2MLV3","schema_version":"1.0","canonical_sha256":"0e19a62ebb9c86e5fa51e032867657d7876674f9f4be7b5651bcb8ffd24f0b3b","source":{"kind":"arxiv","id":"1606.02693","version":1},"attestation_state":"computed","paper":{"title":"Algebraicity and Asymptotics: An explosion of BPS indices from algebraic generating series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Tom Mainiero","submitted_at":"2016-06-08T19:23:15Z","abstract_excerpt":"It is an observation of Kontsevich and Soibelman that generating series that produce certain (generalized) Donaldson Thomas invariants are secretly algebraic functions over the rationals. From a physical perspective this observation arises naturally for DT invariants that appear as BPS indices in theories of class S[A]: explicit algebraic equations (that completely determine these series) can be derived using (degenerate) spectral networks. In this paper, we conjecture an algebraic equation associated to DT invariants for the Kronecker 3-quiver with dimension vectors (3n,2n), n>0 in the non-tr"},"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":"1606.02693","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-08T19:23:15Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"eb28608cfde8fc1cb23d89fd979080d7c32d77a58ef08f6fae015764cc164ba9","abstract_canon_sha256":"ccf66196cc9ab981231654ab75ca67654d21d01b41b1c95c87339ccd5059e632"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:40.841424Z","signature_b64":"Xb3/VJGXPODyPl6UCTy5BLJTLgpnkySDV2M81+CxOGUAZLnc38F7Grx4UBlHC8bk+VFUM1LCYNh2xIbh4yjEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e19a62ebb9c86e5fa51e032867657d7876674f9f4be7b5651bcb8ffd24f0b3b","last_reissued_at":"2026-05-18T01:12:40.841066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:40.841066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraicity and Asymptotics: An explosion of BPS indices from algebraic generating series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Tom Mainiero","submitted_at":"2016-06-08T19:23:15Z","abstract_excerpt":"It is an observation of Kontsevich and Soibelman that generating series that produce certain (generalized) Donaldson Thomas invariants are secretly algebraic functions over the rationals. From a physical perspective this observation arises naturally for DT invariants that appear as BPS indices in theories of class S[A]: explicit algebraic equations (that completely determine these series) can be derived using (degenerate) spectral networks. In this paper, we conjecture an algebraic equation associated to DT invariants for the Kronecker 3-quiver with dimension vectors (3n,2n), n>0 in the non-tr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02693","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":""},"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":"1606.02693","created_at":"2026-05-18T01:12:40.841127+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.02693v1","created_at":"2026-05-18T01:12:40.841127+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02693","created_at":"2026-05-18T01:12:40.841127+00:00"},{"alias_kind":"pith_short_12","alias_value":"BYM2MLV3TSDO","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"BYM2MLV3TSDOL6SR","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"BYM2MLV3","created_at":"2026-05-18T12:30:09.641336+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2410.07913","citing_title":"Motives of central slope Kronecker moduli","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BYM2MLV3TSDOL6SR4AZIM5SX26","json":"https://pith.science/pith/BYM2MLV3TSDOL6SR4AZIM5SX26.json","graph_json":"https://pith.science/api/pith-number/BYM2MLV3TSDOL6SR4AZIM5SX26/graph.json","events_json":"https://pith.science/api/pith-number/BYM2MLV3TSDOL6SR4AZIM5SX26/events.json","paper":"https://pith.science/paper/BYM2MLV3"},"agent_actions":{"view_html":"https://pith.science/pith/BYM2MLV3TSDOL6SR4AZIM5SX26","download_json":"https://pith.science/pith/BYM2MLV3TSDOL6SR4AZIM5SX26.json","view_paper":"https://pith.science/paper/BYM2MLV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.02693&json=true","fetch_graph":"https://pith.science/api/pith-number/BYM2MLV3TSDOL6SR4AZIM5SX26/graph.json","fetch_events":"https://pith.science/api/pith-number/BYM2MLV3TSDOL6SR4AZIM5SX26/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BYM2MLV3TSDOL6SR4AZIM5SX26/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BYM2MLV3TSDOL6SR4AZIM5SX26/action/storage_attestation","attest_author":"https://pith.science/pith/BYM2MLV3TSDOL6SR4AZIM5SX26/action/author_attestation","sign_citation":"https://pith.science/pith/BYM2MLV3TSDOL6SR4AZIM5SX26/action/citation_signature","submit_replication":"https://pith.science/pith/BYM2MLV3TSDOL6SR4AZIM5SX26/action/replication_record"}},"created_at":"2026-05-18T01:12:40.841127+00:00","updated_at":"2026-05-18T01:12:40.841127+00:00"}