{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:T6VJUA2TEBPYPAWRODBIMG5RAQ","short_pith_number":"pith:T6VJUA2T","canonical_record":{"source":{"id":"2502.17236","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-24T15:13:51Z","cross_cats_sorted":[],"title_canon_sha256":"210e805b6052d95e91c7bd3e02d2f98a037614c6c1ce6eb2eebd4e2c637cad9f","abstract_canon_sha256":"172d099ec94dd6fe69507feda420c6589a291f75fd45f06b28ce7611ca9cbca4"},"schema_version":"1.0"},"canonical_sha256":"9faa9a0353205f8782d170c2861bb104317fab55e03aaf6563c79bf6b0632062","source":{"kind":"arxiv","id":"2502.17236","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.17236","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"arxiv_version","alias_value":"2502.17236v3","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.17236","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"pith_short_12","alias_value":"T6VJUA2TEBPY","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"pith_short_16","alias_value":"T6VJUA2TEBPYPAWR","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"pith_short_8","alias_value":"T6VJUA2T","created_at":"2026-05-20T14:03:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:T6VJUA2TEBPYPAWRODBIMG5RAQ","target":"record","payload":{"canonical_record":{"source":{"id":"2502.17236","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-24T15:13:51Z","cross_cats_sorted":[],"title_canon_sha256":"210e805b6052d95e91c7bd3e02d2f98a037614c6c1ce6eb2eebd4e2c637cad9f","abstract_canon_sha256":"172d099ec94dd6fe69507feda420c6589a291f75fd45f06b28ce7611ca9cbca4"},"schema_version":"1.0"},"canonical_sha256":"9faa9a0353205f8782d170c2861bb104317fab55e03aaf6563c79bf6b0632062","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T14:03:18.450796Z","signature_b64":"fHhmQXoecRpJJ9w8lIchcf8XZb2oYDoQxhmd9KjeRe3V/ewLPj+eqFZXz9FZI1ZcCJsiIWRrcbd/2ws2imSSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9faa9a0353205f8782d170c2861bb104317fab55e03aaf6563c79bf6b0632062","last_reissued_at":"2026-05-20T14:03:18.450359Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T14:03:18.450359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.17236","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T14:03:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mLiQ5nQiN+OHCP5o2qtZUy/s7FqAUYOnsOgorCekgTiN1Qn3iNpg1UF+pQbHLoXio+CmqdnbuMA1DAKiagRgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:12:41.358018Z"},"content_sha256":"9e94c66fba9b1cc3f6c99df9895da0d6e8c166ee1c2c886515aedbcd4a0742f6","schema_version":"1.0","event_id":"sha256:9e94c66fba9b1cc3f6c99df9895da0d6e8c166ee1c2c886515aedbcd4a0742f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:T6VJUA2TEBPYPAWRODBIMG5RAQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Refined curve counting with descendants and quantum mirrors","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ajith Urundolil Kumaran, Patrick Kennedy-Hunt, Qaasim Shafi","submitted_at":"2025-02-24T15:13:51Z","abstract_excerpt":"Given a log Calabi--Yau surface $(Y,D)$, Bousseau has constructed a quantization of the mirror algebra of this pair. We give a formula for structure constants of this quantization in terms of higher genus descendant logarithmic Gromov--Witten invariants of $(Y,D)$. Our result generalises the weak Frobenius structure conjecture for surfaces to the $q$-refined setting, and is proved by relating these invariants to counts of quantum broken lines in the associated quantum scattering diagram."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.17236","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/2502.17236/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T14:03:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kiMvV1v+M4PNIn55bwkVjIlXIi7R8CDb8R814kk8bhGrGiOXYrxF36dGH7ImXwNUk3dG00bqFYp2XGgiQadKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:12:41.358721Z"},"content_sha256":"755f966a301399af9fe6d05a50dae4300c322523984a698942c2c3b3fa74ac6f","schema_version":"1.0","event_id":"sha256:755f966a301399af9fe6d05a50dae4300c322523984a698942c2c3b3fa74ac6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T6VJUA2TEBPYPAWRODBIMG5RAQ/bundle.json","state_url":"https://pith.science/pith/T6VJUA2TEBPYPAWRODBIMG5RAQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T6VJUA2TEBPYPAWRODBIMG5RAQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T05:12:41Z","links":{"resolver":"https://pith.science/pith/T6VJUA2TEBPYPAWRODBIMG5RAQ","bundle":"https://pith.science/pith/T6VJUA2TEBPYPAWRODBIMG5RAQ/bundle.json","state":"https://pith.science/pith/T6VJUA2TEBPYPAWRODBIMG5RAQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T6VJUA2TEBPYPAWRODBIMG5RAQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:T6VJUA2TEBPYPAWRODBIMG5RAQ","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":"172d099ec94dd6fe69507feda420c6589a291f75fd45f06b28ce7611ca9cbca4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-24T15:13:51Z","title_canon_sha256":"210e805b6052d95e91c7bd3e02d2f98a037614c6c1ce6eb2eebd4e2c637cad9f"},"schema_version":"1.0","source":{"id":"2502.17236","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.17236","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"arxiv_version","alias_value":"2502.17236v3","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.17236","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"pith_short_12","alias_value":"T6VJUA2TEBPY","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"pith_short_16","alias_value":"T6VJUA2TEBPYPAWR","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"pith_short_8","alias_value":"T6VJUA2T","created_at":"2026-05-20T14:03:18Z"}],"graph_snapshots":[{"event_id":"sha256:755f966a301399af9fe6d05a50dae4300c322523984a698942c2c3b3fa74ac6f","target":"graph","created_at":"2026-05-20T14:03:18Z","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/2502.17236/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a log Calabi--Yau surface $(Y,D)$, Bousseau has constructed a quantization of the mirror algebra of this pair. We give a formula for structure constants of this quantization in terms of higher genus descendant logarithmic Gromov--Witten invariants of $(Y,D)$. Our result generalises the weak Frobenius structure conjecture for surfaces to the $q$-refined setting, and is proved by relating these invariants to counts of quantum broken lines in the associated quantum scattering diagram.","authors_text":"Ajith Urundolil Kumaran, Patrick Kennedy-Hunt, Qaasim Shafi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-24T15:13:51Z","title":"Refined curve counting with descendants and quantum mirrors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.17236","kind":"arxiv","version":3},"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":"sha256:9e94c66fba9b1cc3f6c99df9895da0d6e8c166ee1c2c886515aedbcd4a0742f6","target":"record","created_at":"2026-05-20T14:03:18Z","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":"172d099ec94dd6fe69507feda420c6589a291f75fd45f06b28ce7611ca9cbca4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-24T15:13:51Z","title_canon_sha256":"210e805b6052d95e91c7bd3e02d2f98a037614c6c1ce6eb2eebd4e2c637cad9f"},"schema_version":"1.0","source":{"id":"2502.17236","kind":"arxiv","version":3}},"canonical_sha256":"9faa9a0353205f8782d170c2861bb104317fab55e03aaf6563c79bf6b0632062","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9faa9a0353205f8782d170c2861bb104317fab55e03aaf6563c79bf6b0632062","first_computed_at":"2026-05-20T14:03:18.450359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T14:03:18.450359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fHhmQXoecRpJJ9w8lIchcf8XZb2oYDoQxhmd9KjeRe3V/ewLPj+eqFZXz9FZI1ZcCJsiIWRrcbd/2ws2imSSBw==","signature_status":"signed_v1","signed_at":"2026-05-20T14:03:18.450796Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.17236","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e94c66fba9b1cc3f6c99df9895da0d6e8c166ee1c2c886515aedbcd4a0742f6","sha256:755f966a301399af9fe6d05a50dae4300c322523984a698942c2c3b3fa74ac6f"],"state_sha256":"9c1059b801e87d379966a855288cdf176e2bf1669d6399fc0c5c91296696dee3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LmSg7fKq+DeHWISQ1WjrcpvWT5mecLTd/IrkMTrzEEmnjsJv1Z7VNaDCF3tyBjpRDgk0161hUB31S/hGAY9xDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T05:12:41.362134Z","bundle_sha256":"d5ec01937bdd4d6d20e02ad2643a715c56a35af60e35099a81c22388a94772ab"}}