{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZAPM6HGLJBOUZQIDZP2VYX44OM","short_pith_number":"pith:ZAPM6HGL","canonical_record":{"source":{"id":"2503.21762","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-27T17:57:37Z","cross_cats_sorted":["math-ph","math.MP","math.SP"],"title_canon_sha256":"5e0db03d86ff820b76abed2c0a599ebb3635edaaceb7b8e552ea620bff467e2b","abstract_canon_sha256":"c6e4d6006ffd44cdfae8e9617cad865036ffaafd244554ae7d04c88d371c9a13"},"schema_version":"1.0"},"canonical_sha256":"c81ecf1ccb485d4cc103cbf55c5f9c7327b65421f6e97086a210dc576dd0716d","source":{"kind":"arxiv","id":"2503.21762","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.21762","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"2503.21762v3","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.21762","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"ZAPM6HGLJBOU","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"pith_short_16","alias_value":"ZAPM6HGLJBOUZQID","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"pith_short_8","alias_value":"ZAPM6HGL","created_at":"2026-06-09T01:05:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZAPM6HGLJBOUZQIDZP2VYX44OM","target":"record","payload":{"canonical_record":{"source":{"id":"2503.21762","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-27T17:57:37Z","cross_cats_sorted":["math-ph","math.MP","math.SP"],"title_canon_sha256":"5e0db03d86ff820b76abed2c0a599ebb3635edaaceb7b8e552ea620bff467e2b","abstract_canon_sha256":"c6e4d6006ffd44cdfae8e9617cad865036ffaafd244554ae7d04c88d371c9a13"},"schema_version":"1.0"},"canonical_sha256":"c81ecf1ccb485d4cc103cbf55c5f9c7327b65421f6e97086a210dc576dd0716d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T01:05:05.990999Z","signature_b64":"IzjBrsyBm7cuV9jezJR0lsXAihpk+T136/w8tb624I2AtOsV88NQcf1b+2MOeDn43IUmHUpY8QiYUjpsDvv1DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c81ecf1ccb485d4cc103cbf55c5f9c7327b65421f6e97086a210dc576dd0716d","last_reissued_at":"2026-06-09T01:05:05.990522Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T01:05:05.990522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.21762","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":"2026-06-09T01:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P/mA2vWz1qCuy65/NUbfUllgCUTBF5f0qaI9S0o0ys3qZsBCJ96QtgZPPZDgIrmmi/w6xzbcY+RMeUfd1GQIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T03:25:40.362955Z"},"content_sha256":"779dce80ebc47271eccf0d45bf530738242ca819c3e527ced395aed09ae277dc","schema_version":"1.0","event_id":"sha256:779dce80ebc47271eccf0d45bf530738242ca819c3e527ced395aed09ae277dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZAPM6HGLJBOUZQIDZP2VYX44OM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the open TS/ST correspondence","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"hep-th","authors_text":"Alba Grassi, Matijn Fran\\c{c}ois","submitted_at":"2025-03-27T17:57:37Z","abstract_excerpt":"The topological string/spectral theory correspondence establishes a precise, non-perturbative duality between topological strings on local Calabi-Yau threefolds and the spectral theory of quantized mirror curves. While this duality has been rigorously formulated for the closed topological string sector, the open string sector remains less understood. Building on the results of [1-3], we make further progress in this direction by constructing entire, off-shell eigenfunctions for the quantized mirror curve from open topological string partition functions. We focus on local $\\mathbb{F}_0$, whose "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.21762","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/2503.21762/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":"2026-06-09T01:05:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7lz2+vPYFHzXSHcAZM2wcB9KQ7sDQqVeEWL6x4Kac5Vlp6LdBogQMPN1xGDncXEi+r4D+EOxZTSOW8TEaR1TCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T03:25:40.363408Z"},"content_sha256":"c4f2cdc63c08b55949c3f90087b28ff6f6556c7cc00f9c4919ffbc9cf92b6df6","schema_version":"1.0","event_id":"sha256:c4f2cdc63c08b55949c3f90087b28ff6f6556c7cc00f9c4919ffbc9cf92b6df6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZAPM6HGLJBOUZQIDZP2VYX44OM/bundle.json","state_url":"https://pith.science/pith/ZAPM6HGLJBOUZQIDZP2VYX44OM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZAPM6HGLJBOUZQIDZP2VYX44OM/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":"2026-06-10T03:25:40Z","links":{"resolver":"https://pith.science/pith/ZAPM6HGLJBOUZQIDZP2VYX44OM","bundle":"https://pith.science/pith/ZAPM6HGLJBOUZQIDZP2VYX44OM/bundle.json","state":"https://pith.science/pith/ZAPM6HGLJBOUZQIDZP2VYX44OM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZAPM6HGLJBOUZQIDZP2VYX44OM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZAPM6HGLJBOUZQIDZP2VYX44OM","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":"c6e4d6006ffd44cdfae8e9617cad865036ffaafd244554ae7d04c88d371c9a13","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-27T17:57:37Z","title_canon_sha256":"5e0db03d86ff820b76abed2c0a599ebb3635edaaceb7b8e552ea620bff467e2b"},"schema_version":"1.0","source":{"id":"2503.21762","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.21762","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"2503.21762v3","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.21762","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"ZAPM6HGLJBOU","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"pith_short_16","alias_value":"ZAPM6HGLJBOUZQID","created_at":"2026-06-09T01:05:05Z"},{"alias_kind":"pith_short_8","alias_value":"ZAPM6HGL","created_at":"2026-06-09T01:05:05Z"}],"graph_snapshots":[{"event_id":"sha256:c4f2cdc63c08b55949c3f90087b28ff6f6556c7cc00f9c4919ffbc9cf92b6df6","target":"graph","created_at":"2026-06-09T01:05:05Z","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/2503.21762/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The topological string/spectral theory correspondence establishes a precise, non-perturbative duality between topological strings on local Calabi-Yau threefolds and the spectral theory of quantized mirror curves. While this duality has been rigorously formulated for the closed topological string sector, the open string sector remains less understood. Building on the results of [1-3], we make further progress in this direction by constructing entire, off-shell eigenfunctions for the quantized mirror curve from open topological string partition functions. We focus on local $\\mathbb{F}_0$, whose ","authors_text":"Alba Grassi, Matijn Fran\\c{c}ois","cross_cats":["math-ph","math.MP","math.SP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-27T17:57:37Z","title":"On the open TS/ST correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.21762","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":"sha256:779dce80ebc47271eccf0d45bf530738242ca819c3e527ced395aed09ae277dc","target":"record","created_at":"2026-06-09T01:05:05Z","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":"c6e4d6006ffd44cdfae8e9617cad865036ffaafd244554ae7d04c88d371c9a13","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-27T17:57:37Z","title_canon_sha256":"5e0db03d86ff820b76abed2c0a599ebb3635edaaceb7b8e552ea620bff467e2b"},"schema_version":"1.0","source":{"id":"2503.21762","kind":"arxiv","version":3}},"canonical_sha256":"c81ecf1ccb485d4cc103cbf55c5f9c7327b65421f6e97086a210dc576dd0716d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c81ecf1ccb485d4cc103cbf55c5f9c7327b65421f6e97086a210dc576dd0716d","first_computed_at":"2026-06-09T01:05:05.990522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:05:05.990522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IzjBrsyBm7cuV9jezJR0lsXAihpk+T136/w8tb624I2AtOsV88NQcf1b+2MOeDn43IUmHUpY8QiYUjpsDvv1DA==","signature_status":"signed_v1","signed_at":"2026-06-09T01:05:05.990999Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.21762","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:779dce80ebc47271eccf0d45bf530738242ca819c3e527ced395aed09ae277dc","sha256:c4f2cdc63c08b55949c3f90087b28ff6f6556c7cc00f9c4919ffbc9cf92b6df6"],"state_sha256":"c061cf0558c74af435fdba358917112b74020d193ec8786c4fcb18b822647f4b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N1hO+x4G4XD3x+nH2rRhcKy6HCNr1dhHdW4rCIQT0kZoo6uENCDiFhsyKC6qdUL/vxtppKXHfUdyGj4xWZx6Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T03:25:40.365856Z","bundle_sha256":"5f889f87b7eeca03f699889b22c6f7809331959e24810a634b60413470905d96"}}