{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:5WDCQ32EPIG5DXNT2DMT2D7Z2Z","short_pith_number":"pith:5WDCQ32E","canonical_record":{"source":{"id":"math/0302211","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2003-02-18T19:28:04Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"a317b4ca6bbbc6c83434caff8cea26114a5bb39cd37d4c61131c55cd51b210ab","abstract_canon_sha256":"e16b47fcc5d9d170a8b1283bf8bcba29f83d6f13e43a0e43099bc0806844ec8c"},"schema_version":"1.0"},"canonical_sha256":"ed86286f447a0dd1ddb3d0d93d0ff9d674ea0725971ab9174a9dd940d7f761e2","source":{"kind":"arxiv","id":"math/0302211","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0302211","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"arxiv_version","alias_value":"math/0302211v1","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0302211","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"pith_short_12","alias_value":"5WDCQ32EPIG5","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"pith_short_16","alias_value":"5WDCQ32EPIG5DXNT","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"pith_short_8","alias_value":"5WDCQ32E","created_at":"2026-07-04T14:37:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:5WDCQ32EPIG5DXNT2DMT2D7Z2Z","target":"record","payload":{"canonical_record":{"source":{"id":"math/0302211","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2003-02-18T19:28:04Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"a317b4ca6bbbc6c83434caff8cea26114a5bb39cd37d4c61131c55cd51b210ab","abstract_canon_sha256":"e16b47fcc5d9d170a8b1283bf8bcba29f83d6f13e43a0e43099bc0806844ec8c"},"schema_version":"1.0"},"canonical_sha256":"ed86286f447a0dd1ddb3d0d93d0ff9d674ea0725971ab9174a9dd940d7f761e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:37:05.359057Z","signature_b64":"zphBnur2Cfwah2MvTUCIQmpNC4vOwrx6yXSTKTWsxRWPA5gNvlyjl2u7PPv5K7UHEwTOZpxj73J4gbHWj/Y1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed86286f447a0dd1ddb3d0d93d0ff9d674ea0725971ab9174a9dd940d7f761e2","last_reissued_at":"2026-07-04T14:37:05.358629Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:37:05.358629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0302211","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:37:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0xKVQ9ok8A3cbWrBN/Rzhnf6d8loRZtPrPJ4GvIq0kfZgkG5fGjC0xoogez6aPU7Z24j/DXx3zwxahX7Wq6dCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-15T05:45:39.279765Z"},"content_sha256":"6b4d56502de059892be8ee1cca15b1e085e35c8f56d1a20a584c492dbdb3e0ca","schema_version":"1.0","event_id":"sha256:6b4d56502de059892be8ee1cca15b1e085e35c8f56d1a20a584c492dbdb3e0ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:5WDCQ32EPIG5DXNT2DMT2D7Z2Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hilbert schemes, integrable hierarchies, and Gromov-Witten theory","license":"","headline":"","cross_cats":["hep-th","math.QA"],"primary_cat":"math.AG","authors_text":"Wei-ping Li, Weiqiang Wang, Zhenbo Qin","submitted_at":"2003-02-18T19:28:04Z","abstract_excerpt":"Various equivariant intersection numbers on Hilbert schemes of points on the affine plane are computed, some of which are organized into tau-functions of 2-Toda hierarchies. A correspondence between the equivariant intersection on Hilbert schemes and stationary Gromov-Witten theory is established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0302211","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0302211/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":"2026-07-04T14:37:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+LR4HXhExh3g4KuzFVw8tXFu52+aexyhpyQOdE1UjcYsSwB8ebr+uiRemDwP4T4pWWTjEP7nVeEj/hq7z1iDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-15T05:45:39.280147Z"},"content_sha256":"36599c730cbd6c92424d132440b7a7fbbc31130d6040e42d8ada5903b51e245b","schema_version":"1.0","event_id":"sha256:36599c730cbd6c92424d132440b7a7fbbc31130d6040e42d8ada5903b51e245b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5WDCQ32EPIG5DXNT2DMT2D7Z2Z/bundle.json","state_url":"https://pith.science/pith/5WDCQ32EPIG5DXNT2DMT2D7Z2Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5WDCQ32EPIG5DXNT2DMT2D7Z2Z/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":"2026-07-15T05:45:39Z","links":{"resolver":"https://pith.science/pith/5WDCQ32EPIG5DXNT2DMT2D7Z2Z","bundle":"https://pith.science/pith/5WDCQ32EPIG5DXNT2DMT2D7Z2Z/bundle.json","state":"https://pith.science/pith/5WDCQ32EPIG5DXNT2DMT2D7Z2Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5WDCQ32EPIG5DXNT2DMT2D7Z2Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:5WDCQ32EPIG5DXNT2DMT2D7Z2Z","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":"e16b47fcc5d9d170a8b1283bf8bcba29f83d6f13e43a0e43099bc0806844ec8c","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"math.AG","submitted_at":"2003-02-18T19:28:04Z","title_canon_sha256":"a317b4ca6bbbc6c83434caff8cea26114a5bb39cd37d4c61131c55cd51b210ab"},"schema_version":"1.0","source":{"id":"math/0302211","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0302211","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"arxiv_version","alias_value":"math/0302211v1","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0302211","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"pith_short_12","alias_value":"5WDCQ32EPIG5","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"pith_short_16","alias_value":"5WDCQ32EPIG5DXNT","created_at":"2026-07-04T14:37:05Z"},{"alias_kind":"pith_short_8","alias_value":"5WDCQ32E","created_at":"2026-07-04T14:37:05Z"}],"graph_snapshots":[{"event_id":"sha256:36599c730cbd6c92424d132440b7a7fbbc31130d6040e42d8ada5903b51e245b","target":"graph","created_at":"2026-07-04T14:37:05Z","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/math/0302211/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Various equivariant intersection numbers on Hilbert schemes of points on the affine plane are computed, some of which are organized into tau-functions of 2-Toda hierarchies. A correspondence between the equivariant intersection on Hilbert schemes and stationary Gromov-Witten theory is established.","authors_text":"Wei-ping Li, Weiqiang Wang, Zhenbo Qin","cross_cats":["hep-th","math.QA"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2003-02-18T19:28:04Z","title":"Hilbert schemes, integrable hierarchies, and Gromov-Witten theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0302211","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":"sha256:6b4d56502de059892be8ee1cca15b1e085e35c8f56d1a20a584c492dbdb3e0ca","target":"record","created_at":"2026-07-04T14:37:05Z","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":"e16b47fcc5d9d170a8b1283bf8bcba29f83d6f13e43a0e43099bc0806844ec8c","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"math.AG","submitted_at":"2003-02-18T19:28:04Z","title_canon_sha256":"a317b4ca6bbbc6c83434caff8cea26114a5bb39cd37d4c61131c55cd51b210ab"},"schema_version":"1.0","source":{"id":"math/0302211","kind":"arxiv","version":1}},"canonical_sha256":"ed86286f447a0dd1ddb3d0d93d0ff9d674ea0725971ab9174a9dd940d7f761e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed86286f447a0dd1ddb3d0d93d0ff9d674ea0725971ab9174a9dd940d7f761e2","first_computed_at":"2026-07-04T14:37:05.358629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:37:05.358629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zphBnur2Cfwah2MvTUCIQmpNC4vOwrx6yXSTKTWsxRWPA5gNvlyjl2u7PPv5K7UHEwTOZpxj73J4gbHWj/Y1Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:37:05.359057Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0302211","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b4d56502de059892be8ee1cca15b1e085e35c8f56d1a20a584c492dbdb3e0ca","sha256:36599c730cbd6c92424d132440b7a7fbbc31130d6040e42d8ada5903b51e245b"],"state_sha256":"f10cc8509c837a25b050ac44b3c4447234fe0d741cd8b5450ea48724d26c2556"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uBCassCqJ2sWyL1W/GUMnb2hkkSyty2V2BQggS9aiFgMXq/eMBSdcohaJWbsIFpkbusNXce6gW4iH7NlMBtrAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-15T05:45:39.282379Z","bundle_sha256":"6b5703c6177326604c4fe42f9b0a489e8dc3cdcf58c5f632a108f3e6a45c9452"}}