{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NTEODDCR3LR6FH5IHS4DBD3DF3","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":"98de7638f1d1924b6061aa280484cb1b39f107183fdb8dc74946cd84f28d81c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-06-01T02:31:38Z","title_canon_sha256":"938d8170eb52247bdb567f35a6dba2de98851d741c10aff78a107e7c3cb3acf3"},"schema_version":"1.0","source":{"id":"2606.01587","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.01587","created_at":"2026-06-02T02:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"2606.01587v1","created_at":"2026-06-02T02:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.01587","created_at":"2026-06-02T02:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"NTEODDCR3LR6","created_at":"2026-06-02T02:04:37Z"},{"alias_kind":"pith_short_16","alias_value":"NTEODDCR3LR6FH5I","created_at":"2026-06-02T02:04:37Z"},{"alias_kind":"pith_short_8","alias_value":"NTEODDCR","created_at":"2026-06-02T02:04:37Z"}],"graph_snapshots":[{"event_id":"sha256:a39b659aed27bb9b7d2045e645382ee58d93e2b6cb773ae751b2d7fca105d750","target":"graph","created_at":"2026-06-02T02:04:37Z","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/2606.01587/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Strata of holomorphic $1$-forms have an absolute period foliation given by varying $1$-forms while keeping their integrals along closed loops fixed. In this paper, we classify the leaf closures of this foliation when the stratum is connected, outside of a subvariety of high codimension.","authors_text":"Karl Winsor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-06-01T02:31:38Z","title":"Isoperiodic forms and invariant subvarieties of connected strata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.01587","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:f7690fb2a99c713fccf51c034d8d7148978d40940ddb1137c204ff0035ab0d3b","target":"record","created_at":"2026-06-02T02:04:37Z","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":"98de7638f1d1924b6061aa280484cb1b39f107183fdb8dc74946cd84f28d81c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-06-01T02:31:38Z","title_canon_sha256":"938d8170eb52247bdb567f35a6dba2de98851d741c10aff78a107e7c3cb3acf3"},"schema_version":"1.0","source":{"id":"2606.01587","kind":"arxiv","version":1}},"canonical_sha256":"6cc8e18c51dae3e29fa83cb8308f632ee58ff2dd24a9f805f914fbe259ce99dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cc8e18c51dae3e29fa83cb8308f632ee58ff2dd24a9f805f914fbe259ce99dd","first_computed_at":"2026-06-02T02:04:37.324188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T02:04:37.324188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pHLfVB4jN0y5yXfDi0MMnEwwksq6NCUNOAHApFzw/qCTZNkXabN7k2Ze3iK8T25BO6vFuhnjkHAS7NMGpx3CDA==","signature_status":"signed_v1","signed_at":"2026-06-02T02:04:37.324587Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.01587","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7690fb2a99c713fccf51c034d8d7148978d40940ddb1137c204ff0035ab0d3b","sha256:a39b659aed27bb9b7d2045e645382ee58d93e2b6cb773ae751b2d7fca105d750"],"state_sha256":"c9916f0a5223bec2e464dcdc3bd7d560cf434ec2bb0e582cacd656cddabcc19c"}