{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:TUOODALMSSFDUYIBV6KFGHAP2M","short_pith_number":"pith:TUOODALM","canonical_record":{"source":{"id":"2606.17318","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-15T21:56:46Z","cross_cats_sorted":[],"title_canon_sha256":"9a1bf962320e301d5e3e4de5549fcb4a96b0e233948b6f7749e0e14424a2e3fe","abstract_canon_sha256":"20573b3d9892788168a03fa9787b71c61947d675406fa47ad0bf325833da5691"},"schema_version":"1.0"},"canonical_sha256":"9d1ce1816c948a3a6101af94531c0fd33ab695e0842cf82c13ce1e8160e5cfd9","source":{"kind":"arxiv","id":"2606.17318","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.17318","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.17318v1","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17318","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_12","alias_value":"TUOODALMSSFD","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_16","alias_value":"TUOODALMSSFDUYIB","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_8","alias_value":"TUOODALM","created_at":"2026-06-19T16:10:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:TUOODALMSSFDUYIBV6KFGHAP2M","target":"record","payload":{"canonical_record":{"source":{"id":"2606.17318","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-15T21:56:46Z","cross_cats_sorted":[],"title_canon_sha256":"9a1bf962320e301d5e3e4de5549fcb4a96b0e233948b6f7749e0e14424a2e3fe","abstract_canon_sha256":"20573b3d9892788168a03fa9787b71c61947d675406fa47ad0bf325833da5691"},"schema_version":"1.0"},"canonical_sha256":"9d1ce1816c948a3a6101af94531c0fd33ab695e0842cf82c13ce1e8160e5cfd9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:10:08.869493Z","signature_b64":"4rcfGTynVlR7wP4n/r6l0jDK5mv7yGJmy11MOzfAVEKI64dUkm4tCcV3IbPc8K/eUExMGhuzX+dG7TFmhHClCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d1ce1816c948a3a6101af94531c0fd33ab695e0842cf82c13ce1e8160e5cfd9","last_reissued_at":"2026-06-19T16:10:08.869131Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:10:08.869131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.17318","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":"2026-06-19T16:10:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yjybmDisYcKYHQvLWOY7CVs79trJhMtAkvJAFzFSXtJMb5YGkwXH5HOCOUunea32Ktv1KVRnclRkeVn9ZdAYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T08:06:48.421962Z"},"content_sha256":"580b78a8542579d9d86ba62efd6af6c898d397e6670f62a342d63c31a3e6983d","schema_version":"1.0","event_id":"sha256:580b78a8542579d9d86ba62efd6af6c898d397e6670f62a342d63c31a3e6983d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:TUOODALMSSFDUYIBV6KFGHAP2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schubert varieties for the super affine Grassmannian of $GL_{n|m}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sofia Gureva, Vladimir Stukopin","submitted_at":"2026-06-15T21:56:46Z","abstract_excerpt":"We study Schubert varieties of the affine Grassmannian for the general linear supergroup $GL_{n|m}$. An explicit computational study is conducted in low-dimensional cases, namely for dimensions $n|m = 1|1$ and $2|1$. We describe the supervariety structures that arise in these settings, providing coordinate descriptions, equations, and morphisms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17318","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/2606.17318/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":"2026-06-19T16:10:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DY0dlbtfZ4p1PBN8WAqYckmK5WzvaWyJLu3MXQOaAErbAlpbdo0wQZzC3a7am6Jl2+1yc9tboDvXq5aVgw9IDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T08:06:48.422357Z"},"content_sha256":"4cde62b78a9dd585fc018a5fb59c3a1ee028f84dec867631f9223547d15bc9e0","schema_version":"1.0","event_id":"sha256:4cde62b78a9dd585fc018a5fb59c3a1ee028f84dec867631f9223547d15bc9e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M/bundle.json","state_url":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TUOODALMSSFDUYIBV6KFGHAP2M/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":"2026-06-30T08:06:48Z","links":{"resolver":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M","bundle":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M/bundle.json","state":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TUOODALMSSFDUYIBV6KFGHAP2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TUOODALMSSFDUYIBV6KFGHAP2M","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":"20573b3d9892788168a03fa9787b71c61947d675406fa47ad0bf325833da5691","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-15T21:56:46Z","title_canon_sha256":"9a1bf962320e301d5e3e4de5549fcb4a96b0e233948b6f7749e0e14424a2e3fe"},"schema_version":"1.0","source":{"id":"2606.17318","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.17318","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.17318v1","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17318","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_12","alias_value":"TUOODALMSSFD","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_16","alias_value":"TUOODALMSSFDUYIB","created_at":"2026-06-19T16:10:08Z"},{"alias_kind":"pith_short_8","alias_value":"TUOODALM","created_at":"2026-06-19T16:10:08Z"}],"graph_snapshots":[{"event_id":"sha256:4cde62b78a9dd585fc018a5fb59c3a1ee028f84dec867631f9223547d15bc9e0","target":"graph","created_at":"2026-06-19T16:10:08Z","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/2606.17318/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study Schubert varieties of the affine Grassmannian for the general linear supergroup $GL_{n|m}$. An explicit computational study is conducted in low-dimensional cases, namely for dimensions $n|m = 1|1$ and $2|1$. We describe the supervariety structures that arise in these settings, providing coordinate descriptions, equations, and morphisms.","authors_text":"Sofia Gureva, Vladimir Stukopin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-15T21:56:46Z","title":"Schubert varieties for the super affine Grassmannian of $GL_{n|m}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17318","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":"sha256:580b78a8542579d9d86ba62efd6af6c898d397e6670f62a342d63c31a3e6983d","target":"record","created_at":"2026-06-19T16:10:08Z","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":"20573b3d9892788168a03fa9787b71c61947d675406fa47ad0bf325833da5691","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-15T21:56:46Z","title_canon_sha256":"9a1bf962320e301d5e3e4de5549fcb4a96b0e233948b6f7749e0e14424a2e3fe"},"schema_version":"1.0","source":{"id":"2606.17318","kind":"arxiv","version":1}},"canonical_sha256":"9d1ce1816c948a3a6101af94531c0fd33ab695e0842cf82c13ce1e8160e5cfd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d1ce1816c948a3a6101af94531c0fd33ab695e0842cf82c13ce1e8160e5cfd9","first_computed_at":"2026-06-19T16:10:08.869131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:08.869131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4rcfGTynVlR7wP4n/r6l0jDK5mv7yGJmy11MOzfAVEKI64dUkm4tCcV3IbPc8K/eUExMGhuzX+dG7TFmhHClCA==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:08.869493Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.17318","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:580b78a8542579d9d86ba62efd6af6c898d397e6670f62a342d63c31a3e6983d","sha256:4cde62b78a9dd585fc018a5fb59c3a1ee028f84dec867631f9223547d15bc9e0"],"state_sha256":"19d19f9be341c3988381fbeb3ef572780353c2958022ffd572f8f06e1dba3036"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bEFXuzxw8uFS4E9dNgSCfDiapmqK7vM8t9WItSqQqhZx9pxI/BC3uiTYKPwIyMuIxznhNuhBOrT9cznawm6dCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T08:06:48.424384Z","bundle_sha256":"dc5d1215c833eb1becce3b9e6474cc9538119a7276e409671d888e79bdb46b20"}}