{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:F7KC3M5FZLZ2GTVG66F7LUAR27","short_pith_number":"pith:F7KC3M5F","schema_version":"1.0","canonical_sha256":"2fd42db3a5caf3a34ea6f78bf5d011d7fbece4d200ab1c5df1ae795fdc4d48e4","source":{"kind":"arxiv","id":"2508.21705","version":1},"attestation_state":"computed","paper":{"title":"The Iarrobino scheme: a self-dual analogue of the Hilbert scheme of points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Joachim Jelisiejew","submitted_at":"2025-08-29T15:25:04Z","abstract_excerpt":"For a fixed quasi-projective scheme $X$ we introduce a self-dual analogue of ${\\mathrm{Hilb}}_d(X)$ which we call the Iarrobino scheme of $X$. It is a fine moduli space of oriented Gorenstein zero-dimensional subschemes of $X$ together with some additional data (a self-dual filtration) which is vacuous over a big open set but non-trivial over the compactification. Via the link between Hilbert schemes and varieties of commuting matrices, Iarrobino schemes correspond to commuting symmetric matrices.\n  We provide also self-dual analogues of the Quot scheme of points and of the stacks of coherent "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2508.21705","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-08-29T15:25:04Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"863f5202efcfee2f3c3b6aeeaddbc0d034690f8c3109e7be94cb2965ee550199","abstract_canon_sha256":"cc40f69d3386515e16e2c9b4c7837acf2088b1b81bb0eb7e72d09c3b4e90e807"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:01:48.227133Z","signature_b64":"T9J+wn2A+bIiS8x/9I2Ikbo+8SRTNhlHcURlGgHwDlqIzfMoyxNVXNxRa3Z6daB94uy90bu1wm8K79BEJbPZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fd42db3a5caf3a34ea6f78bf5d011d7fbece4d200ab1c5df1ae795fdc4d48e4","last_reissued_at":"2026-07-05T12:01:48.226684Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:01:48.226684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Iarrobino scheme: a self-dual analogue of the Hilbert scheme of points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Joachim Jelisiejew","submitted_at":"2025-08-29T15:25:04Z","abstract_excerpt":"For a fixed quasi-projective scheme $X$ we introduce a self-dual analogue of ${\\mathrm{Hilb}}_d(X)$ which we call the Iarrobino scheme of $X$. It is a fine moduli space of oriented Gorenstein zero-dimensional subschemes of $X$ together with some additional data (a self-dual filtration) which is vacuous over a big open set but non-trivial over the compactification. Via the link between Hilbert schemes and varieties of commuting matrices, Iarrobino schemes correspond to commuting symmetric matrices.\n  We provide also self-dual analogues of the Quot scheme of points and of the stacks of coherent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.21705","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/2508.21705/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2508.21705","created_at":"2026-07-05T12:01:48.226740+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.21705v1","created_at":"2026-07-05T12:01:48.226740+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.21705","created_at":"2026-07-05T12:01:48.226740+00:00"},{"alias_kind":"pith_short_12","alias_value":"F7KC3M5FZLZ2","created_at":"2026-07-05T12:01:48.226740+00:00"},{"alias_kind":"pith_short_16","alias_value":"F7KC3M5FZLZ2GTVG","created_at":"2026-07-05T12:01:48.226740+00:00"},{"alias_kind":"pith_short_8","alias_value":"F7KC3M5F","created_at":"2026-07-05T12:01:48.226740+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/F7KC3M5FZLZ2GTVG66F7LUAR27","json":"https://pith.science/pith/F7KC3M5FZLZ2GTVG66F7LUAR27.json","graph_json":"https://pith.science/api/pith-number/F7KC3M5FZLZ2GTVG66F7LUAR27/graph.json","events_json":"https://pith.science/api/pith-number/F7KC3M5FZLZ2GTVG66F7LUAR27/events.json","paper":"https://pith.science/paper/F7KC3M5F"},"agent_actions":{"view_html":"https://pith.science/pith/F7KC3M5FZLZ2GTVG66F7LUAR27","download_json":"https://pith.science/pith/F7KC3M5FZLZ2GTVG66F7LUAR27.json","view_paper":"https://pith.science/paper/F7KC3M5F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.21705&json=true","fetch_graph":"https://pith.science/api/pith-number/F7KC3M5FZLZ2GTVG66F7LUAR27/graph.json","fetch_events":"https://pith.science/api/pith-number/F7KC3M5FZLZ2GTVG66F7LUAR27/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F7KC3M5FZLZ2GTVG66F7LUAR27/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F7KC3M5FZLZ2GTVG66F7LUAR27/action/storage_attestation","attest_author":"https://pith.science/pith/F7KC3M5FZLZ2GTVG66F7LUAR27/action/author_attestation","sign_citation":"https://pith.science/pith/F7KC3M5FZLZ2GTVG66F7LUAR27/action/citation_signature","submit_replication":"https://pith.science/pith/F7KC3M5FZLZ2GTVG66F7LUAR27/action/replication_record"}},"created_at":"2026-07-05T12:01:48.226740+00:00","updated_at":"2026-07-05T12:01:48.226740+00:00"}