{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:CG5EHLXQOHL6BXSIVHIELTUENM","short_pith_number":"pith:CG5EHLXQ","canonical_record":{"source":{"id":"2411.02387","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-04T18:54:15Z","cross_cats_sorted":[],"title_canon_sha256":"febd435ad6b719c6b8d0fb5f9be06ae85c5167150f3cbbadc81cbbb0fca1c0e6","abstract_canon_sha256":"6718087f6e102bf4941617cd006b1ed6dc98f2cb3e38160837c62b00a1568b0c"},"schema_version":"1.0"},"canonical_sha256":"11ba43aef071d7e0de48a9d045ce846b30325ff279fb6b3e0e3cdaea67ec21d0","source":{"kind":"arxiv","id":"2411.02387","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.02387","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"arxiv_version","alias_value":"2411.02387v2","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.02387","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"pith_short_12","alias_value":"CG5EHLXQOHL6","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"pith_short_16","alias_value":"CG5EHLXQOHL6BXSI","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"pith_short_8","alias_value":"CG5EHLXQ","created_at":"2026-07-05T11:34:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:CG5EHLXQOHL6BXSIVHIELTUENM","target":"record","payload":{"canonical_record":{"source":{"id":"2411.02387","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-04T18:54:15Z","cross_cats_sorted":[],"title_canon_sha256":"febd435ad6b719c6b8d0fb5f9be06ae85c5167150f3cbbadc81cbbb0fca1c0e6","abstract_canon_sha256":"6718087f6e102bf4941617cd006b1ed6dc98f2cb3e38160837c62b00a1568b0c"},"schema_version":"1.0"},"canonical_sha256":"11ba43aef071d7e0de48a9d045ce846b30325ff279fb6b3e0e3cdaea67ec21d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:34:44.822145Z","signature_b64":"TchT7g/EtZ45cTao9uCglMINLdTBaPXlEP3hWS+S0CVm2t02Za+ifDPHDv53RIvNIXJt/5l13ypKpYMlUyZKCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11ba43aef071d7e0de48a9d045ce846b30325ff279fb6b3e0e3cdaea67ec21d0","last_reissued_at":"2026-07-05T11:34:44.821598Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:34:44.821598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.02387","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:34:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LOt/AIh66hlbcQrPN954LuFb8ZyRBKdea90CHVD4WezuH48MlUZNIL9oQDt4ZnT4cIXSdG3p/iSIT+0poNpLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T00:40:02.075048Z"},"content_sha256":"4a1cb90585767957c69f697375aeae34e48f6f4c42245a638f6481b9e9c2e586","schema_version":"1.0","event_id":"sha256:4a1cb90585767957c69f697375aeae34e48f6f4c42245a638f6481b9e9c2e586"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:CG5EHLXQOHL6BXSIVHIELTUENM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The $\\mathcal{D}$-Geometric Hilbert Scheme -- Part II: Hilbert and Quot DG-Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Artan Sheshmani, Jacob Kryczka","submitted_at":"2024-11-04T18:54:15Z","abstract_excerpt":"This is the second in a series of two papers developing a moduli-theoretic framework for differential ideal sheaves associated with formally integrable, involutive systems of algebraic partial differential equations (PDEs). Building on earlier work, which established the existence of moduli stacks for such systems with prescribed regularity and stability conditions, we now construct a derived enhancement of these moduli spaces. We prove the derived $\\mathcal{D}$-Quot functor admits a global differential graded refinement representable by a suitable differential graded $\\mathcal{D}$-manifold. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.02387","kind":"arxiv","version":2},"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/2411.02387/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":"2026-07-05T11:34:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IaLZ/40t5eS/8TQo9u5c9xk06IX/iUbYtvOUbwN0HlcMADJEWL2QRSKVbY42QL/TR7InowJiFVFnhOUSlBjWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T00:40:02.075614Z"},"content_sha256":"4bdd57140f493a3b3914793c2dbb3f69cf83ffc811aaf50a4529ef8e09a44cf3","schema_version":"1.0","event_id":"sha256:4bdd57140f493a3b3914793c2dbb3f69cf83ffc811aaf50a4529ef8e09a44cf3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CG5EHLXQOHL6BXSIVHIELTUENM/bundle.json","state_url":"https://pith.science/pith/CG5EHLXQOHL6BXSIVHIELTUENM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CG5EHLXQOHL6BXSIVHIELTUENM/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":"2026-08-24T00:40:02Z","links":{"resolver":"https://pith.science/pith/CG5EHLXQOHL6BXSIVHIELTUENM","bundle":"https://pith.science/pith/CG5EHLXQOHL6BXSIVHIELTUENM/bundle.json","state":"https://pith.science/pith/CG5EHLXQOHL6BXSIVHIELTUENM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CG5EHLXQOHL6BXSIVHIELTUENM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CG5EHLXQOHL6BXSIVHIELTUENM","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":"6718087f6e102bf4941617cd006b1ed6dc98f2cb3e38160837c62b00a1568b0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-04T18:54:15Z","title_canon_sha256":"febd435ad6b719c6b8d0fb5f9be06ae85c5167150f3cbbadc81cbbb0fca1c0e6"},"schema_version":"1.0","source":{"id":"2411.02387","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.02387","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"arxiv_version","alias_value":"2411.02387v2","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.02387","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"pith_short_12","alias_value":"CG5EHLXQOHL6","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"pith_short_16","alias_value":"CG5EHLXQOHL6BXSI","created_at":"2026-07-05T11:34:44Z"},{"alias_kind":"pith_short_8","alias_value":"CG5EHLXQ","created_at":"2026-07-05T11:34:44Z"}],"graph_snapshots":[{"event_id":"sha256:4bdd57140f493a3b3914793c2dbb3f69cf83ffc811aaf50a4529ef8e09a44cf3","target":"graph","created_at":"2026-07-05T11:34:44Z","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/2411.02387/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is the second in a series of two papers developing a moduli-theoretic framework for differential ideal sheaves associated with formally integrable, involutive systems of algebraic partial differential equations (PDEs). Building on earlier work, which established the existence of moduli stacks for such systems with prescribed regularity and stability conditions, we now construct a derived enhancement of these moduli spaces. We prove the derived $\\mathcal{D}$-Quot functor admits a global differential graded refinement representable by a suitable differential graded $\\mathcal{D}$-manifold. W","authors_text":"Artan Sheshmani, Jacob Kryczka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-04T18:54:15Z","title":"The $\\mathcal{D}$-Geometric Hilbert Scheme -- Part II: Hilbert and Quot DG-Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.02387","kind":"arxiv","version":2},"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":"sha256:4a1cb90585767957c69f697375aeae34e48f6f4c42245a638f6481b9e9c2e586","target":"record","created_at":"2026-07-05T11:34:44Z","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":"6718087f6e102bf4941617cd006b1ed6dc98f2cb3e38160837c62b00a1568b0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-04T18:54:15Z","title_canon_sha256":"febd435ad6b719c6b8d0fb5f9be06ae85c5167150f3cbbadc81cbbb0fca1c0e6"},"schema_version":"1.0","source":{"id":"2411.02387","kind":"arxiv","version":2}},"canonical_sha256":"11ba43aef071d7e0de48a9d045ce846b30325ff279fb6b3e0e3cdaea67ec21d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11ba43aef071d7e0de48a9d045ce846b30325ff279fb6b3e0e3cdaea67ec21d0","first_computed_at":"2026-07-05T11:34:44.821598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:34:44.821598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TchT7g/EtZ45cTao9uCglMINLdTBaPXlEP3hWS+S0CVm2t02Za+ifDPHDv53RIvNIXJt/5l13ypKpYMlUyZKCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:34:44.822145Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.02387","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a1cb90585767957c69f697375aeae34e48f6f4c42245a638f6481b9e9c2e586","sha256:4bdd57140f493a3b3914793c2dbb3f69cf83ffc811aaf50a4529ef8e09a44cf3"],"state_sha256":"234c390886b0726b44036d6675ebcbda2826b76e999ac366dd700e9d8b26b5ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/KfzKyqgPNBriepKCjL6HwCCI2387AZXgO69Kvwr2MxeFRiLH6mvF3HhPvqHL/EkiBdW0oamUeFhwMPqrAeSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-24T00:40:02.080608Z","bundle_sha256":"ade8c0db484ad3b58b04c74fdcc258bc388343071167e015318964a127dbc2d6"}}