{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YREJ6N37FT2BODZ4XGE5XECA6M","short_pith_number":"pith:YREJ6N37","canonical_record":{"source":{"id":"1505.07964","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-05-29T09:11:51Z","cross_cats_sorted":["math-ph","math.CT","math.MP","math.RA"],"title_canon_sha256":"6a0c2c6d0b009b343b754dd8bc9c8235e7ff707caceef784befca23dad7b5777","abstract_canon_sha256":"d60f72837e520e7cf9932d4a94505b389aace60232995e7f76c091e37595e20a"},"schema_version":"1.0"},"canonical_sha256":"c4489f377f2cf4170f3cb989db9040f33dca4d7961188781c3c2dd485c4e5560","source":{"kind":"arxiv","id":"1505.07964","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07964","created_at":"2026-05-18T00:51:28Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07964v2","created_at":"2026-05-18T00:51:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07964","created_at":"2026-05-18T00:51:28Z"},{"alias_kind":"pith_short_12","alias_value":"YREJ6N37FT2B","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YREJ6N37FT2BODZ4","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YREJ6N37","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YREJ6N37FT2BODZ4XGE5XECA6M","target":"record","payload":{"canonical_record":{"source":{"id":"1505.07964","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-05-29T09:11:51Z","cross_cats_sorted":["math-ph","math.CT","math.MP","math.RA"],"title_canon_sha256":"6a0c2c6d0b009b343b754dd8bc9c8235e7ff707caceef784befca23dad7b5777","abstract_canon_sha256":"d60f72837e520e7cf9932d4a94505b389aace60232995e7f76c091e37595e20a"},"schema_version":"1.0"},"canonical_sha256":"c4489f377f2cf4170f3cb989db9040f33dca4d7961188781c3c2dd485c4e5560","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:28.616452Z","signature_b64":"bJfP5/3yIa36z0An8oXUc+2iJAxOYovXpPNQRNj0UgWxjaRN7sFf6cNj0areF+zHU1eHplMNknzu9+A7AbiHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4489f377f2cf4170f3cb989db9040f33dca4d7961188781c3c2dd485c4e5560","last_reissued_at":"2026-05-18T00:51:28.615930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:28.615930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.07964","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":"2026-05-18T00:51:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lgHyIsckwmk37gaLdBNE5UwDi8nenQZMmgWWzTgi770tJXUQqeM+spGkqGcGrCKhFNkT0MmMhZ50p9LrNDFbAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:55:25.603860Z"},"content_sha256":"96db0ab0ef9d5307db45846500d5429dc3fdc2280452a872b87222064b65ae5f","schema_version":"1.0","event_id":"sha256:96db0ab0ef9d5307db45846500d5429dc3fdc2280452a872b87222064b65ae5f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YREJ6N37FT2BODZ4XGE5XECA6M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Model categorical Koszul-Tate resolution for algebras over differential operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CT","math.MP","math.RA"],"primary_cat":"math.AT","authors_text":"Damjan Pistalo, Gennaro di Brino, Norbert Poncin","submitted_at":"2015-05-29T09:11:51Z","abstract_excerpt":"Derived D-Geometry is considered as a convenient language for a coordinate-free investigation of nonlinear partial differential equations up to symmetries. One of the first issues one meets in the functor of points approach to derived D-Geometry, is the question of a model structure on the category C of differential non-negatively graded quasi-coherent commutative algebras over the sheaf D of differential operators of an appropriate underlying variety. In [BPP15a], we described a cofibrantly generated model structure on C via the definition of its weak equivalences and its fibrations. In the p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07964","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":""},"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":"2026-05-18T00:51:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XrUEvC6Pmq7/knq49cnRBjp5loimiYAwJEdSGuVOUVhCdkfIyJkBFUcsIoppzXrxUJO3eq9OrkRl0abF1axdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:55:25.604367Z"},"content_sha256":"6c45254d8fabf4b838ae5137eae3df3e4bfd91a9fb5dfbaddfe572fcdba04c68","schema_version":"1.0","event_id":"sha256:6c45254d8fabf4b838ae5137eae3df3e4bfd91a9fb5dfbaddfe572fcdba04c68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YREJ6N37FT2BODZ4XGE5XECA6M/bundle.json","state_url":"https://pith.science/pith/YREJ6N37FT2BODZ4XGE5XECA6M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YREJ6N37FT2BODZ4XGE5XECA6M/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":"2026-06-09T10:55:25Z","links":{"resolver":"https://pith.science/pith/YREJ6N37FT2BODZ4XGE5XECA6M","bundle":"https://pith.science/pith/YREJ6N37FT2BODZ4XGE5XECA6M/bundle.json","state":"https://pith.science/pith/YREJ6N37FT2BODZ4XGE5XECA6M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YREJ6N37FT2BODZ4XGE5XECA6M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YREJ6N37FT2BODZ4XGE5XECA6M","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":"d60f72837e520e7cf9932d4a94505b389aace60232995e7f76c091e37595e20a","cross_cats_sorted":["math-ph","math.CT","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-05-29T09:11:51Z","title_canon_sha256":"6a0c2c6d0b009b343b754dd8bc9c8235e7ff707caceef784befca23dad7b5777"},"schema_version":"1.0","source":{"id":"1505.07964","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07964","created_at":"2026-05-18T00:51:28Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07964v2","created_at":"2026-05-18T00:51:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07964","created_at":"2026-05-18T00:51:28Z"},{"alias_kind":"pith_short_12","alias_value":"YREJ6N37FT2B","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YREJ6N37FT2BODZ4","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YREJ6N37","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:6c45254d8fabf4b838ae5137eae3df3e4bfd91a9fb5dfbaddfe572fcdba04c68","target":"graph","created_at":"2026-05-18T00:51:28Z","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"},"paper":{"abstract_excerpt":"Derived D-Geometry is considered as a convenient language for a coordinate-free investigation of nonlinear partial differential equations up to symmetries. One of the first issues one meets in the functor of points approach to derived D-Geometry, is the question of a model structure on the category C of differential non-negatively graded quasi-coherent commutative algebras over the sheaf D of differential operators of an appropriate underlying variety. In [BPP15a], we described a cofibrantly generated model structure on C via the definition of its weak equivalences and its fibrations. In the p","authors_text":"Damjan Pistalo, Gennaro di Brino, Norbert Poncin","cross_cats":["math-ph","math.CT","math.MP","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-05-29T09:11:51Z","title":"Model categorical Koszul-Tate resolution for algebras over differential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07964","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":"sha256:96db0ab0ef9d5307db45846500d5429dc3fdc2280452a872b87222064b65ae5f","target":"record","created_at":"2026-05-18T00:51:28Z","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":"d60f72837e520e7cf9932d4a94505b389aace60232995e7f76c091e37595e20a","cross_cats_sorted":["math-ph","math.CT","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-05-29T09:11:51Z","title_canon_sha256":"6a0c2c6d0b009b343b754dd8bc9c8235e7ff707caceef784befca23dad7b5777"},"schema_version":"1.0","source":{"id":"1505.07964","kind":"arxiv","version":2}},"canonical_sha256":"c4489f377f2cf4170f3cb989db9040f33dca4d7961188781c3c2dd485c4e5560","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4489f377f2cf4170f3cb989db9040f33dca4d7961188781c3c2dd485c4e5560","first_computed_at":"2026-05-18T00:51:28.615930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:28.615930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bJfP5/3yIa36z0An8oXUc+2iJAxOYovXpPNQRNj0UgWxjaRN7sFf6cNj0areF+zHU1eHplMNknzu9+A7AbiHDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:28.616452Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07964","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96db0ab0ef9d5307db45846500d5429dc3fdc2280452a872b87222064b65ae5f","sha256:6c45254d8fabf4b838ae5137eae3df3e4bfd91a9fb5dfbaddfe572fcdba04c68"],"state_sha256":"606f07d36b1dbb1be7337fd8b811079afbf7e923d847c9d26d60eb5f11b40345"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U0tRmGl7rtX/bOpoOChwEwW+CGXlChMJF/50usL/j3lvie3M/nMfQcE/jV59J6s3IYr0B8nIVlByzipAB7iVAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T10:55:25.606963Z","bundle_sha256":"f3e6ba4420b0d0b0515728c15e968d04e8a10e4cd9a6ab697920961d6542c37c"}}