{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NYZXGJG7WKU7GC4PMYHM34ANPR","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":"696d20321a7c640c5b1ffe295ba22bb14d401b08934a5000d4468a46e64c4c5c","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.KT","submitted_at":"2024-05-06T05:52:25Z","title_canon_sha256":"0c6da639bd77f0584bba0a889fbfd8217e81e3f124fdd4a9e6c2ebe3d719cf39"},"schema_version":"1.0","source":{"id":"2405.03175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.03175","created_at":"2026-07-05T08:15:59Z"},{"alias_kind":"arxiv_version","alias_value":"2405.03175v1","created_at":"2026-07-05T08:15:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.03175","created_at":"2026-07-05T08:15:59Z"},{"alias_kind":"pith_short_12","alias_value":"NYZXGJG7WKU7","created_at":"2026-07-05T08:15:59Z"},{"alias_kind":"pith_short_16","alias_value":"NYZXGJG7WKU7GC4P","created_at":"2026-07-05T08:15:59Z"},{"alias_kind":"pith_short_8","alias_value":"NYZXGJG7","created_at":"2026-07-05T08:15:59Z"}],"graph_snapshots":[{"event_id":"sha256:4f3c943d1a5244093d7a9e534becd311664a7ce3bdc0d1c4c347629470fdbe24","target":"graph","created_at":"2026-07-05T08:15:59Z","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/2405.03175/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study operations on functors in the category of abelian groups simplar to the derivation in the sense of Dold-Puppe. They are defined as derived limits of a functor applied to the relation subgroup over a category of free presentations of the group. The integral homology of the Eilenberg-Maclane space $K(\\mathbb Z,3)$ appears as a part of description of these operations applied to symmetric powers.","authors_text":"Fedor Pavutnitskiy, Roman Mikhailov, Sergei O. Ivanov","cross_cats":["math.AT"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.KT","submitted_at":"2024-05-06T05:52:25Z","title":"Limits via relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.03175","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":"sha256:0a0749d8e6b534ae1faf78050976c8151645284b2c1e53169f45ad2b0e6c9c16","target":"record","created_at":"2026-07-05T08:15:59Z","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":"696d20321a7c640c5b1ffe295ba22bb14d401b08934a5000d4468a46e64c4c5c","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.KT","submitted_at":"2024-05-06T05:52:25Z","title_canon_sha256":"0c6da639bd77f0584bba0a889fbfd8217e81e3f124fdd4a9e6c2ebe3d719cf39"},"schema_version":"1.0","source":{"id":"2405.03175","kind":"arxiv","version":1}},"canonical_sha256":"6e337324dfb2a9f30b8f660ecdf00d7c7e80f0fb204de20b6fd57217857999f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e337324dfb2a9f30b8f660ecdf00d7c7e80f0fb204de20b6fd57217857999f9","first_computed_at":"2026-07-05T08:15:59.836811Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:15:59.836811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Zw9p/3hEAUEAnwNDuua0CpGp14kNGfy4bb0xsISsApMlOMg/aXhYw9JmWFx8klpVPBwT4Cdv7dw3lqTO/AxBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:15:59.837256Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.03175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a0749d8e6b534ae1faf78050976c8151645284b2c1e53169f45ad2b0e6c9c16","sha256:4f3c943d1a5244093d7a9e534becd311664a7ce3bdc0d1c4c347629470fdbe24"],"state_sha256":"53425734e2c51613ecf2ceeea2a957ccf2cba8e9ed3eac582eb2c40bfea607c5"}