{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EEL7BSEGVJHX2XRQR2LU2WDYXM","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":"d3d361fba0eacf9948108bbabe75b516f5fc19c9392ba437067f413eb37da296","cross_cats_sorted":["math.CT","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-06-22T18:16:38Z","title_canon_sha256":"479e2d12af3c4f1149e42a715ea348b46177d47a14333ffd155eda0d723a3468"},"schema_version":"1.0","source":{"id":"1606.07032","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.07032","created_at":"2026-05-18T00:29:05Z"},{"alias_kind":"arxiv_version","alias_value":"1606.07032v2","created_at":"2026-05-18T00:29:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07032","created_at":"2026-05-18T00:29:05Z"},{"alias_kind":"pith_short_12","alias_value":"EEL7BSEGVJHX","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EEL7BSEGVJHX2XRQ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EEL7BSEG","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:52e05a9821b4228346d71cc2179dc03493c0aedd78f8ae78be94fa67ccacb079","target":"graph","created_at":"2026-05-18T00:29:05Z","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":"Picard 2-categories are symmetric monoidal 2-categories with invertible 0-, 1-, and 2-cells. The classifying space of a Picard 2-category $\\mathcal{D}$ is an infinite loop space, the zeroth space of the $K$-theory spectrum $K\\mathcal{D}$. This spectrum has stable homotopy groups concentrated in levels 0, 1, and 2. In this paper, we describe part of the Postnikov data of $K\\mathcal{D}$ in terms of categorical structure. We use this to show that there is no strict skeletal Picard 2-category whose $K$-theory realizes the 2-truncation of the sphere spectrum. As part of the proof, we construct a ca","authors_text":"Ang\\'elica M. Osorno, Marc Stephan, Nick Gurski, Niles Johnson","cross_cats":["math.CT","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-06-22T18:16:38Z","title":"Stable Postnikov data of Picard 2-categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07032","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":"sha256:8bf8856e13a9024e168c5b45549fcc480242b2df0fe44d96be54bf32cc2d9eaa","target":"record","created_at":"2026-05-18T00:29:05Z","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":"d3d361fba0eacf9948108bbabe75b516f5fc19c9392ba437067f413eb37da296","cross_cats_sorted":["math.CT","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-06-22T18:16:38Z","title_canon_sha256":"479e2d12af3c4f1149e42a715ea348b46177d47a14333ffd155eda0d723a3468"},"schema_version":"1.0","source":{"id":"1606.07032","kind":"arxiv","version":2}},"canonical_sha256":"2117f0c886aa4f7d5e308e974d5878bb218dcab72112361ba5334c2af89053d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2117f0c886aa4f7d5e308e974d5878bb218dcab72112361ba5334c2af89053d0","first_computed_at":"2026-05-18T00:29:05.885481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:05.885481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QXlPfodhSSPIXEZy1zfzWsgewCjKLb3QMLBVBYJ6nvA/w7tvvNlIHupEyLVNCqK4EqoxVls2Z3TDaKensvZrDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:05.885916Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.07032","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bf8856e13a9024e168c5b45549fcc480242b2df0fe44d96be54bf32cc2d9eaa","sha256:52e05a9821b4228346d71cc2179dc03493c0aedd78f8ae78be94fa67ccacb079"],"state_sha256":"d6f54c3f4a9756957d38f160ec68483a3eb4b95f88d6a1a6ab25977c87c3a87a"}