{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:CVEDPRNIGNXC7MECAVPW2OY774","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":"f6dbcf2a0f58ac11ad208b3f14b8575043284accf92904e0177c91237a3bd230","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-06-30T22:48:50Z","title_canon_sha256":"cecdf0218f7e85ee483d9b60ab7d60948dcd0a179d67e7e364cb0f6fefcf8e23"},"schema_version":"1.0","source":{"id":"2507.00309","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.00309","created_at":"2026-07-05T11:30:06Z"},{"alias_kind":"arxiv_version","alias_value":"2507.00309v1","created_at":"2026-07-05T11:30:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.00309","created_at":"2026-07-05T11:30:06Z"},{"alias_kind":"pith_short_12","alias_value":"CVEDPRNIGNXC","created_at":"2026-07-05T11:30:06Z"},{"alias_kind":"pith_short_16","alias_value":"CVEDPRNIGNXC7MEC","created_at":"2026-07-05T11:30:06Z"},{"alias_kind":"pith_short_8","alias_value":"CVEDPRNI","created_at":"2026-07-05T11:30:06Z"}],"graph_snapshots":[{"event_id":"sha256:c8c758c0fa1615c358e4c41728be3f47c047b3a56e3a6c96d8d53d80b608fbf4","target":"graph","created_at":"2026-07-05T11:30:06Z","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/2507.00309/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Suppose we are given a profinite group $G$ acting on a formal moduli stack $\\mathcal{M}$, and we want to understand the group action, and compute cohomology related to this group action. How can we do it? This prolegomenon surveys two methods of pinning down such an action: geometric modeling and the two tower method. We highlight their use on a specific action - the automorphisms of a formal group acting on its deformation space, called the Lubin-Tate action.","authors_text":"Rin Ray","cross_cats":["math.AT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-06-30T22:48:50Z","title":"Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.00309","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:b73357cdfa33cb32467aedaf90601feb9ffa8b27628936d26055506a1c8f37d9","target":"record","created_at":"2026-07-05T11:30:06Z","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":"f6dbcf2a0f58ac11ad208b3f14b8575043284accf92904e0177c91237a3bd230","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-06-30T22:48:50Z","title_canon_sha256":"cecdf0218f7e85ee483d9b60ab7d60948dcd0a179d67e7e364cb0f6fefcf8e23"},"schema_version":"1.0","source":{"id":"2507.00309","kind":"arxiv","version":1}},"canonical_sha256":"154837c5a8336e2fb082055f6d3b1fff0656d139d2d87893c4a2f49c519c1901","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"154837c5a8336e2fb082055f6d3b1fff0656d139d2d87893c4a2f49c519c1901","first_computed_at":"2026-07-05T11:30:06.059706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:30:06.059706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QYg8vBzhga/1/FRejH1s+xEHGxjAW4aoGp3CuD/8JdhlVuepjQwzOIWYnE0Sty1QKQpzLco51qFhTRB5jQsIAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:30:06.060158Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.00309","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b73357cdfa33cb32467aedaf90601feb9ffa8b27628936d26055506a1c8f37d9","sha256:c8c758c0fa1615c358e4c41728be3f47c047b3a56e3a6c96d8d53d80b608fbf4"],"state_sha256":"db7a3816bede893f198ece2671bd7e2e7145fd4ea13118fdc89e61d91c922774"}