{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LDP7HK2KZWDMTGGLDU36Y3ROYC","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":"02bf42aa8f374c8e812422c4e3b7a712727c8485a9abbf966cc06efd865fb929","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-07-03T05:34:23Z","title_canon_sha256":"d54f52c06364dc2be4e4955aab2665544b7e4a820f7cf423fb003b81ae5023aa"},"schema_version":"1.0","source":{"id":"2607.02976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.02976","created_at":"2026-07-07T01:16:38Z"},{"alias_kind":"arxiv_version","alias_value":"2607.02976v1","created_at":"2026-07-07T01:16:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.02976","created_at":"2026-07-07T01:16:38Z"},{"alias_kind":"pith_short_12","alias_value":"LDP7HK2KZWDM","created_at":"2026-07-07T01:16:38Z"},{"alias_kind":"pith_short_16","alias_value":"LDP7HK2KZWDMTGGL","created_at":"2026-07-07T01:16:38Z"},{"alias_kind":"pith_short_8","alias_value":"LDP7HK2K","created_at":"2026-07-07T01:16:38Z"}],"graph_snapshots":[{"event_id":"sha256:158ecc72187f6f880b29f52901dc6adbc2f2aaa88f18d0b919d95dc5df5f1f55","target":"graph","created_at":"2026-07-07T01:16:38Z","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/2607.02976/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove an analogue of Mackey's irreducibility criterion for compactly induced locally analytic representations of $p$-adic groups, where we induce from an open subgroup which is compact mod centre. We also discuss several examples.","authors_text":"Andreas Bode","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-07-03T05:34:23Z","title":"A Mackey criterion for locally analytic representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.02976","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":"sha256:38240408a7b7a8d24f178ace16efd7c57242462d0d56404126355ba770ad7179","target":"record","created_at":"2026-07-07T01:16:38Z","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":"02bf42aa8f374c8e812422c4e3b7a712727c8485a9abbf966cc06efd865fb929","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-07-03T05:34:23Z","title_canon_sha256":"d54f52c06364dc2be4e4955aab2665544b7e4a820f7cf423fb003b81ae5023aa"},"schema_version":"1.0","source":{"id":"2607.02976","kind":"arxiv","version":1}},"canonical_sha256":"58dff3ab4acd86c998cb1d37ec6e2ec0921a4d4321c27232868fe7d1568cecb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58dff3ab4acd86c998cb1d37ec6e2ec0921a4d4321c27232868fe7d1568cecb9","first_computed_at":"2026-07-07T01:16:38.360125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T01:16:38.360125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4eAAvNWAdiygyJtp/O/2Y9WNDGnUGJRMBNlLe5PnCbSWa4eVDQ60U/51/Sjutgxcwx9h5KJdE6ZHcbfO7BSvDw==","signature_status":"signed_v1","signed_at":"2026-07-07T01:16:38.360584Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.02976","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38240408a7b7a8d24f178ace16efd7c57242462d0d56404126355ba770ad7179","sha256:158ecc72187f6f880b29f52901dc6adbc2f2aaa88f18d0b919d95dc5df5f1f55"],"state_sha256":"ea88849ae98898f1580926425f7c2e109094b5eaf8ee6c834453d145a7856e3c"}