{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:OOHERAYE7DBLQUY2MV4EXUGC5D","short_pith_number":"pith:OOHERAYE","canonical_record":{"source":{"id":"2608.00845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-01T19:52:40Z","cross_cats_sorted":[],"title_canon_sha256":"730b25c3fd7273602d96a6d32ecfff7f0f808242633f01514202000b11f4d5de","abstract_canon_sha256":"86fd0e90d7cd9cf3fbe6507e569f73475491dcfc3daae783798403944db2fb59"},"schema_version":"1.0"},"canonical_sha256":"738e488304f8c2b8531a65784bd0c2e8e5b5a38697467d625bdf37e5a282c102","source":{"kind":"arxiv","id":"2608.00845","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.00845","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"arxiv_version","alias_value":"2608.00845v1","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00845","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"pith_short_12","alias_value":"OOHERAYE7DBL","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"pith_short_16","alias_value":"OOHERAYE7DBLQUY2","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"pith_short_8","alias_value":"OOHERAYE","created_at":"2026-08-04T01:55:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:OOHERAYE7DBLQUY2MV4EXUGC5D","target":"record","payload":{"canonical_record":{"source":{"id":"2608.00845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-01T19:52:40Z","cross_cats_sorted":[],"title_canon_sha256":"730b25c3fd7273602d96a6d32ecfff7f0f808242633f01514202000b11f4d5de","abstract_canon_sha256":"86fd0e90d7cd9cf3fbe6507e569f73475491dcfc3daae783798403944db2fb59"},"schema_version":"1.0"},"canonical_sha256":"738e488304f8c2b8531a65784bd0c2e8e5b5a38697467d625bdf37e5a282c102","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T01:55:15.081894Z","signature_b64":"UZXi7C47Pusntzl468QAdweIjJGyLt4JAK/V2sfQzjk8SJ6jJg+v85Ewp9JP7qGWf7PhWzVY08RmPEhLaU+XDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"738e488304f8c2b8531a65784bd0c2e8e5b5a38697467d625bdf37e5a282c102","last_reissued_at":"2026-08-04T01:55:15.080193Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T01:55:15.080193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.00845","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-04T01:55:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uLDoipa0Y27ivj/fp3tv9BFQQnBl3Ek2NXMClAmdSHlnlNB6MlRNcNmZRVnCC3GOTIP/l0BTJkG23+AaCYr9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T18:14:23.802035Z"},"content_sha256":"4fbe37b77a3afcbac3c0f2b1273ba5b964089d050a2ad75664e96313f45b0c9c","schema_version":"1.0","event_id":"sha256:4fbe37b77a3afcbac3c0f2b1273ba5b964089d050a2ad75664e96313f45b0c9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:OOHERAYE7DBLQUY2MV4EXUGC5D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"de Rham theory and locally analytic vectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Gal Porat, Hui Gao, L\\'eo Poyeton","submitted_at":"2026-08-01T19:52:40Z","abstract_excerpt":"Let $K_\\infty/K$ be a $p$-adic Lie extension of a $p$-adic field $K$. We study the subring of pro-analytic vectors in the de Rham period ring $\\mathbf{B}_{\\mathrm{dR}}^+(K_\\infty)$. We show that the pro-analytic subring admits a Galois-equivariant isomorphism with a formal power series ring $\\widehat{K}_{\\infty}^{\\mathrm{la}} [[t_{K_\\infty}]]$ if and only if $K_\\infty$ satisfies a certain orientability condition, which says that the $\\widehat{K}_\\infty$-level Sen operator admits a Galois-equivariant $\\mathbf{B}_{\\mathrm{dR}}^+$-lift. A key input is the vanishing of higher locally analytic vect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00845","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.00845/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-08-04T01:55:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hkLHRRmNd8TPPj0IuN6fxO2Nln2gwfRNDYiSvazaac0zz7NPCuYoR2626rYD2z75BdWxSes4Wa6VZWHalX1MBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T18:14:23.802688Z"},"content_sha256":"2f70a9268724c908b301f6e548ce88837959770b6524c970072f273d4c1e7190","schema_version":"1.0","event_id":"sha256:2f70a9268724c908b301f6e548ce88837959770b6524c970072f273d4c1e7190"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OOHERAYE7DBLQUY2MV4EXUGC5D/bundle.json","state_url":"https://pith.science/pith/OOHERAYE7DBLQUY2MV4EXUGC5D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OOHERAYE7DBLQUY2MV4EXUGC5D/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":"2026-08-09T18:14:23Z","links":{"resolver":"https://pith.science/pith/OOHERAYE7DBLQUY2MV4EXUGC5D","bundle":"https://pith.science/pith/OOHERAYE7DBLQUY2MV4EXUGC5D/bundle.json","state":"https://pith.science/pith/OOHERAYE7DBLQUY2MV4EXUGC5D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OOHERAYE7DBLQUY2MV4EXUGC5D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OOHERAYE7DBLQUY2MV4EXUGC5D","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":"86fd0e90d7cd9cf3fbe6507e569f73475491dcfc3daae783798403944db2fb59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-01T19:52:40Z","title_canon_sha256":"730b25c3fd7273602d96a6d32ecfff7f0f808242633f01514202000b11f4d5de"},"schema_version":"1.0","source":{"id":"2608.00845","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.00845","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"arxiv_version","alias_value":"2608.00845v1","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00845","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"pith_short_12","alias_value":"OOHERAYE7DBL","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"pith_short_16","alias_value":"OOHERAYE7DBLQUY2","created_at":"2026-08-04T01:55:15Z"},{"alias_kind":"pith_short_8","alias_value":"OOHERAYE","created_at":"2026-08-04T01:55:15Z"}],"graph_snapshots":[{"event_id":"sha256:2f70a9268724c908b301f6e548ce88837959770b6524c970072f273d4c1e7190","target":"graph","created_at":"2026-08-04T01:55:15Z","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/2608.00845/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $K_\\infty/K$ be a $p$-adic Lie extension of a $p$-adic field $K$. We study the subring of pro-analytic vectors in the de Rham period ring $\\mathbf{B}_{\\mathrm{dR}}^+(K_\\infty)$. We show that the pro-analytic subring admits a Galois-equivariant isomorphism with a formal power series ring $\\widehat{K}_{\\infty}^{\\mathrm{la}} [[t_{K_\\infty}]]$ if and only if $K_\\infty$ satisfies a certain orientability condition, which says that the $\\widehat{K}_\\infty$-level Sen operator admits a Galois-equivariant $\\mathbf{B}_{\\mathrm{dR}}^+$-lift. A key input is the vanishing of higher locally analytic vect","authors_text":"Gal Porat, Hui Gao, L\\'eo Poyeton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-01T19:52:40Z","title":"de Rham theory and locally analytic vectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00845","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":"sha256:4fbe37b77a3afcbac3c0f2b1273ba5b964089d050a2ad75664e96313f45b0c9c","target":"record","created_at":"2026-08-04T01:55:15Z","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":"86fd0e90d7cd9cf3fbe6507e569f73475491dcfc3daae783798403944db2fb59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-01T19:52:40Z","title_canon_sha256":"730b25c3fd7273602d96a6d32ecfff7f0f808242633f01514202000b11f4d5de"},"schema_version":"1.0","source":{"id":"2608.00845","kind":"arxiv","version":1}},"canonical_sha256":"738e488304f8c2b8531a65784bd0c2e8e5b5a38697467d625bdf37e5a282c102","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"738e488304f8c2b8531a65784bd0c2e8e5b5a38697467d625bdf37e5a282c102","first_computed_at":"2026-08-04T01:55:15.080193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T01:55:15.080193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UZXi7C47Pusntzl468QAdweIjJGyLt4JAK/V2sfQzjk8SJ6jJg+v85Ewp9JP7qGWf7PhWzVY08RmPEhLaU+XDA==","signature_status":"signed_v1","signed_at":"2026-08-04T01:55:15.081894Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.00845","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fbe37b77a3afcbac3c0f2b1273ba5b964089d050a2ad75664e96313f45b0c9c","sha256:2f70a9268724c908b301f6e548ce88837959770b6524c970072f273d4c1e7190"],"state_sha256":"b76f50b40f552b7bb32c6759d414c235d99b6203997059cd0ca495bf47710b97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LboS34BCRIa4h/5uVaMv62ty//3TAzqcYDROIcaXionPZFQlRWVwTks7LRqTFRwvTA6vBycIu67m+ZXLim+gAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T18:14:23.808957Z","bundle_sha256":"62fc8f94d957acd9bf4e0cda881eb4ecb8ebda2aee4613f26ac2d5e08a99589a"}}