{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:5PUSHBT5JM5GR3WZOAACFEZSBI","short_pith_number":"pith:5PUSHBT5","canonical_record":{"source":{"id":"2405.10048","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-05-16T12:34:07Z","cross_cats_sorted":[],"title_canon_sha256":"b11c68f4ff4b8cd23397db78491d783b8f767aa9ce3c4ec8ea2168e80d4e0950","abstract_canon_sha256":"16cdba02a854aa18d618c89bbf7e806ab8744da909291f1a5c23c3cb488db152"},"schema_version":"1.0"},"canonical_sha256":"ebe923867d4b3a68eed970002293320a35f0e0c4f6ae69ea8be05036b77a1ed5","source":{"kind":"arxiv","id":"2405.10048","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.10048","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"2405.10048v2","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.10048","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"5PUSHBT5JM5G","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"pith_short_16","alias_value":"5PUSHBT5JM5GR3WZ","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"pith_short_8","alias_value":"5PUSHBT5","created_at":"2026-07-05T09:00:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:5PUSHBT5JM5GR3WZOAACFEZSBI","target":"record","payload":{"canonical_record":{"source":{"id":"2405.10048","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-05-16T12:34:07Z","cross_cats_sorted":[],"title_canon_sha256":"b11c68f4ff4b8cd23397db78491d783b8f767aa9ce3c4ec8ea2168e80d4e0950","abstract_canon_sha256":"16cdba02a854aa18d618c89bbf7e806ab8744da909291f1a5c23c3cb488db152"},"schema_version":"1.0"},"canonical_sha256":"ebe923867d4b3a68eed970002293320a35f0e0c4f6ae69ea8be05036b77a1ed5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:00:37.294663Z","signature_b64":"FL2qHPmAmI87FRkKOXIWGazzcLhRXXKQUzQpuC2IXIer8iXX1x/qBGMtJzdclCxxUuJjfwWzk3AGE9tZZxBXAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebe923867d4b3a68eed970002293320a35f0e0c4f6ae69ea8be05036b77a1ed5","last_reissued_at":"2026-07-05T09:00:37.294164Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:00:37.294164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.10048","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:00:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XzSRxlwPMQJLAKK3MsYUgj0BuwCbHjE/rswpSAgaRNM6HUCICLjqQPcG5o9odKFWsVEkBBn/5Uv6Ydjd+bsGCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:06:36.455250Z"},"content_sha256":"fa0c9bf8dfec7b228634108b370f9aaf58a073e9540a7c45ab8ac9a35f60a7cd","schema_version":"1.0","event_id":"sha256:fa0c9bf8dfec7b228634108b370f9aaf58a073e9540a7c45ab8ac9a35f60a7cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:5PUSHBT5JM5GR3WZOAACFEZSBI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cohomologie de syst\\`emes locaux $p$-adiques sur les rev\\^etements du demi-plan de Drinfeld","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Arnaud Vanhaecke","submitted_at":"2024-05-16T12:34:07Z","abstract_excerpt":"Colmez, Dospinescu and Niziol have shown that the only $p$-adic representations of $\\rm{Gal}(\\bar{\\mathbb{Q}}_p/\\mathbb{Q}_p)$ appearing in the $p$-adic \\'etale cohomology of the coverings of Drinfeld's half-plane are the $2$-dimensional cuspidal representations (i.e. potentially semi-stable, whose associated Weil-Deligne representation is irreducible) with Hodge-Tate weights $0$ and $1$ and their multiplicities are given by the $p$-adic Langlands correspondence. We generalise this result to arbitrary weights, by considering the $p$-adic \\'etale cohomology with coefficients in the symmetric po"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.10048","kind":"arxiv","version":2},"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/2405.10048/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":"2026-07-05T09:00:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"askp/DJM85TZsZNxBdD3jEP9kc91hifW3qGC2g5nVlJA6DOosjq8fUQjf7jrNfLut7tST5behYngPtPhW9cEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:06:36.456167Z"},"content_sha256":"2cc951cfbbabdb4c9a417788ef6c2dd5060e2107d1bc1b51edef1b9fc1a3c034","schema_version":"1.0","event_id":"sha256:2cc951cfbbabdb4c9a417788ef6c2dd5060e2107d1bc1b51edef1b9fc1a3c034"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5PUSHBT5JM5GR3WZOAACFEZSBI/bundle.json","state_url":"https://pith.science/pith/5PUSHBT5JM5GR3WZOAACFEZSBI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5PUSHBT5JM5GR3WZOAACFEZSBI/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":"2026-08-05T22:06:36Z","links":{"resolver":"https://pith.science/pith/5PUSHBT5JM5GR3WZOAACFEZSBI","bundle":"https://pith.science/pith/5PUSHBT5JM5GR3WZOAACFEZSBI/bundle.json","state":"https://pith.science/pith/5PUSHBT5JM5GR3WZOAACFEZSBI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5PUSHBT5JM5GR3WZOAACFEZSBI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5PUSHBT5JM5GR3WZOAACFEZSBI","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":"16cdba02a854aa18d618c89bbf7e806ab8744da909291f1a5c23c3cb488db152","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-05-16T12:34:07Z","title_canon_sha256":"b11c68f4ff4b8cd23397db78491d783b8f767aa9ce3c4ec8ea2168e80d4e0950"},"schema_version":"1.0","source":{"id":"2405.10048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.10048","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"2405.10048v2","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.10048","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"5PUSHBT5JM5G","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"pith_short_16","alias_value":"5PUSHBT5JM5GR3WZ","created_at":"2026-07-05T09:00:37Z"},{"alias_kind":"pith_short_8","alias_value":"5PUSHBT5","created_at":"2026-07-05T09:00:37Z"}],"graph_snapshots":[{"event_id":"sha256:2cc951cfbbabdb4c9a417788ef6c2dd5060e2107d1bc1b51edef1b9fc1a3c034","target":"graph","created_at":"2026-07-05T09:00:37Z","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/2405.10048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Colmez, Dospinescu and Niziol have shown that the only $p$-adic representations of $\\rm{Gal}(\\bar{\\mathbb{Q}}_p/\\mathbb{Q}_p)$ appearing in the $p$-adic \\'etale cohomology of the coverings of Drinfeld's half-plane are the $2$-dimensional cuspidal representations (i.e. potentially semi-stable, whose associated Weil-Deligne representation is irreducible) with Hodge-Tate weights $0$ and $1$ and their multiplicities are given by the $p$-adic Langlands correspondence. We generalise this result to arbitrary weights, by considering the $p$-adic \\'etale cohomology with coefficients in the symmetric po","authors_text":"Arnaud Vanhaecke","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-05-16T12:34:07Z","title":"Cohomologie de syst\\`emes locaux $p$-adiques sur les rev\\^etements du demi-plan de Drinfeld"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.10048","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:fa0c9bf8dfec7b228634108b370f9aaf58a073e9540a7c45ab8ac9a35f60a7cd","target":"record","created_at":"2026-07-05T09:00:37Z","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":"16cdba02a854aa18d618c89bbf7e806ab8744da909291f1a5c23c3cb488db152","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-05-16T12:34:07Z","title_canon_sha256":"b11c68f4ff4b8cd23397db78491d783b8f767aa9ce3c4ec8ea2168e80d4e0950"},"schema_version":"1.0","source":{"id":"2405.10048","kind":"arxiv","version":2}},"canonical_sha256":"ebe923867d4b3a68eed970002293320a35f0e0c4f6ae69ea8be05036b77a1ed5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebe923867d4b3a68eed970002293320a35f0e0c4f6ae69ea8be05036b77a1ed5","first_computed_at":"2026-07-05T09:00:37.294164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:00:37.294164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FL2qHPmAmI87FRkKOXIWGazzcLhRXXKQUzQpuC2IXIer8iXX1x/qBGMtJzdclCxxUuJjfwWzk3AGE9tZZxBXAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:00:37.294663Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.10048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa0c9bf8dfec7b228634108b370f9aaf58a073e9540a7c45ab8ac9a35f60a7cd","sha256:2cc951cfbbabdb4c9a417788ef6c2dd5060e2107d1bc1b51edef1b9fc1a3c034"],"state_sha256":"f115119ba422c1ff5891d40ee02c4465fb4d9a3da82f89f71e9d35221ab4c744"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pOH7ighi9IytnizmoEiW2kJEsVP5wlC0LhInD9/L0Wce066q+PJVUof1VHvtApg4JBqmQJBSinXEqe+ohIQCAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T22:06:36.462084Z","bundle_sha256":"c19ebc720c0e7261e1e91df33b40681a00bb2af5ff087dacfa59feabfaf66381"}}