{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:FQWKXWO4GWXPEWBWFUNKHV2WCA","short_pith_number":"pith:FQWKXWO4","canonical_record":{"source":{"id":"math/0601100","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2006-01-05T16:10:24Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"2c0e17ebbf707ee384f91db2e0efda55e88c0f4ea2780fdab75ca08014982b5a","abstract_canon_sha256":"7ab06051a15b849f68a61551c0f0721f260543861e85c5159d02ceb3f77caac5"},"schema_version":"1.0"},"canonical_sha256":"2c2cabd9dc35aef258362d1aa3d75610373f1b28046e7c0569a82ad7312aac1c","source":{"kind":"arxiv","id":"math/0601100","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601100","created_at":"2026-05-18T01:05:22Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601100v2","created_at":"2026-05-18T01:05:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601100","created_at":"2026-05-18T01:05:22Z"},{"alias_kind":"pith_short_12","alias_value":"FQWKXWO4GWXP","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"FQWKXWO4GWXPEWBW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"FQWKXWO4","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:FQWKXWO4GWXPEWBWFUNKHV2WCA","target":"record","payload":{"canonical_record":{"source":{"id":"math/0601100","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2006-01-05T16:10:24Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"2c0e17ebbf707ee384f91db2e0efda55e88c0f4ea2780fdab75ca08014982b5a","abstract_canon_sha256":"7ab06051a15b849f68a61551c0f0721f260543861e85c5159d02ceb3f77caac5"},"schema_version":"1.0"},"canonical_sha256":"2c2cabd9dc35aef258362d1aa3d75610373f1b28046e7c0569a82ad7312aac1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:22.840979Z","signature_b64":"ycbKyjCOdtphRRDo/8nwNQIxeRegSptoU8IzYj7i3Kay1mKitayZNVhmywgukxykCfRi/nHKnvFxyRxi6ZLTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c2cabd9dc35aef258362d1aa3d75610373f1b28046e7c0569a82ad7312aac1c","last_reissued_at":"2026-05-18T01:05:22.840389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:22.840389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0601100","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":"2026-05-18T01:05:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UkwxXxBRdtsl+godxNBJuhr7IcN/m4Qjp4bitPWLODh3PLelJRPUEwVW1FZ0QymKLNOOIyC8RB7AFWTREKwwBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:05:29.902000Z"},"content_sha256":"af3e7436f91c78b5612661c5e07143dc46eedb665e9daead53ffdd0efb7ce9c3","schema_version":"1.0","event_id":"sha256:af3e7436f91c78b5612661c5e07143dc46eedb665e9daead53ffdd0efb7ce9c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:FQWKXWO4GWXPEWBWFUNKHV2WCA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On l-independence for the etale cohomology of rigid spaces over local fields","license":"","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Yoichi Mieda","submitted_at":"2006-01-05T16:10:24Z","abstract_excerpt":"We investigate the action of the Weil group on the compactly supported l-adic etale cohomology groups of rigid spaces over a local field. We prove that the alternating sum of the traces of the action is an integer and is independent of l when either the rigid space is smooth or the characteristic of the base field is equal to 0.\n We modify the argument of T. Saito to prove a result on l-independence for nearby cycle cohomology, which leads to our l-independence result for smooth rigid spaces.\n In the general case, we use the finiteness theorem of R. Huber, which requires the restriction on the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601100","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":""},"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":"2026-05-18T01:05:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1up3XbwgkZsB/N7EYkDnMSbOGhHiXTXaKbd97RlVfNkEJ6IQZbYSGOkgRxsn/I9E5yS4jDV/pO52my0IzI3jAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:05:29.902671Z"},"content_sha256":"80d8073cc6fb96c635a2ac10e0858c5a177f478ae632b3fe56982b9c2ed93762","schema_version":"1.0","event_id":"sha256:80d8073cc6fb96c635a2ac10e0858c5a177f478ae632b3fe56982b9c2ed93762"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FQWKXWO4GWXPEWBWFUNKHV2WCA/bundle.json","state_url":"https://pith.science/pith/FQWKXWO4GWXPEWBWFUNKHV2WCA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FQWKXWO4GWXPEWBWFUNKHV2WCA/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":"2026-06-11T00:05:29Z","links":{"resolver":"https://pith.science/pith/FQWKXWO4GWXPEWBWFUNKHV2WCA","bundle":"https://pith.science/pith/FQWKXWO4GWXPEWBWFUNKHV2WCA/bundle.json","state":"https://pith.science/pith/FQWKXWO4GWXPEWBWFUNKHV2WCA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FQWKXWO4GWXPEWBWFUNKHV2WCA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:FQWKXWO4GWXPEWBWFUNKHV2WCA","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":"7ab06051a15b849f68a61551c0f0721f260543861e85c5159d02ceb3f77caac5","cross_cats_sorted":["math.NT"],"license":"","primary_cat":"math.AG","submitted_at":"2006-01-05T16:10:24Z","title_canon_sha256":"2c0e17ebbf707ee384f91db2e0efda55e88c0f4ea2780fdab75ca08014982b5a"},"schema_version":"1.0","source":{"id":"math/0601100","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601100","created_at":"2026-05-18T01:05:22Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601100v2","created_at":"2026-05-18T01:05:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601100","created_at":"2026-05-18T01:05:22Z"},{"alias_kind":"pith_short_12","alias_value":"FQWKXWO4GWXP","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"FQWKXWO4GWXPEWBW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"FQWKXWO4","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:80d8073cc6fb96c635a2ac10e0858c5a177f478ae632b3fe56982b9c2ed93762","target":"graph","created_at":"2026-05-18T01:05:22Z","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":"We investigate the action of the Weil group on the compactly supported l-adic etale cohomology groups of rigid spaces over a local field. We prove that the alternating sum of the traces of the action is an integer and is independent of l when either the rigid space is smooth or the characteristic of the base field is equal to 0.\n We modify the argument of T. Saito to prove a result on l-independence for nearby cycle cohomology, which leads to our l-independence result for smooth rigid spaces.\n In the general case, we use the finiteness theorem of R. Huber, which requires the restriction on the","authors_text":"Yoichi Mieda","cross_cats":["math.NT"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2006-01-05T16:10:24Z","title":"On l-independence for the etale cohomology of rigid spaces over local fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601100","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:af3e7436f91c78b5612661c5e07143dc46eedb665e9daead53ffdd0efb7ce9c3","target":"record","created_at":"2026-05-18T01:05:22Z","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":"7ab06051a15b849f68a61551c0f0721f260543861e85c5159d02ceb3f77caac5","cross_cats_sorted":["math.NT"],"license":"","primary_cat":"math.AG","submitted_at":"2006-01-05T16:10:24Z","title_canon_sha256":"2c0e17ebbf707ee384f91db2e0efda55e88c0f4ea2780fdab75ca08014982b5a"},"schema_version":"1.0","source":{"id":"math/0601100","kind":"arxiv","version":2}},"canonical_sha256":"2c2cabd9dc35aef258362d1aa3d75610373f1b28046e7c0569a82ad7312aac1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c2cabd9dc35aef258362d1aa3d75610373f1b28046e7c0569a82ad7312aac1c","first_computed_at":"2026-05-18T01:05:22.840389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:22.840389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ycbKyjCOdtphRRDo/8nwNQIxeRegSptoU8IzYj7i3Kay1mKitayZNVhmywgukxykCfRi/nHKnvFxyRxi6ZLTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:22.840979Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601100","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af3e7436f91c78b5612661c5e07143dc46eedb665e9daead53ffdd0efb7ce9c3","sha256:80d8073cc6fb96c635a2ac10e0858c5a177f478ae632b3fe56982b9c2ed93762"],"state_sha256":"61a2922dc86c081a0e380b149ffd38bdeeef8503a34a6399f344fc75d003a826"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pj+nvm0Vkf8Cq0zWv19FuStu9X0M4+YHEMZoCL17clhqRq8Ntk+3p6Zc9C0tU5GnkMitMzgKBv2khnmO2LrWBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T00:05:29.906192Z","bundle_sha256":"c0dcb22fe518a7d9ae262dd8e4e025de6fcd888f2d931a1795fc80ae7f768762"}}