{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:BOLEEMQDWRD6WIN67AQONL2UMD","short_pith_number":"pith:BOLEEMQD","canonical_record":{"source":{"id":"2507.20359","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-07-27T17:15:22Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"932422e938b21bf734e26a878b76510d640a19456c3160521c89082a533553af","abstract_canon_sha256":"009084c3992ed391f1b0d26e21c0c1b2a8cb2effb24c661d7283e255477095d5"},"schema_version":"1.0"},"canonical_sha256":"0b96423203b447eb21bef820e6af5460d558a3c1650c6997a43da5c9a38eace3","source":{"kind":"arxiv","id":"2507.20359","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.20359","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"arxiv_version","alias_value":"2507.20359v2","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.20359","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"pith_short_12","alias_value":"BOLEEMQDWRD6","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"pith_short_16","alias_value":"BOLEEMQDWRD6WIN6","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"pith_short_8","alias_value":"BOLEEMQD","created_at":"2026-07-05T11:58:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:BOLEEMQDWRD6WIN67AQONL2UMD","target":"record","payload":{"canonical_record":{"source":{"id":"2507.20359","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-07-27T17:15:22Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"932422e938b21bf734e26a878b76510d640a19456c3160521c89082a533553af","abstract_canon_sha256":"009084c3992ed391f1b0d26e21c0c1b2a8cb2effb24c661d7283e255477095d5"},"schema_version":"1.0"},"canonical_sha256":"0b96423203b447eb21bef820e6af5460d558a3c1650c6997a43da5c9a38eace3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:58:33.216972Z","signature_b64":"m/PCz2jURUSHUIsR0jbee/4rztoW9AXkxkqhJfbHpgBW1vME0jp+fUyyaytYmMUNtJ/+kpJnjrB87f/Jpq/LDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b96423203b447eb21bef820e6af5460d558a3c1650c6997a43da5c9a38eace3","last_reissued_at":"2026-07-05T11:58:33.216564Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:58:33.216564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.20359","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":"2026-07-05T11:58:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d2J/eOOXkc4E7KUS69IAZch7jbTfsyi226FM+jw5fn3Qj5Ly3mrIRuccKI5GS1yC9IOONk9gXhG1HVA6WuAoAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T11:25:22.662698Z"},"content_sha256":"32ab5671ca46fe09baec423cfe305391888ba220a26bbdb4d7ce0161e7907ee7","schema_version":"1.0","event_id":"sha256:32ab5671ca46fe09baec423cfe305391888ba220a26bbdb4d7ce0161e7907ee7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:BOLEEMQDWRD6WIN67AQONL2UMD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adelic descent for continuous localizing invariants","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Grigorii Konovalov","submitted_at":"2025-07-27T17:15:22Z","abstract_excerpt":"We prove a version of adelic descent for continuous localizing invariants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.20359","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/2507.20359/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":"2026-07-05T11:58:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"idi9CYsOgqVzuOPB+fgx/cgjsRAl3F2NI8Px3KvB+Jp07QbiuC94Wc1XQFaWv77+CCLlENQuArQhKabNkmzMDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T11:25:22.663786Z"},"content_sha256":"5e6dd0474d0d89ee4e0a669dd6c313727335ebf3112fe4f2fa1ebd6b789e8e7b","schema_version":"1.0","event_id":"sha256:5e6dd0474d0d89ee4e0a669dd6c313727335ebf3112fe4f2fa1ebd6b789e8e7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BOLEEMQDWRD6WIN67AQONL2UMD/bundle.json","state_url":"https://pith.science/pith/BOLEEMQDWRD6WIN67AQONL2UMD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BOLEEMQDWRD6WIN67AQONL2UMD/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":"2026-08-18T11:25:22Z","links":{"resolver":"https://pith.science/pith/BOLEEMQDWRD6WIN67AQONL2UMD","bundle":"https://pith.science/pith/BOLEEMQDWRD6WIN67AQONL2UMD/bundle.json","state":"https://pith.science/pith/BOLEEMQDWRD6WIN67AQONL2UMD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BOLEEMQDWRD6WIN67AQONL2UMD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BOLEEMQDWRD6WIN67AQONL2UMD","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":"009084c3992ed391f1b0d26e21c0c1b2a8cb2effb24c661d7283e255477095d5","cross_cats_sorted":["math.NT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-07-27T17:15:22Z","title_canon_sha256":"932422e938b21bf734e26a878b76510d640a19456c3160521c89082a533553af"},"schema_version":"1.0","source":{"id":"2507.20359","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.20359","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"arxiv_version","alias_value":"2507.20359v2","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.20359","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"pith_short_12","alias_value":"BOLEEMQDWRD6","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"pith_short_16","alias_value":"BOLEEMQDWRD6WIN6","created_at":"2026-07-05T11:58:33Z"},{"alias_kind":"pith_short_8","alias_value":"BOLEEMQD","created_at":"2026-07-05T11:58:33Z"}],"graph_snapshots":[{"event_id":"sha256:5e6dd0474d0d89ee4e0a669dd6c313727335ebf3112fe4f2fa1ebd6b789e8e7b","target":"graph","created_at":"2026-07-05T11:58:33Z","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/2507.20359/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a version of adelic descent for continuous localizing invariants.","authors_text":"Grigorii Konovalov","cross_cats":["math.NT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-07-27T17:15:22Z","title":"Adelic descent for continuous localizing invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.20359","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":"sha256:32ab5671ca46fe09baec423cfe305391888ba220a26bbdb4d7ce0161e7907ee7","target":"record","created_at":"2026-07-05T11:58:33Z","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":"009084c3992ed391f1b0d26e21c0c1b2a8cb2effb24c661d7283e255477095d5","cross_cats_sorted":["math.NT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-07-27T17:15:22Z","title_canon_sha256":"932422e938b21bf734e26a878b76510d640a19456c3160521c89082a533553af"},"schema_version":"1.0","source":{"id":"2507.20359","kind":"arxiv","version":2}},"canonical_sha256":"0b96423203b447eb21bef820e6af5460d558a3c1650c6997a43da5c9a38eace3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b96423203b447eb21bef820e6af5460d558a3c1650c6997a43da5c9a38eace3","first_computed_at":"2026-07-05T11:58:33.216564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:58:33.216564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m/PCz2jURUSHUIsR0jbee/4rztoW9AXkxkqhJfbHpgBW1vME0jp+fUyyaytYmMUNtJ/+kpJnjrB87f/Jpq/LDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:58:33.216972Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.20359","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32ab5671ca46fe09baec423cfe305391888ba220a26bbdb4d7ce0161e7907ee7","sha256:5e6dd0474d0d89ee4e0a669dd6c313727335ebf3112fe4f2fa1ebd6b789e8e7b"],"state_sha256":"c654aa964ffcf5a7df92364b33aaf27d10caf08d654cd86d0d011a161f242b7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xm3fZXRE4OwiIzoStmwtypokL/F8sRwm5vkpcWo76RyLeLaNonAevkvNDNDQlEebr4UowtJqr3MGeDUPhPpVBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T11:25:22.673008Z","bundle_sha256":"069b76f3b9dafaeceafe189e242230fc67e2ddb4c0d46d61d60ec10b047db892"}}