{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:VXFHNQBCJCFTB7OKRGLZAADVD5","short_pith_number":"pith:VXFHNQBC","schema_version":"1.0","canonical_sha256":"adca76c022488b30fdca89979000751f6f01d615740d4aa24ae7f1742d496a73","source":{"kind":"arxiv","id":"2605.19983","version":1},"attestation_state":"computed","paper":{"title":"Tensor triangular geometry -- Notes for an Oberwolfach Seminar","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG","math.AT","math.RT"],"primary_cat":"math.CT","authors_text":"Henning Krause","submitted_at":"2026-05-19T15:24:11Z","abstract_excerpt":"These are the notes from lectures I gave at the Oberwolfach Seminar \"Tensor Triangular Geometry and Interactions\" which was held in October 2025. The aim of these notes is twofold: We develop notions of support for triangulated categories, and we apply them to classify thick and localising tensor ideals of categories that arise in modular representation theory of finite groups."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.19983","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2026-05-19T15:24:11Z","cross_cats_sorted":["math.AG","math.AT","math.RT"],"title_canon_sha256":"53bf321503db38a85ee605469fb3472ecfa7b6f18b08b9a4df45091ebabd22f4","abstract_canon_sha256":"7da87757b3396ba401e4f00bd6abbbe7aeb743edba1c22f93e8b0a084122f4e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T02:05:58.064267Z","signature_b64":"ULdRFH4tsUcI+/r/F4fDHHJlXr7xZo76G9som8X7ljwUzPxzNbP/XDESjqRF8YPWH36v1Db8bQ3pXFIv5LZ6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adca76c022488b30fdca89979000751f6f01d615740d4aa24ae7f1742d496a73","last_reissued_at":"2026-05-20T02:05:58.063825Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T02:05:58.063825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tensor triangular geometry -- Notes for an Oberwolfach Seminar","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG","math.AT","math.RT"],"primary_cat":"math.CT","authors_text":"Henning Krause","submitted_at":"2026-05-19T15:24:11Z","abstract_excerpt":"These are the notes from lectures I gave at the Oberwolfach Seminar \"Tensor Triangular Geometry and Interactions\" which was held in October 2025. The aim of these notes is twofold: We develop notions of support for triangulated categories, and we apply them to classify thick and localising tensor ideals of categories that arise in modular representation theory of finite groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19983","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/2605.19983/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.19983","created_at":"2026-05-20T02:05:58.063883+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.19983v1","created_at":"2026-05-20T02:05:58.063883+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19983","created_at":"2026-05-20T02:05:58.063883+00:00"},{"alias_kind":"pith_short_12","alias_value":"VXFHNQBCJCFT","created_at":"2026-05-20T02:05:58.063883+00:00"},{"alias_kind":"pith_short_16","alias_value":"VXFHNQBCJCFTB7OK","created_at":"2026-05-20T02:05:58.063883+00:00"},{"alias_kind":"pith_short_8","alias_value":"VXFHNQBC","created_at":"2026-05-20T02:05:58.063883+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VXFHNQBCJCFTB7OKRGLZAADVD5","json":"https://pith.science/pith/VXFHNQBCJCFTB7OKRGLZAADVD5.json","graph_json":"https://pith.science/api/pith-number/VXFHNQBCJCFTB7OKRGLZAADVD5/graph.json","events_json":"https://pith.science/api/pith-number/VXFHNQBCJCFTB7OKRGLZAADVD5/events.json","paper":"https://pith.science/paper/VXFHNQBC"},"agent_actions":{"view_html":"https://pith.science/pith/VXFHNQBCJCFTB7OKRGLZAADVD5","download_json":"https://pith.science/pith/VXFHNQBCJCFTB7OKRGLZAADVD5.json","view_paper":"https://pith.science/paper/VXFHNQBC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.19983&json=true","fetch_graph":"https://pith.science/api/pith-number/VXFHNQBCJCFTB7OKRGLZAADVD5/graph.json","fetch_events":"https://pith.science/api/pith-number/VXFHNQBCJCFTB7OKRGLZAADVD5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VXFHNQBCJCFTB7OKRGLZAADVD5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VXFHNQBCJCFTB7OKRGLZAADVD5/action/storage_attestation","attest_author":"https://pith.science/pith/VXFHNQBCJCFTB7OKRGLZAADVD5/action/author_attestation","sign_citation":"https://pith.science/pith/VXFHNQBCJCFTB7OKRGLZAADVD5/action/citation_signature","submit_replication":"https://pith.science/pith/VXFHNQBCJCFTB7OKRGLZAADVD5/action/replication_record"}},"created_at":"2026-05-20T02:05:58.063883+00:00","updated_at":"2026-05-20T02:05:58.063883+00:00"}