{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:GGPNSJLVFXLSCYA34LL5STAAHV","short_pith_number":"pith:GGPNSJLV","schema_version":"1.0","canonical_sha256":"319ed925752dd721601be2d7d94c003d4dfa1ff927b401c02824b27699b9f8e5","source":{"kind":"arxiv","id":"2606.17884","version":1},"attestation_state":"computed","paper":{"title":"Naive atoms of blowups: examples","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christian B\\\"ohning, Hans-Christian Graf von Bothmer, Zac Su'a","submitted_at":"2026-06-16T13:03:59Z","abstract_excerpt":"We define naive atomic decompositions of smooth projective varieties. We show that they satisfy a naive version of Iritani's blowup formula in several examples that are complicated enough to show most interesting features of the general theory while being simple enough to be computable by elementary methods."},"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":"2606.17884","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-06-16T13:03:59Z","cross_cats_sorted":[],"title_canon_sha256":"cd6cf0b5192c4a9e9519d67cf6207627080b62e8db44295f33684bb8a18e8e04","abstract_canon_sha256":"d455989ff3b5d4aa0cc301f05e730a70623f27c20e6b6c2ea9df0861afc1ec0c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:10:42.630811Z","signature_b64":"SE96uyqgNk9/At/bPHb99XbS/VD/8Ye4c7bpre5hw4Eqt8wN9H0XBMy0EyacJagNKXtB43e6nOBG/AskRyKhDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"319ed925752dd721601be2d7d94c003d4dfa1ff927b401c02824b27699b9f8e5","last_reissued_at":"2026-06-19T16:10:42.630405Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:10:42.630405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Naive atoms of blowups: examples","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christian B\\\"ohning, Hans-Christian Graf von Bothmer, Zac Su'a","submitted_at":"2026-06-16T13:03:59Z","abstract_excerpt":"We define naive atomic decompositions of smooth projective varieties. We show that they satisfy a naive version of Iritani's blowup formula in several examples that are complicated enough to show most interesting features of the general theory while being simple enough to be computable by elementary methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17884","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/2606.17884/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":"2606.17884","created_at":"2026-06-19T16:10:42.630465+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.17884v1","created_at":"2026-06-19T16:10:42.630465+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17884","created_at":"2026-06-19T16:10:42.630465+00:00"},{"alias_kind":"pith_short_12","alias_value":"GGPNSJLVFXLS","created_at":"2026-06-19T16:10:42.630465+00:00"},{"alias_kind":"pith_short_16","alias_value":"GGPNSJLVFXLSCYA3","created_at":"2026-06-19T16:10:42.630465+00:00"},{"alias_kind":"pith_short_8","alias_value":"GGPNSJLV","created_at":"2026-06-19T16:10:42.630465+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/GGPNSJLVFXLSCYA34LL5STAAHV","json":"https://pith.science/pith/GGPNSJLVFXLSCYA34LL5STAAHV.json","graph_json":"https://pith.science/api/pith-number/GGPNSJLVFXLSCYA34LL5STAAHV/graph.json","events_json":"https://pith.science/api/pith-number/GGPNSJLVFXLSCYA34LL5STAAHV/events.json","paper":"https://pith.science/paper/GGPNSJLV"},"agent_actions":{"view_html":"https://pith.science/pith/GGPNSJLVFXLSCYA34LL5STAAHV","download_json":"https://pith.science/pith/GGPNSJLVFXLSCYA34LL5STAAHV.json","view_paper":"https://pith.science/paper/GGPNSJLV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.17884&json=true","fetch_graph":"https://pith.science/api/pith-number/GGPNSJLVFXLSCYA34LL5STAAHV/graph.json","fetch_events":"https://pith.science/api/pith-number/GGPNSJLVFXLSCYA34LL5STAAHV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GGPNSJLVFXLSCYA34LL5STAAHV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GGPNSJLVFXLSCYA34LL5STAAHV/action/storage_attestation","attest_author":"https://pith.science/pith/GGPNSJLVFXLSCYA34LL5STAAHV/action/author_attestation","sign_citation":"https://pith.science/pith/GGPNSJLVFXLSCYA34LL5STAAHV/action/citation_signature","submit_replication":"https://pith.science/pith/GGPNSJLVFXLSCYA34LL5STAAHV/action/replication_record"}},"created_at":"2026-06-19T16:10:42.630465+00:00","updated_at":"2026-06-19T16:10:42.630465+00:00"}