{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:VBE5XPDHKMHXRUEA2PLTCN5JOV","short_pith_number":"pith:VBE5XPDH","schema_version":"1.0","canonical_sha256":"a849dbbc67530f78d080d3d73137a9757cc3484f3a2986219953ef051e2620ca","source":{"kind":"arxiv","id":"2412.07715","version":1},"attestation_state":"computed","paper":{"title":"The log Grothendieck ring of varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andreas Gross, David Holmes, Jesse Vogel, Leo Herr, Pim Spelier","submitted_at":"2024-12-10T18:07:13Z","abstract_excerpt":"We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``$P$'' over the usual Grothendieck ring.\n  We show the na\\\"ive definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does."},"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":"2412.07715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-12-10T18:07:13Z","cross_cats_sorted":[],"title_canon_sha256":"bb0eedb601eb814e6f1f93aa2588392528824f16b0c0191b1a3e9e7c68ece165","abstract_canon_sha256":"b7edeb69cf130d53dd3c532cc4e216e79b2a73abaeaf1b9da902cd0f4384fb51"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:47:14.366341Z","signature_b64":"HC7Y8en7UrSgKxVkgEsxwDyemt97bNwCWxVgHvH+naX+QrJd+N0zPVXqVzOFtFIR+kk+7/NiPxu+1QCM7nMXDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a849dbbc67530f78d080d3d73137a9757cc3484f3a2986219953ef051e2620ca","last_reissued_at":"2026-07-05T09:47:14.365794Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:47:14.365794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The log Grothendieck ring of varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andreas Gross, David Holmes, Jesse Vogel, Leo Herr, Pim Spelier","submitted_at":"2024-12-10T18:07:13Z","abstract_excerpt":"We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``$P$'' over the usual Grothendieck ring.\n  We show the na\\\"ive definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.07715","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/2412.07715/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":"2412.07715","created_at":"2026-07-05T09:47:14.365871+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.07715v1","created_at":"2026-07-05T09:47:14.365871+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.07715","created_at":"2026-07-05T09:47:14.365871+00:00"},{"alias_kind":"pith_short_12","alias_value":"VBE5XPDHKMHX","created_at":"2026-07-05T09:47:14.365871+00:00"},{"alias_kind":"pith_short_16","alias_value":"VBE5XPDHKMHXRUEA","created_at":"2026-07-05T09:47:14.365871+00:00"},{"alias_kind":"pith_short_8","alias_value":"VBE5XPDH","created_at":"2026-07-05T09:47:14.365871+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/VBE5XPDHKMHXRUEA2PLTCN5JOV","json":"https://pith.science/pith/VBE5XPDHKMHXRUEA2PLTCN5JOV.json","graph_json":"https://pith.science/api/pith-number/VBE5XPDHKMHXRUEA2PLTCN5JOV/graph.json","events_json":"https://pith.science/api/pith-number/VBE5XPDHKMHXRUEA2PLTCN5JOV/events.json","paper":"https://pith.science/paper/VBE5XPDH"},"agent_actions":{"view_html":"https://pith.science/pith/VBE5XPDHKMHXRUEA2PLTCN5JOV","download_json":"https://pith.science/pith/VBE5XPDHKMHXRUEA2PLTCN5JOV.json","view_paper":"https://pith.science/paper/VBE5XPDH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.07715&json=true","fetch_graph":"https://pith.science/api/pith-number/VBE5XPDHKMHXRUEA2PLTCN5JOV/graph.json","fetch_events":"https://pith.science/api/pith-number/VBE5XPDHKMHXRUEA2PLTCN5JOV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VBE5XPDHKMHXRUEA2PLTCN5JOV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VBE5XPDHKMHXRUEA2PLTCN5JOV/action/storage_attestation","attest_author":"https://pith.science/pith/VBE5XPDHKMHXRUEA2PLTCN5JOV/action/author_attestation","sign_citation":"https://pith.science/pith/VBE5XPDHKMHXRUEA2PLTCN5JOV/action/citation_signature","submit_replication":"https://pith.science/pith/VBE5XPDHKMHXRUEA2PLTCN5JOV/action/replication_record"}},"created_at":"2026-07-05T09:47:14.365871+00:00","updated_at":"2026-07-05T09:47:14.365871+00:00"}