{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:FHFROYXJHXOUEM6AKFEN2OET5Q","short_pith_number":"pith:FHFROYXJ","schema_version":"1.0","canonical_sha256":"29cb1762e93ddd4233c05148dd3893ec36ee1248853c4364c4d9ea2db7067c97","source":{"kind":"arxiv","id":"2009.04690","version":6},"attestation_state":"computed","paper":{"title":"On tropical cohomology of smooth algebraic varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ryota Mikami","submitted_at":"2020-09-10T06:58:43Z","abstract_excerpt":"In this paper, we give an explicit description of tropical cohomology of smooth algebraic varieties over trivially valued fields. We also construct ``monodromy weight'' spectral sequences for tropical cohomology of geometric strictly semi-stable reductions."},"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":"2009.04690","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-09-10T06:58:43Z","cross_cats_sorted":[],"title_canon_sha256":"2ac8842eedbaadd1f84f08b3cc5fe000fbeee094ed527bcc8df3ca753cd817d0","abstract_canon_sha256":"70a711460db83e2132e01f9903de5a0d1f11052bf3f25bd7ec5a89d3e801b7da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:40:46.218939Z","signature_b64":"bEogUG10zoY5Gx6vsMb2MbOi/ueLEkXwu7fkdvR1VVebBGmig5ZDRwEdTABt+a6fHsLUA2gIBl3neyFXGJdIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29cb1762e93ddd4233c05148dd3893ec36ee1248853c4364c4d9ea2db7067c97","last_reissued_at":"2026-07-05T11:40:46.218434Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:40:46.218434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On tropical cohomology of smooth algebraic varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ryota Mikami","submitted_at":"2020-09-10T06:58:43Z","abstract_excerpt":"In this paper, we give an explicit description of tropical cohomology of smooth algebraic varieties over trivially valued fields. We also construct ``monodromy weight'' spectral sequences for tropical cohomology of geometric strictly semi-stable reductions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.04690","kind":"arxiv","version":6},"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/2009.04690/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":"2009.04690","created_at":"2026-07-05T11:40:46.218499+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.04690v6","created_at":"2026-07-05T11:40:46.218499+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.04690","created_at":"2026-07-05T11:40:46.218499+00:00"},{"alias_kind":"pith_short_12","alias_value":"FHFROYXJHXOU","created_at":"2026-07-05T11:40:46.218499+00:00"},{"alias_kind":"pith_short_16","alias_value":"FHFROYXJHXOUEM6A","created_at":"2026-07-05T11:40:46.218499+00:00"},{"alias_kind":"pith_short_8","alias_value":"FHFROYXJ","created_at":"2026-07-05T11:40:46.218499+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.01726","citing_title":"Space of prime congruences in tropical geometry","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2605.24888","citing_title":"Tropical cohomology via reductions of tropical varieties","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2412.20748","citing_title":"Tropical intersection homology","ref_index":10,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FHFROYXJHXOUEM6AKFEN2OET5Q","json":"https://pith.science/pith/FHFROYXJHXOUEM6AKFEN2OET5Q.json","graph_json":"https://pith.science/api/pith-number/FHFROYXJHXOUEM6AKFEN2OET5Q/graph.json","events_json":"https://pith.science/api/pith-number/FHFROYXJHXOUEM6AKFEN2OET5Q/events.json","paper":"https://pith.science/paper/FHFROYXJ"},"agent_actions":{"view_html":"https://pith.science/pith/FHFROYXJHXOUEM6AKFEN2OET5Q","download_json":"https://pith.science/pith/FHFROYXJHXOUEM6AKFEN2OET5Q.json","view_paper":"https://pith.science/paper/FHFROYXJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.04690&json=true","fetch_graph":"https://pith.science/api/pith-number/FHFROYXJHXOUEM6AKFEN2OET5Q/graph.json","fetch_events":"https://pith.science/api/pith-number/FHFROYXJHXOUEM6AKFEN2OET5Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FHFROYXJHXOUEM6AKFEN2OET5Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FHFROYXJHXOUEM6AKFEN2OET5Q/action/storage_attestation","attest_author":"https://pith.science/pith/FHFROYXJHXOUEM6AKFEN2OET5Q/action/author_attestation","sign_citation":"https://pith.science/pith/FHFROYXJHXOUEM6AKFEN2OET5Q/action/citation_signature","submit_replication":"https://pith.science/pith/FHFROYXJHXOUEM6AKFEN2OET5Q/action/replication_record"}},"created_at":"2026-07-05T11:40:46.218499+00:00","updated_at":"2026-07-05T11:40:46.218499+00:00"}