{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:NKH7VSPJG6SIWDYAVZ7SUH7LRX","short_pith_number":"pith:NKH7VSPJ","schema_version":"1.0","canonical_sha256":"6a8ffac9e937a48b0f00ae7f2a1feb8deaad5130360801627363f933983035ac","source":{"kind":"arxiv","id":"1208.6240","version":1},"attestation_state":"computed","paper":{"title":"Mahler measure of some singular K3-surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Amy Feaver, Jenny Fuselier, Marie-Jose Bertin, Matilde Lalin, Michelle Manes","submitted_at":"2012-08-30T17:10:52Z","abstract_excerpt":"We study the Mahler measure of the three-variable Laurent polynomial x + 1/x + y + 1/y + z + 1/z - k where k is a parameter. The zeros of this polynomial define (after desingularization) a family of K3-surfaces. In favorable cases, the K3-surface has Picard number 20, and the Mahler measure is related to its L-function. This was first studied by Marie-Jose Bertin. In this work, we prove several new formulas, extending the earlier work of Bertin."},"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":"1208.6240","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-08-30T17:10:52Z","cross_cats_sorted":[],"title_canon_sha256":"690880bd988b3b52014270b31edc6cde7aa7cdfcddcff681e4e6d6355f13b06c","abstract_canon_sha256":"c07ab9f8e130e588cdd790a651822a7969cfa359095bf7d83a2857d7e92519fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:46.102712Z","signature_b64":"p0C8VUy/3prfKfLqgQQUgLQF2n4NL5eEsyBkC/HQBogwXEYTG6sq5xLb3oXT9+0jJ8biUT+dsZhUuFdKkGS1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a8ffac9e937a48b0f00ae7f2a1feb8deaad5130360801627363f933983035ac","last_reissued_at":"2026-05-18T03:46:46.102085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:46.102085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mahler measure of some singular K3-surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Amy Feaver, Jenny Fuselier, Marie-Jose Bertin, Matilde Lalin, Michelle Manes","submitted_at":"2012-08-30T17:10:52Z","abstract_excerpt":"We study the Mahler measure of the three-variable Laurent polynomial x + 1/x + y + 1/y + z + 1/z - k where k is a parameter. The zeros of this polynomial define (after desingularization) a family of K3-surfaces. In favorable cases, the K3-surface has Picard number 20, and the Mahler measure is related to its L-function. This was first studied by Marie-Jose Bertin. In this work, we prove several new formulas, extending the earlier work of Bertin."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6240","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":""},"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":"1208.6240","created_at":"2026-05-18T03:46:46.102166+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.6240v1","created_at":"2026-05-18T03:46:46.102166+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6240","created_at":"2026-05-18T03:46:46.102166+00:00"},{"alias_kind":"pith_short_12","alias_value":"NKH7VSPJG6SI","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"NKH7VSPJG6SIWDYA","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"NKH7VSPJ","created_at":"2026-05-18T12:27:16.716162+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/NKH7VSPJG6SIWDYAVZ7SUH7LRX","json":"https://pith.science/pith/NKH7VSPJG6SIWDYAVZ7SUH7LRX.json","graph_json":"https://pith.science/api/pith-number/NKH7VSPJG6SIWDYAVZ7SUH7LRX/graph.json","events_json":"https://pith.science/api/pith-number/NKH7VSPJG6SIWDYAVZ7SUH7LRX/events.json","paper":"https://pith.science/paper/NKH7VSPJ"},"agent_actions":{"view_html":"https://pith.science/pith/NKH7VSPJG6SIWDYAVZ7SUH7LRX","download_json":"https://pith.science/pith/NKH7VSPJG6SIWDYAVZ7SUH7LRX.json","view_paper":"https://pith.science/paper/NKH7VSPJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.6240&json=true","fetch_graph":"https://pith.science/api/pith-number/NKH7VSPJG6SIWDYAVZ7SUH7LRX/graph.json","fetch_events":"https://pith.science/api/pith-number/NKH7VSPJG6SIWDYAVZ7SUH7LRX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NKH7VSPJG6SIWDYAVZ7SUH7LRX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NKH7VSPJG6SIWDYAVZ7SUH7LRX/action/storage_attestation","attest_author":"https://pith.science/pith/NKH7VSPJG6SIWDYAVZ7SUH7LRX/action/author_attestation","sign_citation":"https://pith.science/pith/NKH7VSPJG6SIWDYAVZ7SUH7LRX/action/citation_signature","submit_replication":"https://pith.science/pith/NKH7VSPJG6SIWDYAVZ7SUH7LRX/action/replication_record"}},"created_at":"2026-05-18T03:46:46.102166+00:00","updated_at":"2026-05-18T03:46:46.102166+00:00"}