{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MALU45UQOYSLL2Q4SK6QA4RREN","short_pith_number":"pith:MALU45UQ","schema_version":"1.0","canonical_sha256":"60174e76907624b5ea1c92bd0072312370875050e8cf3871018af8de8f333185","source":{"kind":"arxiv","id":"1703.08554","version":2},"attestation_state":"computed","paper":{"title":"Marstrand's Theorem Revisited: Projecting Sets of Dimension Zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.MG","authors_text":"Agamemnon Zafeiropoulos, Kenneth Falconer, Sanju Velani, Victor Beresnevich","submitted_at":"2017-03-24T18:01:48Z","abstract_excerpt":"We establish a refinement of Marstrand's projection theorem for Hausdorff dimension functions finer than the usual power functions, including an analogue of Marstrand's Theorem for logarithmic Hausdorff dimension."},"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":"1703.08554","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-03-24T18:01:48Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"d70ddfcc051d7b5b6922daaa09781c12ca4395f12d0aef311749c7443b697c6c","abstract_canon_sha256":"8858d5225e5750d7e037617bf9bb564d3dfeeee64d1a820dce382c1c0e7fcf73"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:19.721776Z","signature_b64":"HsmZ8/8x4WAaOzm8Mjht1jDt9vi4T4qtTgBCaQoLAkYfYd8YBeBB4I2a8FDhmv9bSiNYS7frmOlj1XVSbI+PDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60174e76907624b5ea1c92bd0072312370875050e8cf3871018af8de8f333185","last_reissued_at":"2026-05-17T23:58:19.721389Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:19.721389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Marstrand's Theorem Revisited: Projecting Sets of Dimension Zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.MG","authors_text":"Agamemnon Zafeiropoulos, Kenneth Falconer, Sanju Velani, Victor Beresnevich","submitted_at":"2017-03-24T18:01:48Z","abstract_excerpt":"We establish a refinement of Marstrand's projection theorem for Hausdorff dimension functions finer than the usual power functions, including an analogue of Marstrand's Theorem for logarithmic Hausdorff dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08554","kind":"arxiv","version":2},"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":"1703.08554","created_at":"2026-05-17T23:58:19.721447+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.08554v2","created_at":"2026-05-17T23:58:19.721447+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08554","created_at":"2026-05-17T23:58:19.721447+00:00"},{"alias_kind":"pith_short_12","alias_value":"MALU45UQOYSL","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MALU45UQOYSLL2Q4","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MALU45UQ","created_at":"2026-05-18T12:31:31.346846+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/MALU45UQOYSLL2Q4SK6QA4RREN","json":"https://pith.science/pith/MALU45UQOYSLL2Q4SK6QA4RREN.json","graph_json":"https://pith.science/api/pith-number/MALU45UQOYSLL2Q4SK6QA4RREN/graph.json","events_json":"https://pith.science/api/pith-number/MALU45UQOYSLL2Q4SK6QA4RREN/events.json","paper":"https://pith.science/paper/MALU45UQ"},"agent_actions":{"view_html":"https://pith.science/pith/MALU45UQOYSLL2Q4SK6QA4RREN","download_json":"https://pith.science/pith/MALU45UQOYSLL2Q4SK6QA4RREN.json","view_paper":"https://pith.science/paper/MALU45UQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.08554&json=true","fetch_graph":"https://pith.science/api/pith-number/MALU45UQOYSLL2Q4SK6QA4RREN/graph.json","fetch_events":"https://pith.science/api/pith-number/MALU45UQOYSLL2Q4SK6QA4RREN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MALU45UQOYSLL2Q4SK6QA4RREN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MALU45UQOYSLL2Q4SK6QA4RREN/action/storage_attestation","attest_author":"https://pith.science/pith/MALU45UQOYSLL2Q4SK6QA4RREN/action/author_attestation","sign_citation":"https://pith.science/pith/MALU45UQOYSLL2Q4SK6QA4RREN/action/citation_signature","submit_replication":"https://pith.science/pith/MALU45UQOYSLL2Q4SK6QA4RREN/action/replication_record"}},"created_at":"2026-05-17T23:58:19.721447+00:00","updated_at":"2026-05-17T23:58:19.721447+00:00"}