{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LHW2IB6GC55IQISZQSUEPTDXIJ","short_pith_number":"pith:LHW2IB6G","schema_version":"1.0","canonical_sha256":"59eda407c6177a88225984a847cc774276c9bafa5ff1bbb6c770ff55984dd29a","source":{"kind":"arxiv","id":"1309.0434","version":1},"attestation_state":"computed","paper":{"title":"Carries, group theory, and additive combinatorics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.NT"],"primary_cat":"math.CO","authors_text":"Kannan Soundararajan, Persi Diaconis, Xuancheng Shao","submitted_at":"2013-09-02T15:14:31Z","abstract_excerpt":"Given a group G and a normal subgroup H we study the problem of choosing coset representatives with few carries."},"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":"1309.0434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-09-02T15:14:31Z","cross_cats_sorted":["math.GR","math.NT"],"title_canon_sha256":"36c2ae591a17fb8807c16223bf385fbd8afcac53acd101c581fee997f5909c68","abstract_canon_sha256":"0d9cdcb5200bc2ae5f139fc001e5744a01757a535713ee83eb091630311de5a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:27.315885Z","signature_b64":"ltD+CmDgQ/XZn5TI4x85zgIunBwEkIqNL+0DMp7so20Y6Gz+AGeFe1LrA3nZZNwM1PPvpAeMTvJYGiEeL3glBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59eda407c6177a88225984a847cc774276c9bafa5ff1bbb6c770ff55984dd29a","last_reissued_at":"2026-05-18T03:14:27.315476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:27.315476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Carries, group theory, and additive combinatorics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.NT"],"primary_cat":"math.CO","authors_text":"Kannan Soundararajan, Persi Diaconis, Xuancheng Shao","submitted_at":"2013-09-02T15:14:31Z","abstract_excerpt":"Given a group G and a normal subgroup H we study the problem of choosing coset representatives with few carries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0434","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":"1309.0434","created_at":"2026-05-18T03:14:27.315537+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.0434v1","created_at":"2026-05-18T03:14:27.315537+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0434","created_at":"2026-05-18T03:14:27.315537+00:00"},{"alias_kind":"pith_short_12","alias_value":"LHW2IB6GC55I","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LHW2IB6GC55IQISZ","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LHW2IB6G","created_at":"2026-05-18T12:27:51.066281+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/LHW2IB6GC55IQISZQSUEPTDXIJ","json":"https://pith.science/pith/LHW2IB6GC55IQISZQSUEPTDXIJ.json","graph_json":"https://pith.science/api/pith-number/LHW2IB6GC55IQISZQSUEPTDXIJ/graph.json","events_json":"https://pith.science/api/pith-number/LHW2IB6GC55IQISZQSUEPTDXIJ/events.json","paper":"https://pith.science/paper/LHW2IB6G"},"agent_actions":{"view_html":"https://pith.science/pith/LHW2IB6GC55IQISZQSUEPTDXIJ","download_json":"https://pith.science/pith/LHW2IB6GC55IQISZQSUEPTDXIJ.json","view_paper":"https://pith.science/paper/LHW2IB6G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.0434&json=true","fetch_graph":"https://pith.science/api/pith-number/LHW2IB6GC55IQISZQSUEPTDXIJ/graph.json","fetch_events":"https://pith.science/api/pith-number/LHW2IB6GC55IQISZQSUEPTDXIJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LHW2IB6GC55IQISZQSUEPTDXIJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LHW2IB6GC55IQISZQSUEPTDXIJ/action/storage_attestation","attest_author":"https://pith.science/pith/LHW2IB6GC55IQISZQSUEPTDXIJ/action/author_attestation","sign_citation":"https://pith.science/pith/LHW2IB6GC55IQISZQSUEPTDXIJ/action/citation_signature","submit_replication":"https://pith.science/pith/LHW2IB6GC55IQISZQSUEPTDXIJ/action/replication_record"}},"created_at":"2026-05-18T03:14:27.315537+00:00","updated_at":"2026-05-18T03:14:27.315537+00:00"}