{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GI5E6UNR2ZBZAR7DWEDIER6MCF","short_pith_number":"pith:GI5E6UNR","schema_version":"1.0","canonical_sha256":"323a4f51b1d6439047e3b1068247cc115c808e6cc7a50c3f344338068429ae56","source":{"kind":"arxiv","id":"1208.4414","version":1},"attestation_state":"computed","paper":{"title":"A Lattice of Gambles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.PR","authors_text":"Gowtham Kumar, Lei Zhao, Paul Cuff, Thomas Cover","submitted_at":"2012-08-22T02:32:28Z","abstract_excerpt":"A gambler walks into a hypothetical fair casino with a very real dollar bill, but by the time he leaves he's exchanged the dollar for a random amount of money. What is lost in the process? It may be that the gambler walks out at the end of the day, after a roller-coaster ride of winning and losing, with his dollar still intact, or maybe even with two dollars. But what the gambler loses the moment he places his first bet is position. He exchanges one distribution of money for a distribution of lesser quality, from which he cannot return. Our first discussion in this work connects known results "},"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":"1208.4414","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-08-22T02:32:28Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"5c1bf345398bae4d870b2e0bcb845322d41ca650bec415054bc7d2ec76603062","abstract_canon_sha256":"7d154c35eb3d597cfbd257177d0d201fbb2da2c10c08081442e791bf24c97664"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:00.791115Z","signature_b64":"i13FYFgcBxgGYsbsSgT/URxaxmK/jfiEDE/U6kNkCQAZw0pWje77sZDmas700hm+ncs9ddSEdbU2TUwwZPsoAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"323a4f51b1d6439047e3b1068247cc115c808e6cc7a50c3f344338068429ae56","last_reissued_at":"2026-05-18T02:21:00.790656Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:00.790656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Lattice of Gambles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.PR","authors_text":"Gowtham Kumar, Lei Zhao, Paul Cuff, Thomas Cover","submitted_at":"2012-08-22T02:32:28Z","abstract_excerpt":"A gambler walks into a hypothetical fair casino with a very real dollar bill, but by the time he leaves he's exchanged the dollar for a random amount of money. What is lost in the process? It may be that the gambler walks out at the end of the day, after a roller-coaster ride of winning and losing, with his dollar still intact, or maybe even with two dollars. But what the gambler loses the moment he places his first bet is position. He exchanges one distribution of money for a distribution of lesser quality, from which he cannot return. Our first discussion in this work connects known results "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4414","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":"1208.4414","created_at":"2026-05-18T02:21:00.790714+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.4414v1","created_at":"2026-05-18T02:21:00.790714+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4414","created_at":"2026-05-18T02:21:00.790714+00:00"},{"alias_kind":"pith_short_12","alias_value":"GI5E6UNR2ZBZ","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GI5E6UNR2ZBZAR7D","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GI5E6UNR","created_at":"2026-05-18T12:27:06.952714+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/GI5E6UNR2ZBZAR7DWEDIER6MCF","json":"https://pith.science/pith/GI5E6UNR2ZBZAR7DWEDIER6MCF.json","graph_json":"https://pith.science/api/pith-number/GI5E6UNR2ZBZAR7DWEDIER6MCF/graph.json","events_json":"https://pith.science/api/pith-number/GI5E6UNR2ZBZAR7DWEDIER6MCF/events.json","paper":"https://pith.science/paper/GI5E6UNR"},"agent_actions":{"view_html":"https://pith.science/pith/GI5E6UNR2ZBZAR7DWEDIER6MCF","download_json":"https://pith.science/pith/GI5E6UNR2ZBZAR7DWEDIER6MCF.json","view_paper":"https://pith.science/paper/GI5E6UNR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.4414&json=true","fetch_graph":"https://pith.science/api/pith-number/GI5E6UNR2ZBZAR7DWEDIER6MCF/graph.json","fetch_events":"https://pith.science/api/pith-number/GI5E6UNR2ZBZAR7DWEDIER6MCF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GI5E6UNR2ZBZAR7DWEDIER6MCF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GI5E6UNR2ZBZAR7DWEDIER6MCF/action/storage_attestation","attest_author":"https://pith.science/pith/GI5E6UNR2ZBZAR7DWEDIER6MCF/action/author_attestation","sign_citation":"https://pith.science/pith/GI5E6UNR2ZBZAR7DWEDIER6MCF/action/citation_signature","submit_replication":"https://pith.science/pith/GI5E6UNR2ZBZAR7DWEDIER6MCF/action/replication_record"}},"created_at":"2026-05-18T02:21:00.790714+00:00","updated_at":"2026-05-18T02:21:00.790714+00:00"}