{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:P3CKTDSMDKGMNCSAJJKLTCTRXA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ab73d40a861076566a52ac77d855f06b4d87be21cdc1334cdc7a6effc4e5eb5c","cross_cats_sorted":["cs.IT","math.IT","math.OC","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-11-06T17:42:18Z","title_canon_sha256":"d9e7b97e235c91eb44fb63155e9b5938c1f20711b73deae34cd1bca1881a2491"},"schema_version":"1.0","source":{"id":"1711.02036","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.02036","created_at":"2026-05-17T23:44:32Z"},{"alias_kind":"arxiv_version","alias_value":"1711.02036v2","created_at":"2026-05-17T23:44:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02036","created_at":"2026-05-17T23:44:32Z"},{"alias_kind":"pith_short_12","alias_value":"P3CKTDSMDKGM","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"P3CKTDSMDKGMNCSA","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"P3CKTDSM","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:337655cd8b1f4fbab3889a953895cecde012c24ef089b46d960b0fa90be77f1f","target":"graph","created_at":"2026-05-17T23:44:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Maximum entropy distributions with discrete support in $m$ dimensions arise in machine learning, statistics, information theory, and theoretical computer science. While structural and computational properties of max-entropy distributions have been extensively studied, basic questions such as: Do max-entropy distributions over a large support (e.g., $2^m$) with a specified marginal vector have succinct descriptions (polynomial-size in the input description)? and: Are entropy maximizing distributions \"stable\" under the perturbation of the marginal vector? have resisted a rigorous resolution.\n  H","authors_text":"Damian Straszak, Nisheeth K. Vishnoi","cross_cats":["cs.IT","math.IT","math.OC","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-11-06T17:42:18Z","title":"Maximum Entropy Distributions: Bit Complexity and Stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02036","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:495332835628ec0bb8dfc3d5f2f7532c1b7657bc39199bba6e73172b60efbc80","target":"record","created_at":"2026-05-17T23:44:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ab73d40a861076566a52ac77d855f06b4d87be21cdc1334cdc7a6effc4e5eb5c","cross_cats_sorted":["cs.IT","math.IT","math.OC","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-11-06T17:42:18Z","title_canon_sha256":"d9e7b97e235c91eb44fb63155e9b5938c1f20711b73deae34cd1bca1881a2491"},"schema_version":"1.0","source":{"id":"1711.02036","kind":"arxiv","version":2}},"canonical_sha256":"7ec4a98e4c1a8cc68a404a54b98a71b832cee0f946940f79b4a52b3c1e07f319","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ec4a98e4c1a8cc68a404a54b98a71b832cee0f946940f79b4a52b3c1e07f319","first_computed_at":"2026-05-17T23:44:32.877534Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:32.877534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VAV7xHijUj5WJwiaPGVwDTTbBf2IWwh6Ayy1JCZbKDJUcCSAf/u1AAZROuJaXfDVIKH3iWTWw5T7qqPPK96nDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:32.878208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.02036","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:495332835628ec0bb8dfc3d5f2f7532c1b7657bc39199bba6e73172b60efbc80","sha256:337655cd8b1f4fbab3889a953895cecde012c24ef089b46d960b0fa90be77f1f"],"state_sha256":"f607140289f6958793178c99d150483d2ae0b50af5b15aa3989d69191f7de624"}