{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:JYM6FOLXQTPCN3O3IV6THSBV7O","short_pith_number":"pith:JYM6FOLX","schema_version":"1.0","canonical_sha256":"4e19e2b97784de26eddb457d33c835fb8422fa312591f299fc631300e1553e14","source":{"kind":"arxiv","id":"physics/0108025","version":2},"attestation_state":"computed","paper":{"title":"Entropy and inference, revisited","license":"","headline":"","cross_cats":[],"primary_cat":"physics.data-an","authors_text":"Fariel Shafee, Ilya Nemenman, William Bialek","submitted_at":"2001-08-15T02:03:04Z","abstract_excerpt":"We study properties of popular near-uniform (Dirichlet) priors for learning undersampled probability distributions on discrete nonmetric spaces and show that they lead to disastrous results. However, an Occam-style phase space argument expands the priors into their infinite mixture and resolves most of the observed problems. This leads to a surprisingly good estimator of entropies of discrete distributions."},"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":"physics/0108025","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"physics.data-an","submitted_at":"2001-08-15T02:03:04Z","cross_cats_sorted":[],"title_canon_sha256":"3294b84eb38fa855a4fe85a4e4a9c65b526483bd82b3168109141d150e28e7c9","abstract_canon_sha256":"1b77a6a9ea018bc8cc3fa1f1379a8a730dcc7b94a6c74246ada1955811d921e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:43:28.645274Z","signature_b64":"uqw8dgriZmfPW+TGqWTbMb2yUocG0QNyu++zbQUb037rNkP+4xlelQr8X1VQ3eA43Ij/x1RhNOLCh8vgOJh7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e19e2b97784de26eddb457d33c835fb8422fa312591f299fc631300e1553e14","last_reissued_at":"2026-07-04T14:43:28.644750Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:43:28.644750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropy and inference, revisited","license":"","headline":"","cross_cats":[],"primary_cat":"physics.data-an","authors_text":"Fariel Shafee, Ilya Nemenman, William Bialek","submitted_at":"2001-08-15T02:03:04Z","abstract_excerpt":"We study properties of popular near-uniform (Dirichlet) priors for learning undersampled probability distributions on discrete nonmetric spaces and show that they lead to disastrous results. However, an Occam-style phase space argument expands the priors into their infinite mixture and resolves most of the observed problems. This leads to a surprisingly good estimator of entropies of discrete distributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0108025","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/physics/0108025/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"physics/0108025","created_at":"2026-07-04T14:43:28.644832+00:00"},{"alias_kind":"arxiv_version","alias_value":"physics/0108025v2","created_at":"2026-07-04T14:43:28.644832+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0108025","created_at":"2026-07-04T14:43:28.644832+00:00"},{"alias_kind":"pith_short_12","alias_value":"JYM6FOLXQTPC","created_at":"2026-07-04T14:43:28.644832+00:00"},{"alias_kind":"pith_short_16","alias_value":"JYM6FOLXQTPCN3O3","created_at":"2026-07-04T14:43:28.644832+00:00"},{"alias_kind":"pith_short_8","alias_value":"JYM6FOLX","created_at":"2026-07-04T14:43:28.644832+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.11395","citing_title":"To BEE or not to BEE: Estimating more than Entropy with Biased Entropy Estimators","ref_index":46,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JYM6FOLXQTPCN3O3IV6THSBV7O","json":"https://pith.science/pith/JYM6FOLXQTPCN3O3IV6THSBV7O.json","graph_json":"https://pith.science/api/pith-number/JYM6FOLXQTPCN3O3IV6THSBV7O/graph.json","events_json":"https://pith.science/api/pith-number/JYM6FOLXQTPCN3O3IV6THSBV7O/events.json","paper":"https://pith.science/paper/JYM6FOLX"},"agent_actions":{"view_html":"https://pith.science/pith/JYM6FOLXQTPCN3O3IV6THSBV7O","download_json":"https://pith.science/pith/JYM6FOLXQTPCN3O3IV6THSBV7O.json","view_paper":"https://pith.science/paper/JYM6FOLX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=physics/0108025&json=true","fetch_graph":"https://pith.science/api/pith-number/JYM6FOLXQTPCN3O3IV6THSBV7O/graph.json","fetch_events":"https://pith.science/api/pith-number/JYM6FOLXQTPCN3O3IV6THSBV7O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JYM6FOLXQTPCN3O3IV6THSBV7O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JYM6FOLXQTPCN3O3IV6THSBV7O/action/storage_attestation","attest_author":"https://pith.science/pith/JYM6FOLXQTPCN3O3IV6THSBV7O/action/author_attestation","sign_citation":"https://pith.science/pith/JYM6FOLXQTPCN3O3IV6THSBV7O/action/citation_signature","submit_replication":"https://pith.science/pith/JYM6FOLXQTPCN3O3IV6THSBV7O/action/replication_record"}},"created_at":"2026-07-04T14:43:28.644832+00:00","updated_at":"2026-07-04T14:43:28.644832+00:00"}