{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:GKOQTJVB4ICWHHZ74X4EK4X2DL","short_pith_number":"pith:GKOQTJVB","schema_version":"1.0","canonical_sha256":"329d09a6a1e205639f3fe5f84572fa1af3c3f8561839f07d157fb142fe31a0af","source":{"kind":"arxiv","id":"1401.7273","version":1},"attestation_state":"computed","paper":{"title":"On Stochastic Estimation of Partition Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ali Al-Bashabsheh, Yongyi Mao","submitted_at":"2014-01-28T17:46:38Z","abstract_excerpt":"In this paper, we show analytically that the duality of normal factor graphs (NFG) can facilitate stochastic estimation of partition functions. In particular, our analysis suggests that for the $q-$ary two-dimensional nearest-neighbor Potts model, sampling from the primal NFG of the model and sampling from its dual exhibit opposite behaviours with respect to the temperature of the model. For high-temperature models, sampling from the primal NFG gives rise to better estimators whereas for low-temperature models, sampling from the dual gives rise to better estimators. This analysis is validated "},"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":"1401.7273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-28T17:46:38Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"016cba24a4f4342c2a2a3203f4c5c3234631296abcb5f07a7d011ec7b7588820","abstract_canon_sha256":"5fe6b1496d8ad09a137d84602fc2e1c398da85cefca5560cf3855b8ef1f516c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:50.420112Z","signature_b64":"mCfUTfAahgtl2ZrenUzlL55Uex4mp+GYCqtZNlMHV1TgMjkHJNGT93wz5rx/bA2R55MJrJ0sBdIx+7Clr///Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"329d09a6a1e205639f3fe5f84572fa1af3c3f8561839f07d157fb142fe31a0af","last_reissued_at":"2026-05-18T03:00:50.419176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:50.419176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Stochastic Estimation of Partition Function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ali Al-Bashabsheh, Yongyi Mao","submitted_at":"2014-01-28T17:46:38Z","abstract_excerpt":"In this paper, we show analytically that the duality of normal factor graphs (NFG) can facilitate stochastic estimation of partition functions. In particular, our analysis suggests that for the $q-$ary two-dimensional nearest-neighbor Potts model, sampling from the primal NFG of the model and sampling from its dual exhibit opposite behaviours with respect to the temperature of the model. For high-temperature models, sampling from the primal NFG gives rise to better estimators whereas for low-temperature models, sampling from the dual gives rise to better estimators. This analysis is validated "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7273","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":"1401.7273","created_at":"2026-05-18T03:00:50.419342+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.7273v1","created_at":"2026-05-18T03:00:50.419342+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7273","created_at":"2026-05-18T03:00:50.419342+00:00"},{"alias_kind":"pith_short_12","alias_value":"GKOQTJVB4ICW","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"GKOQTJVB4ICWHHZ7","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"GKOQTJVB","created_at":"2026-05-18T12:28:30.664211+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/GKOQTJVB4ICWHHZ74X4EK4X2DL","json":"https://pith.science/pith/GKOQTJVB4ICWHHZ74X4EK4X2DL.json","graph_json":"https://pith.science/api/pith-number/GKOQTJVB4ICWHHZ74X4EK4X2DL/graph.json","events_json":"https://pith.science/api/pith-number/GKOQTJVB4ICWHHZ74X4EK4X2DL/events.json","paper":"https://pith.science/paper/GKOQTJVB"},"agent_actions":{"view_html":"https://pith.science/pith/GKOQTJVB4ICWHHZ74X4EK4X2DL","download_json":"https://pith.science/pith/GKOQTJVB4ICWHHZ74X4EK4X2DL.json","view_paper":"https://pith.science/paper/GKOQTJVB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.7273&json=true","fetch_graph":"https://pith.science/api/pith-number/GKOQTJVB4ICWHHZ74X4EK4X2DL/graph.json","fetch_events":"https://pith.science/api/pith-number/GKOQTJVB4ICWHHZ74X4EK4X2DL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GKOQTJVB4ICWHHZ74X4EK4X2DL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GKOQTJVB4ICWHHZ74X4EK4X2DL/action/storage_attestation","attest_author":"https://pith.science/pith/GKOQTJVB4ICWHHZ74X4EK4X2DL/action/author_attestation","sign_citation":"https://pith.science/pith/GKOQTJVB4ICWHHZ74X4EK4X2DL/action/citation_signature","submit_replication":"https://pith.science/pith/GKOQTJVB4ICWHHZ74X4EK4X2DL/action/replication_record"}},"created_at":"2026-05-18T03:00:50.419342+00:00","updated_at":"2026-05-18T03:00:50.419342+00:00"}