{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:SRMDIHZ3NZR4MEDLB2YJV2QT42","short_pith_number":"pith:SRMDIHZ3","schema_version":"1.0","canonical_sha256":"9458341f3b6e63c6106b0eb09aea13e6bee848c76169af72be707207f45e9847","source":{"kind":"arxiv","id":"1306.3978","version":1},"attestation_state":"computed","paper":{"title":"Asymmetric Little model and its ground state energies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.OC","authors_text":"Mihailo Stojnic","submitted_at":"2013-06-17T10:41:04Z","abstract_excerpt":"In this paper we look at a class of random optimization problems that arise in the forms typically known in statistical physics as Little models. In \\cite{BruParRit92} the Little models were studied by means of the well known tool from the statistical physics called the replica theory. A careful consideration produced a physically sound conclusion that the behavior of almost all important features of the Little models essentially resembles the behavior of the corresponding ones of appropriately scaled Sherrington-Kirkpatrick (SK) model. In this paper we revisit the Little models and consider t"},"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":"1306.3978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-06-17T10:41:04Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"564625a7436d1c620a51bd2cea9e05f8d1846fb62afce8b6cb1cb4c81d80c9ba","abstract_canon_sha256":"bff0251c41eb91754eb7f7571845c74461e27dcf5d3f4dc9ed1f53f7d8d5a35f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:36.190664Z","signature_b64":"oivpQBZ59Kf1FD0xwOx6/6m3yPlfUWascSHDycUi1WGKjOZNNEOzSgh66TYu4LJJjsiDRtV3CWGoSc5avb3uCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9458341f3b6e63c6106b0eb09aea13e6bee848c76169af72be707207f45e9847","last_reissued_at":"2026-05-18T03:20:36.189855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:36.189855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymmetric Little model and its ground state energies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.OC","authors_text":"Mihailo Stojnic","submitted_at":"2013-06-17T10:41:04Z","abstract_excerpt":"In this paper we look at a class of random optimization problems that arise in the forms typically known in statistical physics as Little models. In \\cite{BruParRit92} the Little models were studied by means of the well known tool from the statistical physics called the replica theory. A careful consideration produced a physically sound conclusion that the behavior of almost all important features of the Little models essentially resembles the behavior of the corresponding ones of appropriately scaled Sherrington-Kirkpatrick (SK) model. In this paper we revisit the Little models and consider t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3978","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":"1306.3978","created_at":"2026-05-18T03:20:36.189964+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.3978v1","created_at":"2026-05-18T03:20:36.189964+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3978","created_at":"2026-05-18T03:20:36.189964+00:00"},{"alias_kind":"pith_short_12","alias_value":"SRMDIHZ3NZR4","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"SRMDIHZ3NZR4MEDL","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"SRMDIHZ3","created_at":"2026-05-18T12:27:59.945178+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/SRMDIHZ3NZR4MEDLB2YJV2QT42","json":"https://pith.science/pith/SRMDIHZ3NZR4MEDLB2YJV2QT42.json","graph_json":"https://pith.science/api/pith-number/SRMDIHZ3NZR4MEDLB2YJV2QT42/graph.json","events_json":"https://pith.science/api/pith-number/SRMDIHZ3NZR4MEDLB2YJV2QT42/events.json","paper":"https://pith.science/paper/SRMDIHZ3"},"agent_actions":{"view_html":"https://pith.science/pith/SRMDIHZ3NZR4MEDLB2YJV2QT42","download_json":"https://pith.science/pith/SRMDIHZ3NZR4MEDLB2YJV2QT42.json","view_paper":"https://pith.science/paper/SRMDIHZ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.3978&json=true","fetch_graph":"https://pith.science/api/pith-number/SRMDIHZ3NZR4MEDLB2YJV2QT42/graph.json","fetch_events":"https://pith.science/api/pith-number/SRMDIHZ3NZR4MEDLB2YJV2QT42/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SRMDIHZ3NZR4MEDLB2YJV2QT42/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SRMDIHZ3NZR4MEDLB2YJV2QT42/action/storage_attestation","attest_author":"https://pith.science/pith/SRMDIHZ3NZR4MEDLB2YJV2QT42/action/author_attestation","sign_citation":"https://pith.science/pith/SRMDIHZ3NZR4MEDLB2YJV2QT42/action/citation_signature","submit_replication":"https://pith.science/pith/SRMDIHZ3NZR4MEDLB2YJV2QT42/action/replication_record"}},"created_at":"2026-05-18T03:20:36.189964+00:00","updated_at":"2026-05-18T03:20:36.189964+00:00"}