{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:KOVVUMKQUBOPYRCFRXIEK7SS2U","short_pith_number":"pith:KOVVUMKQ","schema_version":"1.0","canonical_sha256":"53ab5a3150a05cfc44458dd0457e52d51d1c00685cd88442d5b16c949af0f677","source":{"kind":"arxiv","id":"cond-mat/0009059","version":1},"attestation_state":"computed","paper":{"title":"Critical behaviour of the two-dimensional Ising susceptibility","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. J. Guttmann, B. G. Nickel, J. H. H. Perk, W. P. Orrick","submitted_at":"2000-09-05T15:09:48Z","abstract_excerpt":"We report computations of the short-distance and the long-distance (scaling) contributions to the square-lattice Ising susceptibility in zero field close to T_c. Both computations rely on the use of nonlinear partial difference equations for the correlation functions. By summing the correlation functions, we give an algorithm of complexity O(N^6) for the determination of the first N series coefficients. Consequently, we have generated and analysed series of length several hundred terms, generated in about 100 hours on an obsolete workstation. In terms of a temperature variable, \\tau, linear in"},"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":"cond-mat/0009059","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-09-05T15:09:48Z","cross_cats_sorted":[],"title_canon_sha256":"5a3d0e2bc52e3e2478d87db774172d8061b86b00e68821f26d66d181563948fe","abstract_canon_sha256":"3a99f5fbb7f665112d3604b3ab74928af473fb23972f0fd07d975ce65e9b5237"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:19:01.644612Z","signature_b64":"6JeechAGOXYiSmGtfdxHLE+r3LcYa1H3J0a6AaD3ve0645HF1RJuHoe7LSm9/NN01R+CngKWK4x27U6RZLlRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53ab5a3150a05cfc44458dd0457e52d51d1c00685cd88442d5b16c949af0f677","last_reissued_at":"2026-07-04T16:19:01.644266Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:19:01.644266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical behaviour of the two-dimensional Ising susceptibility","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. J. Guttmann, B. G. Nickel, J. H. H. Perk, W. P. Orrick","submitted_at":"2000-09-05T15:09:48Z","abstract_excerpt":"We report computations of the short-distance and the long-distance (scaling) contributions to the square-lattice Ising susceptibility in zero field close to T_c. Both computations rely on the use of nonlinear partial difference equations for the correlation functions. By summing the correlation functions, we give an algorithm of complexity O(N^6) for the determination of the first N series coefficients. Consequently, we have generated and analysed series of length several hundred terms, generated in about 100 hours on an obsolete workstation. In terms of a temperature variable, \\tau, linear in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0009059","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0009059/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":"cond-mat/0009059","created_at":"2026-07-04T16:19:01.644326+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0009059v1","created_at":"2026-07-04T16:19:01.644326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0009059","created_at":"2026-07-04T16:19:01.644326+00:00"},{"alias_kind":"pith_short_12","alias_value":"KOVVUMKQUBOP","created_at":"2026-07-04T16:19:01.644326+00:00"},{"alias_kind":"pith_short_16","alias_value":"KOVVUMKQUBOPYRCF","created_at":"2026-07-04T16:19:01.644326+00:00"},{"alias_kind":"pith_short_8","alias_value":"KOVVUMKQ","created_at":"2026-07-04T16:19:01.644326+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/KOVVUMKQUBOPYRCFRXIEK7SS2U","json":"https://pith.science/pith/KOVVUMKQUBOPYRCFRXIEK7SS2U.json","graph_json":"https://pith.science/api/pith-number/KOVVUMKQUBOPYRCFRXIEK7SS2U/graph.json","events_json":"https://pith.science/api/pith-number/KOVVUMKQUBOPYRCFRXIEK7SS2U/events.json","paper":"https://pith.science/paper/KOVVUMKQ"},"agent_actions":{"view_html":"https://pith.science/pith/KOVVUMKQUBOPYRCFRXIEK7SS2U","download_json":"https://pith.science/pith/KOVVUMKQUBOPYRCFRXIEK7SS2U.json","view_paper":"https://pith.science/paper/KOVVUMKQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0009059&json=true","fetch_graph":"https://pith.science/api/pith-number/KOVVUMKQUBOPYRCFRXIEK7SS2U/graph.json","fetch_events":"https://pith.science/api/pith-number/KOVVUMKQUBOPYRCFRXIEK7SS2U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KOVVUMKQUBOPYRCFRXIEK7SS2U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KOVVUMKQUBOPYRCFRXIEK7SS2U/action/storage_attestation","attest_author":"https://pith.science/pith/KOVVUMKQUBOPYRCFRXIEK7SS2U/action/author_attestation","sign_citation":"https://pith.science/pith/KOVVUMKQUBOPYRCFRXIEK7SS2U/action/citation_signature","submit_replication":"https://pith.science/pith/KOVVUMKQUBOPYRCFRXIEK7SS2U/action/replication_record"}},"created_at":"2026-07-04T16:19:01.644326+00:00","updated_at":"2026-07-04T16:19:01.644326+00:00"}