{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:ZCFWNRDBRUNJFOTEWWSUVGJBRG","short_pith_number":"pith:ZCFWNRDB","schema_version":"1.0","canonical_sha256":"c88b66c4618d1a92ba64b5a54a992189916c1453ba66f0e764e35da336b7cb34","source":{"kind":"arxiv","id":"2011.05148","version":1},"attestation_state":"computed","paper":{"title":"Heisenberg XX chain, non-homogeneously parameterised generating exponential, and diagonally restricted plane partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"C. Malyshev, N. M. Bogoliubov","submitted_at":"2020-11-10T15:14:14Z","abstract_excerpt":"The mean values of non-homogeneously parameterized generating exponential are obtained and investigated for the periodic Heisenberg XX model. The norm-trace generating function of boxed plane partitions with fixed volume of their diagonal parts is obtained as N-particles average of the generating exponential. The generating function of self-avoiding walks of random turns vicious walkers is obtained in terms of the circulant matrices that leads to generalizations of the Ramus's identity. Under various specifications of the generating exponential, the N-particles averages arise for a set of inco"},"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":"2011.05148","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-11-10T15:14:14Z","cross_cats_sorted":["math.CO","nlin.SI"],"title_canon_sha256":"da72ccb3d1fcba9540dd7e39d395055f4ee5087ee63a3420fa35aead504e973a","abstract_canon_sha256":"2824818d74a6bfed68b9735bb0129eb414142a942ec5d9c53a39e41d90a7c2f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:50:44.108429Z","signature_b64":"iT7y/r+Ej2si4amqwddwtB1Gv5sgErWxI2DyLEpEdmt2gmd/Hdl8jMND0B3ayf1LC7BcBghczC4TtAkE4iXADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c88b66c4618d1a92ba64b5a54a992189916c1453ba66f0e764e35da336b7cb34","last_reissued_at":"2026-07-05T01:50:44.108043Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:50:44.108043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Heisenberg XX chain, non-homogeneously parameterised generating exponential, and diagonally restricted plane partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"C. Malyshev, N. M. Bogoliubov","submitted_at":"2020-11-10T15:14:14Z","abstract_excerpt":"The mean values of non-homogeneously parameterized generating exponential are obtained and investigated for the periodic Heisenberg XX model. The norm-trace generating function of boxed plane partitions with fixed volume of their diagonal parts is obtained as N-particles average of the generating exponential. The generating function of self-avoiding walks of random turns vicious walkers is obtained in terms of the circulant matrices that leads to generalizations of the Ramus's identity. Under various specifications of the generating exponential, the N-particles averages arise for a set of inco"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.05148","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/2011.05148/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":"2011.05148","created_at":"2026-07-05T01:50:44.108101+00:00"},{"alias_kind":"arxiv_version","alias_value":"2011.05148v1","created_at":"2026-07-05T01:50:44.108101+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.05148","created_at":"2026-07-05T01:50:44.108101+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZCFWNRDBRUNJ","created_at":"2026-07-05T01:50:44.108101+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZCFWNRDBRUNJFOTE","created_at":"2026-07-05T01:50:44.108101+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZCFWNRDB","created_at":"2026-07-05T01:50:44.108101+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.11015","citing_title":"Near-real-time design of experiments for seismic monitoring of volcanoes","ref_index":22,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZCFWNRDBRUNJFOTEWWSUVGJBRG","json":"https://pith.science/pith/ZCFWNRDBRUNJFOTEWWSUVGJBRG.json","graph_json":"https://pith.science/api/pith-number/ZCFWNRDBRUNJFOTEWWSUVGJBRG/graph.json","events_json":"https://pith.science/api/pith-number/ZCFWNRDBRUNJFOTEWWSUVGJBRG/events.json","paper":"https://pith.science/paper/ZCFWNRDB"},"agent_actions":{"view_html":"https://pith.science/pith/ZCFWNRDBRUNJFOTEWWSUVGJBRG","download_json":"https://pith.science/pith/ZCFWNRDBRUNJFOTEWWSUVGJBRG.json","view_paper":"https://pith.science/paper/ZCFWNRDB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2011.05148&json=true","fetch_graph":"https://pith.science/api/pith-number/ZCFWNRDBRUNJFOTEWWSUVGJBRG/graph.json","fetch_events":"https://pith.science/api/pith-number/ZCFWNRDBRUNJFOTEWWSUVGJBRG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZCFWNRDBRUNJFOTEWWSUVGJBRG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZCFWNRDBRUNJFOTEWWSUVGJBRG/action/storage_attestation","attest_author":"https://pith.science/pith/ZCFWNRDBRUNJFOTEWWSUVGJBRG/action/author_attestation","sign_citation":"https://pith.science/pith/ZCFWNRDBRUNJFOTEWWSUVGJBRG/action/citation_signature","submit_replication":"https://pith.science/pith/ZCFWNRDBRUNJFOTEWWSUVGJBRG/action/replication_record"}},"created_at":"2026-07-05T01:50:44.108101+00:00","updated_at":"2026-07-05T01:50:44.108101+00:00"}