{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:CO3YW24KQWUE5AHOSFQOGVGV6X","short_pith_number":"pith:CO3YW24K","schema_version":"1.0","canonical_sha256":"13b78b6b8a85a84e80ee9160e354d5f5f6a10bacc59d856f2c10536e33a8422e","source":{"kind":"arxiv","id":"2404.16770","version":2},"attestation_state":"computed","paper":{"title":"Pseudogap phase as fluctuating pair density wave","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Shuo Yang, Zheng-Cheng Gu, Zheng-Tao Xu, Zheng-Yuan Yue","submitted_at":"2024-04-25T17:23:31Z","abstract_excerpt":"The physical nature of pseudogap phase is one of the most important and intriguing problems towards understanding the key mechanism of high temperature superconductivity in cuprates. Theoretically, the square-lattice $t$-$J$ model is widely believed to be the simplest toy model that captures the essential physics of cuprate superconductors. We employ the Grassmann tensor product state approach to investigate uniform states in the underdoped ($\\delta \\lesssim 0.1$) region. In addition to the previously known uniform $d$-wave state, we discover a strongly fluctuating pair density wave (PDW) stat"},"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":"2404.16770","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-04-25T17:23:31Z","cross_cats_sorted":[],"title_canon_sha256":"779ceb0187cefb4c9e0ea2daf9323dced45822cee6c13de40b649a319a20db92","abstract_canon_sha256":"f7116638258cde12506a7683f75193bb1c9c90870f6fc765eac82337efe5a349"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:19:24.387724Z","signature_b64":"eftI131eJhJyGrZ31o/N1KaFa2j4QPGFK9oNEo+q0YbqE9Z3OMje3KUoQkxC90mocyurPkYVeCIqPnQFxZKtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13b78b6b8a85a84e80ee9160e354d5f5f6a10bacc59d856f2c10536e33a8422e","last_reissued_at":"2026-07-05T08:19:24.387195Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:19:24.387195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pseudogap phase as fluctuating pair density wave","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Shuo Yang, Zheng-Cheng Gu, Zheng-Tao Xu, Zheng-Yuan Yue","submitted_at":"2024-04-25T17:23:31Z","abstract_excerpt":"The physical nature of pseudogap phase is one of the most important and intriguing problems towards understanding the key mechanism of high temperature superconductivity in cuprates. Theoretically, the square-lattice $t$-$J$ model is widely believed to be the simplest toy model that captures the essential physics of cuprate superconductors. We employ the Grassmann tensor product state approach to investigate uniform states in the underdoped ($\\delta \\lesssim 0.1$) region. In addition to the previously known uniform $d$-wave state, we discover a strongly fluctuating pair density wave (PDW) stat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.16770","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/2404.16770/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":"2404.16770","created_at":"2026-07-05T08:19:24.387251+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.16770v2","created_at":"2026-07-05T08:19:24.387251+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.16770","created_at":"2026-07-05T08:19:24.387251+00:00"},{"alias_kind":"pith_short_12","alias_value":"CO3YW24KQWUE","created_at":"2026-07-05T08:19:24.387251+00:00"},{"alias_kind":"pith_short_16","alias_value":"CO3YW24KQWUE5AHO","created_at":"2026-07-05T08:19:24.387251+00:00"},{"alias_kind":"pith_short_8","alias_value":"CO3YW24K","created_at":"2026-07-05T08:19:24.387251+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.12907","citing_title":"Grassmann tensor networks","ref_index":58,"is_internal_anchor":false},{"citing_arxiv_id":"2605.12907","citing_title":"Grassmann tensor networks","ref_index":58,"is_internal_anchor":false},{"citing_arxiv_id":"2604.16293","citing_title":"Fluctuating Pair Density Wave in Finite-temperature Phase Diagram of the $t$-$t^\\prime$ Hubbard Model","ref_index":106,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CO3YW24KQWUE5AHOSFQOGVGV6X","json":"https://pith.science/pith/CO3YW24KQWUE5AHOSFQOGVGV6X.json","graph_json":"https://pith.science/api/pith-number/CO3YW24KQWUE5AHOSFQOGVGV6X/graph.json","events_json":"https://pith.science/api/pith-number/CO3YW24KQWUE5AHOSFQOGVGV6X/events.json","paper":"https://pith.science/paper/CO3YW24K"},"agent_actions":{"view_html":"https://pith.science/pith/CO3YW24KQWUE5AHOSFQOGVGV6X","download_json":"https://pith.science/pith/CO3YW24KQWUE5AHOSFQOGVGV6X.json","view_paper":"https://pith.science/paper/CO3YW24K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.16770&json=true","fetch_graph":"https://pith.science/api/pith-number/CO3YW24KQWUE5AHOSFQOGVGV6X/graph.json","fetch_events":"https://pith.science/api/pith-number/CO3YW24KQWUE5AHOSFQOGVGV6X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CO3YW24KQWUE5AHOSFQOGVGV6X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CO3YW24KQWUE5AHOSFQOGVGV6X/action/storage_attestation","attest_author":"https://pith.science/pith/CO3YW24KQWUE5AHOSFQOGVGV6X/action/author_attestation","sign_citation":"https://pith.science/pith/CO3YW24KQWUE5AHOSFQOGVGV6X/action/citation_signature","submit_replication":"https://pith.science/pith/CO3YW24KQWUE5AHOSFQOGVGV6X/action/replication_record"}},"created_at":"2026-07-05T08:19:24.387251+00:00","updated_at":"2026-07-05T08:19:24.387251+00:00"}