{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AL7FAWNQ5D6BGWF7RQC5LU73S6","short_pith_number":"pith:AL7FAWNQ","canonical_record":{"source":{"id":"1609.07067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-09-22T17:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"5473fae3812a9b0747c43a3fde08486392bde193130c381eda16e9f872251cd5","abstract_canon_sha256":"f9eb502c2baf9b84e1129b4900e5a03d51a7cb93368588791eb9d393412a6ac5"},"schema_version":"1.0"},"canonical_sha256":"02fe5059b0e8fc1358bf8c05d5d3fb97aa97e5d9477766d9a6682ca25e14ad93","source":{"kind":"arxiv","id":"1609.07067","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07067","created_at":"2026-05-18T00:25:29Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07067v1","created_at":"2026-05-18T00:25:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07067","created_at":"2026-05-18T00:25:29Z"},{"alias_kind":"pith_short_12","alias_value":"AL7FAWNQ5D6B","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AL7FAWNQ5D6BGWF7","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AL7FAWNQ","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AL7FAWNQ5D6BGWF7RQC5LU73S6","target":"record","payload":{"canonical_record":{"source":{"id":"1609.07067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-09-22T17:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"5473fae3812a9b0747c43a3fde08486392bde193130c381eda16e9f872251cd5","abstract_canon_sha256":"f9eb502c2baf9b84e1129b4900e5a03d51a7cb93368588791eb9d393412a6ac5"},"schema_version":"1.0"},"canonical_sha256":"02fe5059b0e8fc1358bf8c05d5d3fb97aa97e5d9477766d9a6682ca25e14ad93","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:29.328591Z","signature_b64":"FwziGGHxS6iOXPWH5jFlY9p9WVRJGFZCnTobEyUOsnBoaWQ9agM7o8WZlaB5/dBgLPgYQ0bwBMB0MxfTx3ZHAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02fe5059b0e8fc1358bf8c05d5d3fb97aa97e5d9477766d9a6682ca25e14ad93","last_reissued_at":"2026-05-18T00:25:29.327879Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:29.327879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.07067","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:25:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ySX3sChAvwm8fyihK2mztDwNrKYKD8MeSqfh0sSFNE6r5qVGSaNdF5SLKr5ekWBA/9Ti+zcVLa8AjYjuqp/2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:38:05.953948Z"},"content_sha256":"a35473fb6c126632d9258b5b8367808bee11eaeebbba5890c4dbaa5ef86ced7f","schema_version":"1.0","event_id":"sha256:a35473fb6c126632d9258b5b8367808bee11eaeebbba5890c4dbaa5ef86ced7f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AL7FAWNQ5D6BGWF7RQC5LU73S6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Incommensurate charge ordered states in the $\\mathit{t-t^{\\prime}-J}$ model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"Peayush Choubey, P. J. Hirschfeld, Ting-Kuo Lee, Wei-Lin Tu","submitted_at":"2016-09-22T17:02:25Z","abstract_excerpt":"We study the incommensurate charge ordered states in the $\\mathit{t-t^{\\prime}-J}$ model using the Gutzwiller mean field theory on large systems. In particular, we explore the properties of incommensurate charge modulated states referred to as nodal pair density waves (nPDW) in the literature. nPDW states intertwine site and bond charge order with modulated $d$-wave pair order, and are characterized by a nonzero amplitude of uniform pairing; they also manifest a dominant intra-unit cell $d$-density wave form factor. To compare with a recent scanning tunneling microscopy (STM) study [Hamidian \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07067","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:25:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KDoUQstpoMJT3OMSMAPJqzHXjdNGpKcLg6yEbqIif2ccVPRRJPp0ELz7UHtkSCuWKCGSycgfXIupq6Qjmq/yDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:38:05.954323Z"},"content_sha256":"51fca864660e3fb0cc218c507034325a5e8cd916ea798fac2c87499893cea21d","schema_version":"1.0","event_id":"sha256:51fca864660e3fb0cc218c507034325a5e8cd916ea798fac2c87499893cea21d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AL7FAWNQ5D6BGWF7RQC5LU73S6/bundle.json","state_url":"https://pith.science/pith/AL7FAWNQ5D6BGWF7RQC5LU73S6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AL7FAWNQ5D6BGWF7RQC5LU73S6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T06:38:05Z","links":{"resolver":"https://pith.science/pith/AL7FAWNQ5D6BGWF7RQC5LU73S6","bundle":"https://pith.science/pith/AL7FAWNQ5D6BGWF7RQC5LU73S6/bundle.json","state":"https://pith.science/pith/AL7FAWNQ5D6BGWF7RQC5LU73S6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AL7FAWNQ5D6BGWF7RQC5LU73S6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AL7FAWNQ5D6BGWF7RQC5LU73S6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f9eb502c2baf9b84e1129b4900e5a03d51a7cb93368588791eb9d393412a6ac5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-09-22T17:02:25Z","title_canon_sha256":"5473fae3812a9b0747c43a3fde08486392bde193130c381eda16e9f872251cd5"},"schema_version":"1.0","source":{"id":"1609.07067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07067","created_at":"2026-05-18T00:25:29Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07067v1","created_at":"2026-05-18T00:25:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07067","created_at":"2026-05-18T00:25:29Z"},{"alias_kind":"pith_short_12","alias_value":"AL7FAWNQ5D6B","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AL7FAWNQ5D6BGWF7","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AL7FAWNQ","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:51fca864660e3fb0cc218c507034325a5e8cd916ea798fac2c87499893cea21d","target":"graph","created_at":"2026-05-18T00:25:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the incommensurate charge ordered states in the $\\mathit{t-t^{\\prime}-J}$ model using the Gutzwiller mean field theory on large systems. In particular, we explore the properties of incommensurate charge modulated states referred to as nodal pair density waves (nPDW) in the literature. nPDW states intertwine site and bond charge order with modulated $d$-wave pair order, and are characterized by a nonzero amplitude of uniform pairing; they also manifest a dominant intra-unit cell $d$-density wave form factor. To compare with a recent scanning tunneling microscopy (STM) study [Hamidian \\","authors_text":"Peayush Choubey, P. J. Hirschfeld, Ting-Kuo Lee, Wei-Lin Tu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-09-22T17:02:25Z","title":"Incommensurate charge ordered states in the $\\mathit{t-t^{\\prime}-J}$ model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07067","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a35473fb6c126632d9258b5b8367808bee11eaeebbba5890c4dbaa5ef86ced7f","target":"record","created_at":"2026-05-18T00:25:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f9eb502c2baf9b84e1129b4900e5a03d51a7cb93368588791eb9d393412a6ac5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2016-09-22T17:02:25Z","title_canon_sha256":"5473fae3812a9b0747c43a3fde08486392bde193130c381eda16e9f872251cd5"},"schema_version":"1.0","source":{"id":"1609.07067","kind":"arxiv","version":1}},"canonical_sha256":"02fe5059b0e8fc1358bf8c05d5d3fb97aa97e5d9477766d9a6682ca25e14ad93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02fe5059b0e8fc1358bf8c05d5d3fb97aa97e5d9477766d9a6682ca25e14ad93","first_computed_at":"2026-05-18T00:25:29.327879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:29.327879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FwziGGHxS6iOXPWH5jFlY9p9WVRJGFZCnTobEyUOsnBoaWQ9agM7o8WZlaB5/dBgLPgYQ0bwBMB0MxfTx3ZHAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:29.328591Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.07067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a35473fb6c126632d9258b5b8367808bee11eaeebbba5890c4dbaa5ef86ced7f","sha256:51fca864660e3fb0cc218c507034325a5e8cd916ea798fac2c87499893cea21d"],"state_sha256":"51861bf1c5f2d3eb2278094a8c8160a6a0ffc71d5ae76ae89e1f4ff59060936b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7eJAc/SyuMWgkbdDNylWB2HMDxDhvYYL1MigTllMXYxC8JYB/syrhqjNnT+1UiSy636ZNpl0lG7dXKwEq0BXBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T06:38:05.956253Z","bundle_sha256":"a5fc8c0d474eca1f82cc4509e838d286a07c1524d5092579c7c93fb4c32caeff"}}