{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SP4YFYQQF3OO772HI6SOAT7J77","short_pith_number":"pith:SP4YFYQQ","canonical_record":{"source":{"id":"1306.4765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-20T06:50:00Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el"],"title_canon_sha256":"26a57942d6435cfcb80a4bf93fa6a9bdea40a0f5b9cef9970c39d21126dd603d","abstract_canon_sha256":"9a2aa0310ada3fcb1758f5158ccd40db7ea966400390c46bdff2d0c7c18cd629"},"schema_version":"1.0"},"canonical_sha256":"93f982e2102edcefff4747a4e04fe9ffcebc81640b5a6feaa90eaa3c387934e1","source":{"kind":"arxiv","id":"1306.4765","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4765","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4765v2","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4765","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"pith_short_12","alias_value":"SP4YFYQQF3OO","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SP4YFYQQF3OO772H","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SP4YFYQQ","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SP4YFYQQF3OO772HI6SOAT7J77","target":"record","payload":{"canonical_record":{"source":{"id":"1306.4765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-20T06:50:00Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el"],"title_canon_sha256":"26a57942d6435cfcb80a4bf93fa6a9bdea40a0f5b9cef9970c39d21126dd603d","abstract_canon_sha256":"9a2aa0310ada3fcb1758f5158ccd40db7ea966400390c46bdff2d0c7c18cd629"},"schema_version":"1.0"},"canonical_sha256":"93f982e2102edcefff4747a4e04fe9ffcebc81640b5a6feaa90eaa3c387934e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:12.427078Z","signature_b64":"rFaNm1AL9dMJuMOSeYPetj0iH4stuAnUE7jpIEVweyA4XvfAidhRQt9a5nkR355XPsty9IwfjVkBDdgD5FkIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93f982e2102edcefff4747a4e04fe9ffcebc81640b5a6feaa90eaa3c387934e1","last_reissued_at":"2026-05-18T03:13:12.426418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:12.426418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.4765","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:13:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KMPcHY1eJSyEn1EU5g3y4SBnxwXwd2HMdgKx+ISo43ov7NZLQ7OfPCCNTj4lxb/lNvI/WjU6kIvJ9DpfKcI+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:03:50.965851Z"},"content_sha256":"05ada96c6467419e3fde8fd0eec07459a5d979bbc10c66daf7f7479e1129d564","schema_version":"1.0","event_id":"sha256:05ada96c6467419e3fde8fd0eec07459a5d979bbc10c66daf7f7479e1129d564"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SP4YFYQQF3OO772HI6SOAT7J77","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Influence of long-range interactions on charge ordering phenomena on a square lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jan Zaanen, Louk Rademaker, Vladimir Dobrosavljevic, Yohanes Pramudya","submitted_at":"2013-06-20T06:50:00Z","abstract_excerpt":"Usually complex charge ordering phenomena arise due to competing interactions. We have studied how such ordered patterns emerge from the frustration of a long-ranged interaction on a lattice. Using the lattice gas model on a square lattice with fixed particle density, we have identified several interesting phases; such as a generalization of Wigner crystals at low particle densities and stripe phases at densities in between rho = 1/3 and rho = 1/2. These stripes act as domain walls in the checkerboard phase present at half-filling. The phases are characterised at zero temperatures using numeri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4765","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":""},"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":"2026-05-18T03:13:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xCnZZpqqoMnD56SIrb1Ehl4R3GWUGYHIIqNy3E65mGS/mPUqXSBpMyiR/rWnCK+ROqN7OoqokiBqSn6jl9naCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:03:50.966537Z"},"content_sha256":"669c270b503e0497e95b4acb550522a44f5c7224f5f3c7ff8f4b4d02364bfd62","schema_version":"1.0","event_id":"sha256:669c270b503e0497e95b4acb550522a44f5c7224f5f3c7ff8f4b4d02364bfd62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SP4YFYQQF3OO772HI6SOAT7J77/bundle.json","state_url":"https://pith.science/pith/SP4YFYQQF3OO772HI6SOAT7J77/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SP4YFYQQF3OO772HI6SOAT7J77/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":"2026-05-27T00:03:50Z","links":{"resolver":"https://pith.science/pith/SP4YFYQQF3OO772HI6SOAT7J77","bundle":"https://pith.science/pith/SP4YFYQQF3OO772HI6SOAT7J77/bundle.json","state":"https://pith.science/pith/SP4YFYQQF3OO772HI6SOAT7J77/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SP4YFYQQF3OO772HI6SOAT7J77/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SP4YFYQQF3OO772HI6SOAT7J77","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":"9a2aa0310ada3fcb1758f5158ccd40db7ea966400390c46bdff2d0c7c18cd629","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-20T06:50:00Z","title_canon_sha256":"26a57942d6435cfcb80a4bf93fa6a9bdea40a0f5b9cef9970c39d21126dd603d"},"schema_version":"1.0","source":{"id":"1306.4765","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4765","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4765v2","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4765","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"pith_short_12","alias_value":"SP4YFYQQF3OO","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SP4YFYQQF3OO772H","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SP4YFYQQ","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:669c270b503e0497e95b4acb550522a44f5c7224f5f3c7ff8f4b4d02364bfd62","target":"graph","created_at":"2026-05-18T03:13:12Z","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":"Usually complex charge ordering phenomena arise due to competing interactions. We have studied how such ordered patterns emerge from the frustration of a long-ranged interaction on a lattice. Using the lattice gas model on a square lattice with fixed particle density, we have identified several interesting phases; such as a generalization of Wigner crystals at low particle densities and stripe phases at densities in between rho = 1/3 and rho = 1/2. These stripes act as domain walls in the checkerboard phase present at half-filling. The phases are characterised at zero temperatures using numeri","authors_text":"Jan Zaanen, Louk Rademaker, Vladimir Dobrosavljevic, Yohanes Pramudya","cross_cats":["cond-mat.quant-gas","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-20T06:50:00Z","title":"Influence of long-range interactions on charge ordering phenomena on a square lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4765","kind":"arxiv","version":2},"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":"sha256:05ada96c6467419e3fde8fd0eec07459a5d979bbc10c66daf7f7479e1129d564","target":"record","created_at":"2026-05-18T03:13:12Z","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":"9a2aa0310ada3fcb1758f5158ccd40db7ea966400390c46bdff2d0c7c18cd629","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-20T06:50:00Z","title_canon_sha256":"26a57942d6435cfcb80a4bf93fa6a9bdea40a0f5b9cef9970c39d21126dd603d"},"schema_version":"1.0","source":{"id":"1306.4765","kind":"arxiv","version":2}},"canonical_sha256":"93f982e2102edcefff4747a4e04fe9ffcebc81640b5a6feaa90eaa3c387934e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93f982e2102edcefff4747a4e04fe9ffcebc81640b5a6feaa90eaa3c387934e1","first_computed_at":"2026-05-18T03:13:12.426418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:12.426418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rFaNm1AL9dMJuMOSeYPetj0iH4stuAnUE7jpIEVweyA4XvfAidhRQt9a5nkR355XPsty9IwfjVkBDdgD5FkIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:12.427078Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4765","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05ada96c6467419e3fde8fd0eec07459a5d979bbc10c66daf7f7479e1129d564","sha256:669c270b503e0497e95b4acb550522a44f5c7224f5f3c7ff8f4b4d02364bfd62"],"state_sha256":"4f216c5a85d61d2ffbbaab07f76cc8273ee95da67cad2a6a664a091cb48df37a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D7gG9GNJ6EcD48JMF7qEEk9HtIzcjdOqlIVj+N8ehiMt4M7XsfqbaZhKdeHjWEhZALHV6T0rZVm20xKFnvidAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:03:50.969653Z","bundle_sha256":"196f3522a249b61b8a52b233f847f6d2a5cda68e274a398616508b262197a175"}}