{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:V6WMTBQO64HAYWAKUDJKDLYBFK","short_pith_number":"pith:V6WMTBQO","canonical_record":{"source":{"id":"1006.2330","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-11T15:18:25Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"38b5daa3cd39a3e6f5883191958f25f89072a7eeca4795b822e4e02e31600b35","abstract_canon_sha256":"f28573a26397ae9e5c5630b2e1f60762c2881d4468b35266ba9b63fafb123d46"},"schema_version":"1.0"},"canonical_sha256":"afacc9860ef70e0c580aa0d2a1af012aab01eead54a25a92b37ce00f162141af","source":{"kind":"arxiv","id":"1006.2330","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.2330","created_at":"2026-05-18T02:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"1006.2330v2","created_at":"2026-05-18T02:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2330","created_at":"2026-05-18T02:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"V6WMTBQO64HA","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"V6WMTBQO64HAYWAK","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"V6WMTBQO","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:V6WMTBQO64HAYWAKUDJKDLYBFK","target":"record","payload":{"canonical_record":{"source":{"id":"1006.2330","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-11T15:18:25Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"38b5daa3cd39a3e6f5883191958f25f89072a7eeca4795b822e4e02e31600b35","abstract_canon_sha256":"f28573a26397ae9e5c5630b2e1f60762c2881d4468b35266ba9b63fafb123d46"},"schema_version":"1.0"},"canonical_sha256":"afacc9860ef70e0c580aa0d2a1af012aab01eead54a25a92b37ce00f162141af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:54.515799Z","signature_b64":"4aG5FbcV752qGwbFW24Zytgxwjy0ivQ9BDLol9+J7k1CfRwjxn3zlowDQUH851yVtv6LI82Ny7FAXgfAWQlxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afacc9860ef70e0c580aa0d2a1af012aab01eead54a25a92b37ce00f162141af","last_reissued_at":"2026-05-18T02:06:54.514931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:54.514931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.2330","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":"2026-05-18T02:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g3HykPZdrSNX6A9Xy1wTI85jUlm2D8kuxjcDr/8hLJNnPfOL/hkeYkLDdsmEq5dS0xV8aRxnhADNZtl4eGAtBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:06:58.562741Z"},"content_sha256":"3ac5591b7507d3f8a6fa17f5bdebdc48e463c205eda3a08eab980cf2cef892a1","schema_version":"1.0","event_id":"sha256:3ac5591b7507d3f8a6fa17f5bdebdc48e463c205eda3a08eab980cf2cef892a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:V6WMTBQO64HAYWAKUDJKDLYBFK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Microscopic Inhomogeneity and Superconducting Properties of a Two-dimensional Hubbard Model for High-$T_c$ Cuprate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Satoshi Okamoto, Thomas A. Maier","submitted_at":"2010-06-11T15:18:25Z","abstract_excerpt":"Recent scanning tunneling microscopy measurements on cuprate superconductors have revealed remarkable spatial inhomogeneities in the single-particle energy gap. Using cellular dynamical mean-field theory, we study the zero temperature superconducting properties of a single-band Hubbard model with a spatial modulation of the electron density. We find that the inhomogeneity in the electronic structure results in a substantial spatial variation in the superconducting order parameter and single-particle energy gap, reminiscent of the experimental results. In particular, we find that the order para"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2330","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":"2026-05-18T02:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YKuQEI/kFrYURQRpyPIhEhociGQu/SWwSIcT2ndD34nobI7QDvGV0jBSvqHmKmSby7JLKQsQqhGMuRMMmzkgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:06:58.563470Z"},"content_sha256":"b45cd4f33338bf5445c3c22f6cd23bb2490b21862bf56332c477bcd333e8310d","schema_version":"1.0","event_id":"sha256:b45cd4f33338bf5445c3c22f6cd23bb2490b21862bf56332c477bcd333e8310d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V6WMTBQO64HAYWAKUDJKDLYBFK/bundle.json","state_url":"https://pith.science/pith/V6WMTBQO64HAYWAKUDJKDLYBFK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V6WMTBQO64HAYWAKUDJKDLYBFK/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":"2026-06-11T15:06:58Z","links":{"resolver":"https://pith.science/pith/V6WMTBQO64HAYWAKUDJKDLYBFK","bundle":"https://pith.science/pith/V6WMTBQO64HAYWAKUDJKDLYBFK/bundle.json","state":"https://pith.science/pith/V6WMTBQO64HAYWAKUDJKDLYBFK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V6WMTBQO64HAYWAKUDJKDLYBFK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:V6WMTBQO64HAYWAKUDJKDLYBFK","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":"f28573a26397ae9e5c5630b2e1f60762c2881d4468b35266ba9b63fafb123d46","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-11T15:18:25Z","title_canon_sha256":"38b5daa3cd39a3e6f5883191958f25f89072a7eeca4795b822e4e02e31600b35"},"schema_version":"1.0","source":{"id":"1006.2330","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.2330","created_at":"2026-05-18T02:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"1006.2330v2","created_at":"2026-05-18T02:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2330","created_at":"2026-05-18T02:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"V6WMTBQO64HA","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"V6WMTBQO64HAYWAK","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"V6WMTBQO","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:b45cd4f33338bf5445c3c22f6cd23bb2490b21862bf56332c477bcd333e8310d","target":"graph","created_at":"2026-05-18T02:06:54Z","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":"Recent scanning tunneling microscopy measurements on cuprate superconductors have revealed remarkable spatial inhomogeneities in the single-particle energy gap. Using cellular dynamical mean-field theory, we study the zero temperature superconducting properties of a single-band Hubbard model with a spatial modulation of the electron density. We find that the inhomogeneity in the electronic structure results in a substantial spatial variation in the superconducting order parameter and single-particle energy gap, reminiscent of the experimental results. In particular, we find that the order para","authors_text":"Satoshi Okamoto, Thomas A. Maier","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-11T15:18:25Z","title":"Microscopic Inhomogeneity and Superconducting Properties of a Two-dimensional Hubbard Model for High-$T_c$ Cuprate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2330","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":"sha256:3ac5591b7507d3f8a6fa17f5bdebdc48e463c205eda3a08eab980cf2cef892a1","target":"record","created_at":"2026-05-18T02:06:54Z","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":"f28573a26397ae9e5c5630b2e1f60762c2881d4468b35266ba9b63fafb123d46","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-11T15:18:25Z","title_canon_sha256":"38b5daa3cd39a3e6f5883191958f25f89072a7eeca4795b822e4e02e31600b35"},"schema_version":"1.0","source":{"id":"1006.2330","kind":"arxiv","version":2}},"canonical_sha256":"afacc9860ef70e0c580aa0d2a1af012aab01eead54a25a92b37ce00f162141af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afacc9860ef70e0c580aa0d2a1af012aab01eead54a25a92b37ce00f162141af","first_computed_at":"2026-05-18T02:06:54.514931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:54.514931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4aG5FbcV752qGwbFW24Zytgxwjy0ivQ9BDLol9+J7k1CfRwjxn3zlowDQUH851yVtv6LI82Ny7FAXgfAWQlxCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:54.515799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.2330","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ac5591b7507d3f8a6fa17f5bdebdc48e463c205eda3a08eab980cf2cef892a1","sha256:b45cd4f33338bf5445c3c22f6cd23bb2490b21862bf56332c477bcd333e8310d"],"state_sha256":"da74ba165ba0a6d0d7b5cfc5adb4949f77d1bc35be61083bae9cb730876ecc15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YH9WFFlf7cPjTQM74uSoNQdr3wmEA6+fIkEoearI+QR1mF5wshwO2DSaaTM/SyNmDVgDVT/Z093au5VSKNNVCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T15:06:58.567417Z","bundle_sha256":"4f7f74bc204f9ae8f8486db49f3c64e6ca9c0d66390c30f876f7d11454332f6a"}}