{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:QZP6DOLCOPHWADZG4BMWD72LO2","short_pith_number":"pith:QZP6DOLC","canonical_record":{"source":{"id":"0903.0707","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-03-04T08:05:03Z","cross_cats_sorted":[],"title_canon_sha256":"433256fd8d7cd3b235f43bda9a60f1cd5d151d51816a274f4041db43d5404e97","abstract_canon_sha256":"ea328a673f34d74ccb8f8f4e80b1e2657dfa3fb5e0197de6da8a69c571768712"},"schema_version":"1.0"},"canonical_sha256":"865fe1b96273cf600f26e05961ff4b7689b5a7251f8cc196cb10242190f720a1","source":{"kind":"arxiv","id":"0903.0707","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.0707","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"arxiv_version","alias_value":"0903.0707v2","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.0707","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"pith_short_12","alias_value":"QZP6DOLCOPHW","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"pith_short_16","alias_value":"QZP6DOLCOPHWADZG","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"pith_short_8","alias_value":"QZP6DOLC","created_at":"2026-07-04T15:53:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:QZP6DOLCOPHWADZG4BMWD72LO2","target":"record","payload":{"canonical_record":{"source":{"id":"0903.0707","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-03-04T08:05:03Z","cross_cats_sorted":[],"title_canon_sha256":"433256fd8d7cd3b235f43bda9a60f1cd5d151d51816a274f4041db43d5404e97","abstract_canon_sha256":"ea328a673f34d74ccb8f8f4e80b1e2657dfa3fb5e0197de6da8a69c571768712"},"schema_version":"1.0"},"canonical_sha256":"865fe1b96273cf600f26e05961ff4b7689b5a7251f8cc196cb10242190f720a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:53:59.714281Z","signature_b64":"dFwmkeuUbCJsdYo0JVOD+MRfQEsi3F5kkPyUxzdqf/tNjlLviPi1ZTlWEo8cYWKA9Hvv84FUAPV4YCWiZzeyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"865fe1b96273cf600f26e05961ff4b7689b5a7251f8cc196cb10242190f720a1","last_reissued_at":"2026-07-04T15:53:59.713887Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:53:59.713887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.0707","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":"2026-07-04T15:53:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+OGsynVuwBv8qC09QpzgRO3TGZ1Wbxa6rPLjtv4q8Owmkypwq6dkbyLpLYni1qz59MshqIwyLVw/vD9bO805Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T14:43:20.106147Z"},"content_sha256":"9262a79ce36bc668de48844d22e8ed7131d75d700f4a1a43cfeb1bd2a965560d","schema_version":"1.0","event_id":"sha256:9262a79ce36bc668de48844d22e8ed7131d75d700f4a1a43cfeb1bd2a965560d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:QZP6DOLCOPHWADZG4BMWD72LO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Coulomb cutoff technique for supercell calculations in two dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Alberto Castro, Carlo Andrea Rozzi, Esa Rasanen","submitted_at":"2009-03-04T08:05:03Z","abstract_excerpt":"We present a reciprocal space technique for the calculation of the Coulomb integral in two dimensions in systems with reduced periodicity, i.e., finite systems, or systems that are periodic only in one dimension. The technique consists in cutting off the long-range part of the interaction by modifying the expression for the Coulomb operator in reciprocal space. The physical result amounts in an effective screening of the spurious interactions originated by the presence of ghost periodic replicas of the system. This work extends a previous report [C. A. Rozzi et al., Phys. Rev. B 73, 205119 (20"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.0707","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/0903.0707/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:53:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oS+Jerg3jcDOxszJI3wbdYm9G3bbFm7JJ4DIQ/4L3CO+1Pb94XNsIPln1wSwJjkLzKH6XnIkpgDLo4YYFJSjDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T14:43:20.106541Z"},"content_sha256":"8edec6ed8fae321a3e0390905ddc0fbdb24073633169078847b208262fc54c5c","schema_version":"1.0","event_id":"sha256:8edec6ed8fae321a3e0390905ddc0fbdb24073633169078847b208262fc54c5c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QZP6DOLCOPHWADZG4BMWD72LO2/bundle.json","state_url":"https://pith.science/pith/QZP6DOLCOPHWADZG4BMWD72LO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QZP6DOLCOPHWADZG4BMWD72LO2/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":"2026-07-18T14:43:20Z","links":{"resolver":"https://pith.science/pith/QZP6DOLCOPHWADZG4BMWD72LO2","bundle":"https://pith.science/pith/QZP6DOLCOPHWADZG4BMWD72LO2/bundle.json","state":"https://pith.science/pith/QZP6DOLCOPHWADZG4BMWD72LO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QZP6DOLCOPHWADZG4BMWD72LO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:QZP6DOLCOPHWADZG4BMWD72LO2","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":"ea328a673f34d74ccb8f8f4e80b1e2657dfa3fb5e0197de6da8a69c571768712","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-03-04T08:05:03Z","title_canon_sha256":"433256fd8d7cd3b235f43bda9a60f1cd5d151d51816a274f4041db43d5404e97"},"schema_version":"1.0","source":{"id":"0903.0707","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.0707","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"arxiv_version","alias_value":"0903.0707v2","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.0707","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"pith_short_12","alias_value":"QZP6DOLCOPHW","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"pith_short_16","alias_value":"QZP6DOLCOPHWADZG","created_at":"2026-07-04T15:53:59Z"},{"alias_kind":"pith_short_8","alias_value":"QZP6DOLC","created_at":"2026-07-04T15:53:59Z"}],"graph_snapshots":[{"event_id":"sha256:8edec6ed8fae321a3e0390905ddc0fbdb24073633169078847b208262fc54c5c","target":"graph","created_at":"2026-07-04T15:53:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0903.0707/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a reciprocal space technique for the calculation of the Coulomb integral in two dimensions in systems with reduced periodicity, i.e., finite systems, or systems that are periodic only in one dimension. The technique consists in cutting off the long-range part of the interaction by modifying the expression for the Coulomb operator in reciprocal space. The physical result amounts in an effective screening of the spurious interactions originated by the presence of ghost periodic replicas of the system. This work extends a previous report [C. A. Rozzi et al., Phys. Rev. B 73, 205119 (20","authors_text":"Alberto Castro, Carlo Andrea Rozzi, Esa Rasanen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-03-04T08:05:03Z","title":"Exact Coulomb cutoff technique for supercell calculations in two dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.0707","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":"sha256:9262a79ce36bc668de48844d22e8ed7131d75d700f4a1a43cfeb1bd2a965560d","target":"record","created_at":"2026-07-04T15:53:59Z","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":"ea328a673f34d74ccb8f8f4e80b1e2657dfa3fb5e0197de6da8a69c571768712","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2009-03-04T08:05:03Z","title_canon_sha256":"433256fd8d7cd3b235f43bda9a60f1cd5d151d51816a274f4041db43d5404e97"},"schema_version":"1.0","source":{"id":"0903.0707","kind":"arxiv","version":2}},"canonical_sha256":"865fe1b96273cf600f26e05961ff4b7689b5a7251f8cc196cb10242190f720a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"865fe1b96273cf600f26e05961ff4b7689b5a7251f8cc196cb10242190f720a1","first_computed_at":"2026-07-04T15:53:59.713887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:53:59.713887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dFwmkeuUbCJsdYo0JVOD+MRfQEsi3F5kkPyUxzdqf/tNjlLviPi1ZTlWEo8cYWKA9Hvv84FUAPV4YCWiZzeyAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:53:59.714281Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.0707","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9262a79ce36bc668de48844d22e8ed7131d75d700f4a1a43cfeb1bd2a965560d","sha256:8edec6ed8fae321a3e0390905ddc0fbdb24073633169078847b208262fc54c5c"],"state_sha256":"59e1ded8a5cfe6c8e60c7235bf168d4bedb9cc3c07f123f2cb362de866dab802"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WyU9DSsDruLQj/ar6AcvRTOAMrxdTgqXXCijQBvHHTRLCjxRiSIUowwln8TZeUPn4ImDlPl1c8byWDSW0WDXCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-18T14:43:20.108613Z","bundle_sha256":"b66172374afc58bd561bba26ecbd2fb2736fe6c11d0da1a2b163a0dd6ace7026"}}