{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:3W3N7JUNEMVRM6XD3DRCE3K5IM","short_pith_number":"pith:3W3N7JUN","canonical_record":{"source":{"id":"0709.4647","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-28T16:08:32Z","cross_cats_sorted":[],"title_canon_sha256":"ded293cfc66059f0ff5a74bd0f60196347e94e2223ffcfd83de39b022d388368","abstract_canon_sha256":"9009eab26d14d66c19aa7ef7aa8d3795a39503cd354dd08f8c541d61d44594cc"},"schema_version":"1.0"},"canonical_sha256":"ddb6dfa68d232b167ae3d8e2226d5d4328a1c7fecacec163b4776f8b4a005000","source":{"kind":"arxiv","id":"0709.4647","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.4647","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"arxiv_version","alias_value":"0709.4647v1","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.4647","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"pith_short_12","alias_value":"3W3N7JUNEMVR","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"pith_short_16","alias_value":"3W3N7JUNEMVRM6XD","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"pith_short_8","alias_value":"3W3N7JUN","created_at":"2026-07-04T17:05:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:3W3N7JUNEMVRM6XD3DRCE3K5IM","target":"record","payload":{"canonical_record":{"source":{"id":"0709.4647","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-28T16:08:32Z","cross_cats_sorted":[],"title_canon_sha256":"ded293cfc66059f0ff5a74bd0f60196347e94e2223ffcfd83de39b022d388368","abstract_canon_sha256":"9009eab26d14d66c19aa7ef7aa8d3795a39503cd354dd08f8c541d61d44594cc"},"schema_version":"1.0"},"canonical_sha256":"ddb6dfa68d232b167ae3d8e2226d5d4328a1c7fecacec163b4776f8b4a005000","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:05:55.561143Z","signature_b64":"SHPjDMrVZlIU+8wPJpGETtcSQt8XcuaprtY4GiEQ005PagnkpYqwrctpG6hdXV+RO6ddhi+3SC9QtoHyoVkeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddb6dfa68d232b167ae3d8e2226d5d4328a1c7fecacec163b4776f8b4a005000","last_reissued_at":"2026-07-04T17:05:55.560760Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:05:55.560760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0709.4647","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":"2026-07-04T17:05:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x9IFGKzcRFucdHiMjq9O52siQVJJ9TOC5pb2IsFZDK8RHPWSjdOyiAenh3Ce/xTLpTkwq8a17mrYGApWEE5ZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T03:53:00.473049Z"},"content_sha256":"883f09e7b8adef7ed82fb1d23f37343cb537a878c26fba4a49c5f7d2f7a3b14b","schema_version":"1.0","event_id":"sha256:883f09e7b8adef7ed82fb1d23f37343cb537a878c26fba4a49c5f7d2f7a3b14b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:3W3N7JUNEMVRM6XD3DRCE3K5IM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electrostatics in Periodic Boundary Conditions and Real-space Corrections","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Boris Kozinsky, Ismaila Dabo, Nicholas E. Singh-Miller, Nicola Marzari","submitted_at":"2007-09-28T16:08:32Z","abstract_excerpt":"We address periodic-image errors arising from the use of periodic boundary conditions to describe systems that do not exhibit full three-dimensional periodicity. The difference between the periodic potential, as straightforwardly obtained from a Fourier transform, and the potential satisfying any other boundary conditions can be characterized analytically. In light of this observation, we present an efficient real-space method to correct periodic-image errors, based on a multigrid solver for the potential difference, and demonstrate that exponential convergence of the energy with respect to ce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.4647","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0709.4647/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":"2026-07-04T17:05:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RghOaebKPVJPGGTAdpGBWVu85UMibaFB2SOZjUXjPqPBRrvJTaNxadh0fT1b1zFn9Jp/lA3YK2jZ0ITCXrUZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T03:53:00.473619Z"},"content_sha256":"0ef023bcad82ca96874c1b98cf7833150a4d9c0652e7edc9a4fa09785630367b","schema_version":"1.0","event_id":"sha256:0ef023bcad82ca96874c1b98cf7833150a4d9c0652e7edc9a4fa09785630367b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3W3N7JUNEMVRM6XD3DRCE3K5IM/bundle.json","state_url":"https://pith.science/pith/3W3N7JUNEMVRM6XD3DRCE3K5IM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3W3N7JUNEMVRM6XD3DRCE3K5IM/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":"2026-08-10T03:53:00Z","links":{"resolver":"https://pith.science/pith/3W3N7JUNEMVRM6XD3DRCE3K5IM","bundle":"https://pith.science/pith/3W3N7JUNEMVRM6XD3DRCE3K5IM/bundle.json","state":"https://pith.science/pith/3W3N7JUNEMVRM6XD3DRCE3K5IM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3W3N7JUNEMVRM6XD3DRCE3K5IM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:3W3N7JUNEMVRM6XD3DRCE3K5IM","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":"9009eab26d14d66c19aa7ef7aa8d3795a39503cd354dd08f8c541d61d44594cc","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-28T16:08:32Z","title_canon_sha256":"ded293cfc66059f0ff5a74bd0f60196347e94e2223ffcfd83de39b022d388368"},"schema_version":"1.0","source":{"id":"0709.4647","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.4647","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"arxiv_version","alias_value":"0709.4647v1","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.4647","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"pith_short_12","alias_value":"3W3N7JUNEMVR","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"pith_short_16","alias_value":"3W3N7JUNEMVRM6XD","created_at":"2026-07-04T17:05:55Z"},{"alias_kind":"pith_short_8","alias_value":"3W3N7JUN","created_at":"2026-07-04T17:05:55Z"}],"graph_snapshots":[{"event_id":"sha256:0ef023bcad82ca96874c1b98cf7833150a4d9c0652e7edc9a4fa09785630367b","target":"graph","created_at":"2026-07-04T17:05:55Z","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/0709.4647/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We address periodic-image errors arising from the use of periodic boundary conditions to describe systems that do not exhibit full three-dimensional periodicity. The difference between the periodic potential, as straightforwardly obtained from a Fourier transform, and the potential satisfying any other boundary conditions can be characterized analytically. In light of this observation, we present an efficient real-space method to correct periodic-image errors, based on a multigrid solver for the potential difference, and demonstrate that exponential convergence of the energy with respect to ce","authors_text":"Boris Kozinsky, Ismaila Dabo, Nicholas E. Singh-Miller, Nicola Marzari","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-28T16:08:32Z","title":"Electrostatics in Periodic Boundary Conditions and Real-space Corrections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.4647","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":"sha256:883f09e7b8adef7ed82fb1d23f37343cb537a878c26fba4a49c5f7d2f7a3b14b","target":"record","created_at":"2026-07-04T17:05:55Z","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":"9009eab26d14d66c19aa7ef7aa8d3795a39503cd354dd08f8c541d61d44594cc","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-09-28T16:08:32Z","title_canon_sha256":"ded293cfc66059f0ff5a74bd0f60196347e94e2223ffcfd83de39b022d388368"},"schema_version":"1.0","source":{"id":"0709.4647","kind":"arxiv","version":1}},"canonical_sha256":"ddb6dfa68d232b167ae3d8e2226d5d4328a1c7fecacec163b4776f8b4a005000","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddb6dfa68d232b167ae3d8e2226d5d4328a1c7fecacec163b4776f8b4a005000","first_computed_at":"2026-07-04T17:05:55.560760Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:05:55.560760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SHPjDMrVZlIU+8wPJpGETtcSQt8XcuaprtY4GiEQ005PagnkpYqwrctpG6hdXV+RO6ddhi+3SC9QtoHyoVkeBw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:05:55.561143Z","signed_message":"canonical_sha256_bytes"},"source_id":"0709.4647","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:883f09e7b8adef7ed82fb1d23f37343cb537a878c26fba4a49c5f7d2f7a3b14b","sha256:0ef023bcad82ca96874c1b98cf7833150a4d9c0652e7edc9a4fa09785630367b"],"state_sha256":"f2b6ad13671e566cfe0b54e933795e2d6382955c077be1e86958911e0882bbd9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bSYwfz0UoeHb4dD+xYCJ6kt7HkEOa35KBzXkxucW219WNtT7r5VqvdRKIVZOzZFyirvp1cSY5PZC9n/iQuSECQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T03:53:00.478380Z","bundle_sha256":"4c63e5c8cccc3feadc4db846c8697c0f1329740d9f26edba917a2cc54b0216c2"}}