{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HIJ4YUJML23PET6AG3S4W4PGWP","short_pith_number":"pith:HIJ4YUJM","canonical_record":{"source":{"id":"1107.5435","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-27T10:38:31Z","cross_cats_sorted":[],"title_canon_sha256":"a9867d6317b138559fd589b738bb7b2f466ffc3fea142b6a687c4c2bdba4d5b8","abstract_canon_sha256":"8edffdc0c2f35ed06907c114b3fde2f271f74a649c45b654007a99e4587bb311"},"schema_version":"1.0"},"canonical_sha256":"3a13cc512c5eb6f24fc036e5cb71e6b3cc24ddc21e32f03396afb7bccae4eb1f","source":{"kind":"arxiv","id":"1107.5435","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5435","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5435v1","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5435","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"pith_short_12","alias_value":"HIJ4YUJML23P","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HIJ4YUJML23PET6A","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HIJ4YUJM","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HIJ4YUJML23PET6AG3S4W4PGWP","target":"record","payload":{"canonical_record":{"source":{"id":"1107.5435","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-27T10:38:31Z","cross_cats_sorted":[],"title_canon_sha256":"a9867d6317b138559fd589b738bb7b2f466ffc3fea142b6a687c4c2bdba4d5b8","abstract_canon_sha256":"8edffdc0c2f35ed06907c114b3fde2f271f74a649c45b654007a99e4587bb311"},"schema_version":"1.0"},"canonical_sha256":"3a13cc512c5eb6f24fc036e5cb71e6b3cc24ddc21e32f03396afb7bccae4eb1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:27.607137Z","signature_b64":"Mq1qgsNVVDcsL/rp6ZgFfid6HIeQJjeIGWj1kpjPYySqt44PVxCZCSkNSCsJqwX9pJ6mZdJNSDr0OI3VdmG2Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a13cc512c5eb6f24fc036e5cb71e6b3cc24ddc21e32f03396afb7bccae4eb1f","last_reissued_at":"2026-05-18T02:48:27.606616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:27.606616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.5435","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":"2026-05-18T02:48:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BlcMj9WkpLQgcGhCnJAuftZW8Nkd49BVHOaAcCdGEjxUCAio9tjOPhv13QbgTUkQeJkqKH1Kq6dgE3jB5PmFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:13:04.295044Z"},"content_sha256":"ea8a8732ffac2daa3e1c01fe71a0beeea882a53a7d7d1be2e3a6f253ae97c8c9","schema_version":"1.0","event_id":"sha256:ea8a8732ffac2daa3e1c01fe71a0beeea882a53a7d7d1be2e3a6f253ae97c8c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HIJ4YUJML23PET6AG3S4W4PGWP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ewald method for polytropic potentials in arbitrary dimensionality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"G. E. Astrakharchik, J. Boronat, O. N. Osychenko","submitted_at":"2011-07-27T10:38:31Z","abstract_excerpt":"The Ewald summation technique is generalised to power-law 1/|r|^k potentials in three-, two- and one-dimensional geometries with explicit formulae for all the components of the sums. The cases of short-range, long-range and \"marginal\" interactions are treated separately. The jellium model, as a particular case of a charge-neutral system, is discussed and the explicit forms of the Ewald sums for such system are presented. A generalised form of the Ewald sums for a noncubic (nonsquare) simulation cell for three- (two-) dimensional geometry is obtained and its possible field of application is dis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5435","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":"2026-05-18T02:48:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rqn6K72/2u/uTOP5gwWWY9Fe/VrYLywOoM4yZn3TUjewjmNTXgw82TYo34juIrl1HoA+sOW0Jp/7qfeqVtyHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:13:04.295711Z"},"content_sha256":"a9d2f88ed4d1920f47bd9218726070e2d697ff69cf75bef76860a84b8e376641","schema_version":"1.0","event_id":"sha256:a9d2f88ed4d1920f47bd9218726070e2d697ff69cf75bef76860a84b8e376641"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HIJ4YUJML23PET6AG3S4W4PGWP/bundle.json","state_url":"https://pith.science/pith/HIJ4YUJML23PET6AG3S4W4PGWP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HIJ4YUJML23PET6AG3S4W4PGWP/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":"2026-06-05T09:13:04Z","links":{"resolver":"https://pith.science/pith/HIJ4YUJML23PET6AG3S4W4PGWP","bundle":"https://pith.science/pith/HIJ4YUJML23PET6AG3S4W4PGWP/bundle.json","state":"https://pith.science/pith/HIJ4YUJML23PET6AG3S4W4PGWP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HIJ4YUJML23PET6AG3S4W4PGWP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HIJ4YUJML23PET6AG3S4W4PGWP","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":"8edffdc0c2f35ed06907c114b3fde2f271f74a649c45b654007a99e4587bb311","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-27T10:38:31Z","title_canon_sha256":"a9867d6317b138559fd589b738bb7b2f466ffc3fea142b6a687c4c2bdba4d5b8"},"schema_version":"1.0","source":{"id":"1107.5435","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5435","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5435v1","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5435","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"pith_short_12","alias_value":"HIJ4YUJML23P","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HIJ4YUJML23PET6A","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HIJ4YUJM","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:a9d2f88ed4d1920f47bd9218726070e2d697ff69cf75bef76860a84b8e376641","target":"graph","created_at":"2026-05-18T02:48:27Z","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":"The Ewald summation technique is generalised to power-law 1/|r|^k potentials in three-, two- and one-dimensional geometries with explicit formulae for all the components of the sums. The cases of short-range, long-range and \"marginal\" interactions are treated separately. The jellium model, as a particular case of a charge-neutral system, is discussed and the explicit forms of the Ewald sums for such system are presented. A generalised form of the Ewald sums for a noncubic (nonsquare) simulation cell for three- (two-) dimensional geometry is obtained and its possible field of application is dis","authors_text":"G. E. Astrakharchik, J. Boronat, O. N. Osychenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-27T10:38:31Z","title":"Ewald method for polytropic potentials in arbitrary dimensionality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5435","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:ea8a8732ffac2daa3e1c01fe71a0beeea882a53a7d7d1be2e3a6f253ae97c8c9","target":"record","created_at":"2026-05-18T02:48:27Z","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":"8edffdc0c2f35ed06907c114b3fde2f271f74a649c45b654007a99e4587bb311","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-07-27T10:38:31Z","title_canon_sha256":"a9867d6317b138559fd589b738bb7b2f466ffc3fea142b6a687c4c2bdba4d5b8"},"schema_version":"1.0","source":{"id":"1107.5435","kind":"arxiv","version":1}},"canonical_sha256":"3a13cc512c5eb6f24fc036e5cb71e6b3cc24ddc21e32f03396afb7bccae4eb1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a13cc512c5eb6f24fc036e5cb71e6b3cc24ddc21e32f03396afb7bccae4eb1f","first_computed_at":"2026-05-18T02:48:27.606616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:27.606616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mq1qgsNVVDcsL/rp6ZgFfid6HIeQJjeIGWj1kpjPYySqt44PVxCZCSkNSCsJqwX9pJ6mZdJNSDr0OI3VdmG2Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:27.607137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5435","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea8a8732ffac2daa3e1c01fe71a0beeea882a53a7d7d1be2e3a6f253ae97c8c9","sha256:a9d2f88ed4d1920f47bd9218726070e2d697ff69cf75bef76860a84b8e376641"],"state_sha256":"5535dd4e6a7b782c5def22fa5c79fd6276f10fa9eb32a2e060a87e26c75e0d8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rvRTIl3WMqkhEtUVEvGxdPQ4NcLMHnFbvM6FE4+Zvo0lHgQxh0zFOEfI1zktjPFpPvx1ad0P1ledu0lKTiFlBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T09:13:04.298648Z","bundle_sha256":"d6db2f966f8b918118c75fcc63cc69d2b7302f46b228047ace19d14798594361"}}