{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:65JHKI6HEPPJ2A2G7CDGNQJHFP","short_pith_number":"pith:65JHKI6H","canonical_record":{"source":{"id":"2209.00834","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-09-02T06:19:58Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"6cd366cf9cf6fbedbf1c5a77b82fb4aac6ff4d047af39c10a98178d33132805a","abstract_canon_sha256":"ea5b3961023dc1b57fd907675fd2f87542be249ade57573798e3f12a1acb1887"},"schema_version":"1.0"},"canonical_sha256":"f7527523c723de9d0346f88666c1272bdedabd3cf70a904a7ed51e3eb2839675","source":{"kind":"arxiv","id":"2209.00834","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.00834","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"arxiv_version","alias_value":"2209.00834v4","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.00834","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"pith_short_12","alias_value":"65JHKI6HEPPJ","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"pith_short_16","alias_value":"65JHKI6HEPPJ2A2G","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"pith_short_8","alias_value":"65JHKI6H","created_at":"2026-07-05T05:31:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:65JHKI6HEPPJ2A2G7CDGNQJHFP","target":"record","payload":{"canonical_record":{"source":{"id":"2209.00834","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-09-02T06:19:58Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"6cd366cf9cf6fbedbf1c5a77b82fb4aac6ff4d047af39c10a98178d33132805a","abstract_canon_sha256":"ea5b3961023dc1b57fd907675fd2f87542be249ade57573798e3f12a1acb1887"},"schema_version":"1.0"},"canonical_sha256":"f7527523c723de9d0346f88666c1272bdedabd3cf70a904a7ed51e3eb2839675","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:31:02.958773Z","signature_b64":"MZxzjg0O0AnxJFproUn/apHMC1bM8z910XgCulo1CU9GuBG1JnkSG6e0qV2SHv7pqPiRoWGqDFkXjJXkuzfSCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7527523c723de9d0346f88666c1272bdedabd3cf70a904a7ed51e3eb2839675","last_reissued_at":"2026-07-05T05:31:02.958277Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:31:02.958277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.00834","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:31:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xMUVIf2jKwocsPMxouf/QkfONIur82lBM5HEyhNiq4Twjny59a8kb3Co4f/wlGhMa8KJgdfj6S/P0Cht+vPUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T23:38:14.007649Z"},"content_sha256":"8282d6c54f6c1231ec7781070274e65143ffa2860bee8b1f95ad607738ad1c68","schema_version":"1.0","event_id":"sha256:8282d6c54f6c1231ec7781070274e65143ffa2860bee8b1f95ad607738ad1c68"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:65JHKI6HEPPJ2A2G7CDGNQJHFP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"2D-Block Geminals: a non 1-orthogonal and non 0-seniority model with reduced computational complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"physics.chem-ph","authors_text":"Davide Accomasso, Patrick Cassam-Chena\\\"i (JAD), Thomas Perez (JAD)","submitted_at":"2022-09-02T06:19:58Z","abstract_excerpt":"We present a new geminal product wave function ansatz where the geminals are not constrained to be strongly orthogonal nor to be of seniority zero. Instead, we introduce weaker orthogonality constraints between geminals which significantly lower the computational effort, without sacrificing the indistinguishability of the electrons. That is to say, the electron pairs corresponding to the geminals are not fully distinguishable, and their product has still to be antisymmetrized according to the Pauli principle to form a \\textit{bona fide} electronic wave function.Our geometrical constraints tran"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.00834","kind":"arxiv","version":4},"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/2209.00834/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":"2026-07-05T05:31:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s2bBaGseCErSDn3/bHzOIKSxpa8y/rZxNz4MTTK6po0qxAVRiCChLd7TTRuUaZV7KkJeTaiYOxCTbgNL2lYhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T23:38:14.008343Z"},"content_sha256":"6799a280dbe2aba0acf203650f28f43ce979a7317989a430ee7da1dd1bb07f41","schema_version":"1.0","event_id":"sha256:6799a280dbe2aba0acf203650f28f43ce979a7317989a430ee7da1dd1bb07f41"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/65JHKI6HEPPJ2A2G7CDGNQJHFP/bundle.json","state_url":"https://pith.science/pith/65JHKI6HEPPJ2A2G7CDGNQJHFP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/65JHKI6HEPPJ2A2G7CDGNQJHFP/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":"2026-08-17T23:38:14Z","links":{"resolver":"https://pith.science/pith/65JHKI6HEPPJ2A2G7CDGNQJHFP","bundle":"https://pith.science/pith/65JHKI6HEPPJ2A2G7CDGNQJHFP/bundle.json","state":"https://pith.science/pith/65JHKI6HEPPJ2A2G7CDGNQJHFP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/65JHKI6HEPPJ2A2G7CDGNQJHFP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:65JHKI6HEPPJ2A2G7CDGNQJHFP","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":"ea5b3961023dc1b57fd907675fd2f87542be249ade57573798e3f12a1acb1887","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-09-02T06:19:58Z","title_canon_sha256":"6cd366cf9cf6fbedbf1c5a77b82fb4aac6ff4d047af39c10a98178d33132805a"},"schema_version":"1.0","source":{"id":"2209.00834","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.00834","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"arxiv_version","alias_value":"2209.00834v4","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.00834","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"pith_short_12","alias_value":"65JHKI6HEPPJ","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"pith_short_16","alias_value":"65JHKI6HEPPJ2A2G","created_at":"2026-07-05T05:31:02Z"},{"alias_kind":"pith_short_8","alias_value":"65JHKI6H","created_at":"2026-07-05T05:31:02Z"}],"graph_snapshots":[{"event_id":"sha256:6799a280dbe2aba0acf203650f28f43ce979a7317989a430ee7da1dd1bb07f41","target":"graph","created_at":"2026-07-05T05:31:02Z","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/2209.00834/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new geminal product wave function ansatz where the geminals are not constrained to be strongly orthogonal nor to be of seniority zero. Instead, we introduce weaker orthogonality constraints between geminals which significantly lower the computational effort, without sacrificing the indistinguishability of the electrons. That is to say, the electron pairs corresponding to the geminals are not fully distinguishable, and their product has still to be antisymmetrized according to the Pauli principle to form a \\textit{bona fide} electronic wave function.Our geometrical constraints tran","authors_text":"Davide Accomasso, Patrick Cassam-Chena\\\"i (JAD), Thomas Perez (JAD)","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-09-02T06:19:58Z","title":"2D-Block Geminals: a non 1-orthogonal and non 0-seniority model with reduced computational complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.00834","kind":"arxiv","version":4},"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":"sha256:8282d6c54f6c1231ec7781070274e65143ffa2860bee8b1f95ad607738ad1c68","target":"record","created_at":"2026-07-05T05:31:02Z","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":"ea5b3961023dc1b57fd907675fd2f87542be249ade57573798e3f12a1acb1887","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2022-09-02T06:19:58Z","title_canon_sha256":"6cd366cf9cf6fbedbf1c5a77b82fb4aac6ff4d047af39c10a98178d33132805a"},"schema_version":"1.0","source":{"id":"2209.00834","kind":"arxiv","version":4}},"canonical_sha256":"f7527523c723de9d0346f88666c1272bdedabd3cf70a904a7ed51e3eb2839675","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7527523c723de9d0346f88666c1272bdedabd3cf70a904a7ed51e3eb2839675","first_computed_at":"2026-07-05T05:31:02.958277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:31:02.958277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MZxzjg0O0AnxJFproUn/apHMC1bM8z910XgCulo1CU9GuBG1JnkSG6e0qV2SHv7pqPiRoWGqDFkXjJXkuzfSCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:31:02.958773Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.00834","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8282d6c54f6c1231ec7781070274e65143ffa2860bee8b1f95ad607738ad1c68","sha256:6799a280dbe2aba0acf203650f28f43ce979a7317989a430ee7da1dd1bb07f41"],"state_sha256":"74b5525d50b9e3829594a3adedfe4323cb4ae66d9d6ebb92fb95d70069081299"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UvNXwWSh8/d32qvcix0lNUDhQVODBFiqFcnDYOKd6CIQ4hVDTZXnMzK6VesBIzkybz5U5xX1EfT40HeVaq5sDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T23:38:14.015352Z","bundle_sha256":"e477cb789bae0fa6ae8b09e96f417fb50e2b7383829968309bc3868ceea36e99"}}