{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:U6YEBESS7YZMRLWVGV363PSTRX","short_pith_number":"pith:U6YEBESS","canonical_record":{"source":{"id":"2607.01434","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-01T19:56:45Z","cross_cats_sorted":[],"title_canon_sha256":"3b3eca2d49efb18082b69a3dff6e87cd413bb49432f3dc7e22d8e1c00117d6e4","abstract_canon_sha256":"f379e4e0b29c1b6fb67db5dc99aa7573e87edcf8817c0f7d36c9168ebbbc126b"},"schema_version":"1.0"},"canonical_sha256":"a7b0409252fe32c8aed53577edbe538dfc35f9b67fbb9bc3e6a4f31466059243","source":{"kind":"arxiv","id":"2607.01434","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01434","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01434v1","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01434","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"pith_short_12","alias_value":"U6YEBESS7YZM","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"pith_short_16","alias_value":"U6YEBESS7YZMRLWV","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"pith_short_8","alias_value":"U6YEBESS","created_at":"2026-07-03T00:17:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:U6YEBESS7YZMRLWVGV363PSTRX","target":"record","payload":{"canonical_record":{"source":{"id":"2607.01434","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-01T19:56:45Z","cross_cats_sorted":[],"title_canon_sha256":"3b3eca2d49efb18082b69a3dff6e87cd413bb49432f3dc7e22d8e1c00117d6e4","abstract_canon_sha256":"f379e4e0b29c1b6fb67db5dc99aa7573e87edcf8817c0f7d36c9168ebbbc126b"},"schema_version":"1.0"},"canonical_sha256":"a7b0409252fe32c8aed53577edbe538dfc35f9b67fbb9bc3e6a4f31466059243","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T00:17:00.123724Z","signature_b64":"fw6aEF2M0jLYCJuG/UOanULmdUAnK2x2LR7qi3cddK/T5UfNx+32cGpPnJlGNnKS+W3FEmhHES3I0FX2tK0xAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7b0409252fe32c8aed53577edbe538dfc35f9b67fbb9bc3e6a4f31466059243","last_reissued_at":"2026-07-03T00:17:00.123355Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T00:17:00.123355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.01434","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":"2026-07-03T00:17:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TEbn0tSthNtUpvQLl99J1pkhD3WSxnc2Ejy4jLfadT0rXU7vdTy/ZxnD54kFT2viWWsrLf8Gjn0MExBNq8wrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:58:26.270435Z"},"content_sha256":"aa8b147bca7daab1794bcd9f2c85b2516b3118c643724ed3a63a4a7763c1aca2","schema_version":"1.0","event_id":"sha256:aa8b147bca7daab1794bcd9f2c85b2516b3118c643724ed3a63a4a7763c1aca2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:U6YEBESS7YZMRLWVGV363PSTRX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized quantum geometry formulated through interacting vertex correlations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Alejandro S. Mi\\~narro, Gervasi Herranz","submitted_at":"2026-07-01T19:56:45Z","abstract_excerpt":"Quantum geometry characterizes the variation of electron wavefunctions in solids along a parameter space. Conventionally, crystal momentum is chosen as the parameter, since it couples to electromagnetic fields, offering an interpretation of quantum geometry in terms of dipole matrix elements, polarization fluctuations, and optical responses. However, Bloch momentum is not the only possible parameter space in which a wavefunction can evolve. In this work, we show that quantum geometry can be extended beyond the bare Bloch-band geometry to manifolds whose adiabatic parameters represent deformati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01434","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/2607.01434/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":"2026-07-03T00:17:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MzJTVFGDnPFcYTIq3LvtilA3zeiQ84qevi+mkQJROlX/sYiwhA3uYIQv4LpRmK0YxuRu9EseyLQLRo7WEYOGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:58:26.270806Z"},"content_sha256":"dc6d837f6d37410826530262fb044827e12e5756cf6db01a783b10c023c46b21","schema_version":"1.0","event_id":"sha256:dc6d837f6d37410826530262fb044827e12e5756cf6db01a783b10c023c46b21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U6YEBESS7YZMRLWVGV363PSTRX/bundle.json","state_url":"https://pith.science/pith/U6YEBESS7YZMRLWVGV363PSTRX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U6YEBESS7YZMRLWVGV363PSTRX/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":"2026-07-07T10:58:26Z","links":{"resolver":"https://pith.science/pith/U6YEBESS7YZMRLWVGV363PSTRX","bundle":"https://pith.science/pith/U6YEBESS7YZMRLWVGV363PSTRX/bundle.json","state":"https://pith.science/pith/U6YEBESS7YZMRLWVGV363PSTRX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U6YEBESS7YZMRLWVGV363PSTRX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:U6YEBESS7YZMRLWVGV363PSTRX","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":"f379e4e0b29c1b6fb67db5dc99aa7573e87edcf8817c0f7d36c9168ebbbc126b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-01T19:56:45Z","title_canon_sha256":"3b3eca2d49efb18082b69a3dff6e87cd413bb49432f3dc7e22d8e1c00117d6e4"},"schema_version":"1.0","source":{"id":"2607.01434","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01434","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01434v1","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01434","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"pith_short_12","alias_value":"U6YEBESS7YZM","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"pith_short_16","alias_value":"U6YEBESS7YZMRLWV","created_at":"2026-07-03T00:17:00Z"},{"alias_kind":"pith_short_8","alias_value":"U6YEBESS","created_at":"2026-07-03T00:17:00Z"}],"graph_snapshots":[{"event_id":"sha256:dc6d837f6d37410826530262fb044827e12e5756cf6db01a783b10c023c46b21","target":"graph","created_at":"2026-07-03T00:17:00Z","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/2607.01434/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum geometry characterizes the variation of electron wavefunctions in solids along a parameter space. Conventionally, crystal momentum is chosen as the parameter, since it couples to electromagnetic fields, offering an interpretation of quantum geometry in terms of dipole matrix elements, polarization fluctuations, and optical responses. However, Bloch momentum is not the only possible parameter space in which a wavefunction can evolve. In this work, we show that quantum geometry can be extended beyond the bare Bloch-band geometry to manifolds whose adiabatic parameters represent deformati","authors_text":"Alejandro S. Mi\\~narro, Gervasi Herranz","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-01T19:56:45Z","title":"Generalized quantum geometry formulated through interacting vertex correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01434","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:aa8b147bca7daab1794bcd9f2c85b2516b3118c643724ed3a63a4a7763c1aca2","target":"record","created_at":"2026-07-03T00:17:00Z","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":"f379e4e0b29c1b6fb67db5dc99aa7573e87edcf8817c0f7d36c9168ebbbc126b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-01T19:56:45Z","title_canon_sha256":"3b3eca2d49efb18082b69a3dff6e87cd413bb49432f3dc7e22d8e1c00117d6e4"},"schema_version":"1.0","source":{"id":"2607.01434","kind":"arxiv","version":1}},"canonical_sha256":"a7b0409252fe32c8aed53577edbe538dfc35f9b67fbb9bc3e6a4f31466059243","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7b0409252fe32c8aed53577edbe538dfc35f9b67fbb9bc3e6a4f31466059243","first_computed_at":"2026-07-03T00:17:00.123355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-03T00:17:00.123355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fw6aEF2M0jLYCJuG/UOanULmdUAnK2x2LR7qi3cddK/T5UfNx+32cGpPnJlGNnKS+W3FEmhHES3I0FX2tK0xAA==","signature_status":"signed_v1","signed_at":"2026-07-03T00:17:00.123724Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.01434","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa8b147bca7daab1794bcd9f2c85b2516b3118c643724ed3a63a4a7763c1aca2","sha256:dc6d837f6d37410826530262fb044827e12e5756cf6db01a783b10c023c46b21"],"state_sha256":"6a96109a9f702da7846efcf77b6198100881600302b6681b45836fe4e1131e6a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tlkv6XXHjkMA2w+JydV8Jz3QUv8T1FMR4cSs4o9dMrEqLTB79ypgQAJMCgVyVeHz03+emDiQd1d1NB5qYm/BCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T10:58:26.272740Z","bundle_sha256":"2d80b11fb28d584cf3824ce7a84228067b91d67717d80f9e56f3d4aa8f4a0c62"}}