{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6RNYAP3BOK7IF2YUHIRN6U4GT3","short_pith_number":"pith:6RNYAP3B","canonical_record":{"source":{"id":"2309.09965","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-09-18T17:43:25Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"6c51b8d30cb58ba83a2a6cdd94092909a5998b9b80d691cac0936cacd548d1c6","abstract_canon_sha256":"a5cea54e062c76a9513d3394ff134bedeaa6a9ccb4f5857274962a50ae0db228"},"schema_version":"1.0"},"canonical_sha256":"f45b803f6172be82eb143a22df53869ee568ac45654376f3612bbb93763c7884","source":{"kind":"arxiv","id":"2309.09965","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.09965","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"arxiv_version","alias_value":"2309.09965v2","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.09965","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"pith_short_12","alias_value":"6RNYAP3BOK7I","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"pith_short_16","alias_value":"6RNYAP3BOK7IF2YU","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"pith_short_8","alias_value":"6RNYAP3B","created_at":"2026-07-05T08:25:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6RNYAP3BOK7IF2YUHIRN6U4GT3","target":"record","payload":{"canonical_record":{"source":{"id":"2309.09965","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-09-18T17:43:25Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"6c51b8d30cb58ba83a2a6cdd94092909a5998b9b80d691cac0936cacd548d1c6","abstract_canon_sha256":"a5cea54e062c76a9513d3394ff134bedeaa6a9ccb4f5857274962a50ae0db228"},"schema_version":"1.0"},"canonical_sha256":"f45b803f6172be82eb143a22df53869ee568ac45654376f3612bbb93763c7884","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:25:28.777058Z","signature_b64":"IxgBAqBmAWAW1stt8uFI2nvsWyK2Fs9P51YYLbk/fT2dtstvTvU6EvtC2fxaU7MPI/j3MFVnEJabQoXo/xY7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f45b803f6172be82eb143a22df53869ee568ac45654376f3612bbb93763c7884","last_reissued_at":"2026-07-05T08:25:28.776592Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:25:28.776592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.09965","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":"2026-07-05T08:25:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ZdDE/aInFQCVfuHHofdy7j1qkldI79bhqmhxXjZo7KG4rosVwWIjhLRz/QneMfPdGvOD7R5wcAWmVlPDWNEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T08:07:34.547113Z"},"content_sha256":"ec7be27cd305b3f4217e9d78cef46819314b5a66e66500838bdad7cc794b7d81","schema_version":"1.0","event_id":"sha256:ec7be27cd305b3f4217e9d78cef46819314b5a66e66500838bdad7cc794b7d81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6RNYAP3BOK7IF2YUHIRN6U4GT3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Diagonalization of $\\mathrm{SU}(N)$ Fermi-Hubbard Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"cond-mat.str-el","authors_text":"Pierre Nataf, Thomas Botzung","submitted_at":"2023-09-18T17:43:25Z","abstract_excerpt":"We show how to perform exact diagonalizations of $\\mathrm{SU}(N)$ Fermi-Hubbard models on $L$-site clusters separately in each irreducible representation ({irrep}) of $\\mathrm{SU}(N)$. Using the representation theory of the unitary group $\\mathrm{U}(L)$, we demonstrate that a convenient orthonormal basis, on which matrix elements of the Hamiltonian are very simple, is given by the set of {\\it semistandard Young tableaux} (or, equivalently the Gelfand-Tsetlin patterns) corresponding to the targeted irrep. As an application of this color factorization, we study the robustness of some $\\mathrm{SU"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.09965","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/2309.09965/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":"2026-07-05T08:25:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lmXOS+OmduyPAJZJf3qt13GAe+LIo6w0nO9eH9z3LGnuABPEtRHFHXHYAQt49sQlvXQrDHlKKO1nfVrQwPhBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T08:07:34.547489Z"},"content_sha256":"57b740658275cd28948c3d1b64e3d3b1563e898df754fa7bca1654eb4ae00b6d","schema_version":"1.0","event_id":"sha256:57b740658275cd28948c3d1b64e3d3b1563e898df754fa7bca1654eb4ae00b6d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6RNYAP3BOK7IF2YUHIRN6U4GT3/bundle.json","state_url":"https://pith.science/pith/6RNYAP3BOK7IF2YUHIRN6U4GT3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6RNYAP3BOK7IF2YUHIRN6U4GT3/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":"2026-07-07T08:07:34Z","links":{"resolver":"https://pith.science/pith/6RNYAP3BOK7IF2YUHIRN6U4GT3","bundle":"https://pith.science/pith/6RNYAP3BOK7IF2YUHIRN6U4GT3/bundle.json","state":"https://pith.science/pith/6RNYAP3BOK7IF2YUHIRN6U4GT3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6RNYAP3BOK7IF2YUHIRN6U4GT3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6RNYAP3BOK7IF2YUHIRN6U4GT3","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":"a5cea54e062c76a9513d3394ff134bedeaa6a9ccb4f5857274962a50ae0db228","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-09-18T17:43:25Z","title_canon_sha256":"6c51b8d30cb58ba83a2a6cdd94092909a5998b9b80d691cac0936cacd548d1c6"},"schema_version":"1.0","source":{"id":"2309.09965","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.09965","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"arxiv_version","alias_value":"2309.09965v2","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.09965","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"pith_short_12","alias_value":"6RNYAP3BOK7I","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"pith_short_16","alias_value":"6RNYAP3BOK7IF2YU","created_at":"2026-07-05T08:25:28Z"},{"alias_kind":"pith_short_8","alias_value":"6RNYAP3B","created_at":"2026-07-05T08:25:28Z"}],"graph_snapshots":[{"event_id":"sha256:57b740658275cd28948c3d1b64e3d3b1563e898df754fa7bca1654eb4ae00b6d","target":"graph","created_at":"2026-07-05T08:25:28Z","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/2309.09965/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show how to perform exact diagonalizations of $\\mathrm{SU}(N)$ Fermi-Hubbard models on $L$-site clusters separately in each irreducible representation ({irrep}) of $\\mathrm{SU}(N)$. Using the representation theory of the unitary group $\\mathrm{U}(L)$, we demonstrate that a convenient orthonormal basis, on which matrix elements of the Hamiltonian are very simple, is given by the set of {\\it semistandard Young tableaux} (or, equivalently the Gelfand-Tsetlin patterns) corresponding to the targeted irrep. As an application of this color factorization, we study the robustness of some $\\mathrm{SU","authors_text":"Pierre Nataf, Thomas Botzung","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-09-18T17:43:25Z","title":"Exact Diagonalization of $\\mathrm{SU}(N)$ Fermi-Hubbard Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.09965","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:ec7be27cd305b3f4217e9d78cef46819314b5a66e66500838bdad7cc794b7d81","target":"record","created_at":"2026-07-05T08:25:28Z","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":"a5cea54e062c76a9513d3394ff134bedeaa6a9ccb4f5857274962a50ae0db228","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-09-18T17:43:25Z","title_canon_sha256":"6c51b8d30cb58ba83a2a6cdd94092909a5998b9b80d691cac0936cacd548d1c6"},"schema_version":"1.0","source":{"id":"2309.09965","kind":"arxiv","version":2}},"canonical_sha256":"f45b803f6172be82eb143a22df53869ee568ac45654376f3612bbb93763c7884","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f45b803f6172be82eb143a22df53869ee568ac45654376f3612bbb93763c7884","first_computed_at":"2026-07-05T08:25:28.776592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:25:28.776592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IxgBAqBmAWAW1stt8uFI2nvsWyK2Fs9P51YYLbk/fT2dtstvTvU6EvtC2fxaU7MPI/j3MFVnEJabQoXo/xY7Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:25:28.777058Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.09965","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec7be27cd305b3f4217e9d78cef46819314b5a66e66500838bdad7cc794b7d81","sha256:57b740658275cd28948c3d1b64e3d3b1563e898df754fa7bca1654eb4ae00b6d"],"state_sha256":"04e6e224cfc8f11bad6557c441a01c45752ea82a1bf4b36e386bf635f96d4cf2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TwKoXelrMVPRMTgA0e/IwRdDSFwdnz9/Sfeo1TKwH5uE0x0tWx8+IHWHpRDDYKtDeW6dE1R3GEH6MP5yqco2AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T08:07:34.549451Z","bundle_sha256":"bca81660bff23bf2b2a540af4d89821c7ad1d17034da9f4f603ead67da976062"}}