{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:G4W7VNNJCIVFWVORZGJMEFSKWE","short_pith_number":"pith:G4W7VNNJ","canonical_record":{"source":{"id":"2407.06713","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-07-09T09:39:58Z","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"title_canon_sha256":"fd57c9fae1495d43582b404b70bcde9731daee4fb82364e64b090a991b84f2f1","abstract_canon_sha256":"5f02e202b19345d8a3164224b202e55da0825068b6a6ba310fafc9d26c076674"},"schema_version":"1.0"},"canonical_sha256":"372dfab5a9122a5b55d1c992c2164ab1383f8074e8f4627060dcb86edc2b8059","source":{"kind":"arxiv","id":"2407.06713","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.06713","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"arxiv_version","alias_value":"2407.06713v2","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.06713","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"pith_short_12","alias_value":"G4W7VNNJCIVF","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"pith_short_16","alias_value":"G4W7VNNJCIVFWVOR","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"pith_short_8","alias_value":"G4W7VNNJ","created_at":"2026-07-05T09:24:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:G4W7VNNJCIVFWVORZGJMEFSKWE","target":"record","payload":{"canonical_record":{"source":{"id":"2407.06713","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-07-09T09:39:58Z","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"title_canon_sha256":"fd57c9fae1495d43582b404b70bcde9731daee4fb82364e64b090a991b84f2f1","abstract_canon_sha256":"5f02e202b19345d8a3164224b202e55da0825068b6a6ba310fafc9d26c076674"},"schema_version":"1.0"},"canonical_sha256":"372dfab5a9122a5b55d1c992c2164ab1383f8074e8f4627060dcb86edc2b8059","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:24:59.699613Z","signature_b64":"2C+9njF6XeVY815OaysSZu5u5lS8Owv/bgtEuA5c114d0khEj7vY5prondPVCq+svz6zXEqb98Isn4fgrWXOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"372dfab5a9122a5b55d1c992c2164ab1383f8074e8f4627060dcb86edc2b8059","last_reissued_at":"2026-07-05T09:24:59.699125Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:24:59.699125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.06713","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":"2026-07-05T09:24:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aAWV2MywoOyE+QgGJf/sw2S9x2fQavysfpK4X4EFQtopwpao2QCNqrGu2kqfuJiRAXVvFg+Yidaf6S2H5UVhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:40:49.098126Z"},"content_sha256":"7fe083093887832d8d242fb84a52bde1d38e5bd70a9fbfcecfd38932b183fdeb","schema_version":"1.0","event_id":"sha256:7fe083093887832d8d242fb84a52bde1d38e5bd70a9fbfcecfd38932b183fdeb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:G4W7VNNJCIVFWVORZGJMEFSKWE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Luttinger liquid tensor network: sine versus tangent dispersion of massless Dirac fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"A. Don\\'is Vela, C. W. J. Beenakker, J. Tworzyd{\\l}o, M. J. Pacholski, P. Emonts, S. Polla, V. A. Zakharov","submitted_at":"2024-07-09T09:39:58Z","abstract_excerpt":"To apply the powerful many-body techniques of tensor networks to massless Dirac fermions one wants to discretize the $p\\cdot\\sigma$ Hamiltonian and construct a matrix-product-operator (MPO) representation. We compare two alternative discretization schemes, one with a sine dispersion, the other with a tangent dispersion, applied to a one-dimensional Luttinger liquid with Hubbard interaction. Both types of lattice fermions allow for an exact MPO representation of low bond dimension, so they are efficiently computable, but only the tangent dispersion gives a power law decay of the propagator in a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.06713","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/2407.06713/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":"2026-07-05T09:24:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L2dcUxLlmyqdjQqM5Jush6zlRqnnQlKbF7zLUD5vSffJr5SGLGfuKz+1um876sKSoMFcbcCU1ONuFkh0V3jJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T06:40:49.098626Z"},"content_sha256":"4c375a71196276d8565eab08713738ca5a369fa1d3ba425b759759d1af4ecdcb","schema_version":"1.0","event_id":"sha256:4c375a71196276d8565eab08713738ca5a369fa1d3ba425b759759d1af4ecdcb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G4W7VNNJCIVFWVORZGJMEFSKWE/bundle.json","state_url":"https://pith.science/pith/G4W7VNNJCIVFWVORZGJMEFSKWE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G4W7VNNJCIVFWVORZGJMEFSKWE/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":"2026-08-14T06:40:49Z","links":{"resolver":"https://pith.science/pith/G4W7VNNJCIVFWVORZGJMEFSKWE","bundle":"https://pith.science/pith/G4W7VNNJCIVFWVORZGJMEFSKWE/bundle.json","state":"https://pith.science/pith/G4W7VNNJCIVFWVORZGJMEFSKWE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G4W7VNNJCIVFWVORZGJMEFSKWE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:G4W7VNNJCIVFWVORZGJMEFSKWE","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":"5f02e202b19345d8a3164224b202e55da0825068b6a6ba310fafc9d26c076674","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-07-09T09:39:58Z","title_canon_sha256":"fd57c9fae1495d43582b404b70bcde9731daee4fb82364e64b090a991b84f2f1"},"schema_version":"1.0","source":{"id":"2407.06713","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.06713","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"arxiv_version","alias_value":"2407.06713v2","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.06713","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"pith_short_12","alias_value":"G4W7VNNJCIVF","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"pith_short_16","alias_value":"G4W7VNNJCIVFWVOR","created_at":"2026-07-05T09:24:59Z"},{"alias_kind":"pith_short_8","alias_value":"G4W7VNNJ","created_at":"2026-07-05T09:24:59Z"}],"graph_snapshots":[{"event_id":"sha256:4c375a71196276d8565eab08713738ca5a369fa1d3ba425b759759d1af4ecdcb","target":"graph","created_at":"2026-07-05T09:24:59Z","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/2407.06713/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To apply the powerful many-body techniques of tensor networks to massless Dirac fermions one wants to discretize the $p\\cdot\\sigma$ Hamiltonian and construct a matrix-product-operator (MPO) representation. We compare two alternative discretization schemes, one with a sine dispersion, the other with a tangent dispersion, applied to a one-dimensional Luttinger liquid with Hubbard interaction. Both types of lattice fermions allow for an exact MPO representation of low bond dimension, so they are efficiently computable, but only the tangent dispersion gives a power law decay of the propagator in a","authors_text":"A. Don\\'is Vela, C. W. J. Beenakker, J. Tworzyd{\\l}o, M. J. Pacholski, P. Emonts, S. Polla, V. A. Zakharov","cross_cats":["cond-mat.mes-hall","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-07-09T09:39:58Z","title":"Luttinger liquid tensor network: sine versus tangent dispersion of massless Dirac fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.06713","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":"sha256:7fe083093887832d8d242fb84a52bde1d38e5bd70a9fbfcecfd38932b183fdeb","target":"record","created_at":"2026-07-05T09:24:59Z","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":"5f02e202b19345d8a3164224b202e55da0825068b6a6ba310fafc9d26c076674","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-07-09T09:39:58Z","title_canon_sha256":"fd57c9fae1495d43582b404b70bcde9731daee4fb82364e64b090a991b84f2f1"},"schema_version":"1.0","source":{"id":"2407.06713","kind":"arxiv","version":2}},"canonical_sha256":"372dfab5a9122a5b55d1c992c2164ab1383f8074e8f4627060dcb86edc2b8059","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"372dfab5a9122a5b55d1c992c2164ab1383f8074e8f4627060dcb86edc2b8059","first_computed_at":"2026-07-05T09:24:59.699125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:24:59.699125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2C+9njF6XeVY815OaysSZu5u5lS8Owv/bgtEuA5c114d0khEj7vY5prondPVCq+svz6zXEqb98Isn4fgrWXOAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:24:59.699613Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.06713","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fe083093887832d8d242fb84a52bde1d38e5bd70a9fbfcecfd38932b183fdeb","sha256:4c375a71196276d8565eab08713738ca5a369fa1d3ba425b759759d1af4ecdcb"],"state_sha256":"b890fdb84f3c3eceb0d07a0681b4354d6544f9a43c6fcee388014f78e82d7e8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7THwBTM9rZZ0RO79YubEzvDCpA9ZtXs56PHcS+PrnEujUiOb9mJGag7UwQmSFodtA3Wm3wVftJ9C2sicUqaHAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T06:40:49.103381Z","bundle_sha256":"b13705f42e3c3f2449cd64f6b28d65c3809431d838c9acba70ad96052743226b"}}