{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:CTUG6VI336FGCIZETGF7GOUCET","short_pith_number":"pith:CTUG6VI3","schema_version":"1.0","canonical_sha256":"14e86f551bdf8a612324998bf33a8224c9d2027c616d9f82f4c5447161edd110","source":{"kind":"arxiv","id":"1310.4507","version":2},"attestation_state":"computed","paper":{"title":"Bifurcation in entanglement renormalization group flow of a gapped spin model","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Jeongwan Haah","submitted_at":"2013-10-16T20:01:25Z","abstract_excerpt":"We study entanglement renormalization group transformations for the ground states of a spin model, called cubic code model $H_A$ in three dimensions, in order to understand long-range entanglement structure. The cubic code model has degenerate and locally indistinguishable ground states under periodic boundary conditions. In the entanglement renormalization, one applies local unitary transformations on a state, called disentangling transformations, after which some of the spins are completely disentangled from the rest and then discarded. We find a disentangling unitary to establish equivalenc"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1310.4507","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-10-16T20:01:25Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"73c862326c8120afcea0072b1d29a7719f1cdff51b9468361f62452878b9ce9e","abstract_canon_sha256":"45991a9b5774b932d947fe76bd41af0dabf27b3f8f3edad30af8e898bd9970ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:45.549762Z","signature_b64":"2niffg0P0MfF105wW4RZnvk83Xd/8s9APi5mSeieuOPpab87bAjsVemHYkw58zGo85XxTnQBOiO51jZPsKppBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14e86f551bdf8a612324998bf33a8224c9d2027c616d9f82f4c5447161edd110","last_reissued_at":"2026-05-18T02:58:45.548873Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:45.548873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bifurcation in entanglement renormalization group flow of a gapped spin model","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Jeongwan Haah","submitted_at":"2013-10-16T20:01:25Z","abstract_excerpt":"We study entanglement renormalization group transformations for the ground states of a spin model, called cubic code model $H_A$ in three dimensions, in order to understand long-range entanglement structure. The cubic code model has degenerate and locally indistinguishable ground states under periodic boundary conditions. In the entanglement renormalization, one applies local unitary transformations on a state, called disentangling transformations, after which some of the spins are completely disentangled from the rest and then discarded. We find a disentangling unitary to establish equivalenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4507","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1310.4507","created_at":"2026-05-18T02:58:45.549017+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.4507v2","created_at":"2026-05-18T02:58:45.549017+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4507","created_at":"2026-05-18T02:58:45.549017+00:00"},{"alias_kind":"pith_short_12","alias_value":"CTUG6VI336FG","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"CTUG6VI336FGCIZE","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"CTUG6VI3","created_at":"2026-05-18T12:27:40.988391+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.08049","citing_title":"Sorting topological stabilizer models in three dimensions","ref_index":20,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CTUG6VI336FGCIZETGF7GOUCET","json":"https://pith.science/pith/CTUG6VI336FGCIZETGF7GOUCET.json","graph_json":"https://pith.science/api/pith-number/CTUG6VI336FGCIZETGF7GOUCET/graph.json","events_json":"https://pith.science/api/pith-number/CTUG6VI336FGCIZETGF7GOUCET/events.json","paper":"https://pith.science/paper/CTUG6VI3"},"agent_actions":{"view_html":"https://pith.science/pith/CTUG6VI336FGCIZETGF7GOUCET","download_json":"https://pith.science/pith/CTUG6VI336FGCIZETGF7GOUCET.json","view_paper":"https://pith.science/paper/CTUG6VI3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.4507&json=true","fetch_graph":"https://pith.science/api/pith-number/CTUG6VI336FGCIZETGF7GOUCET/graph.json","fetch_events":"https://pith.science/api/pith-number/CTUG6VI336FGCIZETGF7GOUCET/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CTUG6VI336FGCIZETGF7GOUCET/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CTUG6VI336FGCIZETGF7GOUCET/action/storage_attestation","attest_author":"https://pith.science/pith/CTUG6VI336FGCIZETGF7GOUCET/action/author_attestation","sign_citation":"https://pith.science/pith/CTUG6VI336FGCIZETGF7GOUCET/action/citation_signature","submit_replication":"https://pith.science/pith/CTUG6VI336FGCIZETGF7GOUCET/action/replication_record"}},"created_at":"2026-05-18T02:58:45.549017+00:00","updated_at":"2026-05-18T02:58:45.549017+00:00"}