{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:BA6W7UZPWVVUWBMOYSK6RDPQ4J","short_pith_number":"pith:BA6W7UZP","schema_version":"1.0","canonical_sha256":"083d6fd32fb56b4b058ec495e88df0e2658f094e2e6575b773d800fa4dee3f6f","source":{"kind":"arxiv","id":"2109.06145","version":1},"attestation_state":"computed","paper":{"title":"Anyon Condensation: Coherent states, Symmetry Enriched Topological Phases, Goldstone Theorem, and Dynamical Rearrangement of Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.QA"],"primary_cat":"cond-mat.str-el","authors_text":"Ling-Yan Hung, Yidun Wan, Yuting Hu, Zichang Huang","submitted_at":"2021-09-13T17:35:32Z","abstract_excerpt":"Although the mathematics of anyon condensation in topological phases has been studied intensively in recent years, a proof of its physical existence is tantamount to constructing an effective Hamiltonian theory. In this paper, we concretely establish the physical foundation of anyon condensation by building the effective Hamiltonian and the Hilbert space, in which we explicitly construct the vacuum of the condensed phase as the coherent states that are the eigenstates of the creation operators that create the condensate anyons. Along with this construction, which is analogous to Laughlin's con"},"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":"2109.06145","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-09-13T17:35:32Z","cross_cats_sorted":["hep-th","math-ph","math.MP","math.QA"],"title_canon_sha256":"9898d0ab70cb3c25cdf1ac3c8e537c1bb307b4881cd5e3a7f42801e5c8778e78","abstract_canon_sha256":"3e902b61b56b8f40448ad78a16d192318cae967f647153fad460e8e72ddf33f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:02:19.250752Z","signature_b64":"Ca+4XkJ98hxreqsPmpXWDdf7PPv+uFbHTzu/1nO5kdz8ku8Ml+U14pxHgFxq+FuqArh8U452q3mGDBUZK98dBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"083d6fd32fb56b4b058ec495e88df0e2658f094e2e6575b773d800fa4dee3f6f","last_reissued_at":"2026-07-05T04:02:19.250279Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:02:19.250279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anyon Condensation: Coherent states, Symmetry Enriched Topological Phases, Goldstone Theorem, and Dynamical Rearrangement of Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.QA"],"primary_cat":"cond-mat.str-el","authors_text":"Ling-Yan Hung, Yidun Wan, Yuting Hu, Zichang Huang","submitted_at":"2021-09-13T17:35:32Z","abstract_excerpt":"Although the mathematics of anyon condensation in topological phases has been studied intensively in recent years, a proof of its physical existence is tantamount to constructing an effective Hamiltonian theory. In this paper, we concretely establish the physical foundation of anyon condensation by building the effective Hamiltonian and the Hilbert space, in which we explicitly construct the vacuum of the condensed phase as the coherent states that are the eigenstates of the creation operators that create the condensate anyons. Along with this construction, which is analogous to Laughlin's con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.06145","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/2109.06145/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2109.06145","created_at":"2026-07-05T04:02:19.250343+00:00"},{"alias_kind":"arxiv_version","alias_value":"2109.06145v1","created_at":"2026-07-05T04:02:19.250343+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.06145","created_at":"2026-07-05T04:02:19.250343+00:00"},{"alias_kind":"pith_short_12","alias_value":"BA6W7UZPWVVU","created_at":"2026-07-05T04:02:19.250343+00:00"},{"alias_kind":"pith_short_16","alias_value":"BA6W7UZPWVVUWBMO","created_at":"2026-07-05T04:02:19.250343+00:00"},{"alias_kind":"pith_short_8","alias_value":"BA6W7UZP","created_at":"2026-07-05T04:02:19.250343+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.24978","citing_title":"Defect Conformal Manifolds along RG Domain Walls between $\\mathbb Z_N$-Parafermions and Minimal Models","ref_index":28,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BA6W7UZPWVVUWBMOYSK6RDPQ4J","json":"https://pith.science/pith/BA6W7UZPWVVUWBMOYSK6RDPQ4J.json","graph_json":"https://pith.science/api/pith-number/BA6W7UZPWVVUWBMOYSK6RDPQ4J/graph.json","events_json":"https://pith.science/api/pith-number/BA6W7UZPWVVUWBMOYSK6RDPQ4J/events.json","paper":"https://pith.science/paper/BA6W7UZP"},"agent_actions":{"view_html":"https://pith.science/pith/BA6W7UZPWVVUWBMOYSK6RDPQ4J","download_json":"https://pith.science/pith/BA6W7UZPWVVUWBMOYSK6RDPQ4J.json","view_paper":"https://pith.science/paper/BA6W7UZP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2109.06145&json=true","fetch_graph":"https://pith.science/api/pith-number/BA6W7UZPWVVUWBMOYSK6RDPQ4J/graph.json","fetch_events":"https://pith.science/api/pith-number/BA6W7UZPWVVUWBMOYSK6RDPQ4J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BA6W7UZPWVVUWBMOYSK6RDPQ4J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BA6W7UZPWVVUWBMOYSK6RDPQ4J/action/storage_attestation","attest_author":"https://pith.science/pith/BA6W7UZPWVVUWBMOYSK6RDPQ4J/action/author_attestation","sign_citation":"https://pith.science/pith/BA6W7UZPWVVUWBMOYSK6RDPQ4J/action/citation_signature","submit_replication":"https://pith.science/pith/BA6W7UZPWVVUWBMOYSK6RDPQ4J/action/replication_record"}},"created_at":"2026-07-05T04:02:19.250343+00:00","updated_at":"2026-07-05T04:02:19.250343+00:00"}