{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:ISAOHCYHV6QQXVOVPPPSHPU4SD","short_pith_number":"pith:ISAOHCYH","schema_version":"1.0","canonical_sha256":"4480e38b07afa10bd5d57bdf23be9c90f8299d8876a61a5cf16fca9a22565fb8","source":{"kind":"arxiv","id":"2312.04617","version":1},"attestation_state":"computed","paper":{"title":"A holographic view of topological stabilizer codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Ashvin Vishwanath, Nathanan Tantivasadakarn, Norman Y. Yao, Thomas Schuster","submitted_at":"2023-12-07T19:00:00Z","abstract_excerpt":"The bulk-boundary correspondence is a hallmark feature of topological phases of matter. Nonetheless, our understanding of the correspondence remains incomplete for phases with intrinsic topological order, and is nearly entirely lacking for more exotic phases, such as fractons. Intriguingly, for the former, recent work suggests that bulk topological order manifests in a non-local structure in the boundary Hilbert space; however, a concrete understanding of how and where this perspective applies remains limited. Here, we provide an explicit and general framework for understanding the bulk-bounda"},"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":"2312.04617","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-12-07T19:00:00Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"dc30552b216bcc9599d10db7f3f8e07e41f96133eb1dcf42930d8820e0915250","abstract_canon_sha256":"7feb37c3014eb0f8e30630711b7511fc2c0e5d51a82ab34bc66c1e5aaee60c54"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:21:48.661543Z","signature_b64":"hviQpg5Ema1O3Fx3xE4Ghf5rbqwyIaxu9KYpWD6ooU+TAge2xS5x/OI2UL0/d8THG6hd72BvAhmzguckUnvOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4480e38b07afa10bd5d57bdf23be9c90f8299d8876a61a5cf16fca9a22565fb8","last_reissued_at":"2026-07-05T07:21:48.661077Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:21:48.661077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A holographic view of topological stabilizer codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Ashvin Vishwanath, Nathanan Tantivasadakarn, Norman Y. Yao, Thomas Schuster","submitted_at":"2023-12-07T19:00:00Z","abstract_excerpt":"The bulk-boundary correspondence is a hallmark feature of topological phases of matter. Nonetheless, our understanding of the correspondence remains incomplete for phases with intrinsic topological order, and is nearly entirely lacking for more exotic phases, such as fractons. Intriguingly, for the former, recent work suggests that bulk topological order manifests in a non-local structure in the boundary Hilbert space; however, a concrete understanding of how and where this perspective applies remains limited. Here, we provide an explicit and general framework for understanding the bulk-bounda"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.04617","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/2312.04617/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":"2312.04617","created_at":"2026-07-05T07:21:48.661131+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.04617v1","created_at":"2026-07-05T07:21:48.661131+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.04617","created_at":"2026-07-05T07:21:48.661131+00:00"},{"alias_kind":"pith_short_12","alias_value":"ISAOHCYHV6QQ","created_at":"2026-07-05T07:21:48.661131+00:00"},{"alias_kind":"pith_short_16","alias_value":"ISAOHCYHV6QQXVOV","created_at":"2026-07-05T07:21:48.661131+00:00"},{"alias_kind":"pith_short_8","alias_value":"ISAOHCYH","created_at":"2026-07-05T07:21:48.661131+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.03582","citing_title":"Fracton Topological Holography","ref_index":103,"is_internal_anchor":false},{"citing_arxiv_id":"2410.11942","citing_title":"Operator algebra and algorithmic construction of boundaries and defects in (2+1)D topological Pauli stabilizer codes","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2504.11449","citing_title":"SymTFT construction of gapless exotic-foliated dual models","ref_index":66,"is_internal_anchor":false},{"citing_arxiv_id":"2506.23155","citing_title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","ref_index":122,"is_internal_anchor":false},{"citing_arxiv_id":"2604.27363","citing_title":"Constructing Bulk Topological Orders via Layered Gauging","ref_index":39,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ISAOHCYHV6QQXVOVPPPSHPU4SD","json":"https://pith.science/pith/ISAOHCYHV6QQXVOVPPPSHPU4SD.json","graph_json":"https://pith.science/api/pith-number/ISAOHCYHV6QQXVOVPPPSHPU4SD/graph.json","events_json":"https://pith.science/api/pith-number/ISAOHCYHV6QQXVOVPPPSHPU4SD/events.json","paper":"https://pith.science/paper/ISAOHCYH"},"agent_actions":{"view_html":"https://pith.science/pith/ISAOHCYHV6QQXVOVPPPSHPU4SD","download_json":"https://pith.science/pith/ISAOHCYHV6QQXVOVPPPSHPU4SD.json","view_paper":"https://pith.science/paper/ISAOHCYH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.04617&json=true","fetch_graph":"https://pith.science/api/pith-number/ISAOHCYHV6QQXVOVPPPSHPU4SD/graph.json","fetch_events":"https://pith.science/api/pith-number/ISAOHCYHV6QQXVOVPPPSHPU4SD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ISAOHCYHV6QQXVOVPPPSHPU4SD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ISAOHCYHV6QQXVOVPPPSHPU4SD/action/storage_attestation","attest_author":"https://pith.science/pith/ISAOHCYHV6QQXVOVPPPSHPU4SD/action/author_attestation","sign_citation":"https://pith.science/pith/ISAOHCYHV6QQXVOVPPPSHPU4SD/action/citation_signature","submit_replication":"https://pith.science/pith/ISAOHCYHV6QQXVOVPPPSHPU4SD/action/replication_record"}},"created_at":"2026-07-05T07:21:48.661131+00:00","updated_at":"2026-07-05T07:21:48.661131+00:00"}