{"as_of":"2026-08-08T12:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a8d9ea7d21d78b64975ac503b96d751749f930cd5eb11667413adc83fa018154","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T18:24:54.080343Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T13:08:07.757540Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":"2112.01519","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-07-03T13:08:07.757540Z","title":"Tantivasadakarn, R","venue":null,"work_id":"ef358418-9022-4c05-bb78-80851369e64f","year":2021},"citing_paper":{"arxiv_id":"2308.00747","last_updated":"2024-03-30T04:03:38Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-08-01T18:00:01Z","title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","version":2},"reference_index":189,"source":"pdf_text","source_observed_at":"2026-05-24T07:32:13.524274Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2308.00747"},"observation_digest":"sha256:7d7cb37aadc944485224b7aa52f70bd943850f92f22e779b01e589a82e119a0f","observation_id":"ffb22cbb-3c6b-444c-8955-eb5a63e62cb0","resolution":{"observed_at":"2026-05-24T07:34:09.211390Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-08-07T14:41:26.766793Z","title":"Tantivasadakarn, R","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.18265","last_updated":"2025-05-23T18:01:38Z","snapshot_observed_at":"2026-08-07T14:32:11.605757Z","submitted_at":"2025-05-23T18:01:38Z","title":"Non-Clifford gates between stabilizer codes via non-Abelian topological order","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T14:41:26.766793Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2505.18265"},"observation_digest":"sha256:e7d58d6db232469eac1f7959c0611f43fab2977cb71d5babc76ca439b623c3ae","observation_id":"84c2e414-d177-4e8a-a7f2-891debc6d04d","resolution":{"observed_at":"2026-08-07T14:41:26.766793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":"2112.01519","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-07-03T13:08:07.757540Z","title":"Tantivasadakarn, R","venue":null,"work_id":"ef358418-9022-4c05-bb78-80851369e64f","year":2021},"citing_paper":{"arxiv_id":"2604.27363","last_updated":"2026-04-30T03:19:28Z","snapshot_observed_at":"2026-07-06T23:12:52.141592Z","submitted_at":"2026-04-30T03:19:28Z","title":"Constructing Bulk Topological Orders via Layered Gauging","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-07T10:16:03.883006Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2604.27363"},"observation_digest":"sha256:d096389d2bb692de2a5e187fe4860edc5841ec1633ab2f287874b194726671fe","observation_id":"219bfec0-8e25-472b-9556-2788ce24ad5c","resolution":{"observed_at":"2026-05-12T09:36:26.756736Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":"2112.01519","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-07-03T13:08:07.757540Z","title":"Tantivasadakarn, R","venue":null,"work_id":"ef358418-9022-4c05-bb78-80851369e64f","year":2021},"citing_paper":{"arxiv_id":"2605.15194","last_updated":"2026-05-14T17:59:45Z","snapshot_observed_at":"2026-08-04T17:10:53.596938Z","submitted_at":"2026-05-14T17:59:45Z","title":"Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-05-15T02:51:36.560672Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2605.15194"},"observation_digest":"sha256:35b17acd5bcc609e51fdc5b3a3068daa371efe1db9fcbfdd91918c6ea29e8e1c","observation_id":"4a2df6eb-b960-4812-89fe-1f1e030e9327","resolution":{"observed_at":"2026-05-15T02:53:33.809796Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":"2112.01519","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-07-03T13:08:07.757540Z","title":"Tantivasadakarn, R","venue":null,"work_id":"ef358418-9022-4c05-bb78-80851369e64f","year":2021},"citing_paper":{"arxiv_id":"2606.11484","last_updated":"2026-06-09T22:18:56Z","snapshot_observed_at":"2026-07-06T23:50:35.052764Z","submitted_at":"2026-06-09T22:18:56Z","title":"Handbook of Error-Correcting Codes","version":1},"reference_index":284,"source":"pdf_text","source_observed_at":"2026-06-27T12:51:23.379454Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2606.11484"},"observation_digest":"sha256:5881e9a08a96c36b4a6e5eac994b734a8398d7175fd725b182c1eec91df12753","observation_id":"e51bee7c-51fb-4f98-8d8d-a66138c1d4ce","resolution":{"observed_at":"2026-07-03T06:17:41.265550Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":"2112.01519","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-07-03T13:08:07.757540Z","title":"Tantivasadakarn, R","venue":null,"work_id":"ef358418-9022-4c05-bb78-80851369e64f","year":2021},"citing_paper":{"arxiv_id":"2607.01624","last_updated":"2026-07-02T02:44:27Z","snapshot_observed_at":"2026-08-03T05:18:29.569624Z","submitted_at":"2026-07-02T02:44:27Z","title":"Shallow Unitary Circuits for Kramers-Wannier Dualities","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-03T13:03:07.098539Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2607.01624"},"observation_digest":"sha256:70b51625dff39353837629da70437f0e25f2efc3ece36a7ff977633a24e89a19","observation_id":"89bfe83b-fd10-4578-9f46-833a20e9e5d2","resolution":{"observed_at":"2026-07-03T13:08:07.758997Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-08-01T07:04:53.678529Z","title":"Long-Range Entanglement from Measuring Symmetry-Protected Topological Phases,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21698","last_updated":"2026-07-31T14:13:23Z","snapshot_observed_at":"2026-08-06T18:33:25.103905Z","submitted_at":"2026-07-23T18:00:00Z","title":"Non-Invertible Symmetries Mixing with Witt Non-Trivial Quantum Cellular Automata","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-01T07:04:53.678529Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2607.21698"},"observation_digest":"sha256:b41de4ee2f26533bde5b18bad98ccdb764e664cc66be5d17b59d4b9fad710d17","observation_id":"ff062cd5-8225-4b3e-ac9e-1ee5129d4629","resolution":{"observed_at":"2026-08-01T07:04:53.678529Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-08-03T01:57:31.648530Z","title":"Long-Range Entanglement from Measuring Symmetry-Protected Topological Phases,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21698","last_updated":"2026-07-31T14:13:23Z","snapshot_observed_at":"2026-08-06T18:33:25.103905Z","submitted_at":"2026-07-23T18:00:00Z","title":"Non-Invertible Symmetries Mixing with Witt Non-Trivial Quantum Cellular Automata","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-03T01:57:31.648530Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2607.21698"},"observation_digest":"sha256:0735751d3140346b2fc6cc234f5e011c98ff852f052c9d9deffa18e1f4f4fa78","observation_id":"fbafebdb-34dc-4b19-8e09-2e06ffce9f93","resolution":{"observed_at":"2026-08-03T01:57:31.648530Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-08-01T06:57:49.023405Z","title":"Long-Range Entanglement from Measuring Symmetry-Protected Topological Phases,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21728","last_updated":"2026-07-23T18:24:51Z","snapshot_observed_at":"2026-08-08T07:40:46.360310Z","submitted_at":"2026-07-23T18:24:51Z","title":"Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-01T06:57:49.023405Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2607.21728"},"observation_digest":"sha256:1e647690427aacae36c3917a745a4ed2675aac3297fc115e848bec12ec62d056","observation_id":"8271a9f6-f17c-4766-addd-e4eff1f3af6b","resolution":{"observed_at":"2026-08-01T06:57:49.023405Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.01519","snapshot_observed_at":"2026-08-07T18:24:54.080343Z","title":"Tantivasadakarn, R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06006","last_updated":"2026-08-06T13:12:41Z","snapshot_observed_at":"2026-08-08T11:15:31.080467Z","submitted_at":"2026-08-06T13:12:41Z","title":"Measurement-induced entanglement Hamiltonian","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T18:24:54.080343Z"},"links":{"cited_paper":"/paper/2112.01519","citing_paper":"/paper/2608.06006"},"observation_digest":"sha256:d791f61f99ba0f93ec3825512a4feaa651cfa4b5322c0e311d439df0b29e9613","observation_id":"b9b048ba-f6c4-457c-9126-425095906e3f","resolution":{"observed_at":"2026-08-07T18:24:54.080343Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2112.01519/citation-record","integrity":"/paper/2112.01519/integrity","json":"/paper/2112.01519/citation-record.json","paper":"/paper/2112.01519"},"outbound":[],"paper":{"arxiv_id":"2112.01519","last_updated":"2024-06-08T16:13:19Z","latest_version":3,"primary_category":"cond-mat.str-el","snapshot_observed_at":"2026-08-08T11:01:49.223156Z","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2112.01519."}