{"as_of":"2026-08-16T02:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:840fa5a3034633ec34e2acf8f59b60ceba76432d6cf044bfde422f94d094333d","coverage":[{"denominator":85,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":85,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T22:20:19.348031Z","state":"measured"},{"denominator":91,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":91,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T14:19:52.477506Z","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":"2026-07-04T04:49:35.481979Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.03569","snapshot_observed_at":"2026-08-11T14:19:52.477506Z","title":"Fujii, K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.12255","last_updated":"2025-05-14T16:38:31Z","snapshot_observed_at":"2026-08-14T14:35:39.772846Z","submitted_at":"2024-12-16T19:00:01Z","title":"Toolkit for General 2d Scalar Potential in LCT","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T14:19:52.477506Z"},"links":{"cited_paper":"/paper/2412.03569","citing_paper":"/paper/2412.12255"},"observation_digest":"sha256:f0aa54f3b448ecf00537783a0b6c416dda987878f51de604d8c47e8257a572b3","observation_id":"74d4ab69-a2c4-4411-b49a-abda56352bb0","resolution":{"observed_at":"2026-08-11T14:19:52.477506Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"cited_work":{"arxiv_id":"2412.03569","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.03569","snapshot_observed_at":"2026-07-04T04:49:35.481979Z","title":"Fujii, K","venue":null,"work_id":"358d96ee-e8d0-4134-ad1f-62d84c07fdd4","year":2025},"citing_paper":{"arxiv_id":"2508.16363","last_updated":"2026-04-14T15:40:23Z","snapshot_observed_at":"2026-08-15T02:34:56.166773Z","submitted_at":"2025-08-22T13:14:29Z","title":"Infinite matrix product states for $(1+1)$-dimensional gauge theories","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-18T21:50:50.654030Z"},"links":{"cited_paper":"/paper/2412.03569","citing_paper":"/paper/2508.16363"},"observation_digest":"sha256:a32356cc143de97b823f6b7ee22206d768ee4e2139774e7ffe976e1f880cde53","observation_id":"01a46065-2584-4b95-bac4-d435b1881be4","resolution":{"observed_at":"2026-05-18T21:51:52.032194Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.03569","snapshot_observed_at":"2026-08-02T23:39:47.081599Z","title":"Fujii, K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.13124","last_updated":"2026-06-01T15:52:38Z","snapshot_observed_at":"2026-08-13T08:46:08.731855Z","submitted_at":"2026-02-13T17:21:17Z","title":"Deconfinement from Thermal Tensor Networks: Universal CFT signature in (2+1)-dimensional $\\mathbb{Z}_N$ lattice gauge theory","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T23:39:47.081599Z"},"links":{"cited_paper":"/paper/2412.03569","citing_paper":"/paper/2602.13124"},"observation_digest":"sha256:e32d93ab0cc6f124e4382297d2bb076d0cbe591fa0e2473588d5a005b64f25bf","observation_id":"7b97e9f3-87c2-4977-bb73-657154f8bf7b","resolution":{"observed_at":"2026-08-02T23:39:47.081599Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"cited_work":{"arxiv_id":"2412.03569","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.03569","snapshot_observed_at":"2026-07-04T04:49:35.481979Z","title":"Fujii, K","venue":null,"work_id":"358d96ee-e8d0-4134-ad1f-62d84c07fdd4","year":2025},"citing_paper":{"arxiv_id":"2605.08042","last_updated":"2026-05-08T17:32:20Z","snapshot_observed_at":"2026-08-14T06:26:23.975657Z","submitted_at":"2026-05-08T17:32:20Z","title":"The two-flavor Schwinger model at 50: Solving Coleman's puzzles","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-11T02:27:52.992361Z"},"links":{"cited_paper":"/paper/2412.03569","citing_paper":"/paper/2605.08042"},"observation_digest":"sha256:ecc08bc3d92ff5ef9ff72ef508f021d5c4b24f9d90dd51375198bd2e3a29cf86","observation_id":"2e4d0e11-c0f6-40b7-8e41-213ca993d634","resolution":{"observed_at":"2026-05-11T03:30:56.801684Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"cited_work":{"arxiv_id":"2412.03569","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.03569","snapshot_observed_at":"2026-07-04T04:49:35.481979Z","title":"Fujii, K","venue":null,"work_id":"358d96ee-e8d0-4134-ad1f-62d84c07fdd4","year":2025},"citing_paper":{"arxiv_id":"2605.17183","last_updated":"2026-05-16T22:40:42Z","snapshot_observed_at":"2026-08-15T14:10:37.532689Z","submitted_at":"2026-05-16T22:40:42Z","title":"Dense $\\mathrm{QC_2D_2}$ with uniform matrix product states","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-20T13:54:24.392113Z"},"links":{"cited_paper":"/paper/2412.03569","citing_paper":"/paper/2605.17183"},"observation_digest":"sha256:85ccca632aa40edfff9ffd5acd77dd0384b0c2b6fb751b4574fc42d0abcee1a8","observation_id":"ed119870-9f6c-4edf-8ec9-1f6ab6fb8f3f","resolution":{"observed_at":"2026-05-20T13:58:20.584461Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"cited_work":{"arxiv_id":"2412.03569","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.03569","snapshot_observed_at":"2026-07-04T04:49:35.481979Z","title":"Fujii, K","venue":null,"work_id":"358d96ee-e8d0-4134-ad1f-62d84c07fdd4","year":2025},"citing_paper":{"arxiv_id":"2606.19732","last_updated":"2026-06-18T02:56:38Z","snapshot_observed_at":"2026-08-13T14:00:39.276344Z","submitted_at":"2026-06-18T02:56:38Z","title":"Quantum models with the Yang-Lee phase transition","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-06-26T16:43:43.113987Z"},"links":{"cited_paper":"/paper/2412.03569","citing_paper":"/paper/2606.19732"},"observation_digest":"sha256:5122eb6fe16179b03f67a3cdaad70f54bfe5e0eccf316d2b5691a3ab827f0815","observation_id":"8d1b425d-da86-4aea-aa64-31564b6a9e0f","resolution":{"observed_at":"2026-07-04T04:49:35.483811Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.03569/citation-record","integrity":"/paper/2412.03569/integrity","json":"/paper/2412.03569/citation-record.json","paper":"/paper/2412.03569"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:19.017964Z","title":"good fits","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.017964Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:93069b9e24e5cfb2e47274a00fc8158a510f84c0c9b515052292fc1918c0f730","observation_id":"042d363c-0de3-459d-9782-7d24546edb9d","resolution":{"observed_at":"2026-08-11T22:20:19.017964Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:19.023306Z","title":null,"venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.023306Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:bfb3241380432fc0ebb2967222a2c77d8dbec6b15f93d4aa5d858f0545a9bed5","observation_id":"5514fe7b-5af7-42a3-a65a-c926b77e5f76","resolution":{"observed_at":"2026-08-11T22:20:19.023306Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:19.027254Z","title":null,"venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.027254Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:417f012348bd0650cf5ca9d1cd4884556ff48e12a3b4f250eec2454630127406","observation_id":"67d0993d-853f-470c-8a3f-a1a4ae429d76","resolution":{"observed_at":"2026-08-11T22:20:19.027254Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:19.031337Z","title":"Duncan and M","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.031337Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:5a4c7f9979e1f88bb773c455a3acfd0ea2ea7fb868df7865cddfa5266c400900","observation_id":"22c53bb6-c3d8-40fd-a9f0-2f842e358f53","resolution":{"observed_at":"2026-08-11T22:20:19.031337Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:19.034947Z","title":"Ranft and A","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.034947Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:12692d47b20f7b5b73b8ddf852129c6cef533000358b3a69eacf9387613e3993","observation_id":"5991afa4-cb56-4018-b63d-bc9c7eaf8c6f","resolution":{"observed_at":"2026-08-11T22:20:19.034947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.262142Z","title":"Schiller and J","venue":null,"work_id":"e8d8dc1c-089f-4c83-b348-0089341fa9c2","year":1983},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.038883Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:aaecf58c84e494ed8c6d31038be8882921b85f5d2514539bc54fe01dd58946a3","observation_id":"308fba2e-9cec-434c-8d17-c33fda39ca35","resolution":{"observed_at":"2026-08-11T22:20:20.266261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.249548Z","title":"Bender, H","venue":null,"work_id":"6012afed-3ef0-4baa-8ec8-6931c10df797","year":1985},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.043200Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:c80baa1be21d8066b42729b67d8248486f3de42260578c4f39612047b0eed0ab","observation_id":"c9ba06c3-0a7d-4a2d-afd3-8c473bff7749","resolution":{"observed_at":"2026-08-11T22:20:20.253880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.237154Z","title":"Potvin, A nonperturbative study of hadronization with heavy sources","venue":null,"work_id":"2d8a3ca1-0b8a-457a-a58a-da57fa5426bd","year":1985},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.046720Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:79701b14297d672c5983f1456a962faa2f4c2644cc1b0395f6e0ae4df7de09f5","observation_id":"d856070c-d3fe-4dcc-ace3-d1ab11b8b3a9","resolution":{"observed_at":"2026-08-11T22:20:20.241298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.225070Z","title":null,"venue":null,"work_id":"b5e5392a-0e05-42c9-86ca-59cfc6865613","year":1998},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.050437Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:83932ea22c29ca3c5688e681311f647cf6c0b576ceebd151c65d301c69a7c3e0","observation_id":"abc3c0b5-0fb6-4068-ae88-92238ab04b74","resolution":{"observed_at":"2026-08-11T22:20:20.229239Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.05481","last_updated":"2023-11-29T02:11:40Z","snapshot_observed_at":"2026-08-13T23:33:48.304723Z","submitted_at":"2023-03-09T18:31:56Z","title":"Monte Carlo study of Schwinger model without the sign problem","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.05481","snapshot_observed_at":"2026-08-11T22:20:19.053672Z","title":"Ohata, Monte Carlo study of Schwinger model without the sign problem , JHEP 12 (2023) 007 [2303.05481]","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.053672Z"},"links":{"cited_paper":"/paper/2303.05481","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:a288c5c16c9f73cd969a9a938c2216781cc7218c1d9c1c8213dffa6f10e00f88","observation_id":"b92f451d-47d5-429a-a441-97435144e3f2","resolution":{"observed_at":"2026-08-11T22:20:19.053672Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.04738","last_updated":"2023-12-27T08:29:21Z","snapshot_observed_at":"2026-08-13T05:29:49.176102Z","submitted_at":"2023-11-08T15:04:41Z","title":"Phase diagram near the quantum critical point in Schwinger model at $\\theta = \\pi$: analogy with quantum Ising chain","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.04738","snapshot_observed_at":"2026-08-11T22:20:19.057164Z","title":"Ohata, Phase diagram near the quantum critical point in Schwinger model at θ = π: analogy with quantum Ising chain , PTEP 2024 (2024) 013B02 [2311.04738]","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.057164Z"},"links":{"cited_paper":"/paper/2311.04738","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:2c86cad306b0e600e73dab479169608a47c2b5c03038aef3feb955b25196ff2a","observation_id":"51148927-ef10-4d72-ac43-7fa9d796931a","resolution":{"observed_at":"2026-08-11T22:20:19.057164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-lat/0201007","last_updated":"2002-01-07T03:49:36Z","snapshot_observed_at":"2026-07-07T03:41:06.405921Z","submitted_at":"2002-01-07T03:49:36Z","title":"Density Matrix Renormalization Group Approach to the Massive Schwinger Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-lat/0201007","snapshot_observed_at":"2026-08-11T22:20:19.061864Z","title":"Byrnes, P","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.061864Z"},"links":{"cited_paper":"/paper/hep-lat/0201007","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:1c0420611b26980c7f8a98621bd4bf030a7124a1cc2c25e5b675494195738c68","observation_id":"99b39ebc-83e7-4e49-b355-895df8cd9cd8","resolution":{"observed_at":"2026-08-11T22:20:19.061864Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-lat/0202014","last_updated":"2002-02-11T04:09:11Z","snapshot_observed_at":"2026-07-07T03:41:06.405921Z","submitted_at":"2002-02-11T04:09:11Z","title":"Density Matrix Renormalisation Group Approach to the Massive Schwinger Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-lat/0202014","snapshot_observed_at":"2026-08-11T22:20:19.065708Z","title":"Byrnes, P","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.065708Z"},"links":{"cited_paper":"/paper/hep-lat/0202014","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:7c3282b46cfdfc72cb3d033a1d97a4e690db4b6bc75bceb1370334e1d841532c","observation_id":"c2bcaf69-2894-40ef-ad25-f729b1a81885","resolution":{"observed_at":"2026-08-11T22:20:19.065708Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.3765","last_updated":"2013-11-10T15:58:00Z","snapshot_observed_at":"2026-08-15T00:17:38.346896Z","submitted_at":"2013-05-16T11:46:24Z","title":"The mass spectrum of the Schwinger model with Matrix Product States","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.3765","snapshot_observed_at":"2026-08-11T22:20:19.069553Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.069553Z"},"links":{"cited_paper":"/paper/1305.3765","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:038639114f82855d752900b473a9b9e7bf23d76a57bffb32c457ca0a3b27b0dc","observation_id":"1e6ce19a-8759-45c0-a7d6-6358fd5dd0ef","resolution":{"observed_at":"2026-08-11T22:20:19.069553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1312.6654","last_updated":"2014-11-03T15:22:41Z","snapshot_observed_at":"2026-08-14T23:50:30.373309Z","submitted_at":"2013-12-23T19:40:40Z","title":"Matrix product states for gauge field theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.6654","snapshot_observed_at":"2026-08-11T22:20:19.073324Z","title":"Buyens, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.073324Z"},"links":{"cited_paper":"/paper/1312.6654","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:eb6de7a561861e507185ac62ab562e0b71897e5494b3f25d2729f174d9a8cbfc","observation_id":"25985001-560a-42cf-a539-74c60d27c27d","resolution":{"observed_at":"2026-08-11T22:20:19.073324Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1403.0642","last_updated":"2014-03-04T00:39:24Z","snapshot_observed_at":"2026-08-14T23:42:35.852727Z","submitted_at":"2014-03-04T00:39:24Z","title":"Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.0642","snapshot_observed_at":"2026-08-11T22:20:19.077563Z","title":"Shimizu and Y","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.077563Z"},"links":{"cited_paper":"/paper/1403.0642","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:e4c313e28a820685c3b42df509ed0a82481329c3da5e929d3ad2c71d1a8f0634","observation_id":"682f6e7e-4fb0-4012-9b62-1eaf8f972d68","resolution":{"observed_at":"2026-08-11T22:20:19.077563Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.0897","last_updated":"2014-08-05T09:25:06Z","snapshot_observed_at":"2026-08-14T23:24:13.237828Z","submitted_at":"2014-08-05T09:25:06Z","title":"Critical behavior of lattice Schwinger model with topological term at $\\theta=\\pi$ using Grassmann tensor renormalization group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.0897","snapshot_observed_at":"2026-08-11T22:20:19.081775Z","title":"Shimizu and Y","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.081775Z"},"links":{"cited_paper":"/paper/1408.0897","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:f6aecc5801fb3775c348f61f17291275cbc907702b81f3b236651446d200398d","observation_id":"574e47e7-7761-41e4-b105-4513717d3a10","resolution":{"observed_at":"2026-08-11T22:20:19.081775Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1505.00279","last_updated":"2015-05-01T20:47:05Z","snapshot_observed_at":"2026-08-14T22:50:09.308896Z","submitted_at":"2015-05-01T20:47:05Z","title":"Thermal evolution of the Schwinger model with Matrix Product Operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1505.00279","snapshot_observed_at":"2026-08-11T22:20:19.085673Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.085673Z"},"links":{"cited_paper":"/paper/1505.00279","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:1f69b530d16cc2881a6288a408b5eb5f90d7d41767db2b799f2d46900cf24c6c","observation_id":"e28a7640-0f4a-480f-8da3-1d8d52c624fc","resolution":{"observed_at":"2026-08-11T22:20:19.085673Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.00246","last_updated":"2016-11-24T15:30:29Z","snapshot_observed_at":"2026-08-14T22:34:19.574343Z","submitted_at":"2015-09-01T12:11:10Z","title":"Confinement and string breaking for QED$_2$ in the Hamiltonian picture","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.00246","snapshot_observed_at":"2026-08-11T22:20:19.089827Z","title":"Buyens, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.089827Z"},"links":{"cited_paper":"/paper/1509.00246","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:ca7dfd8ba1e0f1c3b92450082364bff0a32ae0448ac3bc3c2395cd7327488866","observation_id":"7b30dbb3-3485-4d7f-aa01-c80d22c458ae","resolution":{"observed_at":"2026-08-11T22:20:19.089827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1603.05002","last_updated":"2016-03-16T09:35:42Z","snapshot_observed_at":"2026-08-14T22:05:49.735188Z","submitted_at":"2016-03-16T09:35:42Z","title":"Chiral condensate in the Schwinger model with Matrix Product Operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.05002","snapshot_observed_at":"2026-08-11T22:20:19.094126Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.094126Z"},"links":{"cited_paper":"/paper/1603.05002","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:ad82b5cb738a22482402cd97d8071683378a869cdda497f9d017b106773f6597","observation_id":"2582d107-bb5e-4a74-ab1f-b5271ed436b6","resolution":{"observed_at":"2026-08-11T22:20:19.094126Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1702.08838","last_updated":"2017-02-28T16:12:55Z","snapshot_observed_at":"2026-08-14T21:14:17.807484Z","submitted_at":"2017-02-28T16:12:55Z","title":"Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1702.08838","snapshot_observed_at":"2026-08-11T22:20:19.098053Z","title":"Buyens, S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.098053Z"},"links":{"cited_paper":"/paper/1702.08838","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:b28b75d690f81ea471bfc0cf243f1411b448de6c4aedcd480978b60f20635c38","observation_id":"ed644473-64aa-4d69-aa13-c924e95de01d","resolution":{"observed_at":"2026-08-11T22:20:19.098053Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.11047","last_updated":"2018-10-05T15:18:51Z","snapshot_observed_at":"2026-08-14T20:57:02.119237Z","submitted_at":"2017-05-31T11:57:23Z","title":"Phase Transitions in $Z_{n}$ Gauge Models: Towards Quantum Simulations of the Schwinger-Weyl QED","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.11047","snapshot_observed_at":"2026-08-11T22:20:19.102021Z","title":"Ercolessi, P","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.102021Z"},"links":{"cited_paper":"/paper/1705.11047","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:d3f67088bd3ef522b9f38b5a997cd11d14686a36fbacd41a574451b3b2928f1f","observation_id":"65f45c32-7fbe-455e-8dc1-73bb81b65011","resolution":{"observed_at":"2026-08-11T22:20:19.102021Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.00551","last_updated":"2020-03-12T17:01:10Z","snapshot_observed_at":"2026-08-14T15:45:38.861723Z","submitted_at":"2019-08-01T18:00:02Z","title":"Topological vacuum structure of the Schwinger model with matrix product states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.00551","snapshot_observed_at":"2026-08-11T22:20:19.105976Z","title":"Funcke, K","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.105976Z"},"links":{"cited_paper":"/paper/1908.00551","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:52dda92eba7f3edd56b0db12745011772c28e34494f85e277f6b7de7af1f84e6","observation_id":"9cbe13c7-85c3-42a4-95e5-99078471cce1","resolution":{"observed_at":"2026-08-11T22:20:19.105976Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.04821","last_updated":"2020-06-08T03:05:10Z","snapshot_observed_at":"2026-08-15T09:45:30.226621Z","submitted_at":"2019-09-11T02:19:13Z","title":"Real Time Dynamics and Confinement in the $\\mathbb{Z}_{n}$ Schwinger-Weyl lattice model for 1+1 QED","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.04821","snapshot_observed_at":"2026-08-11T22:20:19.109960Z","title":"Magnifico, M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.109960Z"},"links":{"cited_paper":"/paper/1909.04821","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:166f98ee0d6529e4bf91d91e3ed463cfd6a1db21e1f89957b5fe462005180736","observation_id":"477f9401-f9b8-4453-9cd4-5c28889a73a0","resolution":{"observed_at":"2026-08-11T22:20:19.109960Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.00297","last_updated":"2023-03-22T07:44:56Z","snapshot_observed_at":"2026-08-13T14:14:50.574790Z","submitted_at":"2022-10-01T15:33:06Z","title":"Schwinger model on an interval: analytic results and DMRG","version":2},"cited_work":{"arxiv_id":"2210.00297","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.00297","snapshot_observed_at":"2026-08-11T22:20:19.923328Z","title":"Schwinger model on an interval: analytic results and DMRG","venue":"hep-lat","work_id":"c94b40fe-606d-4c17-8031-5eeba5051cf0","year":2022},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.114220Z"},"links":{"cited_paper":"/paper/2210.00297","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:7a5b76e6ed22b7b9418745f0fdb6f753306b958483e9a431805f7a8225f36a59","observation_id":"6aad5233-02a1-4121-bf50-d858773607f3","resolution":{"observed_at":"2026-08-11T22:20:19.927440Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.04237","last_updated":"2022-10-09T12:06:01Z","snapshot_observed_at":"2026-08-13T16:12:22.259728Z","submitted_at":"2022-10-09T12:06:01Z","title":"DMRG study of the higher-charge Schwinger model and its 't Hooft anomaly","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.04237","snapshot_observed_at":"2026-08-11T22:20:19.118284Z","title":"Honda, E","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.118284Z"},"links":{"cited_paper":"/paper/2210.04237","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:5407b83206270fd591fdaa70100fb4725e8f5bdc640e6f2ad644dfd0034615fe","observation_id":"da847690-45f6-4b6f-bbf7-355e4f2a651d","resolution":{"observed_at":"2026-08-11T22:20:19.118284Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.11016","last_updated":"2023-10-18T08:37:01Z","snapshot_observed_at":"2026-08-13T12:20:51.356092Z","submitted_at":"2023-03-20T10:50:14Z","title":"Computing the Mass Shift of Wilson and Staggered Fermions in the Lattice Schwinger Model with Matrix Product States","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.11016","snapshot_observed_at":"2026-08-11T22:20:19.122489Z","title":"Angelides, L","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.122489Z"},"links":{"cited_paper":"/paper/2303.11016","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:3648532ea9fdfc1c59534f3930aa2abd92018362bd835a232079c47e93a1d037","observation_id":"f45b978e-7385-4682-bb2e-172709cee26f","resolution":{"observed_at":"2026-08-11T22:20:19.122489Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1605.04570","last_updated":"2016-05-15T15:57:31Z","snapshot_observed_at":"2026-08-14T21:57:19.178614Z","submitted_at":"2016-05-15T15:57:31Z","title":"Real-time dynamics of lattice gauge theories with a few-qubit quantum computer","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.04570","snapshot_observed_at":"2026-08-11T22:20:19.126227Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.126227Z"},"links":{"cited_paper":"/paper/1605.04570","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:064ee3a20f685278e188ef5df97bcdeaaf31dc86be520e1f5f1ce2e02a803f87","observation_id":"7bf6ce61-1055-4f57-b98b-5b066d25a943","resolution":{"observed_at":"2026-08-11T22:20:19.126227Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.08653","last_updated":"2016-12-27T15:13:19Z","snapshot_observed_at":"2026-08-14T21:23:35.067407Z","submitted_at":"2016-12-27T15:13:19Z","title":"U(1) Wilson lattice gauge theories in digital quantum simulators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.08653","snapshot_observed_at":"2026-08-11T22:20:19.129873Z","title":"Muschik, M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.129873Z"},"links":{"cited_paper":"/paper/1612.08653","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:06273e1373ac71d1edf01cc82fa3f5b9a000040ddab9489c39fd3973a25c95bc","observation_id":"97c5a9b3-d6f8-434c-8099-4304d4794964","resolution":{"observed_at":"2026-08-11T22:20:19.129873Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.03326","last_updated":"2018-10-02T21:11:32Z","snapshot_observed_at":"2026-08-14T19:37:59.841008Z","submitted_at":"2018-03-08T22:32:53Z","title":"Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.03326","snapshot_observed_at":"2026-08-11T22:20:19.133629Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.133629Z"},"links":{"cited_paper":"/paper/1803.03326","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:7444c0c0990049d4ac4232d5dfd39fee4cdef313b53294f93c3bdd2782a5f76d","observation_id":"dd70d2fb-7fb6-4cc3-9853-c06197c72805","resolution":{"observed_at":"2026-08-11T22:20:19.133629Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.03421","last_updated":"2019-04-26T07:05:55Z","snapshot_observed_at":"2026-08-14T18:18:02.088236Z","submitted_at":"2018-10-08T13:14:16Z","title":"Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.03421","snapshot_observed_at":"2026-08-11T22:20:19.137322Z","title":"Kokail et al., Self-verifying variational quantum simulation of lattice models , Nature 569 (2019) 355 [1810.03421]","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.137322Z"},"links":{"cited_paper":"/paper/1810.03421","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:b92f4bbef29b7aad1ff63f52470783fb49edae3ee5ba5fe44d70ae9b611ecc07","observation_id":"cb9a925b-fde6-4c44-96b3-76b69612f2d0","resolution":{"observed_at":"2026-08-11T22:20:19.137322Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1902.09551","last_updated":"2019-09-27T14:19:18Z","snapshot_observed_at":"2026-08-14T17:11:30.034788Z","submitted_at":"2019-02-25T19:00:01Z","title":"Lattice gauge theories and string dynamics in Rydberg atom quantum simulators","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.09551","snapshot_observed_at":"2026-08-11T22:20:19.141821Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.141821Z"},"links":{"cited_paper":"/paper/1902.09551","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:98429ba6802f2e8f781083f3ad5469547f1d189169cf67a80f6b1f13ee8d6e71","observation_id":"0d79f9ce-aa08-4ca2-9f82-124fad0f8082","resolution":{"observed_at":"2026-08-11T22:20:19.141821Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.00485","last_updated":"2022-04-22T15:01:53Z","snapshot_observed_at":"2026-07-06T08:48:10.648113Z","submitted_at":"2020-01-02T15:18:07Z","title":"Classically Emulated Digital Quantum Simulation of the Schwinger Model with Topological Term via Adiabatic State Preparation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.00485","snapshot_observed_at":"2026-08-11T22:20:19.146293Z","title":"Chakraborty, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.146293Z"},"links":{"cited_paper":"/paper/2001.00485","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:f843c37a84efb4d681f61b0b651ff222cd11031b81e4f80df6d3ccf592f8f9d1","observation_id":"67a32ad0-17a0-4375-be04-708da60d27c8","resolution":{"observed_at":"2026-08-11T22:20:19.146293Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.00698","last_updated":"2020-06-16T15:26:10Z","snapshot_observed_at":"2026-08-14T21:46:50.264683Z","submitted_at":"2020-01-03T02:34:31Z","title":"Real-time chiral dynamics from a digital quantum simulation","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.00698","snapshot_observed_at":"2026-08-11T22:20:19.150464Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.150464Z"},"links":{"cited_paper":"/paper/2001.00698","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:110d27cbf2a65d068a0eb88392c45ad56a182b58c3ec244459e1e13bf3ea44fc","observation_id":"1e0e55d9-2e01-457e-825c-cea5e5a73e80","resolution":{"observed_at":"2026-08-11T22:20:19.150464Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.03308","last_updated":"2022-08-10T19:13:04Z","snapshot_observed_at":"2026-08-14T02:05:48.075793Z","submitted_at":"2021-09-07T20:01:22Z","title":"Hybridized Methods for Quantum Simulation in the Interaction Picture","version":3},"cited_work":{"arxiv_id":"2109.03308","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.03308","snapshot_observed_at":"2026-08-11T22:20:19.816556Z","title":"Hybridized Methods for Quantum Simulation in the Interaction Picture","venue":"quant-ph","work_id":"6db294f2-4d20-419f-9c78-9e2027cad49b","year":2021},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.154562Z"},"links":{"cited_paper":"/paper/2109.03308","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:8b562e2465738fb16940ae9dcc50ff61b327b68c2bcfdbb00c50710129c6650d","observation_id":"2f9e5902-9ab3-4e33-8b7e-ebb0f8e423f1","resolution":{"observed_at":"2026-08-11T22:20:19.820712Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.13046","last_updated":"2021-10-25T15:36:23Z","snapshot_observed_at":"2026-08-13T17:46:54.265092Z","submitted_at":"2021-10-25T15:36:23Z","title":"Quantum Computation of Phase Transition in the Massive Schwinger Model","version":1},"cited_work":{"arxiv_id":"2110.13046","doi":null,"metadata_source":"pith","pith_arxiv_id":"2110.13046","snapshot_observed_at":"2026-08-11T22:20:19.800032Z","title":"Quantum Computation of Phase Transition in the Massive Schwinger Model","venue":"quant-ph","work_id":"5456bf5b-2abc-4e6a-9a7e-8e3aac1985af","year":2021},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.158759Z"},"links":{"cited_paper":"/paper/2110.13046","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:5b6577e647c5d461f90b12955fadc564acc927afeeff8d1d19f6b0bc0edb7893","observation_id":"185ab0ac-d688-482e-9262-b37d21f28cf9","resolution":{"observed_at":"2026-08-11T22:20:19.804488Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.10669","last_updated":"2021-07-12T21:16:01Z","snapshot_observed_at":"2026-08-14T18:03:00.651266Z","submitted_at":"2021-04-21T17:49:32Z","title":"Quantum variational approach to lattice gauge theory at nonzero density","version":2},"cited_work":{"arxiv_id":"2104.10669","doi":null,"metadata_source":"pith","pith_arxiv_id":"2104.10669","snapshot_observed_at":"2026-08-11T22:20:19.784015Z","title":"Quantum variational approach to lattice gauge theory at nonzero density","venue":"hep-lat","work_id":"ed507200-9ff3-451d-874b-3207d59aee6f","year":2021},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.162675Z"},"links":{"cited_paper":"/paper/2104.10669","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:cf290379bd7a36e66928be7077b2dcc8a3624b0382a154d47e24c41f93b87f94","observation_id":"33ec8824-edd6-4459-a13a-5623e48fa7a8","resolution":{"observed_at":"2026-08-11T22:20:19.788657Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.14105","last_updated":"2021-11-02T02:09:28Z","snapshot_observed_at":"2026-08-13T17:45:12.462994Z","submitted_at":"2021-10-27T00:51:02Z","title":"Negative string tension of higher-charge Schwinger model via digital quantum simulation","version":2},"cited_work":{"arxiv_id":"2110.14105","doi":null,"metadata_source":"pith","pith_arxiv_id":"2110.14105","snapshot_observed_at":"2026-08-11T22:20:19.767094Z","title":"Negative string tension of higher-charge Schwinger model via digital quantum simulation","venue":"hep-th","work_id":"d8788850-3866-416c-8462-56f815ec83dd","year":2021},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.166758Z"},"links":{"cited_paper":"/paper/2110.14105","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:6df0586d8f3c1113aad618caeadeb55535dc2bda8d51db4a6ee0f243451fa804","observation_id":"de00ca85-4d59-45c4-b622-b711bb10009d","resolution":{"observed_at":"2026-08-11T22:20:19.771674Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.08394","last_updated":"2022-09-15T21:52:08Z","snapshot_observed_at":"2026-08-13T19:03:13.755463Z","submitted_at":"2021-06-15T19:48:05Z","title":"Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.08394","snapshot_observed_at":"2026-08-11T22:20:19.170674Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.170674Z"},"links":{"cited_paper":"/paper/2106.08394","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:bfcec58214de1b39f2dd6c885f76bd193becd29c496a5f72f157e61425d8297b","observation_id":"0d552599-168a-47a9-81d3-5381e31994d0","resolution":{"observed_at":"2026-08-11T22:20:19.170674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.03276","last_updated":"2022-01-11T05:27:41Z","snapshot_observed_at":"2026-08-15T12:47:59.087138Z","submitted_at":"2021-05-07T14:09:32Z","title":"Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.03276","snapshot_observed_at":"2026-08-11T22:20:19.174801Z","title":"Honda, E","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.174801Z"},"links":{"cited_paper":"/paper/2105.03276","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:a7152f29d46ed52aa387a1477cd01ee900f3d9af061233ad69c372937ccf82f5","observation_id":"ed1b41a9-2841-4b36-96e8-e1d573b75ea6","resolution":{"observed_at":"2026-08-11T22:20:19.174801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.05186","last_updated":"2022-11-18T16:49:18Z","snapshot_observed_at":"2026-08-13T17:18:32.874743Z","submitted_at":"2021-12-09T19:29:34Z","title":"Quantum Error Correction with Gauge Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.05186","snapshot_observed_at":"2026-08-11T22:20:19.178962Z","title":"Rajput, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.178962Z"},"links":{"cited_paper":"/paper/2112.05186","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:49f18fac6262015e529ac5007a057289db53d8210e9e654d6ef1493a8e288e11","observation_id":"69897da5-069f-4727-853f-d01b58126c09","resolution":{"observed_at":"2026-08-11T22:20:19.178962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.14262","last_updated":"2022-04-12T16:44:24Z","snapshot_observed_at":"2026-08-15T12:55:38.781719Z","submitted_at":"2021-12-28T19:00:01Z","title":"Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.14262","snapshot_observed_at":"2026-08-11T22:20:19.182989Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.182989Z"},"links":{"cited_paper":"/paper/2112.14262","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:63ad749b7ab75b112fcd75fc1736aefa2e8ffad8cbbf0f122adaffd499ee453f","observation_id":"08db561a-0ec6-4311-b2c9-2792e850ec22","resolution":{"observed_at":"2026-08-11T22:20:19.182989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.06586","last_updated":"2022-04-13T18:03:02Z","snapshot_observed_at":"2026-08-13T16:02:47.698584Z","submitted_at":"2022-04-13T18:03:02Z","title":"Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.06586","snapshot_observed_at":"2026-08-11T22:20:19.186944Z","title":"Cheng, S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.186944Z"},"links":{"cited_paper":"/paper/2204.06586","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:da3eec706fbc4a9d8be7986a552c037971392c1c4cdbcadb10d4e164d17c2567","observation_id":"7fba76d9-fe16-422e-85ef-314238fde725","resolution":{"observed_at":"2026-08-11T22:20:19.186944Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.08860","last_updated":"2022-05-18T10:47:28Z","snapshot_observed_at":"2026-08-13T15:42:07.802454Z","submitted_at":"2022-05-18T10:47:28Z","title":"Schwinger model at finite temperature and density with beta VQE","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.08860","snapshot_observed_at":"2026-08-11T22:20:19.190824Z","title":"Tomiya, Schwinger model at finite temperature and density with beta VQE , 2205.08860","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.190824Z"},"links":{"cited_paper":"/paper/2205.08860","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:662ae50863c0aeb1fd894f320ded7a96a99f37615af434c937350d0d49ff7ee2","observation_id":"c27856a0-6efa-4b56-b792-f041753e4f34","resolution":{"observed_at":"2026-08-11T22:20:19.190824Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.10933","last_updated":"2023-02-21T19:00:01Z","snapshot_observed_at":"2026-08-13T12:40:00.064650Z","submitted_at":"2023-02-21T19:00:01Z","title":"Quench dynamics of the Schwinger model via variational quantum algorithms","version":1},"cited_work":{"arxiv_id":"2302.10933","doi":null,"metadata_source":"pith","pith_arxiv_id":"2302.10933","snapshot_observed_at":"2026-08-11T22:20:19.690366Z","title":"Quench dynamics of the Schwinger model via variational quantum algorithms","venue":"hep-ph","work_id":"2f2d77bb-6fd3-4567-b576-8176e0cee4bf","year":2023},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.194958Z"},"links":{"cited_paper":"/paper/2302.10933","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:54baa90a6c02e8ae5f3b16a68631a1990724e95823ac9088dcd9c34c473d2b3d","observation_id":"48253283-7684-420f-8f85-01a7ab75d3a2","resolution":{"observed_at":"2026-08-11T22:20:19.694579Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.00996","last_updated":"2023-05-01T18:00:01Z","snapshot_observed_at":"2026-08-13T11:51:52.968473Z","submitted_at":"2023-05-01T18:00:01Z","title":"Detecting the critical point through entanglement in Schwinger model","version":1},"cited_work":{"arxiv_id":"2305.00996","doi":null,"metadata_source":"pith","pith_arxiv_id":"2305.00996","snapshot_observed_at":"2026-08-11T22:20:19.675411Z","title":"Detecting the critical point through entanglement in Schwinger model","venue":"hep-ph","work_id":"76d61dc3-69b2-4806-be59-02b3c7e060b2","year":2023},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.198899Z"},"links":{"cited_paper":"/paper/2305.00996","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:e3b41935b6c6efe3081c5011840ee75294c968c237df660e0564cd9872841d97","observation_id":"0bfd4b02-beb5-4b7c-bb7d-a9236aca574e","resolution":{"observed_at":"2026-08-11T22:20:19.679554Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.17388","last_updated":"2024-09-09T06:59:19Z","snapshot_observed_at":"2026-08-13T05:14:47.984759Z","submitted_at":"2023-11-29T06:36:11Z","title":"End-to-end complexity for simulating the Schwinger model on quantum computers","version":3},"cited_work":{"arxiv_id":"2311.17388","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.17388","snapshot_observed_at":"2026-08-11T22:20:19.659651Z","title":"End-to-end complexity for simulating the Schwinger model on quantum computers","venue":"quant-ph","work_id":"24991534-7919-4d09-b8d2-5ed49bae26c6","year":2023},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.202555Z"},"links":{"cited_paper":"/paper/2311.17388","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:f926cceb022c3dcd27c36ab4102a16b2e6cbf0d401de3b9cbb14428ecf8ffb35","observation_id":"dcc6ee01-ef3a-4c74-b0de-7167b5d35660","resolution":{"observed_at":"2026-08-11T22:20:19.663347Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.04481","last_updated":"2024-04-22T17:49:55Z","snapshot_observed_at":"2026-08-15T03:38:22.667215Z","submitted_at":"2023-08-08T18:00:00Z","title":"Scalable Circuits for Preparing Ground States on Digital Quantum Computers: The Schwinger Model Vacuum on 100 Qubits","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.04481","snapshot_observed_at":"2026-08-11T22:20:19.206043Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.206043Z"},"links":{"cited_paper":"/paper/2308.04481","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:6b9dbd67d73ca725c7e37f5cfe475cae44b4fb5ea145dded10966d9c3aac4d75","observation_id":"11bd54fe-99ac-416a-98f5-b3099f8ba397","resolution":{"observed_at":"2026-08-11T22:20:19.206043Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.08044","last_updated":"2024-06-11T13:54:24Z","snapshot_observed_at":"2026-08-13T04:42:23.000567Z","submitted_at":"2024-01-16T01:51:19Z","title":"Quantum Simulations of Hadron Dynamics in the Schwinger Model using 112 Qubits","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.08044","snapshot_observed_at":"2026-08-11T22:20:19.209834Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.209834Z"},"links":{"cited_paper":"/paper/2401.08044","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:ee4b8ae7f8034062285e6742c8dbf3d62d59efa29d2299059a991004133ae0d2","observation_id":"20b71bfe-5bec-440c-8833-71cade6ea5e3","resolution":{"observed_at":"2026-08-11T22:20:19.209834Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.14788","last_updated":"2024-04-23T06:54:41Z","snapshot_observed_at":"2026-08-13T14:18:31.771223Z","submitted_at":"2024-04-23T06:54:41Z","title":"Digital Quantum Simulation for Spectroscopy of Schwinger Model","version":1},"cited_work":{"arxiv_id":"2404.14788","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.14788","snapshot_observed_at":"2026-08-11T22:20:19.619740Z","title":"Digital Quantum Simulation for Spectroscopy of Schwinger Model","venue":"hep-lat","work_id":"8f4e241f-7b52-44ca-939f-ed7285b3380b","year":2024},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.213700Z"},"links":{"cited_paper":"/paper/2404.14788","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:56601e2c96ecc326e28298fa73dfcc7aadf10aa19bc137ab0b5aefc2c9a0a58d","observation_id":"cfa5cfca-6d12-4c07-a9f2-6f94ae354e08","resolution":{"observed_at":"2026-08-11T22:20:19.625860Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.09224","last_updated":"2024-12-10T13:11:41Z","snapshot_observed_at":"2026-08-12T23:23:30.494834Z","submitted_at":"2024-07-12T12:44:49Z","title":"Phase Diagram of the Schwinger Model by Adiabatic Preparation of States on a Quantum Simulator","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.09224","snapshot_observed_at":"2026-08-11T22:20:19.217659Z","title":"Kaikov, T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.217659Z"},"links":{"cited_paper":"/paper/2407.09224","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:e0b65cdf37281360041ef1d2e0457b000d4679e0c92b1bac3698448e86a56295","observation_id":"94454598-18ad-430e-b101-14a28b835286","resolution":{"observed_at":"2026-08-11T22:20:19.217659Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.15629","last_updated":"2024-07-22T13:42:02Z","snapshot_observed_at":"2026-08-13T14:58:02.121274Z","submitted_at":"2024-07-22T13:42:02Z","title":"Concurrent VQE for Simulating Excited States of the Schwinger Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.15629","snapshot_observed_at":"2026-08-11T22:20:19.221849Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.221849Z"},"links":{"cited_paper":"/paper/2407.15629","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:0766f74725edc6bd5d5177077e21130a3ade2d80be1105981b7758506eaa2894","observation_id":"5342cd4d-d8d9-4997-92ac-d2524d43db4e","resolution":{"observed_at":"2026-08-11T22:20:19.221849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.17556","last_updated":"2025-01-27T16:16:03Z","snapshot_observed_at":"2026-08-14T13:40:22.861814Z","submitted_at":"2024-07-24T18:00:02Z","title":"State preparation of lattice field theories using quantum optimal control","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.17556","snapshot_observed_at":"2026-08-11T22:20:19.225817Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.225817Z"},"links":{"cited_paper":"/paper/2407.17556","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:13c6724275f2625263018502804170396f6c24e66c6cec95aedd18a99bc41b28","observation_id":"5aa5edee-1cfd-4f80-8044-5d49cddbd23d","resolution":{"observed_at":"2026-08-11T22:20:19.225817Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.13510","last_updated":"2024-09-20T13:51:48Z","snapshot_observed_at":"2026-08-12T22:40:59.133198Z","submitted_at":"2024-09-20T13:51:48Z","title":"Simulating the Schwinger Model with a Regularized Variational Quantum Imaginary Time Evolution","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.13510","snapshot_observed_at":"2026-08-11T22:20:19.229862Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.229862Z"},"links":{"cited_paper":"/paper/2409.13510","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:34360be3d99f49e2f9ff6303684b036c2102cd0d797b75902e5d43d367b9eb25","observation_id":"1cfdb1fd-d160-4c97-b8aa-8f389444105b","resolution":{"observed_at":"2026-08-11T22:20:19.229862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1008.3477","last_updated":"2011-01-03T17:31:29Z","snapshot_observed_at":"2026-08-15T05:10:49.375575Z","submitted_at":"2010-08-20T11:49:19Z","title":"The density-matrix renormalization group in the age of matrix product states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1008.3477","snapshot_observed_at":"2026-08-11T22:20:19.233825Z","title":"Schollw¨ ock,The density-matrix renormalization group in the age of matrix product states , Annals of Physics 326 (2011) 96 [ 1008.3477]","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.233825Z"},"links":{"cited_paper":"/paper/1008.3477","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:9854308ca9544e980ea722d1dc9bd8fc23a218f0824e9fd36deb87ff1b100214","observation_id":"0fb985e8-5951-403f-87bb-c4d075b1d045","resolution":{"observed_at":"2026-08-11T22:20:19.233825Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1701.07035","last_updated":"2019-04-19T15:36:01Z","snapshot_observed_at":"2026-08-14T21:19:41.817509Z","submitted_at":"2017-01-24T19:00:04Z","title":"Variational optimization algorithms for uniform matrix product states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1701.07035","snapshot_observed_at":"2026-08-11T22:20:19.237785Z","title":"Zauner-Stauber, L","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.237785Z"},"links":{"cited_paper":"/paper/1701.07035","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:31de69b763f2eb68a66d5b37f769a9b2d5648b494c8675f3039cf3323dc3380e","observation_id":"809c15f3-fb12-4791-9c8b-ebce0e8974ee","resolution":{"observed_at":"2026-08-11T22:20:19.237785Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.214045Z","title":null,"venue":null,"work_id":"a0bf0e59-054d-46fc-b427-c9882a36c2e4","year":1975},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.241873Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:3b29d1c5ea5fb5507d26f964576e52adf7404fa5e14a182d706243ad5564c5c1","observation_id":"c5e23734-a3fb-4dcd-9a75-793037c81ab4","resolution":{"observed_at":"2026-08-11T22:20:20.217264Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.203492Z","title":null,"venue":null,"work_id":"925afea2-d641-4b36-a9f0-47a0538d9abc","year":1992},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.245493Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:ee3e7cb8fe42b14439149cd2dba682e41e13749c7234bff07c144f80a8b470bb","observation_id":"29578ad8-dd6e-4f70-9d70-d820c2188418","resolution":{"observed_at":"2026-08-11T22:20:20.207151Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0804.2509","last_updated":"2008-04-16T19:02:06Z","snapshot_observed_at":"2026-08-15T10:17:26.225571Z","submitted_at":"2008-04-16T19:02:06Z","title":"Infinite size density matrix renormalization group, revisited","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0804.2509","snapshot_observed_at":"2026-08-11T22:20:19.249590Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.249590Z"},"links":{"cited_paper":"/paper/0804.2509","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:ca916ad671a8bf00d7d95ba6c65f34eb39c6fba339f160ab57b7819b6bd34c83","observation_id":"5145a9f9-9f90-4f0c-819d-fe9e790c51d0","resolution":{"observed_at":"2026-08-11T22:20:19.249590Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"cond-mat/0605597","last_updated":"2006-12-05T01:21:20Z","snapshot_observed_at":"2026-07-07T02:31:09.936358Z","submitted_at":"2006-05-24T13:01:29Z","title":"Classical simulation of infinite-size quantum lattice systems in one spatial dimension","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"cond-mat/0605597","snapshot_observed_at":"2026-08-11T22:20:19.254145Z","title":"Vidal, Classical simulation of infinite-size quantum lattice systems in one spatial dimension , Phys","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.254145Z"},"links":{"cited_paper":"/paper/cond-mat/0605597","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:1310003a7804b1991b4a044dc84ac9b1dc9afae8e509b0c3beeabedcbeb5ed71","observation_id":"1fb1e3ce-1af9-46ca-ac5b-35d5f80d71bd","resolution":{"observed_at":"2026-08-11T22:20:19.254145Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1103.0936","last_updated":"2011-05-26T14:58:34Z","snapshot_observed_at":"2026-08-15T04:53:03.718241Z","submitted_at":"2011-03-04T16:04:31Z","title":"Time-dependent variational principle for quantum lattices","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1103.0936","snapshot_observed_at":"2026-08-11T22:20:19.257973Z","title":"Haegeman, J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.257973Z"},"links":{"cited_paper":"/paper/1103.0936","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:c5cdf157247ad06ceec0edbc388e4431d4accfaffb2cd38ca86d893bdfc90dce","observation_id":"cb264a14-b948-435e-ba94-57b3f7cfb9d0","resolution":{"observed_at":"2026-08-11T22:20:19.257973Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.5056","last_updated":"2015-02-25T14:53:04Z","snapshot_observed_at":"2026-08-14T23:22:21.419380Z","submitted_at":"2014-08-21T16:34:14Z","title":"Unifying time evolution and optimization with matrix product states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.5056","snapshot_observed_at":"2026-08-11T22:20:19.262055Z","title":"Haegeman, C","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.262055Z"},"links":{"cited_paper":"/paper/1408.5056","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:894fe87610a50a91e67b5c7e82720d3fcf15779462c07d28a4cabf694e0e7337","observation_id":"7d5827b5-29c2-4b4f-8fe4-331211d89c82","resolution":{"observed_at":"2026-08-11T22:20:19.262055Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:19.265989Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.265989Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:12e0884702313201a60d6c7e19384050bbc80c23ccf141bc2dc41ccb2e792132","observation_id":"7d487df6-148b-413d-8951-bdccae7c7fa6","resolution":{"observed_at":"2026-08-11T22:20:19.265989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.186155Z","title":null,"venue":null,"work_id":"b5d3a2f0-49f3-42c1-95c1-19d78aff9ebe","year":1982},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.269755Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:4b52d78ef7958f0a6e5a1a0c21b1ec97a534a504edb9e3b871823e14f72fd81c","observation_id":"f188189a-b4ae-4364-9807-25593a11c6ef","resolution":{"observed_at":"2026-08-11T22:20:20.189661Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.08603","last_updated":"2019-07-19T17:54:29Z","snapshot_observed_at":"2026-08-15T20:39:00.557373Z","submitted_at":"2019-07-19T17:54:29Z","title":"A scaling hypothesis for matrix product states","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.08603","snapshot_observed_at":"2026-08-11T22:20:19.273561Z","title":"Vanhecke, J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.273561Z"},"links":{"cited_paper":"/paper/1907.08603","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:3778146edb34a5cfc1492c0c9f3ec55b715b49ccdf738b3abf2a0f1167a91947","observation_id":"4f9e6007-4520-44a2-bf87-546a62daf8d5","resolution":{"observed_at":"2026-08-11T22:20:19.273561Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.10564","last_updated":"2022-11-17T13:01:33Z","snapshot_observed_at":"2026-08-13T19:35:39.256156Z","submitted_at":"2021-04-21T14:43:12Z","title":"Entanglement scaling for $\\lambda\\phi_2^4$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.10564","snapshot_observed_at":"2026-08-11T22:20:19.277340Z","title":"Vanhecke, F","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.277340Z"},"links":{"cited_paper":"/paper/2104.10564","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:d099f168c801fec3b868613b372e5ddd777ecce4faa86f0177216d9c6ded37cb","observation_id":"ff7954de-6d97-4496-8dc8-f06b9c3b67cd","resolution":{"observed_at":"2026-08-11T22:20:19.277340Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.01902","last_updated":"2024-12-02T19:00:11Z","snapshot_observed_at":"2026-08-15T03:39:44.381251Z","submitted_at":"2024-12-02T19:00:11Z","title":"Precision study of the massive Schwinger model near quantum criticality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.01902","snapshot_observed_at":"2026-08-11T22:20:19.280563Z","title":"Arguello Cruz, G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.280563Z"},"links":{"cited_paper":"/paper/2412.01902","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:cd80e32037fe513da8f4d0534051fd6812b98251d1ed2d7b94e542c4a2b8cd8c","observation_id":"2b4e9c85-6ecf-4dd6-a62a-7b87d16bdfae","resolution":{"observed_at":"2026-08-11T22:20:19.280563Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.175300Z","title":"Banks, L","venue":null,"work_id":"3ca1eaed-ba1f-4c82-8981-03f978ab00c0","year":1976},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.283840Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:d8cd71d4cc25588efd601174a9adc101221803d2b37db867225fb5e2c23eb394","observation_id":"347d4cd9-f53a-4c58-952a-9b25199b7a36","resolution":{"observed_at":"2026-08-11T22:20:20.179074Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.164032Z","title":"Jordan and E","venue":null,"work_id":"2460a514-2933-4a6d-924d-dada4f79a4bc","year":1928},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.286749Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:3a57c40f7da128a384413589116b9608646aba4b1e88d6f5fd8d0738c4544c52","observation_id":"7f84d9e6-7a70-47d7-83ac-916b39bfd36e","resolution":{"observed_at":"2026-08-11T22:20:20.167913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.05308","last_updated":"2023-02-07T23:02:25Z","snapshot_observed_at":"2026-08-13T15:25:51.715136Z","submitted_at":"2022-06-10T18:09:27Z","title":"Discrete Chiral Symmetry and Mass Shift in Lattice Hamiltonian Approach to Schwinger Model","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.05308","snapshot_observed_at":"2026-08-11T22:20:19.290287Z","title":"Dempsey, I","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.290287Z"},"links":{"cited_paper":"/paper/2206.05308","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:b9bb3a772277f06fd1c4d0af352f12f0f6579e7a222e7083a5cee8d0a1fff058","observation_id":"af8799a3-f4a8-4fee-9e2f-70bfac525fe0","resolution":{"observed_at":"2026-08-11T22:20:19.290287Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9901142","last_updated":"2000-10-22T17:42:39Z","snapshot_observed_at":"2026-07-07T05:18:56.436532Z","submitted_at":"1999-01-27T15:58:32Z","title":"On the Correspondence Between the Strongly Coupled 2-Flavor Lattice Schwinger Model and the Heisenberg Antiferromagnetic Chain","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9901142","snapshot_observed_at":"2026-08-11T22:20:19.293643Z","title":"Berruto, G","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.293643Z"},"links":{"cited_paper":"/paper/hep-th/9901142","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:710b41abca062668b3b4b4a4588c66331c603601652cce3768a3efc5b0d382dc","observation_id":"096e9a20-c815-4360-a42c-fc7db03998a4","resolution":{"observed_at":"2026-08-11T22:20:19.293643Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.0020","last_updated":"2014-10-31T20:26:03Z","snapshot_observed_at":"2026-08-14T23:13:23.495951Z","submitted_at":"2014-10-31T20:26:03Z","title":"Matrix product states for Hamiltonian lattice gauge theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1411.0020","snapshot_observed_at":"2026-08-11T22:20:19.297330Z","title":"Van Acoleyen, B","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.297330Z"},"links":{"cited_paper":"/paper/1411.0020","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:6c798c09fbf66e402157e54d92816597d7a748a2e47f3626d7947e1419a0e0e4","observation_id":"174044d4-459d-4c6f-aad6-1bb30c47e53a","resolution":{"observed_at":"2026-08-11T22:20:19.297330Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.03385","last_updated":"2016-10-24T08:51:52Z","snapshot_observed_at":"2026-08-14T21:53:17.127118Z","submitted_at":"2016-06-10T16:15:25Z","title":"Hamiltonian simulation of the Schwinger model at finite temperature","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.03385","snapshot_observed_at":"2026-08-11T22:20:19.301271Z","title":"Buyens, F","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.301271Z"},"links":{"cited_paper":"/paper/1606.03385","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:a0b4ebfa60372ebe869f3f5a291ae4758383e25711f772ff495b279e9a434e9e","observation_id":"1a4ea6a5-d24a-4efc-a3b3-f9dc67159ffe","resolution":{"observed_at":"2026-08-11T22:20:19.301271Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.00739","last_updated":"2017-12-03T06:01:20Z","snapshot_observed_at":"2026-08-14T21:27:24.076414Z","submitted_at":"2016-12-02T16:33:14Z","title":"Real-time simulation of the Schwinger effect with Matrix Product States","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.00739","snapshot_observed_at":"2026-08-11T22:20:19.305095Z","title":"Buyens, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.305095Z"},"links":{"cited_paper":"/paper/1612.00739","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:f4b61ac846b8581558323228b71d3f1829c8604723872fe8caa1e3a4d4f75bf4","observation_id":"6a7f5fd2-e570-41ff-8638-4e8002d7ccfc","resolution":{"observed_at":"2026-08-11T22:20:19.305095Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.5140","last_updated":"2015-05-08T08:07:34Z","snapshot_observed_at":"2026-08-14T23:22:19.605626Z","submitted_at":"2014-08-21T20:00:21Z","title":"Transfer Matrices and Excitations with Matrix Product States","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.5140","snapshot_observed_at":"2026-08-11T22:20:19.309014Z","title":"Zauner, D","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.309014Z"},"links":{"cited_paper":"/paper/1408.5140","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:b577a8dddae47c9597286bc0aba113e7ae31153710fd4a2284db6ac38ca33512","observation_id":"af075110-21a3-4ad5-b80e-05b56d1fe8f8","resolution":{"observed_at":"2026-08-11T22:20:19.309014Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.152787Z","title":null,"venue":null,"work_id":"194d8d89-84aa-4198-8ce2-9cdd7af5b679","year":1914},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.313880Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:3b73a1850860f9208c0179134865fb184bf84226270fc58f618a3a18582cc5a5","observation_id":"89ac685d-58b5-41f0-b0dc-33a4203ab01b","resolution":{"observed_at":"2026-08-11T22:20:20.156662Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.141592Z","title":"Kennedy, Ornstein-zernike decay in the ground state of the quantum ising model in a strong transverse field , Communications in Mathematical Physics 137 (1991) 599","venue":null,"work_id":"c603ccbc-3ca9-4327-adc0-a2c510c8c6eb","year":1991},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.317613Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:33ea6619f8f99d714c69c2b5bce0a27408f7c6a9132c39c65ba63d5c7970573e","observation_id":"bca2f312-36b4-48ec-8518-b0546be12c09","resolution":{"observed_at":"2026-08-11T22:20:20.145426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.130009Z","title":null,"venue":null,"work_id":"ae7fee31-74a4-41c2-8542-0df653c777cb","year":1996},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.321050Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:aa04aab59aac3570adb05b56c500131f359a15977ca41697707cf9819df91a8f","observation_id":"b4a76ebb-8256-469d-87db-4912df9490c7","resolution":{"observed_at":"2026-08-11T22:20:20.133894Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.08554","last_updated":"2018-12-03T20:21:50Z","snapshot_observed_at":"2026-08-14T19:51:57.821619Z","submitted_at":"2018-01-25T19:00:54Z","title":"Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.08554","snapshot_observed_at":"2026-08-11T22:20:19.324774Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.324774Z"},"links":{"cited_paper":"/paper/1801.08554","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:23eb3c0222c1f737e2a9589f36bcde0cb60694301a592e2473b54bcfb3ea2c12","observation_id":"114b33fd-7df5-41a9-bfdc-270e764df6da","resolution":{"observed_at":"2026-08-11T22:20:19.324774Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.118267Z","title":null,"venue":null,"work_id":"e48685b7-04c7-4414-9957-d0504bbfc44e","year":2007},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.328419Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:9280b7830994338a23e6d1547272a6e106c03d6eb880dbcb62f7ea1d526255fa","observation_id":"c4769eb2-ef82-469c-8613-496a8fa5e3dc","resolution":{"observed_at":"2026-08-11T22:20:20.121991Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0405152","last_updated":"2008-10-02T13:27:00Z","snapshot_observed_at":"2026-08-06T00:52:59.585209Z","submitted_at":"2004-05-18T14:41:52Z","title":"Entanglement Entropy and Quantum Field Theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0405152","snapshot_observed_at":"2026-08-11T22:20:19.332788Z","title":"Calabrese and J","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.332788Z"},"links":{"cited_paper":"/paper/hep-th/0405152","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:cea613c8b999f8d94e49959028158c71eed6b4f446a5eac40df4b2b41428a6ab","observation_id":"4ad3b775-7022-486d-9064-3ba71bc94f7f","resolution":{"observed_at":"2026-08-11T22:20:19.332788Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.106608Z","title":"Gepner, Nonabelian Bosonization and Multiflavor QED and QCD in Two-dimensions , Nucl","venue":null,"work_id":"2b2ab7fa-7fe5-4323-b25d-90484f447faa","year":1985},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.336597Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:e23d48af56b577e5316f63658f6f7734fb4599eccba4376f9106925cf1dd87d8","observation_id":"0d3af0ab-a988-42d9-9869-e074215e63d9","resolution":{"observed_at":"2026-08-11T22:20:20.110972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:20:20.095533Z","title":"Affleck, On the Realization of Chiral Symmetry in (1+1)-dimensions, Nucl","venue":null,"work_id":"f208d8b4-a13d-443a-8549-2891e240b243","year":1986},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.340478Z"},"links":{"citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:55da5588d0b7f143548955cf085c40b9636a5a3a9f30f13c4c1c7029a2d58808","observation_id":"a5f1d9aa-00c9-4ac2-af7d-58f0c14bb0e2","resolution":{"observed_at":"2026-08-11T22:20:20.099399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.04437","last_updated":"2023-12-13T22:05:14Z","snapshot_observed_at":"2026-08-13T11:47:34.475490Z","submitted_at":"2023-05-08T03:17:48Z","title":"Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.04437","snapshot_observed_at":"2026-08-11T22:20:19.344212Z","title":"Dempsey, I","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.344212Z"},"links":{"cited_paper":"/paper/2305.04437","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:03c551b42502bf98b632f1d6cd21f9d11a6b454a68e2c7aff4f55531f791c2d8","observation_id":"e6a5a669-f71b-4b93-92ac-ba2088798625","resolution":{"observed_at":"2026-08-11T22:20:19.344212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09334","last_updated":"2024-04-30T22:58:29Z","snapshot_observed_at":"2026-08-13T05:24:27.560215Z","submitted_at":"2023-11-15T19:48:23Z","title":"Lattice Hamiltonian for Adjoint QCD$_2$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09334","snapshot_observed_at":"2026-08-11T22:20:19.348031Z","title":"Dempsey, I","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","version":3},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-11T22:20:19.348031Z"},"links":{"cited_paper":"/paper/2311.09334","citing_paper":"/paper/2412.03569"},"observation_digest":"sha256:cd0d08923fbda597b1adf695144b9b9600ef61e60faa0fdc014d91926352ef2b","observation_id":"5d0ece26-8618-4558-b483-efcd81e0ba3b","resolution":{"observed_at":"2026-08-11T22:20:19.348031Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.03569","last_updated":"2025-05-09T06:18:15Z","latest_version":3,"primary_category":"hep-lat","snapshot_observed_at":"2026-08-13T08:49:42.474466Z","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS"},"reference_resolution":{"displayed":85,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":68,"verified_exact":9,"verified_fuzzy":8},"total_outbound_references":85},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 85 of 85 outbound references and 6 inbound Pith citation observations for arXiv:2412.03569."}