{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:RCN6ULYARKU2LWB4XWCVGKE6RU","short_pith_number":"pith:RCN6ULYA","schema_version":"1.0","canonical_sha256":"889bea2f008aa9a5d83cbd8553289e8d35707d563f7e3ef373b8140ca65391d2","source":{"kind":"arxiv","id":"2107.11656","version":4},"attestation_state":"computed","paper":{"title":"Phase diagram of 1+1D Abelian-Higgs model and its critical point","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-lat","quant-ph"],"primary_cat":"hep-th","authors_text":"Jakub Zakrzewski, Luca Tagliacozzo, Maciej Lewenstein, Titas Chanda","submitted_at":"2021-07-24T17:15:55Z","abstract_excerpt":"We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidences for its description as the product of two non-interacting systems, a massless free fermion and a massless free boson. However, we find also some surprizing results that cannot be explained by our simple picture"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2107.11656","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-07-24T17:15:55Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-lat","quant-ph"],"title_canon_sha256":"d56f78bac56e892f987edf803e977f9e6ef129a2052a9e22e39d7c6b52b0b808","abstract_canon_sha256":"474ab04ca9a33d905abe0ddd932ef43d55fbbe6865b7c60877056049c55f8a0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:30:05.252049Z","signature_b64":"izjL2Of0VkibbLKeGXEbTm5/BKGTovNjfYsm5HgZK74aBsa7Gf4ohOfh91jfVH9s3lNMs0IyzeLw2lkqQ3kSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"889bea2f008aa9a5d83cbd8553289e8d35707d563f7e3ef373b8140ca65391d2","last_reissued_at":"2026-07-05T05:30:05.251561Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:30:05.251561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase diagram of 1+1D Abelian-Higgs model and its critical point","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-lat","quant-ph"],"primary_cat":"hep-th","authors_text":"Jakub Zakrzewski, Luca Tagliacozzo, Maciej Lewenstein, Titas Chanda","submitted_at":"2021-07-24T17:15:55Z","abstract_excerpt":"We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidences for its description as the product of two non-interacting systems, a massless free fermion and a massless free boson. However, we find also some surprizing results that cannot be explained by our simple picture"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.11656","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.11656/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2107.11656","created_at":"2026-07-05T05:30:05.251628+00:00"},{"alias_kind":"arxiv_version","alias_value":"2107.11656v4","created_at":"2026-07-05T05:30:05.251628+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.11656","created_at":"2026-07-05T05:30:05.251628+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCN6ULYARKU2","created_at":"2026-07-05T05:30:05.251628+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCN6ULYARKU2LWB4","created_at":"2026-07-05T05:30:05.251628+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCN6ULYA","created_at":"2026-07-05T05:30:05.251628+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RCN6ULYARKU2LWB4XWCVGKE6RU","json":"https://pith.science/pith/RCN6ULYARKU2LWB4XWCVGKE6RU.json","graph_json":"https://pith.science/api/pith-number/RCN6ULYARKU2LWB4XWCVGKE6RU/graph.json","events_json":"https://pith.science/api/pith-number/RCN6ULYARKU2LWB4XWCVGKE6RU/events.json","paper":"https://pith.science/paper/RCN6ULYA"},"agent_actions":{"view_html":"https://pith.science/pith/RCN6ULYARKU2LWB4XWCVGKE6RU","download_json":"https://pith.science/pith/RCN6ULYARKU2LWB4XWCVGKE6RU.json","view_paper":"https://pith.science/paper/RCN6ULYA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2107.11656&json=true","fetch_graph":"https://pith.science/api/pith-number/RCN6ULYARKU2LWB4XWCVGKE6RU/graph.json","fetch_events":"https://pith.science/api/pith-number/RCN6ULYARKU2LWB4XWCVGKE6RU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCN6ULYARKU2LWB4XWCVGKE6RU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCN6ULYARKU2LWB4XWCVGKE6RU/action/storage_attestation","attest_author":"https://pith.science/pith/RCN6ULYARKU2LWB4XWCVGKE6RU/action/author_attestation","sign_citation":"https://pith.science/pith/RCN6ULYARKU2LWB4XWCVGKE6RU/action/citation_signature","submit_replication":"https://pith.science/pith/RCN6ULYARKU2LWB4XWCVGKE6RU/action/replication_record"}},"created_at":"2026-07-05T05:30:05.251628+00:00","updated_at":"2026-07-05T05:30:05.251628+00:00"}