{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:XL7W5X6SVHVEDO4USXMJDBRMB3","short_pith_number":"pith:XL7W5X6S","canonical_record":{"source":{"id":"2412.03569","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T18:59:18Z","cross_cats_sorted":["cond-mat.str-el","hep-th","quant-ph"],"title_canon_sha256":"3e87efdb3a21c1a95f71d09bcbc82a636f18a62e81951d793979bd5134c38454","abstract_canon_sha256":"de9d4e1291136691d6d958b8f94cf1a43e31a4aad54d77e58b613fe9a43a35b5"},"schema_version":"1.0"},"canonical_sha256":"baff6edfd2a9ea41bb9495d891862c0ef9b26771fee3d21fbcb5f6692d86ca81","source":{"kind":"arxiv","id":"2412.03569","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.03569","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"arxiv_version","alias_value":"2412.03569v3","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.03569","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"pith_short_12","alias_value":"XL7W5X6SVHVE","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"pith_short_16","alias_value":"XL7W5X6SVHVEDO4U","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"pith_short_8","alias_value":"XL7W5X6S","created_at":"2026-07-05T11:00:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:XL7W5X6SVHVEDO4USXMJDBRMB3","target":"record","payload":{"canonical_record":{"source":{"id":"2412.03569","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T18:59:18Z","cross_cats_sorted":["cond-mat.str-el","hep-th","quant-ph"],"title_canon_sha256":"3e87efdb3a21c1a95f71d09bcbc82a636f18a62e81951d793979bd5134c38454","abstract_canon_sha256":"de9d4e1291136691d6d958b8f94cf1a43e31a4aad54d77e58b613fe9a43a35b5"},"schema_version":"1.0"},"canonical_sha256":"baff6edfd2a9ea41bb9495d891862c0ef9b26771fee3d21fbcb5f6692d86ca81","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:00:40.654909Z","signature_b64":"u+CCPdrydgbtf4lu6tmeYgJHcMTvr0TeA0ZQTAOjquP5V3+Ju3tNlXGa4hAQv+6ts2v4t0jC1Ckxsl3Vf7wwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"baff6edfd2a9ea41bb9495d891862c0ef9b26771fee3d21fbcb5f6692d86ca81","last_reissued_at":"2026-07-05T11:00:40.654232Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:00:40.654232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.03569","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:00:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1XNzq2iihIQtfgH8Z5Plxj68r7BQ/GHjXKcDwm/3d3COdskfSS4eS0+Z51s5LAvqfvvGMD+GD90/lgr/ZZoOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:33:28.445074Z"},"content_sha256":"4066a80a9e310870f844248445f2ec2dd5e13081d7fa8e3e9a8936d59adf7a02","schema_version":"1.0","event_id":"sha256:4066a80a9e310870f844248445f2ec2dd5e13081d7fa8e3e9a8936d59adf7a02"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:XL7W5X6SVHVEDO4USXMJDBRMB3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","quant-ph"],"primary_cat":"hep-lat","authors_text":"Hirotsugu Fujii, Juan W. Pedersen, Kohei Fujikura, Takuya Okuda, Yoshio Kikukawa","submitted_at":"2024-12-04T18:59:18Z","abstract_excerpt":"We study the lattice Schwinger model by combining the variational uniform matrix product state (VUMPS) algorithm with a gauge-invariant matrix product ansatz that locally enforces the Gauss law constraint. Both the continuum and lattice versions of the Schwinger model with $\\theta=\\pi$ are known to exhibit first-order phase transitions for the values of the fermion mass above a critical value, where a second-order phase transition occurs. Our algorithm enables a precise determination of the critical endpoint in the continuum theory. We further analyze the scaling in the simultaneous critical a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.03569","kind":"arxiv","version":3},"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/2412.03569/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:00:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cuGns1TxuKyVo/ffp9WXQ/7RYMW1q7Y1+QgsE8vJoz9W+Wk6ollGvF90adEUJx9B/pi+UmLzMpHQnLpLgiFJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:33:28.445542Z"},"content_sha256":"c640174ef8ef495dac5e5ad17ce25fcbe1f383836ddbd7e800cadd68f0a4a5ca","schema_version":"1.0","event_id":"sha256:c640174ef8ef495dac5e5ad17ce25fcbe1f383836ddbd7e800cadd68f0a4a5ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XL7W5X6SVHVEDO4USXMJDBRMB3/bundle.json","state_url":"https://pith.science/pith/XL7W5X6SVHVEDO4USXMJDBRMB3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XL7W5X6SVHVEDO4USXMJDBRMB3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T23:33:28Z","links":{"resolver":"https://pith.science/pith/XL7W5X6SVHVEDO4USXMJDBRMB3","bundle":"https://pith.science/pith/XL7W5X6SVHVEDO4USXMJDBRMB3/bundle.json","state":"https://pith.science/pith/XL7W5X6SVHVEDO4USXMJDBRMB3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XL7W5X6SVHVEDO4USXMJDBRMB3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XL7W5X6SVHVEDO4USXMJDBRMB3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"de9d4e1291136691d6d958b8f94cf1a43e31a4aad54d77e58b613fe9a43a35b5","cross_cats_sorted":["cond-mat.str-el","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T18:59:18Z","title_canon_sha256":"3e87efdb3a21c1a95f71d09bcbc82a636f18a62e81951d793979bd5134c38454"},"schema_version":"1.0","source":{"id":"2412.03569","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.03569","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"arxiv_version","alias_value":"2412.03569v3","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.03569","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"pith_short_12","alias_value":"XL7W5X6SVHVE","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"pith_short_16","alias_value":"XL7W5X6SVHVEDO4U","created_at":"2026-07-05T11:00:40Z"},{"alias_kind":"pith_short_8","alias_value":"XL7W5X6S","created_at":"2026-07-05T11:00:40Z"}],"graph_snapshots":[{"event_id":"sha256:c640174ef8ef495dac5e5ad17ce25fcbe1f383836ddbd7e800cadd68f0a4a5ca","target":"graph","created_at":"2026-07-05T11:00:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.03569/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the lattice Schwinger model by combining the variational uniform matrix product state (VUMPS) algorithm with a gauge-invariant matrix product ansatz that locally enforces the Gauss law constraint. Both the continuum and lattice versions of the Schwinger model with $\\theta=\\pi$ are known to exhibit first-order phase transitions for the values of the fermion mass above a critical value, where a second-order phase transition occurs. Our algorithm enables a precise determination of the critical endpoint in the continuum theory. We further analyze the scaling in the simultaneous critical a","authors_text":"Hirotsugu Fujii, Juan W. Pedersen, Kohei Fujikura, Takuya Okuda, Yoshio Kikukawa","cross_cats":["cond-mat.str-el","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T18:59:18Z","title":"Critical behavior of the Schwinger model via gauge-invariant VUMPS"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.03569","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4066a80a9e310870f844248445f2ec2dd5e13081d7fa8e3e9a8936d59adf7a02","target":"record","created_at":"2026-07-05T11:00:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"de9d4e1291136691d6d958b8f94cf1a43e31a4aad54d77e58b613fe9a43a35b5","cross_cats_sorted":["cond-mat.str-el","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T18:59:18Z","title_canon_sha256":"3e87efdb3a21c1a95f71d09bcbc82a636f18a62e81951d793979bd5134c38454"},"schema_version":"1.0","source":{"id":"2412.03569","kind":"arxiv","version":3}},"canonical_sha256":"baff6edfd2a9ea41bb9495d891862c0ef9b26771fee3d21fbcb5f6692d86ca81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"baff6edfd2a9ea41bb9495d891862c0ef9b26771fee3d21fbcb5f6692d86ca81","first_computed_at":"2026-07-05T11:00:40.654232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:00:40.654232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u+CCPdrydgbtf4lu6tmeYgJHcMTvr0TeA0ZQTAOjquP5V3+Ju3tNlXGa4hAQv+6ts2v4t0jC1Ckxsl3Vf7wwAg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:00:40.654909Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.03569","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4066a80a9e310870f844248445f2ec2dd5e13081d7fa8e3e9a8936d59adf7a02","sha256:c640174ef8ef495dac5e5ad17ce25fcbe1f383836ddbd7e800cadd68f0a4a5ca"],"state_sha256":"a3282a435b4bf3b6827ce367d94c6480c2cbbbb2496e775c56d67dee69a7cdf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ICBrrcvADuIwCB+8dKx9bD1WmEuDN4BY6tF7/Hi82A9tebFhYfjlWe5+To8igdGefeVg7Wn2/oWD640caO4UAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T23:33:28.448208Z","bundle_sha256":"c67af550ccb6d25ef08b3b48613a096d7355ec17f3995bcd02c235f6bfa49267"}}