{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:UL6V3U32SQG5AA3PN3THXPQ7RH","short_pith_number":"pith:UL6V3U32","canonical_record":{"source":{"id":"2104.03779","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2021-04-08T14:03:51Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"a6ea45730c2d1c78cf60a6a3740c2d9329c0c0a27bdc8815af883ccf3d15a34c","abstract_canon_sha256":"ea260e6a8d58c94164cc7767c3289bfa39b0f8bab4f90470fbc2f00db3ade5ed"},"schema_version":"1.0"},"canonical_sha256":"a2fd5dd37a940dd0036f6ee67bbe1f89c81f7dcaf1c284915481e7b414bd9e6e","source":{"kind":"arxiv","id":"2104.03779","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.03779","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"arxiv_version","alias_value":"2104.03779v2","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.03779","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"pith_short_12","alias_value":"UL6V3U32SQG5","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"pith_short_16","alias_value":"UL6V3U32SQG5AA3P","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"pith_short_8","alias_value":"UL6V3U32","created_at":"2026-07-05T03:19:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:UL6V3U32SQG5AA3PN3THXPQ7RH","target":"record","payload":{"canonical_record":{"source":{"id":"2104.03779","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2021-04-08T14:03:51Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"a6ea45730c2d1c78cf60a6a3740c2d9329c0c0a27bdc8815af883ccf3d15a34c","abstract_canon_sha256":"ea260e6a8d58c94164cc7767c3289bfa39b0f8bab4f90470fbc2f00db3ade5ed"},"schema_version":"1.0"},"canonical_sha256":"a2fd5dd37a940dd0036f6ee67bbe1f89c81f7dcaf1c284915481e7b414bd9e6e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:19:08.050252Z","signature_b64":"Au8ZRVWntZ1LaJ0d4jdudJiOeK+xkaCe6UlrMoqMgHDlvwsbRVwjGL9bCwR93TuSIBoNPWhsd+1e254Uo0CJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2fd5dd37a940dd0036f6ee67bbe1f89c81f7dcaf1c284915481e7b414bd9e6e","last_reissued_at":"2026-07-05T03:19:08.049840Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:19:08.049840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.03779","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:19:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CuD942J+YZcv/6i3qlrCuesIjGI1rSb+5ciCyh3j0fAOs0WEoPEA0yV2GZUZ2KTs+X5EICVuJ1c8u59BdByyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:19:56.774898Z"},"content_sha256":"23d4eaba5dd71862ca78b47e52bcbdeafea69d45e280239e8c59a8e27273cc65","schema_version":"1.0","event_id":"sha256:23d4eaba5dd71862ca78b47e52bcbdeafea69d45e280239e8c59a8e27273cc65"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:UL6V3U32SQG5AA3PN3THXPQ7RH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localization of Dirac modes in finite-temperature $\\mathbb{Z}_2$ gauge theory on the lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"hep-lat","authors_text":"Gy\\\"orgy Baranka, Matteo Giordano","submitted_at":"2021-04-08T14:03:51Z","abstract_excerpt":"We study the localization properties of the eigenmodes of the staggered Dirac operator in finite-temperature $\\mathbb{Z}_2$ pure gauge theory on the lattice in 2+1 dimensions. We find that the low modes turn from delocalized to localized as the system crosses over from the confined to the deconfined phase in the \"physical\" sector (positive average Polyakov loop) selected by external fermionic probes, while they remain delocalized in the \"unphysical\" sector (negative average Polyakov loop). This confirms that the close connection between deconfinement and localization of the low Dirac modes in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.03779","kind":"arxiv","version":2},"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/2104.03779/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":"2026-07-05T03:19:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RRSPLW+xsBcN82r1gwWBcZSupeJlWavoHB2uk9ZJvsYOsKhaJWlf+v8hYaiV/G1egY0zTsofQi/+Wl5QBchHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:19:56.775769Z"},"content_sha256":"f7fbc71b82f43e52d7a6fa7325147d379d534fd7f05220b5d901228a3390d9a9","schema_version":"1.0","event_id":"sha256:f7fbc71b82f43e52d7a6fa7325147d379d534fd7f05220b5d901228a3390d9a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UL6V3U32SQG5AA3PN3THXPQ7RH/bundle.json","state_url":"https://pith.science/pith/UL6V3U32SQG5AA3PN3THXPQ7RH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UL6V3U32SQG5AA3PN3THXPQ7RH/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":"2026-08-05T03:19:56Z","links":{"resolver":"https://pith.science/pith/UL6V3U32SQG5AA3PN3THXPQ7RH","bundle":"https://pith.science/pith/UL6V3U32SQG5AA3PN3THXPQ7RH/bundle.json","state":"https://pith.science/pith/UL6V3U32SQG5AA3PN3THXPQ7RH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UL6V3U32SQG5AA3PN3THXPQ7RH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:UL6V3U32SQG5AA3PN3THXPQ7RH","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":"ea260e6a8d58c94164cc7767c3289bfa39b0f8bab4f90470fbc2f00db3ade5ed","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2021-04-08T14:03:51Z","title_canon_sha256":"a6ea45730c2d1c78cf60a6a3740c2d9329c0c0a27bdc8815af883ccf3d15a34c"},"schema_version":"1.0","source":{"id":"2104.03779","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.03779","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"arxiv_version","alias_value":"2104.03779v2","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.03779","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"pith_short_12","alias_value":"UL6V3U32SQG5","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"pith_short_16","alias_value":"UL6V3U32SQG5AA3P","created_at":"2026-07-05T03:19:08Z"},{"alias_kind":"pith_short_8","alias_value":"UL6V3U32","created_at":"2026-07-05T03:19:08Z"}],"graph_snapshots":[{"event_id":"sha256:f7fbc71b82f43e52d7a6fa7325147d379d534fd7f05220b5d901228a3390d9a9","target":"graph","created_at":"2026-07-05T03:19:08Z","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/2104.03779/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the localization properties of the eigenmodes of the staggered Dirac operator in finite-temperature $\\mathbb{Z}_2$ pure gauge theory on the lattice in 2+1 dimensions. We find that the low modes turn from delocalized to localized as the system crosses over from the confined to the deconfined phase in the \"physical\" sector (positive average Polyakov loop) selected by external fermionic probes, while they remain delocalized in the \"unphysical\" sector (negative average Polyakov loop). This confirms that the close connection between deconfinement and localization of the low Dirac modes in ","authors_text":"Gy\\\"orgy Baranka, Matteo Giordano","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2021-04-08T14:03:51Z","title":"Localization of Dirac modes in finite-temperature $\\mathbb{Z}_2$ gauge theory on the lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.03779","kind":"arxiv","version":2},"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":"sha256:23d4eaba5dd71862ca78b47e52bcbdeafea69d45e280239e8c59a8e27273cc65","target":"record","created_at":"2026-07-05T03:19:08Z","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":"ea260e6a8d58c94164cc7767c3289bfa39b0f8bab4f90470fbc2f00db3ade5ed","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2021-04-08T14:03:51Z","title_canon_sha256":"a6ea45730c2d1c78cf60a6a3740c2d9329c0c0a27bdc8815af883ccf3d15a34c"},"schema_version":"1.0","source":{"id":"2104.03779","kind":"arxiv","version":2}},"canonical_sha256":"a2fd5dd37a940dd0036f6ee67bbe1f89c81f7dcaf1c284915481e7b414bd9e6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2fd5dd37a940dd0036f6ee67bbe1f89c81f7dcaf1c284915481e7b414bd9e6e","first_computed_at":"2026-07-05T03:19:08.049840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:19:08.049840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Au8ZRVWntZ1LaJ0d4jdudJiOeK+xkaCe6UlrMoqMgHDlvwsbRVwjGL9bCwR93TuSIBoNPWhsd+1e254Uo0CJDg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:19:08.050252Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.03779","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23d4eaba5dd71862ca78b47e52bcbdeafea69d45e280239e8c59a8e27273cc65","sha256:f7fbc71b82f43e52d7a6fa7325147d379d534fd7f05220b5d901228a3390d9a9"],"state_sha256":"396d123f4a6fa0993b40a7758aad89fcd1baabd4c4bc7c29add091127c605f85"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7zVEqFpjnILYbTzDtgoZE/9pKAl8b2KCFnddAxqPwt8pIPWumhIJ/mRUh8aE1QCCYcVM+oIpOKfW9pBJaxgLBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T03:19:56.782147Z","bundle_sha256":"f0a43d20546d0dc7b1153138078f9d4e101ac4083c6aa563ff23a465b2197d64"}}