{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GHH2EQQB4XFOIVCFYE5HBJBQES","short_pith_number":"pith:GHH2EQQB","canonical_record":{"source":{"id":"1511.02277","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-07T01:34:42Z","cross_cats_sorted":[],"title_canon_sha256":"d586df15977c4309fb8659d7a4c6c745cf85c8fc1e66d4a413386b5c609d9af2","abstract_canon_sha256":"74098916f3465a2df85de3662abf924a83b43fb7c7ce07e7a65a133353c5004d"},"schema_version":"1.0"},"canonical_sha256":"31cfa24201e5cae45445c13a70a43024a7134cf668fb5a284b025c70aa037a8e","source":{"kind":"arxiv","id":"1511.02277","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02277","created_at":"2026-05-18T01:08:12Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02277v2","created_at":"2026-05-18T01:08:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02277","created_at":"2026-05-18T01:08:12Z"},{"alias_kind":"pith_short_12","alias_value":"GHH2EQQB4XFO","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GHH2EQQB4XFOIVCF","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GHH2EQQB","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GHH2EQQB4XFOIVCFYE5HBJBQES","target":"record","payload":{"canonical_record":{"source":{"id":"1511.02277","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-07T01:34:42Z","cross_cats_sorted":[],"title_canon_sha256":"d586df15977c4309fb8659d7a4c6c745cf85c8fc1e66d4a413386b5c609d9af2","abstract_canon_sha256":"74098916f3465a2df85de3662abf924a83b43fb7c7ce07e7a65a133353c5004d"},"schema_version":"1.0"},"canonical_sha256":"31cfa24201e5cae45445c13a70a43024a7134cf668fb5a284b025c70aa037a8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:12.808497Z","signature_b64":"Y5+Xe/Zc4H6IzBK6UzKE2fV34wea6SHrNeUvp56PUXi8ArAG0JvLAI4Lg0xB6QXboyqXkzAwhYt7nMk5t27TAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31cfa24201e5cae45445c13a70a43024a7134cf668fb5a284b025c70aa037a8e","last_reissued_at":"2026-05-18T01:08:12.808051Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:12.808051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.02277","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":"2026-05-18T01:08:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"47XnW/PzwvW9kpf6BEU8eKD1YnVJ+VXtZbB7j6Ke8i2kzhu+VlaAfgJjcJzvgX/2NXPRgDC466Fk5pgdGkUdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:21:16.170581Z"},"content_sha256":"f147da5d7f7ec7a1fbd5195bc344cabc0cb660f8210d5642b98c58cfbff948af","schema_version":"1.0","event_id":"sha256:f147da5d7f7ec7a1fbd5195bc344cabc0cb660f8210d5642b98c58cfbff948af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GHH2EQQB4XFOIVCFYE5HBJBQES","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coulomb interactions, Dirac sea polarization and $SU(4)$ symmetry breaking of the integer quantum Hall states of graphene","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"R. Shankar, Vinu Lukose","submitted_at":"2015-11-07T01:34:42Z","abstract_excerpt":"We investigate effects of the filled Dirac sea on the $SU(4)$ symmetry breaking in the integer quantum Hall states of graphene with long-ranged Coulomb interactions. Our model also includes Hubbard and nearest neighbour repulsive interactions with strengths $U$ and $V$ respectively. We find that the symmetry breaking of the $n=0$ Landau levels induces an $SU(4)$ polarization of the Dirac sea. This results in several phases which are absent when the effects of the Dirac sea are neglected. We compute the phase diagram in the $U$-$V$ space. We also calculate the excitation gaps in tilted magnetic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02277","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":""},"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":"2026-05-18T01:08:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"An8W/CNc7h9FK3cKoAVkS1mXwVgzRoFSQQGDqNHBRFZtNeVsq50WD58wI42fc9xhldfANgokKojveqf1yOxlCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:21:16.171217Z"},"content_sha256":"cf86bdc53206aeae3e2c9d0a3384487d7c9e6b7f2c18d2880e5b7042c4803297","schema_version":"1.0","event_id":"sha256:cf86bdc53206aeae3e2c9d0a3384487d7c9e6b7f2c18d2880e5b7042c4803297"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GHH2EQQB4XFOIVCFYE5HBJBQES/bundle.json","state_url":"https://pith.science/pith/GHH2EQQB4XFOIVCFYE5HBJBQES/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GHH2EQQB4XFOIVCFYE5HBJBQES/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":"2026-06-04T06:21:16Z","links":{"resolver":"https://pith.science/pith/GHH2EQQB4XFOIVCFYE5HBJBQES","bundle":"https://pith.science/pith/GHH2EQQB4XFOIVCFYE5HBJBQES/bundle.json","state":"https://pith.science/pith/GHH2EQQB4XFOIVCFYE5HBJBQES/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GHH2EQQB4XFOIVCFYE5HBJBQES/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GHH2EQQB4XFOIVCFYE5HBJBQES","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":"74098916f3465a2df85de3662abf924a83b43fb7c7ce07e7a65a133353c5004d","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-07T01:34:42Z","title_canon_sha256":"d586df15977c4309fb8659d7a4c6c745cf85c8fc1e66d4a413386b5c609d9af2"},"schema_version":"1.0","source":{"id":"1511.02277","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02277","created_at":"2026-05-18T01:08:12Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02277v2","created_at":"2026-05-18T01:08:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02277","created_at":"2026-05-18T01:08:12Z"},{"alias_kind":"pith_short_12","alias_value":"GHH2EQQB4XFO","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GHH2EQQB4XFOIVCF","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GHH2EQQB","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:cf86bdc53206aeae3e2c9d0a3384487d7c9e6b7f2c18d2880e5b7042c4803297","target":"graph","created_at":"2026-05-18T01:08:12Z","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"},"paper":{"abstract_excerpt":"We investigate effects of the filled Dirac sea on the $SU(4)$ symmetry breaking in the integer quantum Hall states of graphene with long-ranged Coulomb interactions. Our model also includes Hubbard and nearest neighbour repulsive interactions with strengths $U$ and $V$ respectively. We find that the symmetry breaking of the $n=0$ Landau levels induces an $SU(4)$ polarization of the Dirac sea. This results in several phases which are absent when the effects of the Dirac sea are neglected. We compute the phase diagram in the $U$-$V$ space. We also calculate the excitation gaps in tilted magnetic","authors_text":"R. Shankar, Vinu Lukose","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-07T01:34:42Z","title":"Coulomb interactions, Dirac sea polarization and $SU(4)$ symmetry breaking of the integer quantum Hall states of graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02277","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:f147da5d7f7ec7a1fbd5195bc344cabc0cb660f8210d5642b98c58cfbff948af","target":"record","created_at":"2026-05-18T01:08:12Z","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":"74098916f3465a2df85de3662abf924a83b43fb7c7ce07e7a65a133353c5004d","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-07T01:34:42Z","title_canon_sha256":"d586df15977c4309fb8659d7a4c6c745cf85c8fc1e66d4a413386b5c609d9af2"},"schema_version":"1.0","source":{"id":"1511.02277","kind":"arxiv","version":2}},"canonical_sha256":"31cfa24201e5cae45445c13a70a43024a7134cf668fb5a284b025c70aa037a8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31cfa24201e5cae45445c13a70a43024a7134cf668fb5a284b025c70aa037a8e","first_computed_at":"2026-05-18T01:08:12.808051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:12.808051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y5+Xe/Zc4H6IzBK6UzKE2fV34wea6SHrNeUvp56PUXi8ArAG0JvLAI4Lg0xB6QXboyqXkzAwhYt7nMk5t27TAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:12.808497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02277","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f147da5d7f7ec7a1fbd5195bc344cabc0cb660f8210d5642b98c58cfbff948af","sha256:cf86bdc53206aeae3e2c9d0a3384487d7c9e6b7f2c18d2880e5b7042c4803297"],"state_sha256":"933bf14ab072f015cdaa93e345d652b4dbb99dbed45bf2afec0b145e014c4ff0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o0LrvKvaP+3uLMxauJpMnBLl13xJW8pvxHRL/SaXIih5Jcf/wOCvIUHapJyFGL1LX7KdMvRmBusTXnnIp7mjAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:21:16.174673Z","bundle_sha256":"878fe6f3360b9b4d298914fdbd5cd8f8e40fe534386f1385e973cca3f7e1691d"}}