{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:TPL7LY64B2V3KDHWUN2MVS7WMQ","short_pith_number":"pith:TPL7LY64","canonical_record":{"source":{"id":"1109.0307","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-01T21:05:18Z","cross_cats_sorted":[],"title_canon_sha256":"017010a2e8b65bda1bc494bf376f0a3694e241f7664cf9da85531ebfc04b3ba1","abstract_canon_sha256":"fc60b20091a247267b1fffde12ab9ca6adb7ebf1202b55717ed06826cda275e8"},"schema_version":"1.0"},"canonical_sha256":"9bd7f5e3dc0eabb50cf6a374cacbf66427a6f2aac589e86e78626f18245fbb2e","source":{"kind":"arxiv","id":"1109.0307","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0307","created_at":"2026-05-18T04:02:34Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0307v3","created_at":"2026-05-18T04:02:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0307","created_at":"2026-05-18T04:02:34Z"},{"alias_kind":"pith_short_12","alias_value":"TPL7LY64B2V3","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TPL7LY64B2V3KDHW","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TPL7LY64","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:TPL7LY64B2V3KDHWUN2MVS7WMQ","target":"record","payload":{"canonical_record":{"source":{"id":"1109.0307","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-01T21:05:18Z","cross_cats_sorted":[],"title_canon_sha256":"017010a2e8b65bda1bc494bf376f0a3694e241f7664cf9da85531ebfc04b3ba1","abstract_canon_sha256":"fc60b20091a247267b1fffde12ab9ca6adb7ebf1202b55717ed06826cda275e8"},"schema_version":"1.0"},"canonical_sha256":"9bd7f5e3dc0eabb50cf6a374cacbf66427a6f2aac589e86e78626f18245fbb2e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:34.809096Z","signature_b64":"sYOCvQydBmC+mnDGQc/jbs3IU1M2ufTsxrVuWp9MWNH69S9Pi6yRgl2Mfq0rNerLkTLn+/yEmjQuXRn4dMadBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bd7f5e3dc0eabb50cf6a374cacbf66427a6f2aac589e86e78626f18245fbb2e","last_reissued_at":"2026-05-18T04:02:34.808385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:34.808385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.0307","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":"2026-05-18T04:02:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BfxvB4VtCsh0Gm7dfDdiZDfrcRo//QlW9uSgjqL0W78c8Jmty3kE5edR9a26rfRnJPOWBFJvozrG1BUm6cphDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:48:02.359332Z"},"content_sha256":"327abddab85ce6f0666e5208880b50f16b23d1aa1156b126f820be0aa5e97788","schema_version":"1.0","event_id":"sha256:327abddab85ce6f0666e5208880b50f16b23d1aa1156b126f820be0aa5e97788"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:TPL7LY64B2V3KDHWUN2MVS7WMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Allan H. MacDonald, Fan Zhang, Jeil Jung","submitted_at":"2011-09-01T21:05:18Z","abstract_excerpt":"Graphene is a gapless semiconductor in which conduction and valence band wavefunctions differ only in the phase difference between their projections onto the two sublattices of the material's two-dimensional honeycomb crystal structure. We explain why this circumstance creates openings for broken symmetry states, including antiferromagnetic states in monolayer and bilayer graphene and exciton condensates in double-layer graphene, that are momentum space analogs of the real-space order common in systems with strong local interactions. We discuss some similarities among, and some differences bet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0307","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":""},"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":"2026-05-18T04:02:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q0iZKsYviGfK45Dfz5HUspCgmMa4VGms9+b7t8M+aHGGAY5sB7CBsW8cUUCybMtQbmEjg1CEnA0g/L7SZo6QBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:48:02.359991Z"},"content_sha256":"b0d1b6452ac8e889d1c8b6c55e8a8dd9ff755633a626304d23ee44d076b9f155","schema_version":"1.0","event_id":"sha256:b0d1b6452ac8e889d1c8b6c55e8a8dd9ff755633a626304d23ee44d076b9f155"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TPL7LY64B2V3KDHWUN2MVS7WMQ/bundle.json","state_url":"https://pith.science/pith/TPL7LY64B2V3KDHWUN2MVS7WMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TPL7LY64B2V3KDHWUN2MVS7WMQ/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":"2026-05-27T19:48:02Z","links":{"resolver":"https://pith.science/pith/TPL7LY64B2V3KDHWUN2MVS7WMQ","bundle":"https://pith.science/pith/TPL7LY64B2V3KDHWUN2MVS7WMQ/bundle.json","state":"https://pith.science/pith/TPL7LY64B2V3KDHWUN2MVS7WMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TPL7LY64B2V3KDHWUN2MVS7WMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TPL7LY64B2V3KDHWUN2MVS7WMQ","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":"fc60b20091a247267b1fffde12ab9ca6adb7ebf1202b55717ed06826cda275e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-01T21:05:18Z","title_canon_sha256":"017010a2e8b65bda1bc494bf376f0a3694e241f7664cf9da85531ebfc04b3ba1"},"schema_version":"1.0","source":{"id":"1109.0307","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0307","created_at":"2026-05-18T04:02:34Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0307v3","created_at":"2026-05-18T04:02:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0307","created_at":"2026-05-18T04:02:34Z"},{"alias_kind":"pith_short_12","alias_value":"TPL7LY64B2V3","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TPL7LY64B2V3KDHW","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TPL7LY64","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:b0d1b6452ac8e889d1c8b6c55e8a8dd9ff755633a626304d23ee44d076b9f155","target":"graph","created_at":"2026-05-18T04:02:34Z","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":"Graphene is a gapless semiconductor in which conduction and valence band wavefunctions differ only in the phase difference between their projections onto the two sublattices of the material's two-dimensional honeycomb crystal structure. We explain why this circumstance creates openings for broken symmetry states, including antiferromagnetic states in monolayer and bilayer graphene and exciton condensates in double-layer graphene, that are momentum space analogs of the real-space order common in systems with strong local interactions. We discuss some similarities among, and some differences bet","authors_text":"Allan H. MacDonald, Fan Zhang, Jeil Jung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-01T21:05:18Z","title":"Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0307","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":"sha256:327abddab85ce6f0666e5208880b50f16b23d1aa1156b126f820be0aa5e97788","target":"record","created_at":"2026-05-18T04:02:34Z","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":"fc60b20091a247267b1fffde12ab9ca6adb7ebf1202b55717ed06826cda275e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-01T21:05:18Z","title_canon_sha256":"017010a2e8b65bda1bc494bf376f0a3694e241f7664cf9da85531ebfc04b3ba1"},"schema_version":"1.0","source":{"id":"1109.0307","kind":"arxiv","version":3}},"canonical_sha256":"9bd7f5e3dc0eabb50cf6a374cacbf66427a6f2aac589e86e78626f18245fbb2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bd7f5e3dc0eabb50cf6a374cacbf66427a6f2aac589e86e78626f18245fbb2e","first_computed_at":"2026-05-18T04:02:34.808385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:34.808385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sYOCvQydBmC+mnDGQc/jbs3IU1M2ufTsxrVuWp9MWNH69S9Pi6yRgl2Mfq0rNerLkTLn+/yEmjQuXRn4dMadBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:34.809096Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0307","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:327abddab85ce6f0666e5208880b50f16b23d1aa1156b126f820be0aa5e97788","sha256:b0d1b6452ac8e889d1c8b6c55e8a8dd9ff755633a626304d23ee44d076b9f155"],"state_sha256":"adcfeba997a5701ffc5f66ecb2f3213e158191d899d06c25e33b3477eee315ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"15amX8WgkXAVH6a3eiWqFjYx2zFzCz3qOGdRxQjECQsXj/WV5eilvlmknG+/yw5W+FpMmP5aDbKUlEgdsauUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:48:02.363588Z","bundle_sha256":"31d80b3dd20d50f9fdf5609fda99fbe059a95559460319d6e80eb562a18c61ed"}}