{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MG34UA2NMOG3562ZS762C5NSBM","short_pith_number":"pith:MG34UA2N","canonical_record":{"source":{"id":"1308.5574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-26T13:15:32Z","cross_cats_sorted":[],"title_canon_sha256":"c8023a93dd616cf1720de42e2d27c7638f06816734d22677c8741613be4a9a99","abstract_canon_sha256":"c25ecd34eaa2c00ca7e2e323e1d94790dfac4968c534e9477b2041e1f00b1b3c"},"schema_version":"1.0"},"canonical_sha256":"61b7ca034d638dbefb5997fda175b20b3a7f722f6633226d3bbc44edd3637a7f","source":{"kind":"arxiv","id":"1308.5574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5574","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5574v1","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5574","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"MG34UA2NMOG3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MG34UA2NMOG3562Z","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MG34UA2N","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MG34UA2NMOG3562ZS762C5NSBM","target":"record","payload":{"canonical_record":{"source":{"id":"1308.5574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-26T13:15:32Z","cross_cats_sorted":[],"title_canon_sha256":"c8023a93dd616cf1720de42e2d27c7638f06816734d22677c8741613be4a9a99","abstract_canon_sha256":"c25ecd34eaa2c00ca7e2e323e1d94790dfac4968c534e9477b2041e1f00b1b3c"},"schema_version":"1.0"},"canonical_sha256":"61b7ca034d638dbefb5997fda175b20b3a7f722f6633226d3bbc44edd3637a7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:18.339024Z","signature_b64":"oqK6QKlUMfbC1kPZ/DHq32n2CMagwxl5O1btCHH869PTmpoUkkZfJCPi6xSWn1n78F+MUXlJt0BOl8OaRlGtBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61b7ca034d638dbefb5997fda175b20b3a7f722f6633226d3bbc44edd3637a7f","last_reissued_at":"2026-05-18T02:55:18.338422Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:18.338422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.5574","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lRImoG8Mb/BQz5cZfkfDfC9snaZ+oivLh7lBWuS2MWT2smpUUaJbeCH/OAP0BIDfU52A69PrDiPx0ip2jbYSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:07:12.767532Z"},"content_sha256":"023fe87d76849961431c9a094f4044894b1b3cf4cd41c2a2fdbc90240470653c","schema_version":"1.0","event_id":"sha256:023fe87d76849961431c9a094f4044894b1b3cf4cd41c2a2fdbc90240470653c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MG34UA2NMOG3562ZS762C5NSBM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stacking Textures and Singularities in Bilayer Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"E.J. Mele, Xingting Gong","submitted_at":"2013-08-26T13:15:32Z","abstract_excerpt":"We study a family of globally smooth spatially varying two dimensional stacking textures in bilayer graphene. We find that the strain-minimizing stacking patterns connecting inequivalent ground states with local $AB$ and $BA$ interlayer registries are two dimensional twisted textures of an interlayer displacement field. We construct and display these topological stacking textures for bilayer graphene, examine their interactions and develop the composition rules that allow us to represent other more complex stacking textures, including globally twisted graphenes and extended one dimensional dom"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5574","kind":"arxiv","version":1},"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":"2026-05-18T02:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KS9avdhyCDRBudFSMc3ogmK2fG0u5MYqQhnCaFdKZ+2E91SMMSW6hSnOIQBKUJ1wwPv16j+dKgIo5Ff3gfmeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:07:12.767881Z"},"content_sha256":"f8611a284ad299629a4e437049ad6e22b683b54208d3524d6e9ea8b2d952eb81","schema_version":"1.0","event_id":"sha256:f8611a284ad299629a4e437049ad6e22b683b54208d3524d6e9ea8b2d952eb81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MG34UA2NMOG3562ZS762C5NSBM/bundle.json","state_url":"https://pith.science/pith/MG34UA2NMOG3562ZS762C5NSBM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MG34UA2NMOG3562ZS762C5NSBM/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":"2026-06-01T17:07:12Z","links":{"resolver":"https://pith.science/pith/MG34UA2NMOG3562ZS762C5NSBM","bundle":"https://pith.science/pith/MG34UA2NMOG3562ZS762C5NSBM/bundle.json","state":"https://pith.science/pith/MG34UA2NMOG3562ZS762C5NSBM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MG34UA2NMOG3562ZS762C5NSBM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MG34UA2NMOG3562ZS762C5NSBM","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":"c25ecd34eaa2c00ca7e2e323e1d94790dfac4968c534e9477b2041e1f00b1b3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-26T13:15:32Z","title_canon_sha256":"c8023a93dd616cf1720de42e2d27c7638f06816734d22677c8741613be4a9a99"},"schema_version":"1.0","source":{"id":"1308.5574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5574","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5574v1","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5574","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"MG34UA2NMOG3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MG34UA2NMOG3562Z","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MG34UA2N","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:f8611a284ad299629a4e437049ad6e22b683b54208d3524d6e9ea8b2d952eb81","target":"graph","created_at":"2026-05-18T02:55:18Z","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 study a family of globally smooth spatially varying two dimensional stacking textures in bilayer graphene. We find that the strain-minimizing stacking patterns connecting inequivalent ground states with local $AB$ and $BA$ interlayer registries are two dimensional twisted textures of an interlayer displacement field. We construct and display these topological stacking textures for bilayer graphene, examine their interactions and develop the composition rules that allow us to represent other more complex stacking textures, including globally twisted graphenes and extended one dimensional dom","authors_text":"E.J. Mele, Xingting Gong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-26T13:15:32Z","title":"Stacking Textures and Singularities in Bilayer Graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5574","kind":"arxiv","version":1},"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":"sha256:023fe87d76849961431c9a094f4044894b1b3cf4cd41c2a2fdbc90240470653c","target":"record","created_at":"2026-05-18T02:55:18Z","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":"c25ecd34eaa2c00ca7e2e323e1d94790dfac4968c534e9477b2041e1f00b1b3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-26T13:15:32Z","title_canon_sha256":"c8023a93dd616cf1720de42e2d27c7638f06816734d22677c8741613be4a9a99"},"schema_version":"1.0","source":{"id":"1308.5574","kind":"arxiv","version":1}},"canonical_sha256":"61b7ca034d638dbefb5997fda175b20b3a7f722f6633226d3bbc44edd3637a7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61b7ca034d638dbefb5997fda175b20b3a7f722f6633226d3bbc44edd3637a7f","first_computed_at":"2026-05-18T02:55:18.338422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:18.338422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oqK6QKlUMfbC1kPZ/DHq32n2CMagwxl5O1btCHH869PTmpoUkkZfJCPi6xSWn1n78F+MUXlJt0BOl8OaRlGtBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:18.339024Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.5574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:023fe87d76849961431c9a094f4044894b1b3cf4cd41c2a2fdbc90240470653c","sha256:f8611a284ad299629a4e437049ad6e22b683b54208d3524d6e9ea8b2d952eb81"],"state_sha256":"90411cbf6822b3604b62ecae53e4a2047937a2efb24a42ea346009d1c37f9248"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P0XTkKheexouUgOZGChjuH17cOVHpABQKtMel5YMHcpc+cmmIEbibvCoYa3dPejhcOfqPDcW/H6I+yz2R3KUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:07:12.769844Z","bundle_sha256":"9ae19309ec31c26759d5e9e1da38d80b2a871d6bd19bd37746af80d9e23f2bea"}}