{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XOSHCD72LTSGZXIFRKJMHRYOXF","short_pith_number":"pith:XOSHCD72","canonical_record":{"source":{"id":"2510.06451","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-07T20:42:00Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"title_canon_sha256":"a0f250ec44b6cb3667885c549f555797434400171257c5d8a0eea95deac4a475","abstract_canon_sha256":"8544d117dc5bbcee042b3599d6a7779434e00b670c32983d2c660463f4e897ff"},"schema_version":"1.0"},"canonical_sha256":"bba4710ffa5ce46cdd058a92c3c70eb961958f645175eb7fca86bb4c6839cf24","source":{"kind":"arxiv","id":"2510.06451","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.06451","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"arxiv_version","alias_value":"2510.06451v3","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.06451","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"pith_short_12","alias_value":"XOSHCD72LTSG","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"pith_short_16","alias_value":"XOSHCD72LTSGZXIF","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"pith_short_8","alias_value":"XOSHCD72","created_at":"2026-07-13T00:17:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XOSHCD72LTSGZXIFRKJMHRYOXF","target":"record","payload":{"canonical_record":{"source":{"id":"2510.06451","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-07T20:42:00Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"title_canon_sha256":"a0f250ec44b6cb3667885c549f555797434400171257c5d8a0eea95deac4a475","abstract_canon_sha256":"8544d117dc5bbcee042b3599d6a7779434e00b670c32983d2c660463f4e897ff"},"schema_version":"1.0"},"canonical_sha256":"bba4710ffa5ce46cdd058a92c3c70eb961958f645175eb7fca86bb4c6839cf24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-13T00:17:03.708287Z","signature_b64":"qHAyFdX2lYRpPucmrPv++/ZCg4D3+pmbXsn3rAMB4cXtev8pawtIGwaqn/cv/nkKa1gniNkm1Q9qKvRtSx2lCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bba4710ffa5ce46cdd058a92c3c70eb961958f645175eb7fca86bb4c6839cf24","last_reissued_at":"2026-07-13T00:17:03.706258Z","signature_status":"signed_v1","first_computed_at":"2026-07-13T00:17:03.706258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2510.06451","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":"2026-07-13T00:17:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5EoHLROd3cznA0DdvjG4uxTrN9fy48CyucLszr454wkKjPfsPjn/GlGdrdVYSWmeOwtuj2Q/XZXkausg5FrmBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T11:40:20.415394Z"},"content_sha256":"2a06fb0b0ec6910cb855c57340af0d33ec8c7e3da4197b7324841a90f638b578","schema_version":"1.0","event_id":"sha256:2a06fb0b0ec6910cb855c57340af0d33ec8c7e3da4197b7324841a90f638b578"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XOSHCD72LTSGZXIFRKJMHRYOXF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kekul\\'e Superconductivity in Twisted Magic Angle Bilayer Graphene","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"Ke Wang, K. Levin","submitted_at":"2025-10-07T20:42:00Z","abstract_excerpt":"While it has been one of the most important new physics discoveries in the last decade, the nature of superconductivity in the twisted graphene family remains an unsolved problem. Motivated by recent scanning tunneling experiments that report Kekul\\'e ordering in moir\\'e graphene superconductors, we develop a microscopic theory of this superconductivity for the twisted bilayer system. The pairing we find is an intra-valley, finite-momentum pair-density wave (PDW) that intrinsically carries a Kekul\\'e modulation. This state exhibits four salient features: (i) spontaneous breaking of $C_3$ rotat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.06451","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/2510.06451/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":"2026-07-13T00:17:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7I/iMsu+NPFWzRNFPWC3NZs8scYCKNzWuJgm1dbW1cd5UX45eXFhvOIGx3ejflN3BwLIjspqTTSCNi0S4Tx8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T11:40:20.415937Z"},"content_sha256":"f3555970e473e43416fabda7983d6b4416cf1c17960f4e3217bb8ecfe02ac27d","schema_version":"1.0","event_id":"sha256:f3555970e473e43416fabda7983d6b4416cf1c17960f4e3217bb8ecfe02ac27d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XOSHCD72LTSGZXIFRKJMHRYOXF/bundle.json","state_url":"https://pith.science/pith/XOSHCD72LTSGZXIFRKJMHRYOXF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XOSHCD72LTSGZXIFRKJMHRYOXF/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":"2026-08-06T11:40:20Z","links":{"resolver":"https://pith.science/pith/XOSHCD72LTSGZXIFRKJMHRYOXF","bundle":"https://pith.science/pith/XOSHCD72LTSGZXIFRKJMHRYOXF/bundle.json","state":"https://pith.science/pith/XOSHCD72LTSGZXIFRKJMHRYOXF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XOSHCD72LTSGZXIFRKJMHRYOXF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XOSHCD72LTSGZXIFRKJMHRYOXF","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":"8544d117dc5bbcee042b3599d6a7779434e00b670c32983d2c660463f4e897ff","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-07T20:42:00Z","title_canon_sha256":"a0f250ec44b6cb3667885c549f555797434400171257c5d8a0eea95deac4a475"},"schema_version":"1.0","source":{"id":"2510.06451","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.06451","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"arxiv_version","alias_value":"2510.06451v3","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.06451","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"pith_short_12","alias_value":"XOSHCD72LTSG","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"pith_short_16","alias_value":"XOSHCD72LTSGZXIF","created_at":"2026-07-13T00:17:03Z"},{"alias_kind":"pith_short_8","alias_value":"XOSHCD72","created_at":"2026-07-13T00:17:03Z"}],"graph_snapshots":[{"event_id":"sha256:f3555970e473e43416fabda7983d6b4416cf1c17960f4e3217bb8ecfe02ac27d","target":"graph","created_at":"2026-07-13T00:17:03Z","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/2510.06451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While it has been one of the most important new physics discoveries in the last decade, the nature of superconductivity in the twisted graphene family remains an unsolved problem. Motivated by recent scanning tunneling experiments that report Kekul\\'e ordering in moir\\'e graphene superconductors, we develop a microscopic theory of this superconductivity for the twisted bilayer system. The pairing we find is an intra-valley, finite-momentum pair-density wave (PDW) that intrinsically carries a Kekul\\'e modulation. This state exhibits four salient features: (i) spontaneous breaking of $C_3$ rotat","authors_text":"Ke Wang, K. Levin","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-07T20:42:00Z","title":"Kekul\\'e Superconductivity in Twisted Magic Angle Bilayer Graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.06451","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":"sha256:2a06fb0b0ec6910cb855c57340af0d33ec8c7e3da4197b7324841a90f638b578","target":"record","created_at":"2026-07-13T00:17:03Z","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":"8544d117dc5bbcee042b3599d6a7779434e00b670c32983d2c660463f4e897ff","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2025-10-07T20:42:00Z","title_canon_sha256":"a0f250ec44b6cb3667885c549f555797434400171257c5d8a0eea95deac4a475"},"schema_version":"1.0","source":{"id":"2510.06451","kind":"arxiv","version":3}},"canonical_sha256":"bba4710ffa5ce46cdd058a92c3c70eb961958f645175eb7fca86bb4c6839cf24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bba4710ffa5ce46cdd058a92c3c70eb961958f645175eb7fca86bb4c6839cf24","first_computed_at":"2026-07-13T00:17:03.706258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T00:17:03.706258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qHAyFdX2lYRpPucmrPv++/ZCg4D3+pmbXsn3rAMB4cXtev8pawtIGwaqn/cv/nkKa1gniNkm1Q9qKvRtSx2lCQ==","signature_status":"signed_v1","signed_at":"2026-07-13T00:17:03.708287Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.06451","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a06fb0b0ec6910cb855c57340af0d33ec8c7e3da4197b7324841a90f638b578","sha256:f3555970e473e43416fabda7983d6b4416cf1c17960f4e3217bb8ecfe02ac27d"],"state_sha256":"f948b0f6a0c94d39778ae983a1810afe041495f0e9d541dcf137312d041afdaf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U6Hs+eO2JpvX0kEWCOE0TwDlRvEXD8beBnWq7+TeCgrDD8ajbSEFb9CzMYWa9Aq9Wby8EVZaOEETjyPnQIsICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T11:40:20.421192Z","bundle_sha256":"af381a21040cd56bed7198ae4b6469c5266fff17ac91a6a3448f164d39781079"}}