{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:IRSTRUX7CZ5EU2BASSAKNNHTZJ","short_pith_number":"pith:IRSTRUX7","canonical_record":{"source":{"id":"2504.19097","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-27T04:00:08Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"5d54b72c5e85631428b64dc5f824827a931bbb2e726cd4944b40d2d001d1e00a","abstract_canon_sha256":"41522ced53bf0984ba6956776c14bd206d1a462f544f070d1b0f5357722e6bca"},"schema_version":"1.0"},"canonical_sha256":"446538d2ff167a4a68209480a6b4f3ca738eeffa2bcd174bfee7e3dc4e63ca66","source":{"kind":"arxiv","id":"2504.19097","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.19097","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"arxiv_version","alias_value":"2504.19097v3","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.19097","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"pith_short_12","alias_value":"IRSTRUX7CZ5E","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"IRSTRUX7CZ5EU2BA","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"IRSTRUX7","created_at":"2026-07-05T11:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:IRSTRUX7CZ5EU2BASSAKNNHTZJ","target":"record","payload":{"canonical_record":{"source":{"id":"2504.19097","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-27T04:00:08Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"5d54b72c5e85631428b64dc5f824827a931bbb2e726cd4944b40d2d001d1e00a","abstract_canon_sha256":"41522ced53bf0984ba6956776c14bd206d1a462f544f070d1b0f5357722e6bca"},"schema_version":"1.0"},"canonical_sha256":"446538d2ff167a4a68209480a6b4f3ca738eeffa2bcd174bfee7e3dc4e63ca66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:26:50.403458Z","signature_b64":"lf7f/jDUfSbG2ZnxGCkFoLtR7OK5kSQXSKj9I+ygQeCPS++k6xLdvxsgTSxk/T6RVUVQtXk75u4SMfSpvQV0CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"446538d2ff167a4a68209480a6b4f3ca738eeffa2bcd174bfee7e3dc4e63ca66","last_reissued_at":"2026-07-05T11:26:50.402981Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:26:50.402981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.19097","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":"2026-07-05T11:26:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZcS2sjsJL1nq51uUJdo+tKKQMqvoR3wt57kq7a99nzw9GEse/vYc/I+Ikj06y8zSDFAYkvnnqjpiNyMesYtBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T05:00:14.600437Z"},"content_sha256":"047dd19ce053465d13d8bd7925c661a9aa04ba036b5400954b5e7dc1c33e6195","schema_version":"1.0","event_id":"sha256:047dd19ce053465d13d8bd7925c661a9aa04ba036b5400954b5e7dc1c33e6195"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:IRSTRUX7CZ5EU2BASSAKNNHTZJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Yang-Mills flows for multilayered graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"hep-th","authors_text":"Nikita Nekrasov, Vasilii Iugov","submitted_at":"2025-04-27T04:00:08Z","abstract_excerpt":"We clarify the origin of magic angles in twisted multilayered graphene using Yang-Mills flows in two dimensions. We relate the effective Hamiltonian describing the electrons in the multilayered graphene to the ${\\bar\\partial}_{A}$ operator on a two dimensional torus coupled to an $SU(N)$ gauge field. Despite the absence of a characteristic class such as $c_{1}$ relevant for the quantum Hall effect, we show that there are topological invariants associated with the zero modes occuring in a family of Hamiltonians. The flatbands in the spectrum of the effective Hamiltonian are associated with Yang"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.19097","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/2504.19097/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":"2026-07-05T11:26:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Y3Yhz/0Zy8M08aBA0iOU2itY1wPGymKSW8s/b7QKI5vYoo9ZOW9n3fDM60Fcgeizq6hLpFc+VkDcgAcx9HBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T05:00:14.600836Z"},"content_sha256":"0acc435ee44244dca1dc1bf8c7aae8e815e001889bedf29aeb9d399a5cf6a03e","schema_version":"1.0","event_id":"sha256:0acc435ee44244dca1dc1bf8c7aae8e815e001889bedf29aeb9d399a5cf6a03e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IRSTRUX7CZ5EU2BASSAKNNHTZJ/bundle.json","state_url":"https://pith.science/pith/IRSTRUX7CZ5EU2BASSAKNNHTZJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IRSTRUX7CZ5EU2BASSAKNNHTZJ/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":"2026-08-19T05:00:14Z","links":{"resolver":"https://pith.science/pith/IRSTRUX7CZ5EU2BASSAKNNHTZJ","bundle":"https://pith.science/pith/IRSTRUX7CZ5EU2BASSAKNNHTZJ/bundle.json","state":"https://pith.science/pith/IRSTRUX7CZ5EU2BASSAKNNHTZJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IRSTRUX7CZ5EU2BASSAKNNHTZJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IRSTRUX7CZ5EU2BASSAKNNHTZJ","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":"41522ced53bf0984ba6956776c14bd206d1a462f544f070d1b0f5357722e6bca","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-27T04:00:08Z","title_canon_sha256":"5d54b72c5e85631428b64dc5f824827a931bbb2e726cd4944b40d2d001d1e00a"},"schema_version":"1.0","source":{"id":"2504.19097","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.19097","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"arxiv_version","alias_value":"2504.19097v3","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.19097","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"pith_short_12","alias_value":"IRSTRUX7CZ5E","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"IRSTRUX7CZ5EU2BA","created_at":"2026-07-05T11:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"IRSTRUX7","created_at":"2026-07-05T11:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:0acc435ee44244dca1dc1bf8c7aae8e815e001889bedf29aeb9d399a5cf6a03e","target":"graph","created_at":"2026-07-05T11:26:50Z","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/2504.19097/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We clarify the origin of magic angles in twisted multilayered graphene using Yang-Mills flows in two dimensions. We relate the effective Hamiltonian describing the electrons in the multilayered graphene to the ${\\bar\\partial}_{A}$ operator on a two dimensional torus coupled to an $SU(N)$ gauge field. Despite the absence of a characteristic class such as $c_{1}$ relevant for the quantum Hall effect, we show that there are topological invariants associated with the zero modes occuring in a family of Hamiltonians. The flatbands in the spectrum of the effective Hamiltonian are associated with Yang","authors_text":"Nikita Nekrasov, Vasilii Iugov","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-27T04:00:08Z","title":"Yang-Mills flows for multilayered graphene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.19097","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":"sha256:047dd19ce053465d13d8bd7925c661a9aa04ba036b5400954b5e7dc1c33e6195","target":"record","created_at":"2026-07-05T11:26:50Z","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":"41522ced53bf0984ba6956776c14bd206d1a462f544f070d1b0f5357722e6bca","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-27T04:00:08Z","title_canon_sha256":"5d54b72c5e85631428b64dc5f824827a931bbb2e726cd4944b40d2d001d1e00a"},"schema_version":"1.0","source":{"id":"2504.19097","kind":"arxiv","version":3}},"canonical_sha256":"446538d2ff167a4a68209480a6b4f3ca738eeffa2bcd174bfee7e3dc4e63ca66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"446538d2ff167a4a68209480a6b4f3ca738eeffa2bcd174bfee7e3dc4e63ca66","first_computed_at":"2026-07-05T11:26:50.402981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:26:50.402981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lf7f/jDUfSbG2ZnxGCkFoLtR7OK5kSQXSKj9I+ygQeCPS++k6xLdvxsgTSxk/T6RVUVQtXk75u4SMfSpvQV0CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:26:50.403458Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.19097","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:047dd19ce053465d13d8bd7925c661a9aa04ba036b5400954b5e7dc1c33e6195","sha256:0acc435ee44244dca1dc1bf8c7aae8e815e001889bedf29aeb9d399a5cf6a03e"],"state_sha256":"8ce538d645c114a3232fdb6d5d1c27e536c558f31a06c76edb4acca7b6b4616d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VOrwO8RgDrsRfobkb/Ko154jxyGZwLrSO54Q/U3iSfMMLts0jBwZN3soeppnq0CFJ50GiTmhD+J5nVsDgjhhDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T05:00:14.603231Z","bundle_sha256":"e8d0cc6a9161fe5bababef06973bbe6d3ac2a2efe3fb97ec00f9867d64997954"}}