{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DHEHQSF4JT4GJKHSAC553LD6JB","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":"afa437c4df99c33cbf85d890e20b61ebcf51a1dd7eb3fd51c99139e8caccc608","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-30T11:33:47Z","title_canon_sha256":"79f1834e620081f13a6329d91a511cbcd2f514b8c60a4a11b6bec8bd0e357a6e"},"schema_version":"1.0","source":{"id":"1007.5419","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.5419","created_at":"2026-05-18T04:10:57Z"},{"alias_kind":"arxiv_version","alias_value":"1007.5419v2","created_at":"2026-05-18T04:10:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.5419","created_at":"2026-05-18T04:10:57Z"},{"alias_kind":"pith_short_12","alias_value":"DHEHQSF4JT4G","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DHEHQSF4JT4GJKHS","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DHEHQSF4","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:4597292687b1b557f20292135dc578782b81388e15b7f7f3390b7c4c42c5dde1","target":"graph","created_at":"2026-05-18T04:10:57Z","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":"The actions, anomalies, and quantization conditions allow the M2-brane and the M5-brane to support, in a natural way, structures beyond Spin on their worldvolumes. The main examples are twisted String structures. This also extends to twisted String^c structures, which we introduce and relate to twisted String structures. The relation of the C-field to Chern-Simons theory suggests the use of the String cobordism category to describe the M2-brane.","authors_text":"Hisham Sati","cross_cats":["math.AT","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-30T11:33:47Z","title":"Geometric and topological structures related to M-branes II: Twisted String and String^c structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.5419","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":"sha256:297f6d4a4304d6b463294dc65c40acb562a851cb79306542b0ad4b0968f190d8","target":"record","created_at":"2026-05-18T04:10:57Z","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":"afa437c4df99c33cbf85d890e20b61ebcf51a1dd7eb3fd51c99139e8caccc608","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-30T11:33:47Z","title_canon_sha256":"79f1834e620081f13a6329d91a511cbcd2f514b8c60a4a11b6bec8bd0e357a6e"},"schema_version":"1.0","source":{"id":"1007.5419","kind":"arxiv","version":2}},"canonical_sha256":"19c87848bc4cf864a8f200bbddac7e48498effa624a897fb29a28c8fc6aaa5da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19c87848bc4cf864a8f200bbddac7e48498effa624a897fb29a28c8fc6aaa5da","first_computed_at":"2026-05-18T04:10:57.125305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:57.125305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pEwzP8mu8rL6tV2NdjBCs++CeSd5eX9kF5XTdCeGXqSn3RFBPidNOarHnPGQbAH0SSV2azXD/1awIT5IG+NKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:57.125816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.5419","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:297f6d4a4304d6b463294dc65c40acb562a851cb79306542b0ad4b0968f190d8","sha256:4597292687b1b557f20292135dc578782b81388e15b7f7f3390b7c4c42c5dde1"],"state_sha256":"f47468456b19c43d6546e97e337ca8f58081f27cc9a67efc7e9933f7b53cd2fe"}