{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OPOBL4S63BR5AIPLQBQ674EKBS","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":"0fd62bfb1820f831f76686cf37a3f29e8d1813858eb29b3a55a5c8da274712e4","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-11-10T16:00:18Z","title_canon_sha256":"bf42b958d79532de5754dc7d1eca0933aa05d827b73ff99e12ec3491f9d210f2"},"schema_version":"1.0","source":{"id":"2511.07246","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.07246","created_at":"2026-07-21T00:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"2511.07246v2","created_at":"2026-07-21T00:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.07246","created_at":"2026-07-21T00:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"OPOBL4S63BR5","created_at":"2026-07-21T00:19:51Z"},{"alias_kind":"pith_short_16","alias_value":"OPOBL4S63BR5AIPL","created_at":"2026-07-21T00:19:51Z"},{"alias_kind":"pith_short_8","alias_value":"OPOBL4S6","created_at":"2026-07-21T00:19:51Z"}],"graph_snapshots":[{"event_id":"sha256:375ba40f3f9480a322afe5730307cdb56a3387726c232e3704b3420546904834","target":"graph","created_at":"2026-07-21T00:19:51Z","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/2511.07246/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define the notion of a Killing (super)algebra for a connection on a spinor bundle associated to a generalised spin structure on a pseudo-Riemannian manifold of any signature. We are led naturally to include in the even subspace not only Killing vectors but also certain infinitesimal gauge transformations, and we show that the definition of the (super)algebra requires, in addition to the spinor connection and a Dirac current, a map to pair spinor fields into infinitesimal gauge transformations. We show that these (super)algebras are filtered subdeformations of (an analogue of) the Poincar\\'e","authors_text":"Andrew D.K. Beckett","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-11-10T16:00:18Z","title":"Killing (super)algebras for generalised spin manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.07246","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:a99b6319e748472b99f8414a0679fda2edf9f72892e191f3bf0677b2d9f7bc65","target":"record","created_at":"2026-07-21T00:19:51Z","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":"0fd62bfb1820f831f76686cf37a3f29e8d1813858eb29b3a55a5c8da274712e4","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-11-10T16:00:18Z","title_canon_sha256":"bf42b958d79532de5754dc7d1eca0933aa05d827b73ff99e12ec3491f9d210f2"},"schema_version":"1.0","source":{"id":"2511.07246","kind":"arxiv","version":2}},"canonical_sha256":"73dc15f25ed863d021eb8061eff08a0cb04ecddb1250e5cfae3724fe25b3be99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73dc15f25ed863d021eb8061eff08a0cb04ecddb1250e5cfae3724fe25b3be99","first_computed_at":"2026-07-21T00:19:51.550033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T00:19:51.550033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5BsI26YV3msgjg8kEhPzx/Zpyg2WzyhemyPbDON2oMTjYj4VMnmMNU/wE2764OJCVvGCfVmAiaJ/OI3gOB80Bw==","signature_status":"signed_v1","signed_at":"2026-07-21T00:19:51.551027Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.07246","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a99b6319e748472b99f8414a0679fda2edf9f72892e191f3bf0677b2d9f7bc65","sha256:375ba40f3f9480a322afe5730307cdb56a3387726c232e3704b3420546904834"],"state_sha256":"557f537ac6dcdc76c2c7a39bbd5c8b8944fd127ae7486970cab2cc2f2e93b20f"}