{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ONFQQNDK46ZHPZ7T52GSXEOSD7","short_pith_number":"pith:ONFQQNDK","canonical_record":{"source":{"id":"1510.07720","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-10-26T23:36:11Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8a70e50d37bf3d8361c1545f68d3c90a419a3cb25d825b293411a2d00691b81b","abstract_canon_sha256":"05d07a59131624bf1704b893abed21d8242655083041711b231ac9feb9d6e790"},"schema_version":"1.0"},"canonical_sha256":"734b08346ae7b277e7f3ee8d2b91d21ff49085ab6e1c8bd4c5586f0ca4227b6e","source":{"kind":"arxiv","id":"1510.07720","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07720","created_at":"2026-05-18T01:11:51Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07720v2","created_at":"2026-05-18T01:11:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07720","created_at":"2026-05-18T01:11:51Z"},{"alias_kind":"pith_short_12","alias_value":"ONFQQNDK46ZH","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"ONFQQNDK46ZHPZ7T","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"ONFQQNDK","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ONFQQNDK46ZHPZ7T52GSXEOSD7","target":"record","payload":{"canonical_record":{"source":{"id":"1510.07720","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-10-26T23:36:11Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8a70e50d37bf3d8361c1545f68d3c90a419a3cb25d825b293411a2d00691b81b","abstract_canon_sha256":"05d07a59131624bf1704b893abed21d8242655083041711b231ac9feb9d6e790"},"schema_version":"1.0"},"canonical_sha256":"734b08346ae7b277e7f3ee8d2b91d21ff49085ab6e1c8bd4c5586f0ca4227b6e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:51.246810Z","signature_b64":"jTKyrD3wIo7DoPeHiq4+RS0aPZ+eC8zIuSFlRmLsJc6M39xzJAusD4ZopvYRtkwHjP348Vjgg05PlbG/ebyqDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"734b08346ae7b277e7f3ee8d2b91d21ff49085ab6e1c8bd4c5586f0ca4227b6e","last_reissued_at":"2026-05-18T01:11:51.246463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:51.246463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.07720","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ybtOHrWoG+0mb2gXUBrtLRM5tLfRbQ/aGhUuD1q2qeb9HYrlZ+UdJTengfjzljAFIkrlq0B8duirH8rQ07enBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:30:23.111824Z"},"content_sha256":"eb05a31a6bca628dfad65468ed0db16f987e48100eb36cb466e7d545c80e1438","schema_version":"1.0","event_id":"sha256:eb05a31a6bca628dfad65468ed0db16f987e48100eb36cb466e7d545c80e1438"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ONFQQNDK46ZHPZ7T52GSXEOSD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformations of nearly K\\\"ahler instantons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Benoit Charbonneau, Derek Harland","submitted_at":"2015-10-26T23:36:11Z","abstract_excerpt":"We formulate the deformation theory for instantons on nearly K\\\"ahler six-manifolds using spinors and Dirac operators. Using this framework we identify the space of deformations of an irreducible instanton with semisimple structure group with the kernel of an elliptic operator, and prove that abelian instantons are rigid. As an application, we show that the canonical connection on three of the four homogeneous nearly K\\\"ahler six-manifolds G/H is a rigid instanton with structure group H. In contrast, these connections admit large spaces of deformations when regarded as instantons on the tangen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07720","kind":"arxiv","version":2},"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":"2026-05-18T01:11:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hg0xNRlKn1dQN1YjeCr51Hn8bW7oq38uktU2AUknYOSEHxjjyroHhYCYpphZLsPdjB77hTLCs+ge8vePzxMfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:30:23.112191Z"},"content_sha256":"cdf047404e710d20757c6a6dfaf45c9623d15a5dd95407c8d2bf0e93946b2b7c","schema_version":"1.0","event_id":"sha256:cdf047404e710d20757c6a6dfaf45c9623d15a5dd95407c8d2bf0e93946b2b7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ONFQQNDK46ZHPZ7T52GSXEOSD7/bundle.json","state_url":"https://pith.science/pith/ONFQQNDK46ZHPZ7T52GSXEOSD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ONFQQNDK46ZHPZ7T52GSXEOSD7/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":"2026-06-01T15:30:23Z","links":{"resolver":"https://pith.science/pith/ONFQQNDK46ZHPZ7T52GSXEOSD7","bundle":"https://pith.science/pith/ONFQQNDK46ZHPZ7T52GSXEOSD7/bundle.json","state":"https://pith.science/pith/ONFQQNDK46ZHPZ7T52GSXEOSD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ONFQQNDK46ZHPZ7T52GSXEOSD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ONFQQNDK46ZHPZ7T52GSXEOSD7","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":"05d07a59131624bf1704b893abed21d8242655083041711b231ac9feb9d6e790","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-10-26T23:36:11Z","title_canon_sha256":"8a70e50d37bf3d8361c1545f68d3c90a419a3cb25d825b293411a2d00691b81b"},"schema_version":"1.0","source":{"id":"1510.07720","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07720","created_at":"2026-05-18T01:11:51Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07720v2","created_at":"2026-05-18T01:11:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07720","created_at":"2026-05-18T01:11:51Z"},{"alias_kind":"pith_short_12","alias_value":"ONFQQNDK46ZH","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"ONFQQNDK46ZHPZ7T","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"ONFQQNDK","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:cdf047404e710d20757c6a6dfaf45c9623d15a5dd95407c8d2bf0e93946b2b7c","target":"graph","created_at":"2026-05-18T01:11:51Z","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"},"paper":{"abstract_excerpt":"We formulate the deformation theory for instantons on nearly K\\\"ahler six-manifolds using spinors and Dirac operators. Using this framework we identify the space of deformations of an irreducible instanton with semisimple structure group with the kernel of an elliptic operator, and prove that abelian instantons are rigid. As an application, we show that the canonical connection on three of the four homogeneous nearly K\\\"ahler six-manifolds G/H is a rigid instanton with structure group H. In contrast, these connections admit large spaces of deformations when regarded as instantons on the tangen","authors_text":"Benoit Charbonneau, Derek Harland","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-10-26T23:36:11Z","title":"Deformations of nearly K\\\"ahler instantons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07720","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:eb05a31a6bca628dfad65468ed0db16f987e48100eb36cb466e7d545c80e1438","target":"record","created_at":"2026-05-18T01:11:51Z","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":"05d07a59131624bf1704b893abed21d8242655083041711b231ac9feb9d6e790","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-10-26T23:36:11Z","title_canon_sha256":"8a70e50d37bf3d8361c1545f68d3c90a419a3cb25d825b293411a2d00691b81b"},"schema_version":"1.0","source":{"id":"1510.07720","kind":"arxiv","version":2}},"canonical_sha256":"734b08346ae7b277e7f3ee8d2b91d21ff49085ab6e1c8bd4c5586f0ca4227b6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"734b08346ae7b277e7f3ee8d2b91d21ff49085ab6e1c8bd4c5586f0ca4227b6e","first_computed_at":"2026-05-18T01:11:51.246463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:51.246463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jTKyrD3wIo7DoPeHiq4+RS0aPZ+eC8zIuSFlRmLsJc6M39xzJAusD4ZopvYRtkwHjP348Vjgg05PlbG/ebyqDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:51.246810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07720","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb05a31a6bca628dfad65468ed0db16f987e48100eb36cb466e7d545c80e1438","sha256:cdf047404e710d20757c6a6dfaf45c9623d15a5dd95407c8d2bf0e93946b2b7c"],"state_sha256":"834703fe4a4102415c3b1eb8e2b736c16c0127997ffbfc429f0b0885ef371176"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PX/kBLWw7Fzuhdw2j3PJxPibdA2kYG5BTrfIs0fPi44Jej2Qb7Ed6+gDZL6MSFVjqCdSV9CXLPmYvQonMCdnDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:30:23.114414Z","bundle_sha256":"d7e69277781b03d0a9bb26d09d9aa4956ebc9f51881b6fb1ba8ff1c0c736b5ce"}}