{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:TDMUUPDCKXL5UNK7OUATKG5MF7","short_pith_number":"pith:TDMUUPDC","schema_version":"1.0","canonical_sha256":"98d94a3c6255d7da355f7501351bac2ffde37d924cb206492da5774fea75d486","source":{"kind":"arxiv","id":"2002.02386","version":3},"attestation_state":"computed","paper":{"title":"$\\mathrm{G}_2$-instantons on the 7-sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alex Waldron","submitted_at":"2020-02-06T17:29:41Z","abstract_excerpt":"We study the deformation theory of $\\mathrm{G}_2$-instantons on the 7-sphere, specifically those obtained from instantons on the 4-sphere via the quaternionic Hopf fibration. We find that the pullback of the standard ASD instanton lies in a smooth, complete, 15-dimensional family of $\\mathrm{G}_2$-instantons. In general, the space of infinitesimal $\\mathrm{G}_2$-instanton deformations on $S^7$ is identified with three copies of the space of ASD deformations on $S^4.$"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2002.02386","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2020-02-06T17:29:41Z","cross_cats_sorted":[],"title_canon_sha256":"0e34d3afbd7a3fd360ffd7d171dd7ef15a48593a9155d296f457d04001384191","abstract_canon_sha256":"7ff4606b1ef27cfe0d9dac0c8de2781bc025e1a639258cacd9ecd5bb7a1019c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:10:12.878970Z","signature_b64":"BX8WnZM8idDVxOjlX1a/ynVPpKSAM9QxU8gt3SpapkcR9qImJcB3gM/x9b3YFbigRB8yi+RZEwj3rxVlWAqiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98d94a3c6255d7da355f7501351bac2ffde37d924cb206492da5774fea75d486","last_reissued_at":"2026-07-05T06:10:12.878504Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:10:12.878504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$\\mathrm{G}_2$-instantons on the 7-sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alex Waldron","submitted_at":"2020-02-06T17:29:41Z","abstract_excerpt":"We study the deformation theory of $\\mathrm{G}_2$-instantons on the 7-sphere, specifically those obtained from instantons on the 4-sphere via the quaternionic Hopf fibration. We find that the pullback of the standard ASD instanton lies in a smooth, complete, 15-dimensional family of $\\mathrm{G}_2$-instantons. In general, the space of infinitesimal $\\mathrm{G}_2$-instanton deformations on $S^7$ is identified with three copies of the space of ASD deformations on $S^4.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.02386","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/2002.02386/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2002.02386","created_at":"2026-07-05T06:10:12.878562+00:00"},{"alias_kind":"arxiv_version","alias_value":"2002.02386v3","created_at":"2026-07-05T06:10:12.878562+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.02386","created_at":"2026-07-05T06:10:12.878562+00:00"},{"alias_kind":"pith_short_12","alias_value":"TDMUUPDCKXL5","created_at":"2026-07-05T06:10:12.878562+00:00"},{"alias_kind":"pith_short_16","alias_value":"TDMUUPDCKXL5UNK7","created_at":"2026-07-05T06:10:12.878562+00:00"},{"alias_kind":"pith_short_8","alias_value":"TDMUUPDC","created_at":"2026-07-05T06:10:12.878562+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.21997","citing_title":"A Physicist's Visit to Exotic Spheres","ref_index":47,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TDMUUPDCKXL5UNK7OUATKG5MF7","json":"https://pith.science/pith/TDMUUPDCKXL5UNK7OUATKG5MF7.json","graph_json":"https://pith.science/api/pith-number/TDMUUPDCKXL5UNK7OUATKG5MF7/graph.json","events_json":"https://pith.science/api/pith-number/TDMUUPDCKXL5UNK7OUATKG5MF7/events.json","paper":"https://pith.science/paper/TDMUUPDC"},"agent_actions":{"view_html":"https://pith.science/pith/TDMUUPDCKXL5UNK7OUATKG5MF7","download_json":"https://pith.science/pith/TDMUUPDCKXL5UNK7OUATKG5MF7.json","view_paper":"https://pith.science/paper/TDMUUPDC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2002.02386&json=true","fetch_graph":"https://pith.science/api/pith-number/TDMUUPDCKXL5UNK7OUATKG5MF7/graph.json","fetch_events":"https://pith.science/api/pith-number/TDMUUPDCKXL5UNK7OUATKG5MF7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TDMUUPDCKXL5UNK7OUATKG5MF7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TDMUUPDCKXL5UNK7OUATKG5MF7/action/storage_attestation","attest_author":"https://pith.science/pith/TDMUUPDCKXL5UNK7OUATKG5MF7/action/author_attestation","sign_citation":"https://pith.science/pith/TDMUUPDCKXL5UNK7OUATKG5MF7/action/citation_signature","submit_replication":"https://pith.science/pith/TDMUUPDCKXL5UNK7OUATKG5MF7/action/replication_record"}},"created_at":"2026-07-05T06:10:12.878562+00:00","updated_at":"2026-07-05T06:10:12.878562+00:00"}