{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:5X4RMVWN6Q3RQ6LA7YXLQXWTF7","short_pith_number":"pith:5X4RMVWN","canonical_record":{"source":{"id":"2105.05229","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-11T17:45:45Z","cross_cats_sorted":[],"title_canon_sha256":"57a934f15385fd7d61b87e0bbd68f5dc413c2971272d3edc68a738c8276e72de","abstract_canon_sha256":"834843268dee343c233c3c35c246b50a143a2a2daa6339b16fdc19419ea731a1"},"schema_version":"1.0"},"canonical_sha256":"edf91656cdf437187960fe2eb85ed32fe5bbb2fb4ed800f3358b397d988355d4","source":{"kind":"arxiv","id":"2105.05229","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.05229","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"2105.05229v2","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.05229","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"5X4RMVWN6Q3R","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"pith_short_16","alias_value":"5X4RMVWN6Q3RQ6LA","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"pith_short_8","alias_value":"5X4RMVWN","created_at":"2026-07-05T03:45:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:5X4RMVWN6Q3RQ6LA7YXLQXWTF7","target":"record","payload":{"canonical_record":{"source":{"id":"2105.05229","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-11T17:45:45Z","cross_cats_sorted":[],"title_canon_sha256":"57a934f15385fd7d61b87e0bbd68f5dc413c2971272d3edc68a738c8276e72de","abstract_canon_sha256":"834843268dee343c233c3c35c246b50a143a2a2daa6339b16fdc19419ea731a1"},"schema_version":"1.0"},"canonical_sha256":"edf91656cdf437187960fe2eb85ed32fe5bbb2fb4ed800f3358b397d988355d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:45:32.171635Z","signature_b64":"EDzxdOZMJcY3vWw+VPRW287azXNpfF6YAAumaKE3vJNM+0CFyaygX+zD7FBdc+7eJAnNipwFDdIJn0pjT3PmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edf91656cdf437187960fe2eb85ed32fe5bbb2fb4ed800f3358b397d988355d4","last_reissued_at":"2026-07-05T03:45:32.171155Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:45:32.171155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.05229","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":"2026-07-05T03:45:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gSwqIR/H7w1KX5k4S54sF2iE5ZOndO1MDyLXNTUa4JEb3xTEzuPYIEAV9/7kDGPBOXxifycwJicBzL2KKrnCDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T02:19:22.149776Z"},"content_sha256":"a7ba1b5ad886dabe686165f28e3764144891fa18166c09c0a7022abdbac7236c","schema_version":"1.0","event_id":"sha256:a7ba1b5ad886dabe686165f28e3764144891fa18166c09c0a7022abdbac7236c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:5X4RMVWN6Q3RQ6LA7YXLQXWTF7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the squashed seven-sphere operator spectrum","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bengt E.W. Nilsson, Simon Ekhammar","submitted_at":"2021-05-11T17:45:45Z","abstract_excerpt":"We derive major parts of the eigenvalue spectrum of the operators on the squashed seven-sphere that appear in the compactification of eleven-dimensional supergravity. These spectra determine the mass spectrum of the fields in $AdS_4$ and are important for the corresponding ${\\mathcal N} =1$ supermultiplet structure. This work is a continuation of the work in [1] where the complete spectrum of irreducible isometry representations of the fields in $AdS_4$ was derived for this compactification. Some comments are also made concerning the $G_2$ holonomy and its implications on the structure of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.05229","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.05229/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":"2026-07-05T03:45:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZGFC8f/VWA93HVXE+vjQpjCCUffOhT8JdqTbR5KkXoGEVa+MZVNEwmKAdJgrGDtxn0/3yPFIK6+Q0cGNkthgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T02:19:22.150265Z"},"content_sha256":"aee6d042f2ac4222a68914a0e5fdbd1f55f214387c7fa57a30ceb67bdae022d2","schema_version":"1.0","event_id":"sha256:aee6d042f2ac4222a68914a0e5fdbd1f55f214387c7fa57a30ceb67bdae022d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5X4RMVWN6Q3RQ6LA7YXLQXWTF7/bundle.json","state_url":"https://pith.science/pith/5X4RMVWN6Q3RQ6LA7YXLQXWTF7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5X4RMVWN6Q3RQ6LA7YXLQXWTF7/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":"2026-08-10T02:19:22Z","links":{"resolver":"https://pith.science/pith/5X4RMVWN6Q3RQ6LA7YXLQXWTF7","bundle":"https://pith.science/pith/5X4RMVWN6Q3RQ6LA7YXLQXWTF7/bundle.json","state":"https://pith.science/pith/5X4RMVWN6Q3RQ6LA7YXLQXWTF7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5X4RMVWN6Q3RQ6LA7YXLQXWTF7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5X4RMVWN6Q3RQ6LA7YXLQXWTF7","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":"834843268dee343c233c3c35c246b50a143a2a2daa6339b16fdc19419ea731a1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-11T17:45:45Z","title_canon_sha256":"57a934f15385fd7d61b87e0bbd68f5dc413c2971272d3edc68a738c8276e72de"},"schema_version":"1.0","source":{"id":"2105.05229","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.05229","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"2105.05229v2","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.05229","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"5X4RMVWN6Q3R","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"pith_short_16","alias_value":"5X4RMVWN6Q3RQ6LA","created_at":"2026-07-05T03:45:32Z"},{"alias_kind":"pith_short_8","alias_value":"5X4RMVWN","created_at":"2026-07-05T03:45:32Z"}],"graph_snapshots":[{"event_id":"sha256:aee6d042f2ac4222a68914a0e5fdbd1f55f214387c7fa57a30ceb67bdae022d2","target":"graph","created_at":"2026-07-05T03:45:32Z","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/2105.05229/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive major parts of the eigenvalue spectrum of the operators on the squashed seven-sphere that appear in the compactification of eleven-dimensional supergravity. These spectra determine the mass spectrum of the fields in $AdS_4$ and are important for the corresponding ${\\mathcal N} =1$ supermultiplet structure. This work is a continuation of the work in [1] where the complete spectrum of irreducible isometry representations of the fields in $AdS_4$ was derived for this compactification. Some comments are also made concerning the $G_2$ holonomy and its implications on the structure of the ","authors_text":"Bengt E.W. Nilsson, Simon Ekhammar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-11T17:45:45Z","title":"On the squashed seven-sphere operator spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.05229","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:a7ba1b5ad886dabe686165f28e3764144891fa18166c09c0a7022abdbac7236c","target":"record","created_at":"2026-07-05T03:45:32Z","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":"834843268dee343c233c3c35c246b50a143a2a2daa6339b16fdc19419ea731a1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-05-11T17:45:45Z","title_canon_sha256":"57a934f15385fd7d61b87e0bbd68f5dc413c2971272d3edc68a738c8276e72de"},"schema_version":"1.0","source":{"id":"2105.05229","kind":"arxiv","version":2}},"canonical_sha256":"edf91656cdf437187960fe2eb85ed32fe5bbb2fb4ed800f3358b397d988355d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edf91656cdf437187960fe2eb85ed32fe5bbb2fb4ed800f3358b397d988355d4","first_computed_at":"2026-07-05T03:45:32.171155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:45:32.171155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EDzxdOZMJcY3vWw+VPRW287azXNpfF6YAAumaKE3vJNM+0CFyaygX+zD7FBdc+7eJAnNipwFDdIJn0pjT3PmBg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:45:32.171635Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.05229","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7ba1b5ad886dabe686165f28e3764144891fa18166c09c0a7022abdbac7236c","sha256:aee6d042f2ac4222a68914a0e5fdbd1f55f214387c7fa57a30ceb67bdae022d2"],"state_sha256":"529f193a00096e68877afda6c6036966443469f900e7ce3236b504df46e3baf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j4s79I/H8+wfIfBnUNwXyBRw/CJ9XzodAH6VIth4jVpLHThtH1yaRmPaNjhWIfGoNFqW8RjoBh04Iav3PjapDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T02:19:22.155012Z","bundle_sha256":"1bc5697f1939b1eaf8170a795d309694f33d6aaf6a1cb25b69ed0f3a95b93fc3"}}