{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:C764TLIHJP45DGFAN34TZMKFML","short_pith_number":"pith:C764TLIH","canonical_record":{"source":{"id":"1811.06228","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-15T08:27:04Z","cross_cats_sorted":[],"title_canon_sha256":"32a7a5847e998b77f42f2023927d45d3dda27c918e3a954bc3ac1320cb5686de","abstract_canon_sha256":"2b71224add1bd65a012625d3e275dc9a2d5a1d26d0531ce320784404a361124d"},"schema_version":"1.0"},"canonical_sha256":"17fdc9ad074bf9d198a06ef93cb14562f614220a1251b279e1cfde51ad5e79c9","source":{"kind":"arxiv","id":"1811.06228","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06228","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06228v2","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06228","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"pith_short_12","alias_value":"C764TLIHJP45","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"pith_short_16","alias_value":"C764TLIHJP45DGFA","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"pith_short_8","alias_value":"C764TLIH","created_at":"2026-07-05T00:01:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:C764TLIHJP45DGFAN34TZMKFML","target":"record","payload":{"canonical_record":{"source":{"id":"1811.06228","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-15T08:27:04Z","cross_cats_sorted":[],"title_canon_sha256":"32a7a5847e998b77f42f2023927d45d3dda27c918e3a954bc3ac1320cb5686de","abstract_canon_sha256":"2b71224add1bd65a012625d3e275dc9a2d5a1d26d0531ce320784404a361124d"},"schema_version":"1.0"},"canonical_sha256":"17fdc9ad074bf9d198a06ef93cb14562f614220a1251b279e1cfde51ad5e79c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:01:34.197006Z","signature_b64":"tsdWWJ7avAKyGqxqI5x4D4klxvT3PXsFR0YoN3TF/m1jzDsf0TgbeLTB7x8icRQ3yxtpa+VbUbl3f2bqcAU+CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17fdc9ad074bf9d198a06ef93cb14562f614220a1251b279e1cfde51ad5e79c9","last_reissued_at":"2026-07-05T00:01:34.196500Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:01:34.196500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.06228","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":"2026-07-05T00:01:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dZ8ytje78pRhtZMFuPIpdtSyQd6970Pj4GOtOrCw6nRY/E3kmcFIoGdncmTGa1XY69yzXaCRcMAZ2PvjdkHRBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:01:35.108256Z"},"content_sha256":"ca9383faeb547e7a308c3a580cb4d1171fd83ce81504f103f06e04da5e3aea00","schema_version":"1.0","event_id":"sha256:ca9383faeb547e7a308c3a580cb4d1171fd83ce81504f103f06e04da5e3aea00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:C764TLIHJP45DGFAN34TZMKFML","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The role of singletons in $S^7$ compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Padellaro, B.E.W. Nilsson, C.N. Pope","submitted_at":"2018-11-15T08:27:04Z","abstract_excerpt":"We derive the isometry irrep content of squashed seven-sphere compactifications of eleven-dimensional supergravity, i.e., the left-squashed ($LS^7$) with ${\\mathcal N}=1$ and right-squashed ($RS^7$) with ${\\mathcal N}=0$ supersymmetry, in a manner completely independent of the round sphere. Then we compare this result with the spectrum obtained by Higgsing the round sphere spectrum. This way we discover features of the spectra which makes it possible to argue that the only way the round spectrum can be related by a Higgs mechanism to the one of $LS^7$ is if the singletons are included in the r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06228","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/1811.06228/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":"2026-07-05T00:01:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eAvJWewmebHeglrslP7Ga9Mp002L6Ph3C5Zay+IImrHLJotsrRyHHVqvgvEqOBHFgiNO6Aj/8AxYKMjw6/c8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:01:35.108744Z"},"content_sha256":"78125bed0cb6a537f101da8f0d63f67cd80807714ba38ce0eb82c2764c2ccebe","schema_version":"1.0","event_id":"sha256:78125bed0cb6a537f101da8f0d63f67cd80807714ba38ce0eb82c2764c2ccebe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C764TLIHJP45DGFAN34TZMKFML/bundle.json","state_url":"https://pith.science/pith/C764TLIHJP45DGFAN34TZMKFML/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C764TLIHJP45DGFAN34TZMKFML/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":"2026-08-09T11:01:35Z","links":{"resolver":"https://pith.science/pith/C764TLIHJP45DGFAN34TZMKFML","bundle":"https://pith.science/pith/C764TLIHJP45DGFAN34TZMKFML/bundle.json","state":"https://pith.science/pith/C764TLIHJP45DGFAN34TZMKFML/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C764TLIHJP45DGFAN34TZMKFML/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:C764TLIHJP45DGFAN34TZMKFML","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":"2b71224add1bd65a012625d3e275dc9a2d5a1d26d0531ce320784404a361124d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-15T08:27:04Z","title_canon_sha256":"32a7a5847e998b77f42f2023927d45d3dda27c918e3a954bc3ac1320cb5686de"},"schema_version":"1.0","source":{"id":"1811.06228","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06228","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06228v2","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06228","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"pith_short_12","alias_value":"C764TLIHJP45","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"pith_short_16","alias_value":"C764TLIHJP45DGFA","created_at":"2026-07-05T00:01:34Z"},{"alias_kind":"pith_short_8","alias_value":"C764TLIH","created_at":"2026-07-05T00:01:34Z"}],"graph_snapshots":[{"event_id":"sha256:78125bed0cb6a537f101da8f0d63f67cd80807714ba38ce0eb82c2764c2ccebe","target":"graph","created_at":"2026-07-05T00:01:34Z","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/1811.06228/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the isometry irrep content of squashed seven-sphere compactifications of eleven-dimensional supergravity, i.e., the left-squashed ($LS^7$) with ${\\mathcal N}=1$ and right-squashed ($RS^7$) with ${\\mathcal N}=0$ supersymmetry, in a manner completely independent of the round sphere. Then we compare this result with the spectrum obtained by Higgsing the round sphere spectrum. This way we discover features of the spectra which makes it possible to argue that the only way the round spectrum can be related by a Higgs mechanism to the one of $LS^7$ is if the singletons are included in the r","authors_text":"A. Padellaro, B.E.W. Nilsson, C.N. Pope","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-15T08:27:04Z","title":"The role of singletons in $S^7$ compactifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06228","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:ca9383faeb547e7a308c3a580cb4d1171fd83ce81504f103f06e04da5e3aea00","target":"record","created_at":"2026-07-05T00:01:34Z","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":"2b71224add1bd65a012625d3e275dc9a2d5a1d26d0531ce320784404a361124d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-15T08:27:04Z","title_canon_sha256":"32a7a5847e998b77f42f2023927d45d3dda27c918e3a954bc3ac1320cb5686de"},"schema_version":"1.0","source":{"id":"1811.06228","kind":"arxiv","version":2}},"canonical_sha256":"17fdc9ad074bf9d198a06ef93cb14562f614220a1251b279e1cfde51ad5e79c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17fdc9ad074bf9d198a06ef93cb14562f614220a1251b279e1cfde51ad5e79c9","first_computed_at":"2026-07-05T00:01:34.196500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:01:34.196500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tsdWWJ7avAKyGqxqI5x4D4klxvT3PXsFR0YoN3TF/m1jzDsf0TgbeLTB7x8icRQ3yxtpa+VbUbl3f2bqcAU+CA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:01:34.197006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06228","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca9383faeb547e7a308c3a580cb4d1171fd83ce81504f103f06e04da5e3aea00","sha256:78125bed0cb6a537f101da8f0d63f67cd80807714ba38ce0eb82c2764c2ccebe"],"state_sha256":"def334329d0d144e3815227f52a0ec85bf9fe6f1f6c64cf1a25681e1d9e091b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HkAWWe1vMWowzweYYNY3Pf/rFH6mgXekN9H2hBwHt67ebkdOhkwTYxUT52M2oe/Yv3GgotztExO+40SPeQu8Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T11:01:35.112373Z","bundle_sha256":"c0b86f8f71d2e2880c923ac0e005d8bc911af07e548979917c3bb254d2234830"}}