{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YITF76OBKN2QXRH4NWD6FWEB47","short_pith_number":"pith:YITF76OB","canonical_record":{"source":{"id":"1501.06574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-26T21:00:10Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"90d099fc0bc38159a09a09c88c840283a212000fc1a115b119ddb771c39e11de","abstract_canon_sha256":"4119081a4af6b8fa3a8caa8dc0c06654bf00e6be637b1413c4bc49fb5fb3afaf"},"schema_version":"1.0"},"canonical_sha256":"c2265ff9c153750bc4fc6d87e2d881e7c38b47cc9482785fc2021102b6a92ca0","source":{"kind":"arxiv","id":"1501.06574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06574","created_at":"2026-05-18T01:41:08Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06574v1","created_at":"2026-05-18T01:41:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06574","created_at":"2026-05-18T01:41:08Z"},{"alias_kind":"pith_short_12","alias_value":"YITF76OBKN2Q","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YITF76OBKN2QXRH4","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YITF76OB","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YITF76OBKN2QXRH4NWD6FWEB47","target":"record","payload":{"canonical_record":{"source":{"id":"1501.06574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-26T21:00:10Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"90d099fc0bc38159a09a09c88c840283a212000fc1a115b119ddb771c39e11de","abstract_canon_sha256":"4119081a4af6b8fa3a8caa8dc0c06654bf00e6be637b1413c4bc49fb5fb3afaf"},"schema_version":"1.0"},"canonical_sha256":"c2265ff9c153750bc4fc6d87e2d881e7c38b47cc9482785fc2021102b6a92ca0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:08.511643Z","signature_b64":"3Dn5QODXVi6N5TOknMYtuOKzOncdr1xpQGJPm4xTFwV+fl7nLGvzYAvFvkS+ODvlzQ38T1lmstXMWLCk8GhgAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2265ff9c153750bc4fc6d87e2d881e7c38b47cc9482785fc2021102b6a92ca0","last_reissued_at":"2026-05-18T01:41:08.511137Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:08.511137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.06574","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:41:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TxUxG0qx65Qg8bE5eLLaNnJ/1bb863QSi48+7hcRmdYsMoKq5SEyzGi1eBU4bX0SZUOSagM+is5Vj4Ys100XAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T19:11:48.034041Z"},"content_sha256":"db2baa90b56bbfa52384132a2896777b1b790880dbd80bd220b767aa871c381d","schema_version":"1.0","event_id":"sha256:db2baa90b56bbfa52384132a2896777b1b790880dbd80bd220b767aa871c381d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YITF76OBKN2QXRH4NWD6FWEB47","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lumpy AdS$\\bf{_5\\times}$ S$\\bf{^5}$ Black Holes and Black Belts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Benson Way, Jorge E. Santos, Oscar J.C. Dias","submitted_at":"2015-01-26T21:00:10Z","abstract_excerpt":"Sufficiently small Schwarzschild black holes in global AdS$_5\\times$S$^5$ are Gregory-Laflamme unstable. We construct new families of black hole solutions that bifurcate from the onset of this instability and break the full SO$(6)$ symmetry group of the S$^5$ down to SO$(5)$. These new \"lumpy\" solutions are labelled by the harmonics $\\ell$. We find evidence that the $\\ell = 1$ branch never dominates the microcanonical/canonical ensembles and connects through a topology-changing merger to a localised black hole solution with S$^8$ topology. We argue that these S$^8$ black holes should become th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06574","kind":"arxiv","version":1},"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":"2026-05-18T01:41:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cqesiIjkoKmMKz++LhR+W/C0BwTjm57Zdt4aUJNxypaJyCDETGDOPJ1FPK4hOphZVdY0sXGHuQdjymEC0Vd0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T19:11:48.034612Z"},"content_sha256":"614bbff9fa2395b064529ec6329bde2fc43def1a9fa89cd6080cb97a180329ca","schema_version":"1.0","event_id":"sha256:614bbff9fa2395b064529ec6329bde2fc43def1a9fa89cd6080cb97a180329ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YITF76OBKN2QXRH4NWD6FWEB47/bundle.json","state_url":"https://pith.science/pith/YITF76OBKN2QXRH4NWD6FWEB47/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YITF76OBKN2QXRH4NWD6FWEB47/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":"2026-08-13T19:11:48Z","links":{"resolver":"https://pith.science/pith/YITF76OBKN2QXRH4NWD6FWEB47","bundle":"https://pith.science/pith/YITF76OBKN2QXRH4NWD6FWEB47/bundle.json","state":"https://pith.science/pith/YITF76OBKN2QXRH4NWD6FWEB47/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YITF76OBKN2QXRH4NWD6FWEB47/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YITF76OBKN2QXRH4NWD6FWEB47","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":"4119081a4af6b8fa3a8caa8dc0c06654bf00e6be637b1413c4bc49fb5fb3afaf","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-26T21:00:10Z","title_canon_sha256":"90d099fc0bc38159a09a09c88c840283a212000fc1a115b119ddb771c39e11de"},"schema_version":"1.0","source":{"id":"1501.06574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06574","created_at":"2026-05-18T01:41:08Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06574v1","created_at":"2026-05-18T01:41:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06574","created_at":"2026-05-18T01:41:08Z"},{"alias_kind":"pith_short_12","alias_value":"YITF76OBKN2Q","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YITF76OBKN2QXRH4","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YITF76OB","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:614bbff9fa2395b064529ec6329bde2fc43def1a9fa89cd6080cb97a180329ca","target":"graph","created_at":"2026-05-18T01:41:08Z","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":"Sufficiently small Schwarzschild black holes in global AdS$_5\\times$S$^5$ are Gregory-Laflamme unstable. We construct new families of black hole solutions that bifurcate from the onset of this instability and break the full SO$(6)$ symmetry group of the S$^5$ down to SO$(5)$. These new \"lumpy\" solutions are labelled by the harmonics $\\ell$. We find evidence that the $\\ell = 1$ branch never dominates the microcanonical/canonical ensembles and connects through a topology-changing merger to a localised black hole solution with S$^8$ topology. We argue that these S$^8$ black holes should become th","authors_text":"Benson Way, Jorge E. Santos, Oscar J.C. Dias","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-26T21:00:10Z","title":"Lumpy AdS$\\bf{_5\\times}$ S$\\bf{^5}$ Black Holes and Black Belts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06574","kind":"arxiv","version":1},"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:db2baa90b56bbfa52384132a2896777b1b790880dbd80bd220b767aa871c381d","target":"record","created_at":"2026-05-18T01:41:08Z","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":"4119081a4af6b8fa3a8caa8dc0c06654bf00e6be637b1413c4bc49fb5fb3afaf","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-26T21:00:10Z","title_canon_sha256":"90d099fc0bc38159a09a09c88c840283a212000fc1a115b119ddb771c39e11de"},"schema_version":"1.0","source":{"id":"1501.06574","kind":"arxiv","version":1}},"canonical_sha256":"c2265ff9c153750bc4fc6d87e2d881e7c38b47cc9482785fc2021102b6a92ca0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2265ff9c153750bc4fc6d87e2d881e7c38b47cc9482785fc2021102b6a92ca0","first_computed_at":"2026-05-18T01:41:08.511137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:08.511137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Dn5QODXVi6N5TOknMYtuOKzOncdr1xpQGJPm4xTFwV+fl7nLGvzYAvFvkS+ODvlzQ38T1lmstXMWLCk8GhgAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:08.511643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db2baa90b56bbfa52384132a2896777b1b790880dbd80bd220b767aa871c381d","sha256:614bbff9fa2395b064529ec6329bde2fc43def1a9fa89cd6080cb97a180329ca"],"state_sha256":"f5a87c60aa292d6492205159602ca75d18496e2af75aa14d94f8b28bf6f2570f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C3LeP2UQ0l1zAC99rxK0feIGFlf0yYyCi48d1gc9qEoPK/OYR0Gics7czKictMwmar0aAoTQAlf6/bAiq9jmAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T19:11:48.056585Z","bundle_sha256":"6d2363419dba64948baf36ff1f12f8294bc6834ec596635f229f721d45a24bc6"}}