{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7VJPNBLFZ6AUHIRKLZP67EUGHC","short_pith_number":"pith:7VJPNBLF","canonical_record":{"source":{"id":"1203.0214","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-01T15:32:08Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1dc5e05e4cd9c1feeeba09272a6c1e9e93c1662ab8d3bb462e4c4f94561ccb7a","abstract_canon_sha256":"49ebbb2b4011bfbfe40c56fd9e5826e0a923bec8564b318a6fe7c5b998cfc2cc"},"schema_version":"1.0"},"canonical_sha256":"fd52f68565cf8143a22a5e5fef9286389d8f04d4e20355439e73fe9e566599b1","source":{"kind":"arxiv","id":"1203.0214","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0214","created_at":"2026-05-18T01:58:17Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0214v2","created_at":"2026-05-18T01:58:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0214","created_at":"2026-05-18T01:58:17Z"},{"alias_kind":"pith_short_12","alias_value":"7VJPNBLFZ6AU","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7VJPNBLFZ6AUHIRK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7VJPNBLF","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7VJPNBLFZ6AUHIRKLZP67EUGHC","target":"record","payload":{"canonical_record":{"source":{"id":"1203.0214","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-01T15:32:08Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1dc5e05e4cd9c1feeeba09272a6c1e9e93c1662ab8d3bb462e4c4f94561ccb7a","abstract_canon_sha256":"49ebbb2b4011bfbfe40c56fd9e5826e0a923bec8564b318a6fe7c5b998cfc2cc"},"schema_version":"1.0"},"canonical_sha256":"fd52f68565cf8143a22a5e5fef9286389d8f04d4e20355439e73fe9e566599b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:17.811092Z","signature_b64":"yRiY84biAFvo45OcdwAJ9GmK82qv9RG14dM4bkhAumSTKhaQO9OZjLllIG5pqNZrCVj1oH2EZxzNTlstx8ANBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd52f68565cf8143a22a5e5fef9286389d8f04d4e20355439e73fe9e566599b1","last_reissued_at":"2026-05-18T01:58:17.810647Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:17.810647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.0214","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":"2026-05-18T01:58:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"huVSQ5ebFLswRP4CBz/TwtuvpLlLt6D5hVX/8wyljwVDHNIoKBokobNg1wF76sXo2HcOB6vsHIr078nT9PycDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:15:25.811381Z"},"content_sha256":"a1ea2148768a2057e18cd6895b5d3d316edf276162182e7ed85c4ff6b353fcab","schema_version":"1.0","event_id":"sha256:a1ea2148768a2057e18cd6895b5d3d316edf276162182e7ed85c4ff6b353fcab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7VJPNBLFZ6AUHIRKLZP67EUGHC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Another Mass Gap in the BTZ Geometry?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Robert B. Mann, Sean Stotyn","submitted_at":"2012-03-01T15:32:08Z","abstract_excerpt":"We attempt the construction of perturbative rotating hairy black holes and boson stars, invariant under a single helical Killing field, in 2+1-dimensions to complete the perturbative analysis in arbitrary odd dimension recently put forth in \\cite{Stotyn:2011ns}. Unlike the higher dimensional cases, we find evidence for the non-existence of hairy black holes in 2+1-dimensions in the perturbative regime, which is interpreted as another mass gap, within which the black holes cannot have hair. The boson star solutions face a similar impediment in the background of a conical singularity with a suff"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0214","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":"2026-05-18T01:58:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lGBvhYx6tXxw2dkkzHEVGKuSJhXkJlzSscLALw5dGWp4kzjZqN3rT13VR3mD2FFpFjs4yXER7O5kUkoiIOizCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:15:25.811728Z"},"content_sha256":"05268d0e3d21494889403897dfd543f2919d832fa80060270da6b904e29c41b4","schema_version":"1.0","event_id":"sha256:05268d0e3d21494889403897dfd543f2919d832fa80060270da6b904e29c41b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7VJPNBLFZ6AUHIRKLZP67EUGHC/bundle.json","state_url":"https://pith.science/pith/7VJPNBLFZ6AUHIRKLZP67EUGHC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7VJPNBLFZ6AUHIRKLZP67EUGHC/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":"2026-07-03T17:15:25Z","links":{"resolver":"https://pith.science/pith/7VJPNBLFZ6AUHIRKLZP67EUGHC","bundle":"https://pith.science/pith/7VJPNBLFZ6AUHIRKLZP67EUGHC/bundle.json","state":"https://pith.science/pith/7VJPNBLFZ6AUHIRKLZP67EUGHC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7VJPNBLFZ6AUHIRKLZP67EUGHC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7VJPNBLFZ6AUHIRKLZP67EUGHC","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":"49ebbb2b4011bfbfe40c56fd9e5826e0a923bec8564b318a6fe7c5b998cfc2cc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-01T15:32:08Z","title_canon_sha256":"1dc5e05e4cd9c1feeeba09272a6c1e9e93c1662ab8d3bb462e4c4f94561ccb7a"},"schema_version":"1.0","source":{"id":"1203.0214","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0214","created_at":"2026-05-18T01:58:17Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0214v2","created_at":"2026-05-18T01:58:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0214","created_at":"2026-05-18T01:58:17Z"},{"alias_kind":"pith_short_12","alias_value":"7VJPNBLFZ6AU","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7VJPNBLFZ6AUHIRK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7VJPNBLF","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:05268d0e3d21494889403897dfd543f2919d832fa80060270da6b904e29c41b4","target":"graph","created_at":"2026-05-18T01:58:17Z","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 attempt the construction of perturbative rotating hairy black holes and boson stars, invariant under a single helical Killing field, in 2+1-dimensions to complete the perturbative analysis in arbitrary odd dimension recently put forth in \\cite{Stotyn:2011ns}. Unlike the higher dimensional cases, we find evidence for the non-existence of hairy black holes in 2+1-dimensions in the perturbative regime, which is interpreted as another mass gap, within which the black holes cannot have hair. The boson star solutions face a similar impediment in the background of a conical singularity with a suff","authors_text":"Robert B. Mann, Sean Stotyn","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-01T15:32:08Z","title":"Another Mass Gap in the BTZ Geometry?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0214","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:a1ea2148768a2057e18cd6895b5d3d316edf276162182e7ed85c4ff6b353fcab","target":"record","created_at":"2026-05-18T01:58:17Z","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":"49ebbb2b4011bfbfe40c56fd9e5826e0a923bec8564b318a6fe7c5b998cfc2cc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-01T15:32:08Z","title_canon_sha256":"1dc5e05e4cd9c1feeeba09272a6c1e9e93c1662ab8d3bb462e4c4f94561ccb7a"},"schema_version":"1.0","source":{"id":"1203.0214","kind":"arxiv","version":2}},"canonical_sha256":"fd52f68565cf8143a22a5e5fef9286389d8f04d4e20355439e73fe9e566599b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd52f68565cf8143a22a5e5fef9286389d8f04d4e20355439e73fe9e566599b1","first_computed_at":"2026-05-18T01:58:17.810647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:17.810647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yRiY84biAFvo45OcdwAJ9GmK82qv9RG14dM4bkhAumSTKhaQO9OZjLllIG5pqNZrCVj1oH2EZxzNTlstx8ANBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:17.811092Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.0214","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1ea2148768a2057e18cd6895b5d3d316edf276162182e7ed85c4ff6b353fcab","sha256:05268d0e3d21494889403897dfd543f2919d832fa80060270da6b904e29c41b4"],"state_sha256":"656c61e8c1fc2c1d0ab7dc2ce6ef52f049304c6e7ee6dddbb2465ed3c1dde82f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6idlVwC8mn2yP4FblKLBVv6xv1GGdH97xnre/Yf8eIWnmfP20zlAd7QG59O40c5Y7yRD+bDKXG1PzpnTrZOkAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T17:15:25.813668Z","bundle_sha256":"4d1e22f7ace06f42297509f637f91dc41720f7c91212a81673491f0e4bdb7693"}}