{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CEXXADR6HAAMWEGBQNFW6IQ7G6","short_pith_number":"pith:CEXXADR6","schema_version":"1.0","canonical_sha256":"112f700e3e3800cb10c1834b6f221f37ab7e6c6f75a17e77b05c28e3e0ef6762","source":{"kind":"arxiv","id":"1603.04824","version":1},"attestation_state":"computed","paper":{"title":"Soft Heisenberg hair on black holes in three dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alfredo Perez, Daniel Grumiller, David Tempo, Hamid Afshar, Ricardo Troncoso, Stephane Detournay, Wout Merbis","submitted_at":"2016-03-15T19:18:50Z","abstract_excerpt":"Three-dimensional Einstein gravity with negative cosmological constant admits stationary black holes that are not necessarily spherically symmetric. We propose boundary conditions for the near horizon region of these black holes that lead to a surprisingly simple near horizon symmetry algebra consisting of two affine u(1) current algebras. The symmetry algebra is essentially equivalent to the Heisenberg algebra. The associated charges give a specific example of \"soft hair\" on the horizon, as defined by Hawking, Perry and Strominger. We show that soft hair does not contribute to the Bekenstein-"},"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":"1603.04824","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-15T19:18:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6114f9c382de529c8508af29d183398a5638ee9115134cc355d8231adff8b7d4","abstract_canon_sha256":"9792a0633d28df40a4b1300b179e20ebbea67b010be63ef51bc187b666b61aa9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:54.099560Z","signature_b64":"Z2QXEGHAJPbkM3GUiBkoL90ZEYRoUVUCZYLBC2hjFaq8G4etsUq8nltArl/L02Tv/wRTQsHrGEVBBxSIAxUnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"112f700e3e3800cb10c1834b6f221f37ab7e6c6f75a17e77b05c28e3e0ef6762","last_reissued_at":"2026-05-18T01:13:54.098791Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:54.098791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Soft Heisenberg hair on black holes in three dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alfredo Perez, Daniel Grumiller, David Tempo, Hamid Afshar, Ricardo Troncoso, Stephane Detournay, Wout Merbis","submitted_at":"2016-03-15T19:18:50Z","abstract_excerpt":"Three-dimensional Einstein gravity with negative cosmological constant admits stationary black holes that are not necessarily spherically symmetric. We propose boundary conditions for the near horizon region of these black holes that lead to a surprisingly simple near horizon symmetry algebra consisting of two affine u(1) current algebras. The symmetry algebra is essentially equivalent to the Heisenberg algebra. The associated charges give a specific example of \"soft hair\" on the horizon, as defined by Hawking, Perry and Strominger. We show that soft hair does not contribute to the Bekenstein-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04824","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1603.04824","created_at":"2026-05-18T01:13:54.098907+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.04824v1","created_at":"2026-05-18T01:13:54.098907+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04824","created_at":"2026-05-18T01:13:54.098907+00:00"},{"alias_kind":"pith_short_12","alias_value":"CEXXADR6HAAM","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CEXXADR6HAAMWEGB","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CEXXADR6","created_at":"2026-05-18T12:30:09.641336+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2412.13932","citing_title":"Algebraic Realisation of the Zamolodchikov Metric in Narain Theories","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2605.15293","citing_title":"Dimensional reduction of AdS3 Chern-Simons gravity: Schwarzian and affine boundary theories","ref_index":39,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CEXXADR6HAAMWEGBQNFW6IQ7G6","json":"https://pith.science/pith/CEXXADR6HAAMWEGBQNFW6IQ7G6.json","graph_json":"https://pith.science/api/pith-number/CEXXADR6HAAMWEGBQNFW6IQ7G6/graph.json","events_json":"https://pith.science/api/pith-number/CEXXADR6HAAMWEGBQNFW6IQ7G6/events.json","paper":"https://pith.science/paper/CEXXADR6"},"agent_actions":{"view_html":"https://pith.science/pith/CEXXADR6HAAMWEGBQNFW6IQ7G6","download_json":"https://pith.science/pith/CEXXADR6HAAMWEGBQNFW6IQ7G6.json","view_paper":"https://pith.science/paper/CEXXADR6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.04824&json=true","fetch_graph":"https://pith.science/api/pith-number/CEXXADR6HAAMWEGBQNFW6IQ7G6/graph.json","fetch_events":"https://pith.science/api/pith-number/CEXXADR6HAAMWEGBQNFW6IQ7G6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CEXXADR6HAAMWEGBQNFW6IQ7G6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CEXXADR6HAAMWEGBQNFW6IQ7G6/action/storage_attestation","attest_author":"https://pith.science/pith/CEXXADR6HAAMWEGBQNFW6IQ7G6/action/author_attestation","sign_citation":"https://pith.science/pith/CEXXADR6HAAMWEGBQNFW6IQ7G6/action/citation_signature","submit_replication":"https://pith.science/pith/CEXXADR6HAAMWEGBQNFW6IQ7G6/action/replication_record"}},"created_at":"2026-05-18T01:13:54.098907+00:00","updated_at":"2026-05-18T01:13:54.098907+00:00"}