{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:MMWE4YGDKLY4RWIYOJZ5X4W2JR","short_pith_number":"pith:MMWE4YGD","schema_version":"1.0","canonical_sha256":"632c4e60c352f1c8d9187273dbf2da4c4f9d0bbc1b2effa83a1a747f66e646c0","source":{"kind":"arxiv","id":"2112.05608","version":2},"attestation_state":"computed","paper":{"title":"Charges and Fluxes on (Perturbed) Non-expanding Horizons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abhay Ashtekar, Jerzy lewandowski, Maciej Kolanowski, Neev Khera","submitted_at":"2021-12-10T15:40:51Z","abstract_excerpt":"In a companion paper we showed that the symmetry group $\\mathfrak{G}$ of non-expanding horizons (NEHs) is a 1-dimensional extension of the Bondi-Metzner-Sachs group $\\mathfrak{G}$ at $\\mathcal{I}^{+}$. For each infinitesimal generator of $\\mathfrak{G}$, we now define a charge and a flux on NEHs as well as perturbed NEHs. The procedure uses the covariant phase space framework in presence of internal null boundaries $\\mathcal{N}$. However, $\\mathcal{N}$ is required to be an NEH or a perturbed NEH. Consequently, charges and fluxes associated with generators of $\\mathfrak{G}$ are free of physicall"},"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":"2112.05608","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-12-10T15:40:51Z","cross_cats_sorted":[],"title_canon_sha256":"51e57762274b2e04f6c873aafb117bc2e28a5b72cd26027933a4ac933db8e23f","abstract_canon_sha256":"7613c71dd99eda268b935c90bb8b50c338d2b8cc7a17dd7fd5317880c5b90af9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:01:05.914840Z","signature_b64":"2zKYrvJzrfA6i8LeWOxTOPus8kDInsRQ7cNWaXWztwgVMVc8SKQJaSsU+HDCLTjxWMM6wyOxwThd9h900j8GDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"632c4e60c352f1c8d9187273dbf2da4c4f9d0bbc1b2effa83a1a747f66e646c0","last_reissued_at":"2026-07-05T04:01:05.914377Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:01:05.914377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Charges and Fluxes on (Perturbed) Non-expanding Horizons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abhay Ashtekar, Jerzy lewandowski, Maciej Kolanowski, Neev Khera","submitted_at":"2021-12-10T15:40:51Z","abstract_excerpt":"In a companion paper we showed that the symmetry group $\\mathfrak{G}$ of non-expanding horizons (NEHs) is a 1-dimensional extension of the Bondi-Metzner-Sachs group $\\mathfrak{G}$ at $\\mathcal{I}^{+}$. For each infinitesimal generator of $\\mathfrak{G}$, we now define a charge and a flux on NEHs as well as perturbed NEHs. The procedure uses the covariant phase space framework in presence of internal null boundaries $\\mathcal{N}$. However, $\\mathcal{N}$ is required to be an NEH or a perturbed NEH. Consequently, charges and fluxes associated with generators of $\\mathfrak{G}$ are free of physicall"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.05608","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/2112.05608/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2112.05608","created_at":"2026-07-05T04:01:05.914436+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.05608v2","created_at":"2026-07-05T04:01:05.914436+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.05608","created_at":"2026-07-05T04:01:05.914436+00:00"},{"alias_kind":"pith_short_12","alias_value":"MMWE4YGDKLY4","created_at":"2026-07-05T04:01:05.914436+00:00"},{"alias_kind":"pith_short_16","alias_value":"MMWE4YGDKLY4RWIY","created_at":"2026-07-05T04:01:05.914436+00:00"},{"alias_kind":"pith_short_8","alias_value":"MMWE4YGD","created_at":"2026-07-05T04:01:05.914436+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.10874","citing_title":"Cusp Formation in Merging Black Hole Horizons","ref_index":54,"is_internal_anchor":false},{"citing_arxiv_id":"2605.10874","citing_title":"Cusp Formation in Merging Black Hole Horizons","ref_index":54,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MMWE4YGDKLY4RWIYOJZ5X4W2JR","json":"https://pith.science/pith/MMWE4YGDKLY4RWIYOJZ5X4W2JR.json","graph_json":"https://pith.science/api/pith-number/MMWE4YGDKLY4RWIYOJZ5X4W2JR/graph.json","events_json":"https://pith.science/api/pith-number/MMWE4YGDKLY4RWIYOJZ5X4W2JR/events.json","paper":"https://pith.science/paper/MMWE4YGD"},"agent_actions":{"view_html":"https://pith.science/pith/MMWE4YGDKLY4RWIYOJZ5X4W2JR","download_json":"https://pith.science/pith/MMWE4YGDKLY4RWIYOJZ5X4W2JR.json","view_paper":"https://pith.science/paper/MMWE4YGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.05608&json=true","fetch_graph":"https://pith.science/api/pith-number/MMWE4YGDKLY4RWIYOJZ5X4W2JR/graph.json","fetch_events":"https://pith.science/api/pith-number/MMWE4YGDKLY4RWIYOJZ5X4W2JR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MMWE4YGDKLY4RWIYOJZ5X4W2JR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MMWE4YGDKLY4RWIYOJZ5X4W2JR/action/storage_attestation","attest_author":"https://pith.science/pith/MMWE4YGDKLY4RWIYOJZ5X4W2JR/action/author_attestation","sign_citation":"https://pith.science/pith/MMWE4YGDKLY4RWIYOJZ5X4W2JR/action/citation_signature","submit_replication":"https://pith.science/pith/MMWE4YGDKLY4RWIYOJZ5X4W2JR/action/replication_record"}},"created_at":"2026-07-05T04:01:05.914436+00:00","updated_at":"2026-07-05T04:01:05.914436+00:00"}