{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:XHOSSDG4T665OVFVHX46PZSZET","short_pith_number":"pith:XHOSSDG4","schema_version":"1.0","canonical_sha256":"b9dd290cdc9fbdd754b53df9e7e65924d57aecd984f7397a81a834885b9cc460","source":{"kind":"arxiv","id":"1604.05302","version":3},"attestation_state":"computed","paper":{"title":"Chen-Nester-Tung quasi-local energy and Wang-Yau quasi-local mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Chengjie Yu, Jian-Liang Liu","submitted_at":"2016-04-18T04:41:11Z","abstract_excerpt":"In this paper, we show that the Chen-Nester-Tung (CNT) quasi-local energy is closely related to the Wang-Yau (WY) quasi-local mass. As a particular example, we compute the second variation of the CNT quasi-local energy for axially symmetric Kerr-like spacetimes with axially symmetric embeddings at the obvious critical point (0,0) and find that it is a saddle critical point in most of the cases. Also, as a byproduct, we generalize a previous result about the coincidence of CNT quasi-local energy and Brown-York mass for Kerr-like spacetimes by Tam and the first author to general spacetimes."},"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":"1604.05302","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-04-18T04:41:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8e3442ac3ed93fe175b78b54be734c579a7ce0a0a12732e187180bd825b84747","abstract_canon_sha256":"7dd99b21ecdc2d4d302af8754c76a339df37619cece87ced00f7e9e8d4dfc528"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:35.794842Z","signature_b64":"Ag34MHJ5W7ZxIiVMYnPbw6VZUvf1otuDvag1YOakyvsBJssW/z7V79uY1fDYC/AIdZHm9iLuPxAF4MNrHCBBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9dd290cdc9fbdd754b53df9e7e65924d57aecd984f7397a81a834885b9cc460","last_reissued_at":"2026-05-18T00:35:35.794220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:35.794220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chen-Nester-Tung quasi-local energy and Wang-Yau quasi-local mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Chengjie Yu, Jian-Liang Liu","submitted_at":"2016-04-18T04:41:11Z","abstract_excerpt":"In this paper, we show that the Chen-Nester-Tung (CNT) quasi-local energy is closely related to the Wang-Yau (WY) quasi-local mass. As a particular example, we compute the second variation of the CNT quasi-local energy for axially symmetric Kerr-like spacetimes with axially symmetric embeddings at the obvious critical point (0,0) and find that it is a saddle critical point in most of the cases. Also, as a byproduct, we generalize a previous result about the coincidence of CNT quasi-local energy and Brown-York mass for Kerr-like spacetimes by Tam and the first author to general spacetimes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05302","kind":"arxiv","version":3},"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":"1604.05302","created_at":"2026-05-18T00:35:35.794403+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.05302v3","created_at":"2026-05-18T00:35:35.794403+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05302","created_at":"2026-05-18T00:35:35.794403+00:00"},{"alias_kind":"pith_short_12","alias_value":"XHOSSDG4T665","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"XHOSSDG4T665OVFV","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"XHOSSDG4","created_at":"2026-05-18T12:30:51.357362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XHOSSDG4T665OVFVHX46PZSZET","json":"https://pith.science/pith/XHOSSDG4T665OVFVHX46PZSZET.json","graph_json":"https://pith.science/api/pith-number/XHOSSDG4T665OVFVHX46PZSZET/graph.json","events_json":"https://pith.science/api/pith-number/XHOSSDG4T665OVFVHX46PZSZET/events.json","paper":"https://pith.science/paper/XHOSSDG4"},"agent_actions":{"view_html":"https://pith.science/pith/XHOSSDG4T665OVFVHX46PZSZET","download_json":"https://pith.science/pith/XHOSSDG4T665OVFVHX46PZSZET.json","view_paper":"https://pith.science/paper/XHOSSDG4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.05302&json=true","fetch_graph":"https://pith.science/api/pith-number/XHOSSDG4T665OVFVHX46PZSZET/graph.json","fetch_events":"https://pith.science/api/pith-number/XHOSSDG4T665OVFVHX46PZSZET/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XHOSSDG4T665OVFVHX46PZSZET/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XHOSSDG4T665OVFVHX46PZSZET/action/storage_attestation","attest_author":"https://pith.science/pith/XHOSSDG4T665OVFVHX46PZSZET/action/author_attestation","sign_citation":"https://pith.science/pith/XHOSSDG4T665OVFVHX46PZSZET/action/citation_signature","submit_replication":"https://pith.science/pith/XHOSSDG4T665OVFVHX46PZSZET/action/replication_record"}},"created_at":"2026-05-18T00:35:35.794403+00:00","updated_at":"2026-05-18T00:35:35.794403+00:00"}