{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:IIOSDMOQ3JVQVDOWXFXAEVRFBW","short_pith_number":"pith:IIOSDMOQ","schema_version":"1.0","canonical_sha256":"421d21b1d0da6b0a8dd6b96e0256250db50b6b94d7b90849eff0f370a72d778e","source":{"kind":"arxiv","id":"1010.4268","version":1},"attestation_state":"computed","paper":{"title":"Invariants of the harmonic conformal class of an asymptotically flat manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jeffrey L. Jauregui","submitted_at":"2010-10-20T18:25:16Z","abstract_excerpt":"Consider an asymptotically flat Riemannian manifold $(M,g)$ of dimension $n \\geq 3$ with nonempty compact boundary. We recall the harmonic conformal class $[g]_h$ of the metric, which consists of all conformal rescalings given by a harmonic function raised to an appropriate power. The geometric significance is that every metric in $[g]_h$ has the same pointwise sign of scalar curvature. For this reason, the harmonic conformal class appears in the study of general relativity, where scalar curvature is related to energy density. Our purpose is to introduce and study invariants of the harmonic co"},"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":"1010.4268","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-20T18:25:16Z","cross_cats_sorted":[],"title_canon_sha256":"f27569e44f336d8bed7f621d5157f5956cccc60689b37b3ccd8b592582f1365a","abstract_canon_sha256":"f8dbae94ef2716f377f77550d315e8e953f861c044c55222f768b07905dc1a90"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:58.794533Z","signature_b64":"DcOfoiamazXz0FzGN2A9YWDbfcxurWH/l9t1zCSCHljXMGTwHKbfmI6g8FlP0utp64kIxRGO2jH6b76p9PZ+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"421d21b1d0da6b0a8dd6b96e0256250db50b6b94d7b90849eff0f370a72d778e","last_reissued_at":"2026-05-18T03:51:58.793765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:58.793765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariants of the harmonic conformal class of an asymptotically flat manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jeffrey L. Jauregui","submitted_at":"2010-10-20T18:25:16Z","abstract_excerpt":"Consider an asymptotically flat Riemannian manifold $(M,g)$ of dimension $n \\geq 3$ with nonempty compact boundary. We recall the harmonic conformal class $[g]_h$ of the metric, which consists of all conformal rescalings given by a harmonic function raised to an appropriate power. The geometric significance is that every metric in $[g]_h$ has the same pointwise sign of scalar curvature. For this reason, the harmonic conformal class appears in the study of general relativity, where scalar curvature is related to energy density. Our purpose is to introduce and study invariants of the harmonic co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4268","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":"1010.4268","created_at":"2026-05-18T03:51:58.793894+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.4268v1","created_at":"2026-05-18T03:51:58.793894+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4268","created_at":"2026-05-18T03:51:58.793894+00:00"},{"alias_kind":"pith_short_12","alias_value":"IIOSDMOQ3JVQ","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"IIOSDMOQ3JVQVDOW","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"IIOSDMOQ","created_at":"2026-05-18T12:26:09.077623+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/IIOSDMOQ3JVQVDOWXFXAEVRFBW","json":"https://pith.science/pith/IIOSDMOQ3JVQVDOWXFXAEVRFBW.json","graph_json":"https://pith.science/api/pith-number/IIOSDMOQ3JVQVDOWXFXAEVRFBW/graph.json","events_json":"https://pith.science/api/pith-number/IIOSDMOQ3JVQVDOWXFXAEVRFBW/events.json","paper":"https://pith.science/paper/IIOSDMOQ"},"agent_actions":{"view_html":"https://pith.science/pith/IIOSDMOQ3JVQVDOWXFXAEVRFBW","download_json":"https://pith.science/pith/IIOSDMOQ3JVQVDOWXFXAEVRFBW.json","view_paper":"https://pith.science/paper/IIOSDMOQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.4268&json=true","fetch_graph":"https://pith.science/api/pith-number/IIOSDMOQ3JVQVDOWXFXAEVRFBW/graph.json","fetch_events":"https://pith.science/api/pith-number/IIOSDMOQ3JVQVDOWXFXAEVRFBW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IIOSDMOQ3JVQVDOWXFXAEVRFBW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IIOSDMOQ3JVQVDOWXFXAEVRFBW/action/storage_attestation","attest_author":"https://pith.science/pith/IIOSDMOQ3JVQVDOWXFXAEVRFBW/action/author_attestation","sign_citation":"https://pith.science/pith/IIOSDMOQ3JVQVDOWXFXAEVRFBW/action/citation_signature","submit_replication":"https://pith.science/pith/IIOSDMOQ3JVQVDOWXFXAEVRFBW/action/replication_record"}},"created_at":"2026-05-18T03:51:58.793894+00:00","updated_at":"2026-05-18T03:51:58.793894+00:00"}