{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4XGIKMSWYBUEE766UWFW66XPVO","short_pith_number":"pith:4XGIKMSW","schema_version":"1.0","canonical_sha256":"e5cc853256c068427fdea58b6f7aefaba1a435d1bdfa98720c3393ad2e4909da","source":{"kind":"arxiv","id":"1707.03087","version":1},"attestation_state":"computed","paper":{"title":"Volume growth and puncture repair in conformal geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"A. Rod Gover, Michael G. Eastwood","submitted_at":"2017-07-11T00:25:11Z","abstract_excerpt":"Suppose $M$ is a compact Riemannian manifold and $p\\in M$ an arbitrary point. We employ estimates on the volume growth around $p$ to prove that the only conformal compactification of $M\\setminus\\{p\\}$ is $M$ itself."},"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":"1707.03087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-07-11T00:25:11Z","cross_cats_sorted":[],"title_canon_sha256":"9b66b68b26745248a3d8e89bfc8ae6883864391dab1ee713822e0e1e6762327e","abstract_canon_sha256":"94353a0bf25601e6a5f8dc5810309ca293545303943d43a1fdadbb202489c96a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:27.708773Z","signature_b64":"ehADE2cBZukffGxfoZ1jN4GY+5AqyusJAO49tjtbpv8lIYGP+9/HH9oZKpL+F2RcBfp5VGhDaf64nkzGselqDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5cc853256c068427fdea58b6f7aefaba1a435d1bdfa98720c3393ad2e4909da","last_reissued_at":"2026-05-18T00:19:27.708113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:27.708113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Volume growth and puncture repair in conformal geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"A. Rod Gover, Michael G. Eastwood","submitted_at":"2017-07-11T00:25:11Z","abstract_excerpt":"Suppose $M$ is a compact Riemannian manifold and $p\\in M$ an arbitrary point. We employ estimates on the volume growth around $p$ to prove that the only conformal compactification of $M\\setminus\\{p\\}$ is $M$ itself."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03087","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":"1707.03087","created_at":"2026-05-18T00:19:27.708203+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.03087v1","created_at":"2026-05-18T00:19:27.708203+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03087","created_at":"2026-05-18T00:19:27.708203+00:00"},{"alias_kind":"pith_short_12","alias_value":"4XGIKMSWYBUE","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4XGIKMSWYBUEE766","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4XGIKMSW","created_at":"2026-05-18T12:31:00.734936+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/4XGIKMSWYBUEE766UWFW66XPVO","json":"https://pith.science/pith/4XGIKMSWYBUEE766UWFW66XPVO.json","graph_json":"https://pith.science/api/pith-number/4XGIKMSWYBUEE766UWFW66XPVO/graph.json","events_json":"https://pith.science/api/pith-number/4XGIKMSWYBUEE766UWFW66XPVO/events.json","paper":"https://pith.science/paper/4XGIKMSW"},"agent_actions":{"view_html":"https://pith.science/pith/4XGIKMSWYBUEE766UWFW66XPVO","download_json":"https://pith.science/pith/4XGIKMSWYBUEE766UWFW66XPVO.json","view_paper":"https://pith.science/paper/4XGIKMSW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.03087&json=true","fetch_graph":"https://pith.science/api/pith-number/4XGIKMSWYBUEE766UWFW66XPVO/graph.json","fetch_events":"https://pith.science/api/pith-number/4XGIKMSWYBUEE766UWFW66XPVO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4XGIKMSWYBUEE766UWFW66XPVO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4XGIKMSWYBUEE766UWFW66XPVO/action/storage_attestation","attest_author":"https://pith.science/pith/4XGIKMSWYBUEE766UWFW66XPVO/action/author_attestation","sign_citation":"https://pith.science/pith/4XGIKMSWYBUEE766UWFW66XPVO/action/citation_signature","submit_replication":"https://pith.science/pith/4XGIKMSWYBUEE766UWFW66XPVO/action/replication_record"}},"created_at":"2026-05-18T00:19:27.708203+00:00","updated_at":"2026-05-18T00:19:27.708203+00:00"}