{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NH4NB7Q4SBDO5XBVNJACZDQKWI","short_pith_number":"pith:NH4NB7Q4","schema_version":"1.0","canonical_sha256":"69f8d0fe1c9046eedc356a402c8e0ab21b4f46f8b9b02c122de2deaa6d5f1699","source":{"kind":"arxiv","id":"1403.3960","version":1},"attestation_state":"computed","paper":{"title":"Injectivity radius bound and good leaf foliation in 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Li Ma","submitted_at":"2014-03-16T20:41:29Z","abstract_excerpt":"In this short note, we study the injectivity radius bound for three dimensional complete and non-compact Riemannian manifold with good leaf foliations and with bounded curvature up to first order. We obtain the injectivity bound by using the minimal surface theory and the Gauss-Bonnet theorem."},"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":"1403.3960","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-03-16T20:41:29Z","cross_cats_sorted":[],"title_canon_sha256":"cebd50ff0aaade57fc55fb194abae83deed05a2fd3f14902de6e90d72f3cb075","abstract_canon_sha256":"53943554c87072298d978475288701793281904c1fb5010d7465c72491cdeb49"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:13.071746Z","signature_b64":"6XEUdXqWd6ubRZMUjcranRAdMjY3D3aYc8n06adk/TFNPAEasRIXPzvOd6CgBF4TbO8uJtx29SGicc4DfFXADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69f8d0fe1c9046eedc356a402c8e0ab21b4f46f8b9b02c122de2deaa6d5f1699","last_reissued_at":"2026-05-18T02:56:13.071257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:13.071257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Injectivity radius bound and good leaf foliation in 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Li Ma","submitted_at":"2014-03-16T20:41:29Z","abstract_excerpt":"In this short note, we study the injectivity radius bound for three dimensional complete and non-compact Riemannian manifold with good leaf foliations and with bounded curvature up to first order. We obtain the injectivity bound by using the minimal surface theory and the Gauss-Bonnet theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3960","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":"1403.3960","created_at":"2026-05-18T02:56:13.071332+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.3960v1","created_at":"2026-05-18T02:56:13.071332+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3960","created_at":"2026-05-18T02:56:13.071332+00:00"},{"alias_kind":"pith_short_12","alias_value":"NH4NB7Q4SBDO","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NH4NB7Q4SBDO5XBV","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NH4NB7Q4","created_at":"2026-05-18T12:28:41.024544+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/NH4NB7Q4SBDO5XBVNJACZDQKWI","json":"https://pith.science/pith/NH4NB7Q4SBDO5XBVNJACZDQKWI.json","graph_json":"https://pith.science/api/pith-number/NH4NB7Q4SBDO5XBVNJACZDQKWI/graph.json","events_json":"https://pith.science/api/pith-number/NH4NB7Q4SBDO5XBVNJACZDQKWI/events.json","paper":"https://pith.science/paper/NH4NB7Q4"},"agent_actions":{"view_html":"https://pith.science/pith/NH4NB7Q4SBDO5XBVNJACZDQKWI","download_json":"https://pith.science/pith/NH4NB7Q4SBDO5XBVNJACZDQKWI.json","view_paper":"https://pith.science/paper/NH4NB7Q4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.3960&json=true","fetch_graph":"https://pith.science/api/pith-number/NH4NB7Q4SBDO5XBVNJACZDQKWI/graph.json","fetch_events":"https://pith.science/api/pith-number/NH4NB7Q4SBDO5XBVNJACZDQKWI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NH4NB7Q4SBDO5XBVNJACZDQKWI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NH4NB7Q4SBDO5XBVNJACZDQKWI/action/storage_attestation","attest_author":"https://pith.science/pith/NH4NB7Q4SBDO5XBVNJACZDQKWI/action/author_attestation","sign_citation":"https://pith.science/pith/NH4NB7Q4SBDO5XBVNJACZDQKWI/action/citation_signature","submit_replication":"https://pith.science/pith/NH4NB7Q4SBDO5XBVNJACZDQKWI/action/replication_record"}},"created_at":"2026-05-18T02:56:13.071332+00:00","updated_at":"2026-05-18T02:56:13.071332+00:00"}