{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RL6A6HFO3IAUO4UPL6L34GJ4XJ","short_pith_number":"pith:RL6A6HFO","schema_version":"1.0","canonical_sha256":"8afc0f1caeda0147728f5f97be193cba427c570dedac18d5a5b9c12015aae68c","source":{"kind":"arxiv","id":"1706.08643","version":1},"attestation_state":"computed","paper":{"title":"Mapping properties of a scale invariant Cassinian metric and a Gromov hyperbolic metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Manas Ranjan Mohapatra, Swadesh Kumar Sahoo","submitted_at":"2017-06-27T01:55:28Z","abstract_excerpt":"In this paper, we consider a scale invariant Cassinian metric and a Gromov hyperbolic metric. We discuss a distortion property of the scale invariant Cassinian metric under M\\\"obius maps of a punctured ball onto another punctured ball. We obtain a modulus of continuity of the identity map from a domain equipped with the scale invariant Cassinian metric (or the Gromov hyperbolic metric) onto the same domain equipped with the Euclidean metric. The quasi-invariance properties of both the metrics under quasiconformal maps are also established."},"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":"1706.08643","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-06-27T01:55:28Z","cross_cats_sorted":[],"title_canon_sha256":"1678ac742442d9f0906abe3ab19efdf353ac57419e74aeaebd0245ee86f84b66","abstract_canon_sha256":"ac53db99a1ea2c336779c2a4e0a36ac5948d945a6cf73226c2f1c4ae7aa4941a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:31.490674Z","signature_b64":"TWSqG06uzmb0ua59iDjumzqANMyVqHl6rCrbvKqKI9Eb+tIGEax258oCP/FdJWlv0+fSmiiDa9H7lteRV8j1BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8afc0f1caeda0147728f5f97be193cba427c570dedac18d5a5b9c12015aae68c","last_reissued_at":"2026-05-18T00:41:31.490024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:31.490024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mapping properties of a scale invariant Cassinian metric and a Gromov hyperbolic metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Manas Ranjan Mohapatra, Swadesh Kumar Sahoo","submitted_at":"2017-06-27T01:55:28Z","abstract_excerpt":"In this paper, we consider a scale invariant Cassinian metric and a Gromov hyperbolic metric. We discuss a distortion property of the scale invariant Cassinian metric under M\\\"obius maps of a punctured ball onto another punctured ball. We obtain a modulus of continuity of the identity map from a domain equipped with the scale invariant Cassinian metric (or the Gromov hyperbolic metric) onto the same domain equipped with the Euclidean metric. The quasi-invariance properties of both the metrics under quasiconformal maps are also established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08643","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":"1706.08643","created_at":"2026-05-18T00:41:31.490116+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.08643v1","created_at":"2026-05-18T00:41:31.490116+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08643","created_at":"2026-05-18T00:41:31.490116+00:00"},{"alias_kind":"pith_short_12","alias_value":"RL6A6HFO3IAU","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RL6A6HFO3IAUO4UP","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RL6A6HFO","created_at":"2026-05-18T12:31:39.905425+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/RL6A6HFO3IAUO4UPL6L34GJ4XJ","json":"https://pith.science/pith/RL6A6HFO3IAUO4UPL6L34GJ4XJ.json","graph_json":"https://pith.science/api/pith-number/RL6A6HFO3IAUO4UPL6L34GJ4XJ/graph.json","events_json":"https://pith.science/api/pith-number/RL6A6HFO3IAUO4UPL6L34GJ4XJ/events.json","paper":"https://pith.science/paper/RL6A6HFO"},"agent_actions":{"view_html":"https://pith.science/pith/RL6A6HFO3IAUO4UPL6L34GJ4XJ","download_json":"https://pith.science/pith/RL6A6HFO3IAUO4UPL6L34GJ4XJ.json","view_paper":"https://pith.science/paper/RL6A6HFO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.08643&json=true","fetch_graph":"https://pith.science/api/pith-number/RL6A6HFO3IAUO4UPL6L34GJ4XJ/graph.json","fetch_events":"https://pith.science/api/pith-number/RL6A6HFO3IAUO4UPL6L34GJ4XJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RL6A6HFO3IAUO4UPL6L34GJ4XJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RL6A6HFO3IAUO4UPL6L34GJ4XJ/action/storage_attestation","attest_author":"https://pith.science/pith/RL6A6HFO3IAUO4UPL6L34GJ4XJ/action/author_attestation","sign_citation":"https://pith.science/pith/RL6A6HFO3IAUO4UPL6L34GJ4XJ/action/citation_signature","submit_replication":"https://pith.science/pith/RL6A6HFO3IAUO4UPL6L34GJ4XJ/action/replication_record"}},"created_at":"2026-05-18T00:41:31.490116+00:00","updated_at":"2026-05-18T00:41:31.490116+00:00"}