{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QNWCWW64QTV4KKATDRKC2FMARV","short_pith_number":"pith:QNWCWW64","canonical_record":{"source":{"id":"1705.08574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-05-24T01:14:33Z","cross_cats_sorted":[],"title_canon_sha256":"166d028f737971a526c7fdb75d37c6c2b4fc8e449d604ed42ab22b19e93c65dc","abstract_canon_sha256":"f9a5c8fb1c2fecf3cc8c19bc9548f5ac7f04189a8287674c903154f270b54759"},"schema_version":"1.0"},"canonical_sha256":"836c2b5bdc84ebc528131c542d15808d620126583c4d4b546e40da208bad617f","source":{"kind":"arxiv","id":"1705.08574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08574","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08574v1","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08574","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"pith_short_12","alias_value":"QNWCWW64QTV4","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QNWCWW64QTV4KKAT","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QNWCWW64","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QNWCWW64QTV4KKATDRKC2FMARV","target":"record","payload":{"canonical_record":{"source":{"id":"1705.08574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-05-24T01:14:33Z","cross_cats_sorted":[],"title_canon_sha256":"166d028f737971a526c7fdb75d37c6c2b4fc8e449d604ed42ab22b19e93c65dc","abstract_canon_sha256":"f9a5c8fb1c2fecf3cc8c19bc9548f5ac7f04189a8287674c903154f270b54759"},"schema_version":"1.0"},"canonical_sha256":"836c2b5bdc84ebc528131c542d15808d620126583c4d4b546e40da208bad617f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:45.692912Z","signature_b64":"TLIDgmXiZIIzPrl8nma1JAS0D4BT6N8CDRd7zOlBghCTJYPIgWRQGD1EPJQyJcfgbb4SR3XL/TTyyLhSc24eBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"836c2b5bdc84ebc528131c542d15808d620126583c4d4b546e40da208bad617f","last_reissued_at":"2026-05-18T00:43:45.692444Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:45.692444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.08574","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:43:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IRvuwtYFz7HW2FE+DR0xKcxk7zG0jx0kdWrIWv7ehptQkQOoECrERhXaP0tqe8zLZUC8MZIo+HH2bYQvuloKCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T01:42:26.434806Z"},"content_sha256":"6f9c117c027d5fd4d2a85404e9e32c7d811bcb340b2547a118f1ca5441a74b7c","schema_version":"1.0","event_id":"sha256:6f9c117c027d5fd4d2a85404e9e32c7d811bcb340b2547a118f1ca5441a74b7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QNWCWW64QTV4KKATDRKC2FMARV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Gromov hyperbolic metric vs the hyperbolic and other related metrics","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":"2017-05-24T01:14:33Z","abstract_excerpt":"We mainly consider two metrics: a Gromov hyperbolic metric and a scale invariant Cassinian metric. We compare these two metrics and obtain their relationship with certain well-known hyperbolic-type metrics, leading to several inclusion relations between the associated metric balls."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08574","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:43:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/2mvpLEm4L3jc8DVc+8PXmErI0JUpGmWE3pE8+pkDENeDnTyllxSHycTywsC5QWmgC0sa3Bhh9R5pOPRraOiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T01:42:26.435539Z"},"content_sha256":"63b760484ce2a12d286ff3e15de9ea3cbe097159d758fe199471728545d17aba","schema_version":"1.0","event_id":"sha256:63b760484ce2a12d286ff3e15de9ea3cbe097159d758fe199471728545d17aba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QNWCWW64QTV4KKATDRKC2FMARV/bundle.json","state_url":"https://pith.science/pith/QNWCWW64QTV4KKATDRKC2FMARV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QNWCWW64QTV4KKATDRKC2FMARV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T01:42:26Z","links":{"resolver":"https://pith.science/pith/QNWCWW64QTV4KKATDRKC2FMARV","bundle":"https://pith.science/pith/QNWCWW64QTV4KKATDRKC2FMARV/bundle.json","state":"https://pith.science/pith/QNWCWW64QTV4KKATDRKC2FMARV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QNWCWW64QTV4KKATDRKC2FMARV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QNWCWW64QTV4KKATDRKC2FMARV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f9a5c8fb1c2fecf3cc8c19bc9548f5ac7f04189a8287674c903154f270b54759","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-05-24T01:14:33Z","title_canon_sha256":"166d028f737971a526c7fdb75d37c6c2b4fc8e449d604ed42ab22b19e93c65dc"},"schema_version":"1.0","source":{"id":"1705.08574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08574","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08574v1","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08574","created_at":"2026-05-18T00:43:45Z"},{"alias_kind":"pith_short_12","alias_value":"QNWCWW64QTV4","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QNWCWW64QTV4KKAT","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QNWCWW64","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:63b760484ce2a12d286ff3e15de9ea3cbe097159d758fe199471728545d17aba","target":"graph","created_at":"2026-05-18T00:43:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We mainly consider two metrics: a Gromov hyperbolic metric and a scale invariant Cassinian metric. We compare these two metrics and obtain their relationship with certain well-known hyperbolic-type metrics, leading to several inclusion relations between the associated metric balls.","authors_text":"Manas Ranjan Mohapatra, Swadesh Kumar Sahoo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-05-24T01:14:33Z","title":"A Gromov hyperbolic metric vs the hyperbolic and other related metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08574","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6f9c117c027d5fd4d2a85404e9e32c7d811bcb340b2547a118f1ca5441a74b7c","target":"record","created_at":"2026-05-18T00:43:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f9a5c8fb1c2fecf3cc8c19bc9548f5ac7f04189a8287674c903154f270b54759","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2017-05-24T01:14:33Z","title_canon_sha256":"166d028f737971a526c7fdb75d37c6c2b4fc8e449d604ed42ab22b19e93c65dc"},"schema_version":"1.0","source":{"id":"1705.08574","kind":"arxiv","version":1}},"canonical_sha256":"836c2b5bdc84ebc528131c542d15808d620126583c4d4b546e40da208bad617f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"836c2b5bdc84ebc528131c542d15808d620126583c4d4b546e40da208bad617f","first_computed_at":"2026-05-18T00:43:45.692444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:45.692444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TLIDgmXiZIIzPrl8nma1JAS0D4BT6N8CDRd7zOlBghCTJYPIgWRQGD1EPJQyJcfgbb4SR3XL/TTyyLhSc24eBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:45.692912Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f9c117c027d5fd4d2a85404e9e32c7d811bcb340b2547a118f1ca5441a74b7c","sha256:63b760484ce2a12d286ff3e15de9ea3cbe097159d758fe199471728545d17aba"],"state_sha256":"72bbeedbdad9c262058f0449dc6ee79e9b9022187f0815a881b195613f4d792c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OATK2dk/yhE5ALs0UgyPmnEDqGXHIER2d+03ZNJAMaHSBJZf2zOa/UXO38oSxu502WxZCGhCE+2VvizYHcx9Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T01:42:26.439004Z","bundle_sha256":"819bfb4e978ad380060be750af49f308584da3b3a73b19539cb84cf61c6cca25"}}