{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XRDVKKE55JKIUMJUYAEDBZITZV","short_pith_number":"pith:XRDVKKE5","canonical_record":{"source":{"id":"1405.2181","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2014-05-09T09:16:16Z","cross_cats_sorted":[],"title_canon_sha256":"d675b5b7fdbd5f182e78285439910a192668f8f5f7dc52221c72d7feab944b99","abstract_canon_sha256":"81f0bb3744ff5b9b6ba8570bc49fac26ed3a0d8693dcdd69915e781249b4d21c"},"schema_version":"1.0"},"canonical_sha256":"bc4755289dea548a3134c00830e513cd5cfb0e09e02f2a638fc11bd4be7f826f","source":{"kind":"arxiv","id":"1405.2181","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2181","created_at":"2026-05-18T01:37:47Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2181v2","created_at":"2026-05-18T01:37:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2181","created_at":"2026-05-18T01:37:47Z"},{"alias_kind":"pith_short_12","alias_value":"XRDVKKE55JKI","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XRDVKKE55JKIUMJU","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XRDVKKE5","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XRDVKKE55JKIUMJUYAEDBZITZV","target":"record","payload":{"canonical_record":{"source":{"id":"1405.2181","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2014-05-09T09:16:16Z","cross_cats_sorted":[],"title_canon_sha256":"d675b5b7fdbd5f182e78285439910a192668f8f5f7dc52221c72d7feab944b99","abstract_canon_sha256":"81f0bb3744ff5b9b6ba8570bc49fac26ed3a0d8693dcdd69915e781249b4d21c"},"schema_version":"1.0"},"canonical_sha256":"bc4755289dea548a3134c00830e513cd5cfb0e09e02f2a638fc11bd4be7f826f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:47.528264Z","signature_b64":"vM2vbmVvVtsW1uI9X8UK8LTSHCbCDTYhXpQrgsbwO75H4Whajy6NyNf/uz51gsAT9ntVStgjCcAlKO6xxSu7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc4755289dea548a3134c00830e513cd5cfb0e09e02f2a638fc11bd4be7f826f","last_reissued_at":"2026-05-18T01:37:47.527799Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:47.527799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.2181","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oyp/pZavPybtfH/vaT8oqmbLaXzz2ljIGmVLzJt5M+UQMYfuQWxqrOKKBwpJ1awRne+CtiaKCYX8DTym4W9ICw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:37:41.692491Z"},"content_sha256":"171adea296b0887e52464824bee0bae6c0b02d87209f5a371418407ed3227d6f","schema_version":"1.0","event_id":"sha256:171adea296b0887e52464824bee0bae6c0b02d87209f5a371418407ed3227d6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XRDVKKE55JKIUMJUYAEDBZITZV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On pseudosymmetric manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Absos Ali Shaikh, Haradhan Kundu, Jan Jelwicki, Marin Hotlos, Ryszard Deszcz","submitted_at":"2014-05-09T09:16:16Z","abstract_excerpt":"In the literature, there are two different notions of pseudosymmetric manifolds, one by Chaki [7] and other by Deszcz [16], and there are many papers related to these notions. The object of the present paper is to deduce necessary and sufficient conditions for a Chaki pseudosymmetric [7] (resp. pseudo Ricci symmetric [8]) manifold to be Deszcz pseudosymmetric (resp. Ricci pseudosymmetric). We also study the necessary and sufficient conditions for a weakly symmetric [58] (resp. weakly Ricci symmetric [59]) manifold by Tam\\'assy and Binh to be Deszcz pseudosymmetric (resp. Ricci pseudosymmetric)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2181","kind":"arxiv","version":2},"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":"2026-05-18T01:37:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aC/bEVKL70rejAZl2ga8vfO3WCSoJ4q27nll7RZhY2x0MAl1L3uVdPEEOB3xKBy2y8dcGs9o768syi4xLwmACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:37:41.692963Z"},"content_sha256":"a0acf2eff86304beb2bfc607c600fa75dbd60f55e22344ebd72da77f54ba5826","schema_version":"1.0","event_id":"sha256:a0acf2eff86304beb2bfc607c600fa75dbd60f55e22344ebd72da77f54ba5826"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XRDVKKE55JKIUMJUYAEDBZITZV/bundle.json","state_url":"https://pith.science/pith/XRDVKKE55JKIUMJUYAEDBZITZV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XRDVKKE55JKIUMJUYAEDBZITZV/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":"2026-06-04T00:37:41Z","links":{"resolver":"https://pith.science/pith/XRDVKKE55JKIUMJUYAEDBZITZV","bundle":"https://pith.science/pith/XRDVKKE55JKIUMJUYAEDBZITZV/bundle.json","state":"https://pith.science/pith/XRDVKKE55JKIUMJUYAEDBZITZV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XRDVKKE55JKIUMJUYAEDBZITZV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XRDVKKE55JKIUMJUYAEDBZITZV","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":"81f0bb3744ff5b9b6ba8570bc49fac26ed3a0d8693dcdd69915e781249b4d21c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2014-05-09T09:16:16Z","title_canon_sha256":"d675b5b7fdbd5f182e78285439910a192668f8f5f7dc52221c72d7feab944b99"},"schema_version":"1.0","source":{"id":"1405.2181","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2181","created_at":"2026-05-18T01:37:47Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2181v2","created_at":"2026-05-18T01:37:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2181","created_at":"2026-05-18T01:37:47Z"},{"alias_kind":"pith_short_12","alias_value":"XRDVKKE55JKI","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XRDVKKE55JKIUMJU","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XRDVKKE5","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:a0acf2eff86304beb2bfc607c600fa75dbd60f55e22344ebd72da77f54ba5826","target":"graph","created_at":"2026-05-18T01:37:47Z","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":"In the literature, there are two different notions of pseudosymmetric manifolds, one by Chaki [7] and other by Deszcz [16], and there are many papers related to these notions. The object of the present paper is to deduce necessary and sufficient conditions for a Chaki pseudosymmetric [7] (resp. pseudo Ricci symmetric [8]) manifold to be Deszcz pseudosymmetric (resp. Ricci pseudosymmetric). We also study the necessary and sufficient conditions for a weakly symmetric [58] (resp. weakly Ricci symmetric [59]) manifold by Tam\\'assy and Binh to be Deszcz pseudosymmetric (resp. Ricci pseudosymmetric)","authors_text":"Absos Ali Shaikh, Haradhan Kundu, Jan Jelwicki, Marin Hotlos, Ryszard Deszcz","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2014-05-09T09:16:16Z","title":"On pseudosymmetric manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2181","kind":"arxiv","version":2},"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":"sha256:171adea296b0887e52464824bee0bae6c0b02d87209f5a371418407ed3227d6f","target":"record","created_at":"2026-05-18T01:37:47Z","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":"81f0bb3744ff5b9b6ba8570bc49fac26ed3a0d8693dcdd69915e781249b4d21c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2014-05-09T09:16:16Z","title_canon_sha256":"d675b5b7fdbd5f182e78285439910a192668f8f5f7dc52221c72d7feab944b99"},"schema_version":"1.0","source":{"id":"1405.2181","kind":"arxiv","version":2}},"canonical_sha256":"bc4755289dea548a3134c00830e513cd5cfb0e09e02f2a638fc11bd4be7f826f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc4755289dea548a3134c00830e513cd5cfb0e09e02f2a638fc11bd4be7f826f","first_computed_at":"2026-05-18T01:37:47.527799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:47.527799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vM2vbmVvVtsW1uI9X8UK8LTSHCbCDTYhXpQrgsbwO75H4Whajy6NyNf/uz51gsAT9ntVStgjCcAlKO6xxSu7CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:47.528264Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2181","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:171adea296b0887e52464824bee0bae6c0b02d87209f5a371418407ed3227d6f","sha256:a0acf2eff86304beb2bfc607c600fa75dbd60f55e22344ebd72da77f54ba5826"],"state_sha256":"f91bf6d21df4f8e3a08ca79075596f753071c4be07289b3f237e6e77adb2f323"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kMSjh19FJv/8ojsUBL3FvpYzzWWeFFsVjoPaxxZSv6FkW/QSBkVet7lSUy7FJCxbnphG2StaFzHjhhvuaZ4BCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T00:37:41.696285Z","bundle_sha256":"d1acc42a9cbf80682c2062f2887971f71389bf3f39f8057e7d96afeef6328a03"}}