{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:CSCDMNGWKLSTWVCJ4LWQFYOBUT","short_pith_number":"pith:CSCDMNGW","canonical_record":{"source":{"id":"1411.6416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-24T11:41:15Z","cross_cats_sorted":[],"title_canon_sha256":"b942d8b2c352db8ed7944ac120d7a56732f45d304d5efc53268f8f00dfd02fbb","abstract_canon_sha256":"4c1aac8b336659611b3aff47ecf7964e7639292695795a9951e1e40af95ed2f7"},"schema_version":"1.0"},"canonical_sha256":"14843634d652e53b5449e2ed02e1c1a4c46fea65cb7963ff1ce9c9c60a9c231c","source":{"kind":"arxiv","id":"1411.6416","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6416","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6416v2","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6416","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"CSCDMNGWKLST","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CSCDMNGWKLSTWVCJ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CSCDMNGW","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:CSCDMNGWKLSTWVCJ4LWQFYOBUT","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-24T11:41:15Z","cross_cats_sorted":[],"title_canon_sha256":"b942d8b2c352db8ed7944ac120d7a56732f45d304d5efc53268f8f00dfd02fbb","abstract_canon_sha256":"4c1aac8b336659611b3aff47ecf7964e7639292695795a9951e1e40af95ed2f7"},"schema_version":"1.0"},"canonical_sha256":"14843634d652e53b5449e2ed02e1c1a4c46fea65cb7963ff1ce9c9c60a9c231c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:11.684245Z","signature_b64":"TBgsC3p9WyQvlQsnksD3Zf8JHdLsMg857d6MKXzjLrSAz/ffb8aL9k5yBp+suNDGIXODrg5DiSCBtJarhMGxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14843634d652e53b5449e2ed02e1c1a4c46fea65cb7963ff1ce9c9c60a9c231c","last_reissued_at":"2026-05-18T02:17:11.683616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:11.683616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6416","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":"2026-05-18T02:17:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R++qdiFfD8AYsw8zO7f2QInOsGBCqlSMVqBZtAeTNmT5rBlWjHjknKVVOPYXVNEjUvUHAyd8xdH5rKVNnDnKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:39:51.884609Z"},"content_sha256":"de1d6bbc04545373caac180a7118b13060b117727029ee3f7b4894f1181ec484","schema_version":"1.0","event_id":"sha256:de1d6bbc04545373caac180a7118b13060b117727029ee3f7b4894f1181ec484"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:CSCDMNGWKLSTWVCJ4LWQFYOBUT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the H-almost ricci soliton","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Changyu Xia, J. N. Gomes, Qiaoling Wang","submitted_at":"2014-11-24T11:41:15Z","abstract_excerpt":"We introduce the concept {\\it $h$-almost Ricci soliton} which extends naturally the {\\it almost Ricci soliton} by Pigola-Rigoli-Rimoldi-Setti and show that a compact nontrivial $h$-almost Ricci soliton of dimension no less than three with $h$ having defined signal and constant scalar curvature is isometric to a standard sphere with the potential function well determined. We also consider the {\\it $h$-Ricci soliton} which is a particular case of the $h$-almost Ricci soliton and a generalization of the {\\it Ricci soliton} and give characterizations for a special class of gradient $h$-Ricci solit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6416","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":"2026-05-18T02:17:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"niMnuxx+tlBfWUc3FW0TLxanNuY13ibX+yp6kYfSSXBkO3ZxpS5ufC7uHNojsXpD7rreaJW3OF99kX/Ogb5MAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:39:51.884978Z"},"content_sha256":"efa4d70f8ee80c6778574f024c49e59bf1b7f034ee29ae8532b0ca5d0e2f4777","schema_version":"1.0","event_id":"sha256:efa4d70f8ee80c6778574f024c49e59bf1b7f034ee29ae8532b0ca5d0e2f4777"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CSCDMNGWKLSTWVCJ4LWQFYOBUT/bundle.json","state_url":"https://pith.science/pith/CSCDMNGWKLSTWVCJ4LWQFYOBUT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CSCDMNGWKLSTWVCJ4LWQFYOBUT/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":"2026-05-25T10:39:51Z","links":{"resolver":"https://pith.science/pith/CSCDMNGWKLSTWVCJ4LWQFYOBUT","bundle":"https://pith.science/pith/CSCDMNGWKLSTWVCJ4LWQFYOBUT/bundle.json","state":"https://pith.science/pith/CSCDMNGWKLSTWVCJ4LWQFYOBUT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CSCDMNGWKLSTWVCJ4LWQFYOBUT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CSCDMNGWKLSTWVCJ4LWQFYOBUT","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":"4c1aac8b336659611b3aff47ecf7964e7639292695795a9951e1e40af95ed2f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-24T11:41:15Z","title_canon_sha256":"b942d8b2c352db8ed7944ac120d7a56732f45d304d5efc53268f8f00dfd02fbb"},"schema_version":"1.0","source":{"id":"1411.6416","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6416","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6416v2","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6416","created_at":"2026-05-18T02:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"CSCDMNGWKLST","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CSCDMNGWKLSTWVCJ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CSCDMNGW","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:efa4d70f8ee80c6778574f024c49e59bf1b7f034ee29ae8532b0ca5d0e2f4777","target":"graph","created_at":"2026-05-18T02:17:11Z","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 introduce the concept {\\it $h$-almost Ricci soliton} which extends naturally the {\\it almost Ricci soliton} by Pigola-Rigoli-Rimoldi-Setti and show that a compact nontrivial $h$-almost Ricci soliton of dimension no less than three with $h$ having defined signal and constant scalar curvature is isometric to a standard sphere with the potential function well determined. We also consider the {\\it $h$-Ricci soliton} which is a particular case of the $h$-almost Ricci soliton and a generalization of the {\\it Ricci soliton} and give characterizations for a special class of gradient $h$-Ricci solit","authors_text":"Changyu Xia, J. N. Gomes, Qiaoling Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-24T11:41:15Z","title":"On the H-almost ricci soliton"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6416","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:de1d6bbc04545373caac180a7118b13060b117727029ee3f7b4894f1181ec484","target":"record","created_at":"2026-05-18T02:17:11Z","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":"4c1aac8b336659611b3aff47ecf7964e7639292695795a9951e1e40af95ed2f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-24T11:41:15Z","title_canon_sha256":"b942d8b2c352db8ed7944ac120d7a56732f45d304d5efc53268f8f00dfd02fbb"},"schema_version":"1.0","source":{"id":"1411.6416","kind":"arxiv","version":2}},"canonical_sha256":"14843634d652e53b5449e2ed02e1c1a4c46fea65cb7963ff1ce9c9c60a9c231c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14843634d652e53b5449e2ed02e1c1a4c46fea65cb7963ff1ce9c9c60a9c231c","first_computed_at":"2026-05-18T02:17:11.683616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:11.683616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TBgsC3p9WyQvlQsnksD3Zf8JHdLsMg857d6MKXzjLrSAz/ffb8aL9k5yBp+suNDGIXODrg5DiSCBtJarhMGxBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:11.684245Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6416","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de1d6bbc04545373caac180a7118b13060b117727029ee3f7b4894f1181ec484","sha256:efa4d70f8ee80c6778574f024c49e59bf1b7f034ee29ae8532b0ca5d0e2f4777"],"state_sha256":"7f919b97f8d8f53fada72377987de8c665f4c8f40839638e939005ad78f363b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tfcaAX71c9DqgjycgydLNgSv6BzS3zPcpxsmcqUoJqIz2xCF6t0xyHsI/p8QkeI/81wrmwez92DM4t+lwB+iDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T10:39:51.887124Z","bundle_sha256":"5cb39f1ab09a2444d2edaba14f572e6a146ef328df8f80026ea634143f7309a5"}}