{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HPC4ZYRXCUJYGNZ7RZKUOSPKZN","short_pith_number":"pith:HPC4ZYRX","canonical_record":{"source":{"id":"1502.03253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-11T10:36:40Z","cross_cats_sorted":[],"title_canon_sha256":"5a6f24271e1c31e4a11fe628c0f51ef2c4201bb5064ef49480efed601d9183cd","abstract_canon_sha256":"c4f8535bf6e5b3841d61cef22f9e2151d4ead8f46962db315559458baa36ecd0"},"schema_version":"1.0"},"canonical_sha256":"3bc5cce237151383373f8e554749eacb42334d5e315f00314dc8adfeb12e7196","source":{"kind":"arxiv","id":"1502.03253","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03253","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03253v1","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03253","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"pith_short_12","alias_value":"HPC4ZYRXCUJY","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HPC4ZYRXCUJYGNZ7","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HPC4ZYRX","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HPC4ZYRXCUJYGNZ7RZKUOSPKZN","target":"record","payload":{"canonical_record":{"source":{"id":"1502.03253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-11T10:36:40Z","cross_cats_sorted":[],"title_canon_sha256":"5a6f24271e1c31e4a11fe628c0f51ef2c4201bb5064ef49480efed601d9183cd","abstract_canon_sha256":"c4f8535bf6e5b3841d61cef22f9e2151d4ead8f46962db315559458baa36ecd0"},"schema_version":"1.0"},"canonical_sha256":"3bc5cce237151383373f8e554749eacb42334d5e315f00314dc8adfeb12e7196","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:19.889618Z","signature_b64":"oaSz93EWM8/LP8TPttVZ7369XYU8brmcSkP/9ofqRZwvskOeAcr7OIILjtEB8Intkz+a6jtnyjaT+c1XH4AsAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bc5cce237151383373f8e554749eacb42334d5e315f00314dc8adfeb12e7196","last_reissued_at":"2026-05-18T02:27:19.888889Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:19.888889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.03253","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":"2026-05-18T02:27:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fbzabWGE6vRTUWh0Wm1YJOmtxm/TQzjqSYaXGxl8bPYHQgjiZlCRt9ZEf1ZmeI4HjJwEIKWCNUaRxMcqyh91Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:34:33.571996Z"},"content_sha256":"ea64cf35fd4365f3728ea5130af040558dbe72c9a2fa8f2e3ead249a62533bde","schema_version":"1.0","event_id":"sha256:ea64cf35fd4365f3728ea5130af040558dbe72c9a2fa8f2e3ead249a62533bde"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HPC4ZYRXCUJYGNZ7RZKUOSPKZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrability of generalized pluriharmonic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Lars Sch\\\"afer","submitted_at":"2015-02-11T10:36:40Z","abstract_excerpt":"In this paper we provide examples of maps from almost complex domains into pseudo-Riemannian symmetric targets, which are pluriharmonic and not integrable, i.e. do not admit an associated family. More precisely, for one class of examples the source has a non-integrable complex structure, like for instance a nearly Kaehler structure and the target is a Riemannian symmetric space and for the other class the source is a complex manifold and the target is a pseudo-Riemannian symmetric space. These examples show, that a former result on the existence of associated families is sharp."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03253","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":"2026-05-18T02:27:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fvtHTNpEuFb8ctvBXhkhL5naN9diGa6+7v0jmW1Fr29iujQsOxV998YmFsLYEcjE1nbmWCrw+8xdxOGlb6MSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:34:33.572376Z"},"content_sha256":"71cbe175405b06745460c97e31d33ca850129d0440506b74309e3e49fcf1f369","schema_version":"1.0","event_id":"sha256:71cbe175405b06745460c97e31d33ca850129d0440506b74309e3e49fcf1f369"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HPC4ZYRXCUJYGNZ7RZKUOSPKZN/bundle.json","state_url":"https://pith.science/pith/HPC4ZYRXCUJYGNZ7RZKUOSPKZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HPC4ZYRXCUJYGNZ7RZKUOSPKZN/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":"2026-06-23T01:34:33Z","links":{"resolver":"https://pith.science/pith/HPC4ZYRXCUJYGNZ7RZKUOSPKZN","bundle":"https://pith.science/pith/HPC4ZYRXCUJYGNZ7RZKUOSPKZN/bundle.json","state":"https://pith.science/pith/HPC4ZYRXCUJYGNZ7RZKUOSPKZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HPC4ZYRXCUJYGNZ7RZKUOSPKZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HPC4ZYRXCUJYGNZ7RZKUOSPKZN","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":"c4f8535bf6e5b3841d61cef22f9e2151d4ead8f46962db315559458baa36ecd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-11T10:36:40Z","title_canon_sha256":"5a6f24271e1c31e4a11fe628c0f51ef2c4201bb5064ef49480efed601d9183cd"},"schema_version":"1.0","source":{"id":"1502.03253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03253","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03253v1","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03253","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"pith_short_12","alias_value":"HPC4ZYRXCUJY","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HPC4ZYRXCUJYGNZ7","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HPC4ZYRX","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:71cbe175405b06745460c97e31d33ca850129d0440506b74309e3e49fcf1f369","target":"graph","created_at":"2026-05-18T02:27:19Z","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 this paper we provide examples of maps from almost complex domains into pseudo-Riemannian symmetric targets, which are pluriharmonic and not integrable, i.e. do not admit an associated family. More precisely, for one class of examples the source has a non-integrable complex structure, like for instance a nearly Kaehler structure and the target is a Riemannian symmetric space and for the other class the source is a complex manifold and the target is a pseudo-Riemannian symmetric space. These examples show, that a former result on the existence of associated families is sharp.","authors_text":"Lars Sch\\\"afer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-11T10:36:40Z","title":"Integrability of generalized pluriharmonic maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03253","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:ea64cf35fd4365f3728ea5130af040558dbe72c9a2fa8f2e3ead249a62533bde","target":"record","created_at":"2026-05-18T02:27:19Z","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":"c4f8535bf6e5b3841d61cef22f9e2151d4ead8f46962db315559458baa36ecd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-11T10:36:40Z","title_canon_sha256":"5a6f24271e1c31e4a11fe628c0f51ef2c4201bb5064ef49480efed601d9183cd"},"schema_version":"1.0","source":{"id":"1502.03253","kind":"arxiv","version":1}},"canonical_sha256":"3bc5cce237151383373f8e554749eacb42334d5e315f00314dc8adfeb12e7196","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bc5cce237151383373f8e554749eacb42334d5e315f00314dc8adfeb12e7196","first_computed_at":"2026-05-18T02:27:19.888889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:19.888889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oaSz93EWM8/LP8TPttVZ7369XYU8brmcSkP/9ofqRZwvskOeAcr7OIILjtEB8Intkz+a6jtnyjaT+c1XH4AsAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:19.889618Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea64cf35fd4365f3728ea5130af040558dbe72c9a2fa8f2e3ead249a62533bde","sha256:71cbe175405b06745460c97e31d33ca850129d0440506b74309e3e49fcf1f369"],"state_sha256":"0aa6664191794e033b22ea1847106e69050310ee22fe1313727bee01e9f6b172"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3gCTpeQJ3b14XsJPXxEb27wPYxXp+aYAR2sbW+arqPZ3gSvtXMj1Mi6QRFBKBgCCF5dtiuQLkI3XNBvohuQKAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T01:34:33.574383Z","bundle_sha256":"f8a97e3d957ebd7feef97b5a39e207c80faa607588f1282735852f845a16da6c"}}