{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:PANWZS3PMRHL7L6ZXPYR3FLAO7","short_pith_number":"pith:PANWZS3P","canonical_record":{"source":{"id":"1103.5862","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-30T09:58:22Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"b658dfe918332c7e311e0078d8158d31d346a8907320c0ed00c9fa27d30abd67","abstract_canon_sha256":"98f6f93660b39f735b7cec3b7fd1fae3e4b8609d188e1a57b86f114175856340"},"schema_version":"1.0"},"canonical_sha256":"781b6ccb6f644ebfafd9bbf11d956077d7ceb8f5c49d484fac386391635fabf9","source":{"kind":"arxiv","id":"1103.5862","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5862","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5862v2","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5862","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"pith_short_12","alias_value":"PANWZS3PMRHL","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PANWZS3PMRHL7L6Z","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PANWZS3P","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:PANWZS3PMRHL7L6ZXPYR3FLAO7","target":"record","payload":{"canonical_record":{"source":{"id":"1103.5862","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-30T09:58:22Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"b658dfe918332c7e311e0078d8158d31d346a8907320c0ed00c9fa27d30abd67","abstract_canon_sha256":"98f6f93660b39f735b7cec3b7fd1fae3e4b8609d188e1a57b86f114175856340"},"schema_version":"1.0"},"canonical_sha256":"781b6ccb6f644ebfafd9bbf11d956077d7ceb8f5c49d484fac386391635fabf9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:51.598767Z","signature_b64":"hLw0zgWg7Akt77dK4IobzIK7AwRY/I8xgMcAG+yYkZQTPeDim7HKMFuYEpXwObZJimPUdYPzGb8HZXFofQGaAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"781b6ccb6f644ebfafd9bbf11d956077d7ceb8f5c49d484fac386391635fabf9","last_reissued_at":"2026-05-18T03:40:51.597531Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:51.597531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.5862","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":"2026-05-18T03:40:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pNOMJLYMxwNQ7NVvcCVi0/J2WDHZVA6mKu/ZEQSgSnEJ+SggmG5u+TtFjWhMw2ap6hH/IQM/MlFju/tZuWs5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:43:15.317614Z"},"content_sha256":"f92b9a5a8973431062f4d7c77f22848272d0d88956f4dd3fb88dab8999a28c83","schema_version":"1.0","event_id":"sha256:f92b9a5a8973431062f4d7c77f22848272d0d88956f4dd3fb88dab8999a28c83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:PANWZS3PMRHL7L6ZXPYR3FLAO7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the geometry of K\\\"ahler-Poisson structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Gerhard Huisken, Joakim Arnlind","submitted_at":"2011-03-30T09:58:22Z","abstract_excerpt":"We prove that the Riemannian geometry of almost K\\\"ahler manifolds can be expressed in terms of the Poisson algebra of smooth functions on the manifold. Subsequently, K\\\"ahler-Poisson algebras are introduced, and it is shown that a corresponding purely algebraic theory of geometry and curvature can be developed. As an illustration of the new concepts we give an algebraic proof of the statement that a bound on the (algebraic) Ricci curvature induces a bound on the eigenvalues of the (algebraic) Laplace operator, in analogy with the well-known theorem in Riemannian geometry. As the correspondenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5862","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":"2026-05-18T03:40:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pcNIF4CcGrYRGpUWrribSI4Tjt1EHPuVTXlJCxWY8gCja0kyN53WduSgJA6aLNq8+/Rn0b+Aoz3ML/O4tbxJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:43:15.317972Z"},"content_sha256":"0df2f2e691997ce7732853aede6d2bb30d87d41292487d251920822dfa71d370","schema_version":"1.0","event_id":"sha256:0df2f2e691997ce7732853aede6d2bb30d87d41292487d251920822dfa71d370"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PANWZS3PMRHL7L6ZXPYR3FLAO7/bundle.json","state_url":"https://pith.science/pith/PANWZS3PMRHL7L6ZXPYR3FLAO7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PANWZS3PMRHL7L6ZXPYR3FLAO7/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":"2026-06-01T11:43:15Z","links":{"resolver":"https://pith.science/pith/PANWZS3PMRHL7L6ZXPYR3FLAO7","bundle":"https://pith.science/pith/PANWZS3PMRHL7L6ZXPYR3FLAO7/bundle.json","state":"https://pith.science/pith/PANWZS3PMRHL7L6ZXPYR3FLAO7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PANWZS3PMRHL7L6ZXPYR3FLAO7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PANWZS3PMRHL7L6ZXPYR3FLAO7","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":"98f6f93660b39f735b7cec3b7fd1fae3e4b8609d188e1a57b86f114175856340","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-30T09:58:22Z","title_canon_sha256":"b658dfe918332c7e311e0078d8158d31d346a8907320c0ed00c9fa27d30abd67"},"schema_version":"1.0","source":{"id":"1103.5862","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5862","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5862v2","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5862","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"pith_short_12","alias_value":"PANWZS3PMRHL","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PANWZS3PMRHL7L6Z","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PANWZS3P","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:0df2f2e691997ce7732853aede6d2bb30d87d41292487d251920822dfa71d370","target":"graph","created_at":"2026-05-18T03:40:51Z","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 prove that the Riemannian geometry of almost K\\\"ahler manifolds can be expressed in terms of the Poisson algebra of smooth functions on the manifold. Subsequently, K\\\"ahler-Poisson algebras are introduced, and it is shown that a corresponding purely algebraic theory of geometry and curvature can be developed. As an illustration of the new concepts we give an algebraic proof of the statement that a bound on the (algebraic) Ricci curvature induces a bound on the eigenvalues of the (algebraic) Laplace operator, in analogy with the well-known theorem in Riemannian geometry. As the correspondenc","authors_text":"Gerhard Huisken, Joakim Arnlind","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-30T09:58:22Z","title":"On the geometry of K\\\"ahler-Poisson structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5862","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:f92b9a5a8973431062f4d7c77f22848272d0d88956f4dd3fb88dab8999a28c83","target":"record","created_at":"2026-05-18T03:40:51Z","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":"98f6f93660b39f735b7cec3b7fd1fae3e4b8609d188e1a57b86f114175856340","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-30T09:58:22Z","title_canon_sha256":"b658dfe918332c7e311e0078d8158d31d346a8907320c0ed00c9fa27d30abd67"},"schema_version":"1.0","source":{"id":"1103.5862","kind":"arxiv","version":2}},"canonical_sha256":"781b6ccb6f644ebfafd9bbf11d956077d7ceb8f5c49d484fac386391635fabf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"781b6ccb6f644ebfafd9bbf11d956077d7ceb8f5c49d484fac386391635fabf9","first_computed_at":"2026-05-18T03:40:51.597531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:51.597531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hLw0zgWg7Akt77dK4IobzIK7AwRY/I8xgMcAG+yYkZQTPeDim7HKMFuYEpXwObZJimPUdYPzGb8HZXFofQGaAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:51.598767Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5862","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f92b9a5a8973431062f4d7c77f22848272d0d88956f4dd3fb88dab8999a28c83","sha256:0df2f2e691997ce7732853aede6d2bb30d87d41292487d251920822dfa71d370"],"state_sha256":"371c1e6cdb63623097c05cb6d80c2aba4a469c31d4cdf641e1ffb8e14ef05749"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1hM86+pEJc7Cw2I8p2aonoL7SxZEfCKDp6bxd7Ngv2NPgUwQdjqjvuPlKZda2U5JMmXFSDwxzz3K36JqH5lAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:43:15.319955Z","bundle_sha256":"7e4eac839a4e2743f681723ac695db1ea220b31e6e54fe19685c1db6c8ec7360"}}