{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4LJNBZKBRTO4445QHN4Q4YE6NX","short_pith_number":"pith:4LJNBZKB","canonical_record":{"source":{"id":"2505.04183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-05-07T07:29:20Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"6982269339f7e56f831f5d0890b9ba1ff22792cb231d4c220fac1c6553a892ba","abstract_canon_sha256":"260acbc430cdcaab4faf1c999fd467caa2cda3d59755611de904655b71dd7cf7"},"schema_version":"1.0"},"canonical_sha256":"e2d2d0e5418cddce73b03b790e609e6dfc1858138c64f00cfdb95154d573c7d8","source":{"kind":"arxiv","id":"2505.04183","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.04183","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"arxiv_version","alias_value":"2505.04183v2","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.04183","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"pith_short_12","alias_value":"4LJNBZKBRTO4","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"pith_short_16","alias_value":"4LJNBZKBRTO4445Q","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"pith_short_8","alias_value":"4LJNBZKB","created_at":"2026-07-05T11:34:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4LJNBZKBRTO4445QHN4Q4YE6NX","target":"record","payload":{"canonical_record":{"source":{"id":"2505.04183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-05-07T07:29:20Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"6982269339f7e56f831f5d0890b9ba1ff22792cb231d4c220fac1c6553a892ba","abstract_canon_sha256":"260acbc430cdcaab4faf1c999fd467caa2cda3d59755611de904655b71dd7cf7"},"schema_version":"1.0"},"canonical_sha256":"e2d2d0e5418cddce73b03b790e609e6dfc1858138c64f00cfdb95154d573c7d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:34:07.969140Z","signature_b64":"jEi7NuWYDTH4giouFEtDnw5726CysN+TETrbQNXph44LTcvLDrBH81IR5WhpzLZGNclzAgyURrNkMmOPrf80Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2d2d0e5418cddce73b03b790e609e6dfc1858138c64f00cfdb95154d573c7d8","last_reissued_at":"2026-07-05T11:34:07.968567Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:34:07.968567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.04183","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":"2026-07-05T11:34:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TqXuPQnZPu2u/E+72qiGY+gGbjMkosL4RP/JK8tS+caXDeVCKRP4BaalPQ4cR5hJiOBukzX8ZTA4UUeEBqfTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T06:53:10.378976Z"},"content_sha256":"b8a1ed139ce6e9315885ba280e7ab74f6b0773c0cfdd79e101d86a5415488ed2","schema_version":"1.0","event_id":"sha256:b8a1ed139ce6e9315885ba280e7ab74f6b0773c0cfdd79e101d86a5415488ed2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4LJNBZKBRTO4445QHN4Q4YE6NX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exponential mixing of all orders on K\\\"ahler manifolds: (quasi-)plurisubharmonic observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.CV","authors_text":"Hao Wu, Marco Vergamini","submitted_at":"2025-05-07T07:29:20Z","abstract_excerpt":"Let $f$ be a holomorphic automorphism of a compact K\\\"ahler manifold with simple action on cohomology and $\\mu$ its unique measure of maximal entropy. We prove that $\\mu$ is exponentially mixing of all orders for all d.s.h.\\ observables, i.e., functions that are locally differences of plurisubharmonic functions. As a consequence, every d.s.h.\\ observable satisfies the central limit theorem with respect to $\\mu$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.04183","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.04183/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:34:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wil3HVvMRR8OWAA+Lx3T8nfphBGYGeYj8yaP5qSV+WsYg9JAVmeme16oVmGWivQWNr/HcN8SCx5qLBUODnsmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T06:53:10.379363Z"},"content_sha256":"4b96d78e5bca01f9b107f8097eefb7d74f1e822e2d88170344cbfe2b2b4bda73","schema_version":"1.0","event_id":"sha256:4b96d78e5bca01f9b107f8097eefb7d74f1e822e2d88170344cbfe2b2b4bda73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4LJNBZKBRTO4445QHN4Q4YE6NX/bundle.json","state_url":"https://pith.science/pith/4LJNBZKBRTO4445QHN4Q4YE6NX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4LJNBZKBRTO4445QHN4Q4YE6NX/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":"2026-08-20T06:53:10Z","links":{"resolver":"https://pith.science/pith/4LJNBZKBRTO4445QHN4Q4YE6NX","bundle":"https://pith.science/pith/4LJNBZKBRTO4445QHN4Q4YE6NX/bundle.json","state":"https://pith.science/pith/4LJNBZKBRTO4445QHN4Q4YE6NX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4LJNBZKBRTO4445QHN4Q4YE6NX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4LJNBZKBRTO4445QHN4Q4YE6NX","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":"260acbc430cdcaab4faf1c999fd467caa2cda3d59755611de904655b71dd7cf7","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-05-07T07:29:20Z","title_canon_sha256":"6982269339f7e56f831f5d0890b9ba1ff22792cb231d4c220fac1c6553a892ba"},"schema_version":"1.0","source":{"id":"2505.04183","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.04183","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"arxiv_version","alias_value":"2505.04183v2","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.04183","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"pith_short_12","alias_value":"4LJNBZKBRTO4","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"pith_short_16","alias_value":"4LJNBZKBRTO4445Q","created_at":"2026-07-05T11:34:07Z"},{"alias_kind":"pith_short_8","alias_value":"4LJNBZKB","created_at":"2026-07-05T11:34:07Z"}],"graph_snapshots":[{"event_id":"sha256:4b96d78e5bca01f9b107f8097eefb7d74f1e822e2d88170344cbfe2b2b4bda73","target":"graph","created_at":"2026-07-05T11:34:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.04183/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $f$ be a holomorphic automorphism of a compact K\\\"ahler manifold with simple action on cohomology and $\\mu$ its unique measure of maximal entropy. We prove that $\\mu$ is exponentially mixing of all orders for all d.s.h.\\ observables, i.e., functions that are locally differences of plurisubharmonic functions. As a consequence, every d.s.h.\\ observable satisfies the central limit theorem with respect to $\\mu$.","authors_text":"Hao Wu, Marco Vergamini","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-05-07T07:29:20Z","title":"Exponential mixing of all orders on K\\\"ahler manifolds: (quasi-)plurisubharmonic observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.04183","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:b8a1ed139ce6e9315885ba280e7ab74f6b0773c0cfdd79e101d86a5415488ed2","target":"record","created_at":"2026-07-05T11:34:07Z","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":"260acbc430cdcaab4faf1c999fd467caa2cda3d59755611de904655b71dd7cf7","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-05-07T07:29:20Z","title_canon_sha256":"6982269339f7e56f831f5d0890b9ba1ff22792cb231d4c220fac1c6553a892ba"},"schema_version":"1.0","source":{"id":"2505.04183","kind":"arxiv","version":2}},"canonical_sha256":"e2d2d0e5418cddce73b03b790e609e6dfc1858138c64f00cfdb95154d573c7d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2d2d0e5418cddce73b03b790e609e6dfc1858138c64f00cfdb95154d573c7d8","first_computed_at":"2026-07-05T11:34:07.968567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:34:07.968567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jEi7NuWYDTH4giouFEtDnw5726CysN+TETrbQNXph44LTcvLDrBH81IR5WhpzLZGNclzAgyURrNkMmOPrf80Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:34:07.969140Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.04183","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8a1ed139ce6e9315885ba280e7ab74f6b0773c0cfdd79e101d86a5415488ed2","sha256:4b96d78e5bca01f9b107f8097eefb7d74f1e822e2d88170344cbfe2b2b4bda73"],"state_sha256":"a889aaa0ee7c57307d737b0bf1e9586e6f46128f1fb8c106a3f7d56b19c92b57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aqD8Hzp9Y0/qevP2eKYkkqRqMqhHZaISE/rRhX7pNBFizMNApZnioVyGcVtkPzRk3lZhT8B/2CTLjwuR4Y9sBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T06:53:10.391073Z","bundle_sha256":"6d3f4604c7002b9acf6dfd23c617569ab7fb435ad876f3297877823c626e3b7b"}}