{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KMRETD5UHB7YMV622T6E4Z4LQT","short_pith_number":"pith:KMRETD5U","canonical_record":{"source":{"id":"1511.08055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-11-25T13:40:32Z","cross_cats_sorted":[],"title_canon_sha256":"3c1ac4e14fdd60cfb2d1d5853d1fe5b6f8f2abda80516547a28aff7ea6850734","abstract_canon_sha256":"5bc6071b9b929e0143da03e102bded15fcbcadb940ac3f811d0e97fd75e7e19b"},"schema_version":"1.0"},"canonical_sha256":"5322498fb4387f8657dad4fc4e678b84ff62748cd1975bf0d17ff9a0139e9bfb","source":{"kind":"arxiv","id":"1511.08055","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.08055","created_at":"2026-05-18T01:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1511.08055v1","created_at":"2026-05-18T01:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08055","created_at":"2026-05-18T01:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"KMRETD5UHB7Y","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KMRETD5UHB7YMV62","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KMRETD5U","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KMRETD5UHB7YMV622T6E4Z4LQT","target":"record","payload":{"canonical_record":{"source":{"id":"1511.08055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-11-25T13:40:32Z","cross_cats_sorted":[],"title_canon_sha256":"3c1ac4e14fdd60cfb2d1d5853d1fe5b6f8f2abda80516547a28aff7ea6850734","abstract_canon_sha256":"5bc6071b9b929e0143da03e102bded15fcbcadb940ac3f811d0e97fd75e7e19b"},"schema_version":"1.0"},"canonical_sha256":"5322498fb4387f8657dad4fc4e678b84ff62748cd1975bf0d17ff9a0139e9bfb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:01.875518Z","signature_b64":"LZP0pIhXJhpVqo3XD+gbjJ69GF1VRtZVlrclcn36LaH+1SOopdpTSH3p0oxFt+0Ehxq2t2zMiPpDmgHOrmRxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5322498fb4387f8657dad4fc4e678b84ff62748cd1975bf0d17ff9a0139e9bfb","last_reissued_at":"2026-05-18T01:26:01.875023Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:01.875023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.08055","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":"2026-05-18T01:26:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7kC6Q29QxAT8I4y1sk7RmvVaUlKrOFuiKrIte/lO/eqPAl7+d/qdeIVXNgee5s0XxW/wPp0aEwWdu+XQOMS9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:56:32.294334Z"},"content_sha256":"2a4619708d0c553b7672a62c8013f941b3fc4a6a38d82477c5efd29d7a20d2b1","schema_version":"1.0","event_id":"sha256:2a4619708d0c553b7672a62c8013f941b3fc4a6a38d82477c5efd29d7a20d2b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KMRETD5UHB7YMV622T6E4Z4LQT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical properties of the absolute period foliation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Ursula Hamenstaedt","submitted_at":"2015-11-25T13:40:32Z","abstract_excerpt":"We show that the absolute period foliation of the principal stratum of abelian differentials on a surface of genus at least 3 is ergodic. We also investigate the absolute period foliation of affine invariant manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08055","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":"2026-05-18T01:26:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TbQA1pTiMtUd5TwiPXYyAYscsOie4JObdcTqBtyhVh/kPnHCi44SXxQRLHQZFrpZvJ386XqwAlRNn6MSZOtzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:56:32.294949Z"},"content_sha256":"960f3bbd5c3481abab58abf680c37643ca3ed3c0a573a5928097beae455d8ed1","schema_version":"1.0","event_id":"sha256:960f3bbd5c3481abab58abf680c37643ca3ed3c0a573a5928097beae455d8ed1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KMRETD5UHB7YMV622T6E4Z4LQT/bundle.json","state_url":"https://pith.science/pith/KMRETD5UHB7YMV622T6E4Z4LQT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KMRETD5UHB7YMV622T6E4Z4LQT/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":"2026-06-06T08:56:32Z","links":{"resolver":"https://pith.science/pith/KMRETD5UHB7YMV622T6E4Z4LQT","bundle":"https://pith.science/pith/KMRETD5UHB7YMV622T6E4Z4LQT/bundle.json","state":"https://pith.science/pith/KMRETD5UHB7YMV622T6E4Z4LQT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KMRETD5UHB7YMV622T6E4Z4LQT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KMRETD5UHB7YMV622T6E4Z4LQT","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":"5bc6071b9b929e0143da03e102bded15fcbcadb940ac3f811d0e97fd75e7e19b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-11-25T13:40:32Z","title_canon_sha256":"3c1ac4e14fdd60cfb2d1d5853d1fe5b6f8f2abda80516547a28aff7ea6850734"},"schema_version":"1.0","source":{"id":"1511.08055","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.08055","created_at":"2026-05-18T01:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1511.08055v1","created_at":"2026-05-18T01:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08055","created_at":"2026-05-18T01:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"KMRETD5UHB7Y","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KMRETD5UHB7YMV62","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KMRETD5U","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:960f3bbd5c3481abab58abf680c37643ca3ed3c0a573a5928097beae455d8ed1","target":"graph","created_at":"2026-05-18T01:26:01Z","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 show that the absolute period foliation of the principal stratum of abelian differentials on a surface of genus at least 3 is ergodic. We also investigate the absolute period foliation of affine invariant manifolds.","authors_text":"Ursula Hamenstaedt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-11-25T13:40:32Z","title":"Dynamical properties of the absolute period foliation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08055","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":"sha256:2a4619708d0c553b7672a62c8013f941b3fc4a6a38d82477c5efd29d7a20d2b1","target":"record","created_at":"2026-05-18T01:26:01Z","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":"5bc6071b9b929e0143da03e102bded15fcbcadb940ac3f811d0e97fd75e7e19b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-11-25T13:40:32Z","title_canon_sha256":"3c1ac4e14fdd60cfb2d1d5853d1fe5b6f8f2abda80516547a28aff7ea6850734"},"schema_version":"1.0","source":{"id":"1511.08055","kind":"arxiv","version":1}},"canonical_sha256":"5322498fb4387f8657dad4fc4e678b84ff62748cd1975bf0d17ff9a0139e9bfb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5322498fb4387f8657dad4fc4e678b84ff62748cd1975bf0d17ff9a0139e9bfb","first_computed_at":"2026-05-18T01:26:01.875023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:01.875023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LZP0pIhXJhpVqo3XD+gbjJ69GF1VRtZVlrclcn36LaH+1SOopdpTSH3p0oxFt+0Ehxq2t2zMiPpDmgHOrmRxCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:01.875518Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.08055","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a4619708d0c553b7672a62c8013f941b3fc4a6a38d82477c5efd29d7a20d2b1","sha256:960f3bbd5c3481abab58abf680c37643ca3ed3c0a573a5928097beae455d8ed1"],"state_sha256":"17b2cd23b19353c42aa387bdf2562bdcccd51d71e74428255bc084b0c8e7c5db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XokZ2IC79tct3pO8qTDP8rbrsnqXH5MbE87q9wcErnWuZqBb7t7ZYO1YSg66eHMt97oNGKp/CDbWJ2V0uIGPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T08:56:32.298647Z","bundle_sha256":"41ffb618f95856edc0a6080c0763f912c697a95700baa873d253970e1ddaf426"}}