{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DWNJE3EVIWPXUEU7HKH4RJRXX5","short_pith_number":"pith:DWNJE3EV","canonical_record":{"source":{"id":"1501.02881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-13T04:02:21Z","cross_cats_sorted":[],"title_canon_sha256":"1e2a22774a87de0359de1314b016d6118fed7e51a036c9b0fbd76f4cf0c2684e","abstract_canon_sha256":"301300a41b83257c14a9672ceff1ee2923f70ff69d48e066802d68ce0f0982f7"},"schema_version":"1.0"},"canonical_sha256":"1d9a926c95459f7a129f3a8fc8a637bf60e391b6c40f5f57d9197cc0ddb33848","source":{"kind":"arxiv","id":"1501.02881","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02881","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02881v1","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02881","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"pith_short_12","alias_value":"DWNJE3EVIWPX","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DWNJE3EVIWPXUEU7","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DWNJE3EV","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DWNJE3EVIWPXUEU7HKH4RJRXX5","target":"record","payload":{"canonical_record":{"source":{"id":"1501.02881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-13T04:02:21Z","cross_cats_sorted":[],"title_canon_sha256":"1e2a22774a87de0359de1314b016d6118fed7e51a036c9b0fbd76f4cf0c2684e","abstract_canon_sha256":"301300a41b83257c14a9672ceff1ee2923f70ff69d48e066802d68ce0f0982f7"},"schema_version":"1.0"},"canonical_sha256":"1d9a926c95459f7a129f3a8fc8a637bf60e391b6c40f5f57d9197cc0ddb33848","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:31.032521Z","signature_b64":"0oct7qM8XNvUpMJJVrXfihrY93OD7vhLFUo3wSbXkEGuf0F8Hgzl4H7OQpsoL/qkBPOafeYthgoS+OEBUl1IAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d9a926c95459f7a129f3a8fc8a637bf60e391b6c40f5f57d9197cc0ddb33848","last_reissued_at":"2026-05-18T02:29:31.031946Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:31.031946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.02881","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":"2026-05-18T02:29:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zJWaEF375QbLjVgWB/sluLo1Hbwty/tRRAhEoPq0DztwljjFAF89sA8FvkZypp30hY5fyPx6F6WoxWmikXTvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T19:16:12.133939Z"},"content_sha256":"36545b880aa69ea6436499d08b2cdad57ed553647ac9bbb82b32221513b211b0","schema_version":"1.0","event_id":"sha256:36545b880aa69ea6436499d08b2cdad57ed553647ac9bbb82b32221513b211b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DWNJE3EVIWPXUEU7HKH4RJRXX5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A smooth mixing flow on a surface with non-degenerate fixed points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alex Wright, Jon Chaika","submitted_at":"2015-01-13T04:02:21Z","abstract_excerpt":"We construct a smooth, area preserving, mixing flow with finitely many non-degenerate fixed points and no saddle connections on a closed surface of genus 5. This resolves a problem that has been open for four decades."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02881","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":"2026-05-18T02:29:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ldZ6oZOB+uhC6faDT3YIubsX9coZmfWf5bivBcBlPDUGTlHHgFsS8GJqkPRB2PnJBHdl1CnLChhV+BLwFzWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T19:16:12.134669Z"},"content_sha256":"dd6f1ff995cbd1d107350890fa5ce41f587a4194132dc38463a3fbd3ffafbccc","schema_version":"1.0","event_id":"sha256:dd6f1ff995cbd1d107350890fa5ce41f587a4194132dc38463a3fbd3ffafbccc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DWNJE3EVIWPXUEU7HKH4RJRXX5/bundle.json","state_url":"https://pith.science/pith/DWNJE3EVIWPXUEU7HKH4RJRXX5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DWNJE3EVIWPXUEU7HKH4RJRXX5/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":"2026-06-07T19:16:12Z","links":{"resolver":"https://pith.science/pith/DWNJE3EVIWPXUEU7HKH4RJRXX5","bundle":"https://pith.science/pith/DWNJE3EVIWPXUEU7HKH4RJRXX5/bundle.json","state":"https://pith.science/pith/DWNJE3EVIWPXUEU7HKH4RJRXX5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DWNJE3EVIWPXUEU7HKH4RJRXX5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DWNJE3EVIWPXUEU7HKH4RJRXX5","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":"301300a41b83257c14a9672ceff1ee2923f70ff69d48e066802d68ce0f0982f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-13T04:02:21Z","title_canon_sha256":"1e2a22774a87de0359de1314b016d6118fed7e51a036c9b0fbd76f4cf0c2684e"},"schema_version":"1.0","source":{"id":"1501.02881","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02881","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02881v1","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02881","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"pith_short_12","alias_value":"DWNJE3EVIWPX","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DWNJE3EVIWPXUEU7","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DWNJE3EV","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:dd6f1ff995cbd1d107350890fa5ce41f587a4194132dc38463a3fbd3ffafbccc","target":"graph","created_at":"2026-05-18T02:29:31Z","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 construct a smooth, area preserving, mixing flow with finitely many non-degenerate fixed points and no saddle connections on a closed surface of genus 5. This resolves a problem that has been open for four decades.","authors_text":"Alex Wright, Jon Chaika","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-13T04:02:21Z","title":"A smooth mixing flow on a surface with non-degenerate fixed points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02881","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":"sha256:36545b880aa69ea6436499d08b2cdad57ed553647ac9bbb82b32221513b211b0","target":"record","created_at":"2026-05-18T02:29:31Z","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":"301300a41b83257c14a9672ceff1ee2923f70ff69d48e066802d68ce0f0982f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-13T04:02:21Z","title_canon_sha256":"1e2a22774a87de0359de1314b016d6118fed7e51a036c9b0fbd76f4cf0c2684e"},"schema_version":"1.0","source":{"id":"1501.02881","kind":"arxiv","version":1}},"canonical_sha256":"1d9a926c95459f7a129f3a8fc8a637bf60e391b6c40f5f57d9197cc0ddb33848","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d9a926c95459f7a129f3a8fc8a637bf60e391b6c40f5f57d9197cc0ddb33848","first_computed_at":"2026-05-18T02:29:31.031946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:31.031946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0oct7qM8XNvUpMJJVrXfihrY93OD7vhLFUo3wSbXkEGuf0F8Hgzl4H7OQpsoL/qkBPOafeYthgoS+OEBUl1IAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:31.032521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.02881","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36545b880aa69ea6436499d08b2cdad57ed553647ac9bbb82b32221513b211b0","sha256:dd6f1ff995cbd1d107350890fa5ce41f587a4194132dc38463a3fbd3ffafbccc"],"state_sha256":"058f928c72241c4547c1da1bd34d28617dbf8cd710e9c81951d7643bc5216311"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s8HGdTa59Aba2IZFgdfEnTTAx+VZreXD1K6r4x3PaUxyYGROsT9qD63MfK2f39Ql+qR+b4uWUz9n5qmkwE5mBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T19:16:12.138326Z","bundle_sha256":"60f8e6e5fe645edd4226a7a730ce0f2606fcc550c4196050a7f214dfb87829c2"}}