{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SENIA7RKFVN3JVXV3KREKYGV2N","short_pith_number":"pith:SENIA7RK","canonical_record":{"source":{"id":"1804.01448","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-04T14:55:19Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"dfd27307132e40237abb33230f5f0b1e275b4817d7c0d66616ebcbf471480330","abstract_canon_sha256":"a3cd0e59cd1635b23e2450506e5d909535483e29844b79b0e4bd38a07f6c8638"},"schema_version":"1.0"},"canonical_sha256":"911a807e2a2d5bb4d6f5daa24560d5d37992e006ec9a73840a15ffba40681d1e","source":{"kind":"arxiv","id":"1804.01448","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01448","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01448v3","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01448","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"pith_short_12","alias_value":"SENIA7RKFVN3","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SENIA7RKFVN3JVXV","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SENIA7RK","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SENIA7RKFVN3JVXV3KREKYGV2N","target":"record","payload":{"canonical_record":{"source":{"id":"1804.01448","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-04T14:55:19Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"dfd27307132e40237abb33230f5f0b1e275b4817d7c0d66616ebcbf471480330","abstract_canon_sha256":"a3cd0e59cd1635b23e2450506e5d909535483e29844b79b0e4bd38a07f6c8638"},"schema_version":"1.0"},"canonical_sha256":"911a807e2a2d5bb4d6f5daa24560d5d37992e006ec9a73840a15ffba40681d1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:27.771785Z","signature_b64":"WkbZ38XkROsTFMoB/DXLbiw6ZDzyR7n5Q0bOLe8w3IDpAL7NVubp93h+2kFDpXHj/+kXLmzMbBrrfMvASaYrBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"911a807e2a2d5bb4d6f5daa24560d5d37992e006ec9a73840a15ffba40681d1e","last_reissued_at":"2026-05-18T00:07:27.771207Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:27.771207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.01448","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:07:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IDl/bRgaaxnDNk3pEw5jZ+i9jXaqmxgmSSI5ZwIEKPl7AhZFqRaxs0OKjdHtRNMY5j+JyslPcOyRKlDkzM1JBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:08:45.390214Z"},"content_sha256":"3abd0dd2568ce63d5412fcc0ca015798fe4016a302795909470a4ba2b3b19bb7","schema_version":"1.0","event_id":"sha256:3abd0dd2568ce63d5412fcc0ca015798fe4016a302795909470a4ba2b3b19bb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SENIA7RKFVN3JVXV3KREKYGV2N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cutting and shuffling with diffusion: Evidence for cut-offs in interval exchange maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"math.DS","authors_text":"Ivan C. Christov, Mengying Wang","submitted_at":"2018-04-04T14:55:19Z","abstract_excerpt":"Low-dimensional dynamical systems are fruitful models for mixing in fluid and granular flows. We study a one-dimensional discontinuous dynamical system (termed \"cutting and shuffling\" of a line segment), and we present a comprehensive computational study of its finite-time mixing properties including the effect of diffusion. To explore a large parameter space, we introduce fit functions for two mixing metrics of choice: the number of cutting interfaces (a standard quantity in dynamical systems theory of interval exchange transformations) and a mixing norm (a more physical measure of mixing). W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01448","kind":"arxiv","version":3},"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":"2026-05-18T00:07:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NhH3NdNVj/nZpVhb2r9mYJjX2JFnVceAkuG1VQj9udOH2Y9FQNLQoiN0DI8y6Wqda2ScFZIl9nlqq+b9irAIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:08:45.390864Z"},"content_sha256":"6bb42197915cbe7a7a7f8d1fb027ecdc8cdcab7b9be6df1f29ac61f3e49de45f","schema_version":"1.0","event_id":"sha256:6bb42197915cbe7a7a7f8d1fb027ecdc8cdcab7b9be6df1f29ac61f3e49de45f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SENIA7RKFVN3JVXV3KREKYGV2N/bundle.json","state_url":"https://pith.science/pith/SENIA7RKFVN3JVXV3KREKYGV2N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SENIA7RKFVN3JVXV3KREKYGV2N/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":"2026-05-31T21:08:45Z","links":{"resolver":"https://pith.science/pith/SENIA7RKFVN3JVXV3KREKYGV2N","bundle":"https://pith.science/pith/SENIA7RKFVN3JVXV3KREKYGV2N/bundle.json","state":"https://pith.science/pith/SENIA7RKFVN3JVXV3KREKYGV2N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SENIA7RKFVN3JVXV3KREKYGV2N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SENIA7RKFVN3JVXV3KREKYGV2N","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":"a3cd0e59cd1635b23e2450506e5d909535483e29844b79b0e4bd38a07f6c8638","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-04T14:55:19Z","title_canon_sha256":"dfd27307132e40237abb33230f5f0b1e275b4817d7c0d66616ebcbf471480330"},"schema_version":"1.0","source":{"id":"1804.01448","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01448","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01448v3","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01448","created_at":"2026-05-18T00:07:27Z"},{"alias_kind":"pith_short_12","alias_value":"SENIA7RKFVN3","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SENIA7RKFVN3JVXV","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SENIA7RK","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:6bb42197915cbe7a7a7f8d1fb027ecdc8cdcab7b9be6df1f29ac61f3e49de45f","target":"graph","created_at":"2026-05-18T00:07:27Z","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":"Low-dimensional dynamical systems are fruitful models for mixing in fluid and granular flows. We study a one-dimensional discontinuous dynamical system (termed \"cutting and shuffling\" of a line segment), and we present a comprehensive computational study of its finite-time mixing properties including the effect of diffusion. To explore a large parameter space, we introduce fit functions for two mixing metrics of choice: the number of cutting interfaces (a standard quantity in dynamical systems theory of interval exchange transformations) and a mixing norm (a more physical measure of mixing). W","authors_text":"Ivan C. Christov, Mengying Wang","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-04T14:55:19Z","title":"Cutting and shuffling with diffusion: Evidence for cut-offs in interval exchange maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01448","kind":"arxiv","version":3},"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":"sha256:3abd0dd2568ce63d5412fcc0ca015798fe4016a302795909470a4ba2b3b19bb7","target":"record","created_at":"2026-05-18T00:07:27Z","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":"a3cd0e59cd1635b23e2450506e5d909535483e29844b79b0e4bd38a07f6c8638","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-04T14:55:19Z","title_canon_sha256":"dfd27307132e40237abb33230f5f0b1e275b4817d7c0d66616ebcbf471480330"},"schema_version":"1.0","source":{"id":"1804.01448","kind":"arxiv","version":3}},"canonical_sha256":"911a807e2a2d5bb4d6f5daa24560d5d37992e006ec9a73840a15ffba40681d1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"911a807e2a2d5bb4d6f5daa24560d5d37992e006ec9a73840a15ffba40681d1e","first_computed_at":"2026-05-18T00:07:27.771207Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:27.771207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WkbZ38XkROsTFMoB/DXLbiw6ZDzyR7n5Q0bOLe8w3IDpAL7NVubp93h+2kFDpXHj/+kXLmzMbBrrfMvASaYrBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:27.771785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01448","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3abd0dd2568ce63d5412fcc0ca015798fe4016a302795909470a4ba2b3b19bb7","sha256:6bb42197915cbe7a7a7f8d1fb027ecdc8cdcab7b9be6df1f29ac61f3e49de45f"],"state_sha256":"6cd0f59278678a9ae05cf183954aa7b95f8c507c046df472814aab815dfd4457"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0++KedwRwmzfyweSTZFCtqTy3JvDX/nbymcGGEmAXRFw9OSV/87UsbvUZNPchSZYLL1d3q/9LKg4wUYg0elnBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:08:45.394012Z","bundle_sha256":"0c545ac764bec516084275c71534527be0b3ff444fdccba74e3f122fa4ac56b7"}}