{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RH3W4RWGFTWXFNHCJ5JIPDV56I","short_pith_number":"pith:RH3W4RWG","canonical_record":{"source":{"id":"1409.3839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-09-12T19:00:07Z","cross_cats_sorted":[],"title_canon_sha256":"96b82c499a1fa171ec7bb66060ea6732bab051ab4a454d4ed7e401cdbf45883e","abstract_canon_sha256":"baa7288f2be2c5313fcb235c820e2f1f23390fc0a778fbe6922a5ebb328af156"},"schema_version":"1.0"},"canonical_sha256":"89f76e46c62ced72b4e24f52878ebdf2159e681fb8099cea3613071c56209bf3","source":{"kind":"arxiv","id":"1409.3839","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3839","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3839v2","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3839","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"RH3W4RWGFTWX","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"pith_short_16","alias_value":"RH3W4RWGFTWXFNHC","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"pith_short_8","alias_value":"RH3W4RWG","created_at":"2026-07-05T01:35:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RH3W4RWGFTWXFNHCJ5JIPDV56I","target":"record","payload":{"canonical_record":{"source":{"id":"1409.3839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-09-12T19:00:07Z","cross_cats_sorted":[],"title_canon_sha256":"96b82c499a1fa171ec7bb66060ea6732bab051ab4a454d4ed7e401cdbf45883e","abstract_canon_sha256":"baa7288f2be2c5313fcb235c820e2f1f23390fc0a778fbe6922a5ebb328af156"},"schema_version":"1.0"},"canonical_sha256":"89f76e46c62ced72b4e24f52878ebdf2159e681fb8099cea3613071c56209bf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:35:56.096506Z","signature_b64":"5KnfIlBbpyupy1F5W+P3ftT68Qo0jmnMQ1+lv6bziTnFLWmKddg4v9GAQr7PfOP6KmEWKi7tkLbLBFn0/UFyDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89f76e46c62ced72b4e24f52878ebdf2159e681fb8099cea3613071c56209bf3","last_reissued_at":"2026-07-05T01:35:56.096137Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:35:56.096137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.3839","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":"2026-07-05T01:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zp3vPT3hTabLC79J6IhWlsIwIS9R1MROcr5smC1vV1P4O39XylQ2OLCpFp2wroN+qdJ68BJ5VTHO5nin5QwxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:48:40.550839Z"},"content_sha256":"ce1c1fd8c6bfee35ba8035f73929bb5b4af79212bc9c1cc356f7318a45dc3d2d","schema_version":"1.0","event_id":"sha256:ce1c1fd8c6bfee35ba8035f73929bb5b4af79212bc9c1cc356f7318a45dc3d2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RH3W4RWGFTWXFNHCJ5JIPDV56I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence of torsion-low maximal identity isotopies for area preserving surface homeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jingzhi Yan","submitted_at":"2014-09-12T19:00:07Z","abstract_excerpt":"The paper concerns area preserving homeomorphisms of surfaces that are isotopic to the identity. The purpose of the paper is to find a maximal identity isotopy such that we can give a fine descriptions of the dynamics of its transverse foliation. We will define a kind of identity isotopies: torsion-low isotopies. In particular, when $f$ is a diffeomorphism with finitely many fixed points such that every fixed point is not degenerate, an identity isotopy $I$ of $f$ is torsion-low if and only if for every point $z$ fixed along the isotopy, the (real) rotation number $\\rho(I,z)$, which is well de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3839","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/1409.3839/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":"2026-07-05T01:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C08oz5WnSvScm0SmibWg6yrK9yFPSRhCV/tFURoY1i0izDr85WwNnTNIkUlPrmfc8a2WaHjv0MVjB53c+FtWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:48:40.551244Z"},"content_sha256":"123c43c1d60489bcfb0ca522ef48aaacb7af506d9c4a604a0bd4c240eaa52b57","schema_version":"1.0","event_id":"sha256:123c43c1d60489bcfb0ca522ef48aaacb7af506d9c4a604a0bd4c240eaa52b57"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RH3W4RWGFTWXFNHCJ5JIPDV56I/bundle.json","state_url":"https://pith.science/pith/RH3W4RWGFTWXFNHCJ5JIPDV56I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RH3W4RWGFTWXFNHCJ5JIPDV56I/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":"2026-07-07T13:48:40Z","links":{"resolver":"https://pith.science/pith/RH3W4RWGFTWXFNHCJ5JIPDV56I","bundle":"https://pith.science/pith/RH3W4RWGFTWXFNHCJ5JIPDV56I/bundle.json","state":"https://pith.science/pith/RH3W4RWGFTWXFNHCJ5JIPDV56I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RH3W4RWGFTWXFNHCJ5JIPDV56I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RH3W4RWGFTWXFNHCJ5JIPDV56I","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":"baa7288f2be2c5313fcb235c820e2f1f23390fc0a778fbe6922a5ebb328af156","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-09-12T19:00:07Z","title_canon_sha256":"96b82c499a1fa171ec7bb66060ea6732bab051ab4a454d4ed7e401cdbf45883e"},"schema_version":"1.0","source":{"id":"1409.3839","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3839","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3839v2","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3839","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"RH3W4RWGFTWX","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"pith_short_16","alias_value":"RH3W4RWGFTWXFNHC","created_at":"2026-07-05T01:35:56Z"},{"alias_kind":"pith_short_8","alias_value":"RH3W4RWG","created_at":"2026-07-05T01:35:56Z"}],"graph_snapshots":[{"event_id":"sha256:123c43c1d60489bcfb0ca522ef48aaacb7af506d9c4a604a0bd4c240eaa52b57","target":"graph","created_at":"2026-07-05T01:35:56Z","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/1409.3839/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper concerns area preserving homeomorphisms of surfaces that are isotopic to the identity. The purpose of the paper is to find a maximal identity isotopy such that we can give a fine descriptions of the dynamics of its transverse foliation. We will define a kind of identity isotopies: torsion-low isotopies. In particular, when $f$ is a diffeomorphism with finitely many fixed points such that every fixed point is not degenerate, an identity isotopy $I$ of $f$ is torsion-low if and only if for every point $z$ fixed along the isotopy, the (real) rotation number $\\rho(I,z)$, which is well de","authors_text":"Jingzhi Yan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-09-12T19:00:07Z","title":"Existence of torsion-low maximal identity isotopies for area preserving surface homeomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3839","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:ce1c1fd8c6bfee35ba8035f73929bb5b4af79212bc9c1cc356f7318a45dc3d2d","target":"record","created_at":"2026-07-05T01:35:56Z","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":"baa7288f2be2c5313fcb235c820e2f1f23390fc0a778fbe6922a5ebb328af156","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-09-12T19:00:07Z","title_canon_sha256":"96b82c499a1fa171ec7bb66060ea6732bab051ab4a454d4ed7e401cdbf45883e"},"schema_version":"1.0","source":{"id":"1409.3839","kind":"arxiv","version":2}},"canonical_sha256":"89f76e46c62ced72b4e24f52878ebdf2159e681fb8099cea3613071c56209bf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89f76e46c62ced72b4e24f52878ebdf2159e681fb8099cea3613071c56209bf3","first_computed_at":"2026-07-05T01:35:56.096137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:35:56.096137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5KnfIlBbpyupy1F5W+P3ftT68Qo0jmnMQ1+lv6bziTnFLWmKddg4v9GAQr7PfOP6KmEWKi7tkLbLBFn0/UFyDw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:35:56.096506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3839","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce1c1fd8c6bfee35ba8035f73929bb5b4af79212bc9c1cc356f7318a45dc3d2d","sha256:123c43c1d60489bcfb0ca522ef48aaacb7af506d9c4a604a0bd4c240eaa52b57"],"state_sha256":"6e0c957906fb007ad032257e17cb4ad062100a36e902a7506bdcf4acd6f2dc7d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MEKk+rY+XZ7OnYcj7uJn0ncz6sG6/kKEXliG1ExnE/FZgUl07P6xhH2amMiEWXDh82tg3wydgcZ6742r2RuQBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T13:48:40.553247Z","bundle_sha256":"7e5ff7746f88c3187d33f7ae4483609373f63dec063903f2c98d9b1c781f190b"}}