{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CYPZD6GWM3ZKFMRZ6AP2XKVBMK","short_pith_number":"pith:CYPZD6GW","canonical_record":{"source":{"id":"1112.3927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-12-16T19:23:21Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","nlin.CD"],"title_canon_sha256":"191c9f24a68095b02975dffa15a44b648dcc768a3ceabe73a8341db865018f82","abstract_canon_sha256":"cd5bce632ce7eff5b84b1644c8b767b2f0cb3f186c1fd0740f643b8aef12f43e"},"schema_version":"1.0"},"canonical_sha256":"161f91f8d666f2a2b239f01fabaaa162a6719fe35849ea7f6cbd6b374d4a5247","source":{"kind":"arxiv","id":"1112.3927","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3927","created_at":"2026-05-18T04:06:07Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3927v1","created_at":"2026-05-18T04:06:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3927","created_at":"2026-05-18T04:06:07Z"},{"alias_kind":"pith_short_12","alias_value":"CYPZD6GWM3ZK","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CYPZD6GWM3ZKFMRZ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CYPZD6GW","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CYPZD6GWM3ZKFMRZ6AP2XKVBMK","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-12-16T19:23:21Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","nlin.CD"],"title_canon_sha256":"191c9f24a68095b02975dffa15a44b648dcc768a3ceabe73a8341db865018f82","abstract_canon_sha256":"cd5bce632ce7eff5b84b1644c8b767b2f0cb3f186c1fd0740f643b8aef12f43e"},"schema_version":"1.0"},"canonical_sha256":"161f91f8d666f2a2b239f01fabaaa162a6719fe35849ea7f6cbd6b374d4a5247","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:07.343495Z","signature_b64":"vctm4bfzIin+GdwtN9xtyr8KndiwkJeDhy3O046HlRc6FDboC/JcKWx8k45eMjIKFvMokFPKUDPf5tiP/qg6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"161f91f8d666f2a2b239f01fabaaa162a6719fe35849ea7f6cbd6b374d4a5247","last_reissued_at":"2026-05-18T04:06:07.342805Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:07.342805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3927","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":"2026-05-18T04:06:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j6ElJXNynjXJdlbJamQXNaNcOCjQ1FWFXPrV776yOQqCvNv8JwiWXThoRD3EP/XCYeYoGFjw8eVx/mtFimt5CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:44:45.516284Z"},"content_sha256":"b02a3df28dc25b9ee355cbe28a8140e00676eb3e14b06608e2d2b7cf8e8fd6fd","schema_version":"1.0","event_id":"sha256:b02a3df28dc25b9ee355cbe28a8140e00676eb3e14b06608e2d2b7cf8e8fd6fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CYPZD6GWM3ZKFMRZ6AP2XKVBMK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reply to the comment of T.Gilbert and D.P.Sanders on \"Capturing correlations in chaotic diffusion by approximation methods\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","nlin.CD"],"primary_cat":"math-ph","authors_text":"Georgie Knight, Rainer Klages","submitted_at":"2011-12-16T19:23:21Z","abstract_excerpt":"This is a reply to the comment by Gilbert and Sanders [arXiv:1111.6271 (2011)]. We point out that their comment is a follow-up of a previous discussion which we briefly summarize before we refute their new criticism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3927","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":"2026-05-18T04:06:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ypKcOl48wEZBeABBMI/FmN2mTdzwXo1vOTl3xVzIykLHxLyNqjXulByy3uevzEjEfiikMfgldfbSnyIYNwGgAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:44:45.516920Z"},"content_sha256":"c40fd829f1fe86c99e2b0073e7e8a32c687f1f029fc96f9f9860c393c3371a26","schema_version":"1.0","event_id":"sha256:c40fd829f1fe86c99e2b0073e7e8a32c687f1f029fc96f9f9860c393c3371a26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYPZD6GWM3ZKFMRZ6AP2XKVBMK/bundle.json","state_url":"https://pith.science/pith/CYPZD6GWM3ZKFMRZ6AP2XKVBMK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYPZD6GWM3ZKFMRZ6AP2XKVBMK/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":"2026-05-28T17:44:45Z","links":{"resolver":"https://pith.science/pith/CYPZD6GWM3ZKFMRZ6AP2XKVBMK","bundle":"https://pith.science/pith/CYPZD6GWM3ZKFMRZ6AP2XKVBMK/bundle.json","state":"https://pith.science/pith/CYPZD6GWM3ZKFMRZ6AP2XKVBMK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYPZD6GWM3ZKFMRZ6AP2XKVBMK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CYPZD6GWM3ZKFMRZ6AP2XKVBMK","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":"cd5bce632ce7eff5b84b1644c8b767b2f0cb3f186c1fd0740f643b8aef12f43e","cross_cats_sorted":["cond-mat.stat-mech","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-12-16T19:23:21Z","title_canon_sha256":"191c9f24a68095b02975dffa15a44b648dcc768a3ceabe73a8341db865018f82"},"schema_version":"1.0","source":{"id":"1112.3927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3927","created_at":"2026-05-18T04:06:07Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3927v1","created_at":"2026-05-18T04:06:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3927","created_at":"2026-05-18T04:06:07Z"},{"alias_kind":"pith_short_12","alias_value":"CYPZD6GWM3ZK","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CYPZD6GWM3ZKFMRZ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CYPZD6GW","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:c40fd829f1fe86c99e2b0073e7e8a32c687f1f029fc96f9f9860c393c3371a26","target":"graph","created_at":"2026-05-18T04:06:07Z","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"},"paper":{"abstract_excerpt":"This is a reply to the comment by Gilbert and Sanders [arXiv:1111.6271 (2011)]. We point out that their comment is a follow-up of a previous discussion which we briefly summarize before we refute their new criticism.","authors_text":"Georgie Knight, Rainer Klages","cross_cats":["cond-mat.stat-mech","math.MP","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-12-16T19:23:21Z","title":"Reply to the comment of T.Gilbert and D.P.Sanders on \"Capturing correlations in chaotic diffusion by approximation methods\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3927","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:b02a3df28dc25b9ee355cbe28a8140e00676eb3e14b06608e2d2b7cf8e8fd6fd","target":"record","created_at":"2026-05-18T04:06:07Z","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":"cd5bce632ce7eff5b84b1644c8b767b2f0cb3f186c1fd0740f643b8aef12f43e","cross_cats_sorted":["cond-mat.stat-mech","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-12-16T19:23:21Z","title_canon_sha256":"191c9f24a68095b02975dffa15a44b648dcc768a3ceabe73a8341db865018f82"},"schema_version":"1.0","source":{"id":"1112.3927","kind":"arxiv","version":1}},"canonical_sha256":"161f91f8d666f2a2b239f01fabaaa162a6719fe35849ea7f6cbd6b374d4a5247","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"161f91f8d666f2a2b239f01fabaaa162a6719fe35849ea7f6cbd6b374d4a5247","first_computed_at":"2026-05-18T04:06:07.342805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:07.342805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vctm4bfzIin+GdwtN9xtyr8KndiwkJeDhy3O046HlRc6FDboC/JcKWx8k45eMjIKFvMokFPKUDPf5tiP/qg6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:07.343495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b02a3df28dc25b9ee355cbe28a8140e00676eb3e14b06608e2d2b7cf8e8fd6fd","sha256:c40fd829f1fe86c99e2b0073e7e8a32c687f1f029fc96f9f9860c393c3371a26"],"state_sha256":"40e7c40be5c6d97611cfa6f651a6a82b3d893d9adcaf5b478217ee38f1ec43e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OKWTkTSpzM+15LZzBoNkUP4XbIiBEUth9UBhT9RlZFa/7f9l0oOuqVtyFLEJLnQO8Tx+eecGsRjwlY/yFMgMCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:44:45.520608Z","bundle_sha256":"9f496114f69c655648cf508900decb5d3485761ab2760caa0b60f13f9dfacb57"}}