{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:AA2BYEFSQR44DR5WC7T4WDG5CW","short_pith_number":"pith:AA2BYEFS","canonical_record":{"source":{"id":"2411.03529","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-05T22:08:58Z","cross_cats_sorted":[],"title_canon_sha256":"169817d84dce7a90cb7aa6183dfc403a7e13da32815aa5b531b6d8941b7a1d1b","abstract_canon_sha256":"1ace023cd741e5245130cb31011409c4a0c03ed89e886fcdbf914f37f89f9685"},"schema_version":"1.0"},"canonical_sha256":"00341c10b28479c1c7b617e7cb0cdd1587da6df128a9fc255ae9dbf0cf5b83ce","source":{"kind":"arxiv","id":"2411.03529","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.03529","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"arxiv_version","alias_value":"2411.03529v2","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.03529","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_12","alias_value":"AA2BYEFSQR44","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_16","alias_value":"AA2BYEFSQR44DR5W","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_8","alias_value":"AA2BYEFS","created_at":"2026-07-05T11:43:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:AA2BYEFSQR44DR5WC7T4WDG5CW","target":"record","payload":{"canonical_record":{"source":{"id":"2411.03529","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-05T22:08:58Z","cross_cats_sorted":[],"title_canon_sha256":"169817d84dce7a90cb7aa6183dfc403a7e13da32815aa5b531b6d8941b7a1d1b","abstract_canon_sha256":"1ace023cd741e5245130cb31011409c4a0c03ed89e886fcdbf914f37f89f9685"},"schema_version":"1.0"},"canonical_sha256":"00341c10b28479c1c7b617e7cb0cdd1587da6df128a9fc255ae9dbf0cf5b83ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:43:58.327351Z","signature_b64":"R2KrW8za1OGCB+eDjmGTFKWkoHuF+AN1Ip2obLgMHO38vWs5VN6OzExs+oCAeLt5v0fOVbPDwsw9ieAj3BLpAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00341c10b28479c1c7b617e7cb0cdd1587da6df128a9fc255ae9dbf0cf5b83ce","last_reissued_at":"2026-07-05T11:43:58.326856Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:43:58.326856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.03529","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":"2026-07-05T11:43:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qeu2i3d5jlPlVqw/1v2AvmvZQgKsIhGRNAcNAKy5ISutc1xWWav1TldGJFREgNmH76h8dwQ87KfvDAhj4IXCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T04:27:02.253848Z"},"content_sha256":"1fcc8fe55686f0eace9d0a5a054054fd3b938040e53dce3efb96548793d1afb6","schema_version":"1.0","event_id":"sha256:1fcc8fe55686f0eace9d0a5a054054fd3b938040e53dce3efb96548793d1afb6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:AA2BYEFSQR44DR5WC7T4WDG5CW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coincidence rank and multivariate equicontinuity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Felipe Garc\\'ia-Ramos, Irma Le\\'on-Torres","submitted_at":"2024-11-05T22:08:58Z","abstract_excerpt":"The coincidence rank, introduced by Barge and Kwapisz, measures the regularity of the maximal equicontinuous factor of minimal dynamical systems. We provide a characterization of the finiteness of coincidence rank using a multivariate notion of equicontinuity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.03529","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/2411.03529/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":"2026-07-05T11:43:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lUuS1/wm+aiTIfhB0IKjnhA0KK6XLwC8+TxYhNuryOPQf0za6xqz8MZJUTFpdJPM5B4iK7yNNWCCeZz+UBwQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T04:27:02.254326Z"},"content_sha256":"61a334df090d5f678bf7f684b8cda720f3dd96d2c34f52e8c12a897470de09c3","schema_version":"1.0","event_id":"sha256:61a334df090d5f678bf7f684b8cda720f3dd96d2c34f52e8c12a897470de09c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AA2BYEFSQR44DR5WC7T4WDG5CW/bundle.json","state_url":"https://pith.science/pith/AA2BYEFSQR44DR5WC7T4WDG5CW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AA2BYEFSQR44DR5WC7T4WDG5CW/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":"2026-08-21T04:27:02Z","links":{"resolver":"https://pith.science/pith/AA2BYEFSQR44DR5WC7T4WDG5CW","bundle":"https://pith.science/pith/AA2BYEFSQR44DR5WC7T4WDG5CW/bundle.json","state":"https://pith.science/pith/AA2BYEFSQR44DR5WC7T4WDG5CW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AA2BYEFSQR44DR5WC7T4WDG5CW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AA2BYEFSQR44DR5WC7T4WDG5CW","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":"1ace023cd741e5245130cb31011409c4a0c03ed89e886fcdbf914f37f89f9685","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-05T22:08:58Z","title_canon_sha256":"169817d84dce7a90cb7aa6183dfc403a7e13da32815aa5b531b6d8941b7a1d1b"},"schema_version":"1.0","source":{"id":"2411.03529","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.03529","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"arxiv_version","alias_value":"2411.03529v2","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.03529","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_12","alias_value":"AA2BYEFSQR44","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_16","alias_value":"AA2BYEFSQR44DR5W","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_8","alias_value":"AA2BYEFS","created_at":"2026-07-05T11:43:58Z"}],"graph_snapshots":[{"event_id":"sha256:61a334df090d5f678bf7f684b8cda720f3dd96d2c34f52e8c12a897470de09c3","target":"graph","created_at":"2026-07-05T11:43:58Z","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/2411.03529/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The coincidence rank, introduced by Barge and Kwapisz, measures the regularity of the maximal equicontinuous factor of minimal dynamical systems. We provide a characterization of the finiteness of coincidence rank using a multivariate notion of equicontinuity.","authors_text":"Felipe Garc\\'ia-Ramos, Irma Le\\'on-Torres","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-05T22:08:58Z","title":"Coincidence rank and multivariate equicontinuity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.03529","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":"sha256:1fcc8fe55686f0eace9d0a5a054054fd3b938040e53dce3efb96548793d1afb6","target":"record","created_at":"2026-07-05T11:43:58Z","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":"1ace023cd741e5245130cb31011409c4a0c03ed89e886fcdbf914f37f89f9685","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-05T22:08:58Z","title_canon_sha256":"169817d84dce7a90cb7aa6183dfc403a7e13da32815aa5b531b6d8941b7a1d1b"},"schema_version":"1.0","source":{"id":"2411.03529","kind":"arxiv","version":2}},"canonical_sha256":"00341c10b28479c1c7b617e7cb0cdd1587da6df128a9fc255ae9dbf0cf5b83ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00341c10b28479c1c7b617e7cb0cdd1587da6df128a9fc255ae9dbf0cf5b83ce","first_computed_at":"2026-07-05T11:43:58.326856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:43:58.326856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R2KrW8za1OGCB+eDjmGTFKWkoHuF+AN1Ip2obLgMHO38vWs5VN6OzExs+oCAeLt5v0fOVbPDwsw9ieAj3BLpAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:43:58.327351Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.03529","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fcc8fe55686f0eace9d0a5a054054fd3b938040e53dce3efb96548793d1afb6","sha256:61a334df090d5f678bf7f684b8cda720f3dd96d2c34f52e8c12a897470de09c3"],"state_sha256":"c17cb710dd1297ab4ed1963162067d46b3f952d5425b500a212cecd674c2542b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dC+E81pAsmSxx+bao3snPH8a2VGaR/3KyOKeLzmrRT7w+THsfTRoEO5GJXEMbNBRzin+zsU8oOzWVpZf4t7dDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T04:27:02.258989Z","bundle_sha256":"f6d3a2a1dc7c23750ea9f50258d02977b3688575221cac9d64ba1f78412d30af"}}