{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RY6EAFN7WYUWTBODS3KQOJM4P2","short_pith_number":"pith:RY6EAFN7","canonical_record":{"source":{"id":"1211.2454","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-11T19:40:20Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"e634dc7d27fb6d485f5e52ba1d5d0dfac058d6b0ab38d9d7a9468bf07dde3830","abstract_canon_sha256":"187d2ca866e3d90a4ed50e7f16762d3dca11151bf8b6b28ccd7cd0d191d55ee3"},"schema_version":"1.0"},"canonical_sha256":"8e3c4015bfb6296985c396d507259c7eaa60af2c1c07b5a7bcdfd73d59fc7030","source":{"kind":"arxiv","id":"1211.2454","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2454","created_at":"2026-05-18T03:41:03Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2454v1","created_at":"2026-05-18T03:41:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2454","created_at":"2026-05-18T03:41:03Z"},{"alias_kind":"pith_short_12","alias_value":"RY6EAFN7WYUW","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RY6EAFN7WYUWTBOD","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RY6EAFN7","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RY6EAFN7WYUWTBODS3KQOJM4P2","target":"record","payload":{"canonical_record":{"source":{"id":"1211.2454","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-11T19:40:20Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"e634dc7d27fb6d485f5e52ba1d5d0dfac058d6b0ab38d9d7a9468bf07dde3830","abstract_canon_sha256":"187d2ca866e3d90a4ed50e7f16762d3dca11151bf8b6b28ccd7cd0d191d55ee3"},"schema_version":"1.0"},"canonical_sha256":"8e3c4015bfb6296985c396d507259c7eaa60af2c1c07b5a7bcdfd73d59fc7030","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:03.287336Z","signature_b64":"zqGhC72sKVdwURE1Krenbk6g9PAp+QreN59E9mU0ZHdAcE1K1eap67sdSne8TlTP/ugDaNCJ5jtThxTcaMtQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e3c4015bfb6296985c396d507259c7eaa60af2c1c07b5a7bcdfd73d59fc7030","last_reissued_at":"2026-05-18T03:41:03.286680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:03.286680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.2454","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":"2026-05-18T03:41:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MgoFH4woM/pKM4zXNov0LZ0+fjRZ/+xpOW402KZxxAJ3NXxjoKwMrkQgq5Vc1guICiXFbuTKYp6RY44O4c7tCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:55:52.581747Z"},"content_sha256":"40b7f68ab34e17b8ed7c4529280e707f219bf112cac1f565727ae9df70730892","schema_version":"1.0","event_id":"sha256:40b7f68ab34e17b8ed7c4529280e707f219bf112cac1f565727ae9df70730892"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RY6EAFN7WYUWTBODS3KQOJM4P2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wolff-Denjoy theorems in non-smooth convex domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.CV","authors_text":"Jasmin Raissy, Marco Abate","submitted_at":"2012-11-11T19:40:20Z","abstract_excerpt":"We give a short proof of Wolff-Denjoy theorem for (not necessarily smooth) strictly convex domains. With similar techniques we are also able to prove a Wolff-Denjoy theorem for weakly convex domains, again without any smoothness assumption on the boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2454","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":"2026-05-18T03:41:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UdtTewz6CO9G+e2oBECSRPMSlbB0Fu6Gsf/3E9NGqqxTHa2yAmVJaROUxUEL8SM/Lq7WwDwXQT7RqmLEHawkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:55:52.582093Z"},"content_sha256":"d295d227fa49fc5cc0c3747a24d379861c7bf1d5d0e3027201d172ec170c5849","schema_version":"1.0","event_id":"sha256:d295d227fa49fc5cc0c3747a24d379861c7bf1d5d0e3027201d172ec170c5849"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RY6EAFN7WYUWTBODS3KQOJM4P2/bundle.json","state_url":"https://pith.science/pith/RY6EAFN7WYUWTBODS3KQOJM4P2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RY6EAFN7WYUWTBODS3KQOJM4P2/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":"2026-06-02T20:55:52Z","links":{"resolver":"https://pith.science/pith/RY6EAFN7WYUWTBODS3KQOJM4P2","bundle":"https://pith.science/pith/RY6EAFN7WYUWTBODS3KQOJM4P2/bundle.json","state":"https://pith.science/pith/RY6EAFN7WYUWTBODS3KQOJM4P2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RY6EAFN7WYUWTBODS3KQOJM4P2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RY6EAFN7WYUWTBODS3KQOJM4P2","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":"187d2ca866e3d90a4ed50e7f16762d3dca11151bf8b6b28ccd7cd0d191d55ee3","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-11T19:40:20Z","title_canon_sha256":"e634dc7d27fb6d485f5e52ba1d5d0dfac058d6b0ab38d9d7a9468bf07dde3830"},"schema_version":"1.0","source":{"id":"1211.2454","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2454","created_at":"2026-05-18T03:41:03Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2454v1","created_at":"2026-05-18T03:41:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2454","created_at":"2026-05-18T03:41:03Z"},{"alias_kind":"pith_short_12","alias_value":"RY6EAFN7WYUW","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RY6EAFN7WYUWTBOD","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RY6EAFN7","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:d295d227fa49fc5cc0c3747a24d379861c7bf1d5d0e3027201d172ec170c5849","target":"graph","created_at":"2026-05-18T03:41:03Z","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 give a short proof of Wolff-Denjoy theorem for (not necessarily smooth) strictly convex domains. With similar techniques we are also able to prove a Wolff-Denjoy theorem for weakly convex domains, again without any smoothness assumption on the boundary.","authors_text":"Jasmin Raissy, Marco Abate","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-11T19:40:20Z","title":"Wolff-Denjoy theorems in non-smooth convex domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2454","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":"sha256:40b7f68ab34e17b8ed7c4529280e707f219bf112cac1f565727ae9df70730892","target":"record","created_at":"2026-05-18T03:41:03Z","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":"187d2ca866e3d90a4ed50e7f16762d3dca11151bf8b6b28ccd7cd0d191d55ee3","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-11T19:40:20Z","title_canon_sha256":"e634dc7d27fb6d485f5e52ba1d5d0dfac058d6b0ab38d9d7a9468bf07dde3830"},"schema_version":"1.0","source":{"id":"1211.2454","kind":"arxiv","version":1}},"canonical_sha256":"8e3c4015bfb6296985c396d507259c7eaa60af2c1c07b5a7bcdfd73d59fc7030","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e3c4015bfb6296985c396d507259c7eaa60af2c1c07b5a7bcdfd73d59fc7030","first_computed_at":"2026-05-18T03:41:03.286680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:03.286680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zqGhC72sKVdwURE1Krenbk6g9PAp+QreN59E9mU0ZHdAcE1K1eap67sdSne8TlTP/ugDaNCJ5jtThxTcaMtQDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:03.287336Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2454","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40b7f68ab34e17b8ed7c4529280e707f219bf112cac1f565727ae9df70730892","sha256:d295d227fa49fc5cc0c3747a24d379861c7bf1d5d0e3027201d172ec170c5849"],"state_sha256":"30f8c140eddca77454bedcd6d218a19ce4b97092aabf2e71830e93db2639fd7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AuhnJDL7Myh0dAON8V/HmH5B5PPXa/BgTSV6t+1UmNwYU9brn6fpZpaukgxh3fUdny28O31M+kX/csXq/6WiDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:55:52.584698Z","bundle_sha256":"8c6bec3cc9044f0fddf5f49e6e15d528109554880c89c0cf58e9471e7bbdeafb"}}