{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:57P7GC4L52FMPUDQAWA4BHQIOY","short_pith_number":"pith:57P7GC4L","canonical_record":{"source":{"id":"1211.3103","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-13T20:40:21Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"682e2d456dd6dc506d65b713b0fc2cee6cbdaad2201101c4fa520785689e68e9","abstract_canon_sha256":"0db2ab04f9f1557779bd09d56b5afa53f396a91845abe012fcba32ea78427baf"},"schema_version":"1.0"},"canonical_sha256":"efdff30b8bee8ac7d0700581c09e087600b3f3543ecb0cb19b195150c33386c9","source":{"kind":"arxiv","id":"1211.3103","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3103","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3103v1","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3103","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"pith_short_12","alias_value":"57P7GC4L52FM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"57P7GC4L52FMPUDQ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"57P7GC4L","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:57P7GC4L52FMPUDQAWA4BHQIOY","target":"record","payload":{"canonical_record":{"source":{"id":"1211.3103","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-13T20:40:21Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"682e2d456dd6dc506d65b713b0fc2cee6cbdaad2201101c4fa520785689e68e9","abstract_canon_sha256":"0db2ab04f9f1557779bd09d56b5afa53f396a91845abe012fcba32ea78427baf"},"schema_version":"1.0"},"canonical_sha256":"efdff30b8bee8ac7d0700581c09e087600b3f3543ecb0cb19b195150c33386c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:51.848998Z","signature_b64":"/HaGbk6vMgJA7JTW//+2k1CUkGIr0SCft5HmpIGMvyZExoy47g8zpPEOzbElA7t4ZrAv1x5Pxm9ofc3fQHleCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efdff30b8bee8ac7d0700581c09e087600b3f3543ecb0cb19b195150c33386c9","last_reissued_at":"2026-05-18T03:40:51.848161Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:51.848161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.3103","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":"2026-05-18T03:40:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hsXfq3Wo2Ppcw8DW73T9FqMWcdxYuNO3d04BWkx+JLdCZ6QlmKlgMX7GkLmMwRdKfP+G6tJT7KXMwK0f0koyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:28:08.767508Z"},"content_sha256":"4f1f8e3c38c74040d8fe4ddc170656b38871f1474c6cd1d07372179b52cd3cbd","schema_version":"1.0","event_id":"sha256:4f1f8e3c38c74040d8fe4ddc170656b38871f1474c6cd1d07372179b52cd3cbd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:57P7GC4L52FMPUDQAWA4BHQIOY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of two-resonant biholomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.CV","authors_text":"Jasmin Raissy, Liz Vivas","submitted_at":"2012-11-13T20:40:21Z","abstract_excerpt":"In this paper we study the existence of basins of attraction for germs of 2-resonant biholomorphisms of $\\C^n$ fixing a point, that is germs such that the eigenvalues of the differential at the fixed point have a 2 dimensional family of resonances."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3103","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":"2026-05-18T03:40:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q7lts9ORraTY+e38GwQNCoYXjbXU4C2fAia9tm1a8cI4WndhXqa355FS2uZFd03GZD+c1+RUSWRTdKf//txVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:28:08.767883Z"},"content_sha256":"c51a29bd5faaec486c21aa0c0ca83df2199dc2443a7affb6d952e1813885b25c","schema_version":"1.0","event_id":"sha256:c51a29bd5faaec486c21aa0c0ca83df2199dc2443a7affb6d952e1813885b25c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/57P7GC4L52FMPUDQAWA4BHQIOY/bundle.json","state_url":"https://pith.science/pith/57P7GC4L52FMPUDQAWA4BHQIOY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/57P7GC4L52FMPUDQAWA4BHQIOY/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":"2026-06-02T19:28:08Z","links":{"resolver":"https://pith.science/pith/57P7GC4L52FMPUDQAWA4BHQIOY","bundle":"https://pith.science/pith/57P7GC4L52FMPUDQAWA4BHQIOY/bundle.json","state":"https://pith.science/pith/57P7GC4L52FMPUDQAWA4BHQIOY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/57P7GC4L52FMPUDQAWA4BHQIOY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:57P7GC4L52FMPUDQAWA4BHQIOY","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":"0db2ab04f9f1557779bd09d56b5afa53f396a91845abe012fcba32ea78427baf","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-13T20:40:21Z","title_canon_sha256":"682e2d456dd6dc506d65b713b0fc2cee6cbdaad2201101c4fa520785689e68e9"},"schema_version":"1.0","source":{"id":"1211.3103","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3103","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3103v1","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3103","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"pith_short_12","alias_value":"57P7GC4L52FM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"57P7GC4L52FMPUDQ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"57P7GC4L","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:c51a29bd5faaec486c21aa0c0ca83df2199dc2443a7affb6d952e1813885b25c","target":"graph","created_at":"2026-05-18T03:40:51Z","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":"In this paper we study the existence of basins of attraction for germs of 2-resonant biholomorphisms of $\\C^n$ fixing a point, that is germs such that the eigenvalues of the differential at the fixed point have a 2 dimensional family of resonances.","authors_text":"Jasmin Raissy, Liz Vivas","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-13T20:40:21Z","title":"Dynamics of two-resonant biholomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3103","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":"sha256:4f1f8e3c38c74040d8fe4ddc170656b38871f1474c6cd1d07372179b52cd3cbd","target":"record","created_at":"2026-05-18T03:40:51Z","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":"0db2ab04f9f1557779bd09d56b5afa53f396a91845abe012fcba32ea78427baf","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-13T20:40:21Z","title_canon_sha256":"682e2d456dd6dc506d65b713b0fc2cee6cbdaad2201101c4fa520785689e68e9"},"schema_version":"1.0","source":{"id":"1211.3103","kind":"arxiv","version":1}},"canonical_sha256":"efdff30b8bee8ac7d0700581c09e087600b3f3543ecb0cb19b195150c33386c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efdff30b8bee8ac7d0700581c09e087600b3f3543ecb0cb19b195150c33386c9","first_computed_at":"2026-05-18T03:40:51.848161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:51.848161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/HaGbk6vMgJA7JTW//+2k1CUkGIr0SCft5HmpIGMvyZExoy47g8zpPEOzbElA7t4ZrAv1x5Pxm9ofc3fQHleCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:51.848998Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3103","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f1f8e3c38c74040d8fe4ddc170656b38871f1474c6cd1d07372179b52cd3cbd","sha256:c51a29bd5faaec486c21aa0c0ca83df2199dc2443a7affb6d952e1813885b25c"],"state_sha256":"d77d0a5db56564cc469ab52c90a137835ebacd6e0b5b57c1bffdb374dbc04698"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mdDAHGwh8oov08MI/bxj9b94YhKpq+o79qBazlxaTdFm3DXqcPEmU3JZp8Gdnx5wZUPEphR/ytdFO/O4fsO6Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:28:08.769865Z","bundle_sha256":"1157b4282244b1745448b607c3b8d758de849416e1527ab6e0d49389fd411cba"}}