{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FU53ELSYW4AZE7YDKCYQNJ3FEM","short_pith_number":"pith:FU53ELSY","canonical_record":{"source":{"id":"1506.04639","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-06-15T15:49:03Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"6f975c86e44ee916a9865a2775b0ec35c3e25262018f8fd7bd8293933607765e","abstract_canon_sha256":"8e5eac8c6db88f458eb1f6e4f3c922f580e211b1f4551114e0f1b2572f4f3ef3"},"schema_version":"1.0"},"canonical_sha256":"2d3bb22e58b701927f0350b106a765231c70ec9767128f8c7ef25eb02cf932ff","source":{"kind":"arxiv","id":"1506.04639","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04639","created_at":"2026-05-18T01:49:25Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04639v1","created_at":"2026-05-18T01:49:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04639","created_at":"2026-05-18T01:49:25Z"},{"alias_kind":"pith_short_12","alias_value":"FU53ELSYW4AZ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FU53ELSYW4AZE7YD","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FU53ELSY","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FU53ELSYW4AZE7YDKCYQNJ3FEM","target":"record","payload":{"canonical_record":{"source":{"id":"1506.04639","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-06-15T15:49:03Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"6f975c86e44ee916a9865a2775b0ec35c3e25262018f8fd7bd8293933607765e","abstract_canon_sha256":"8e5eac8c6db88f458eb1f6e4f3c922f580e211b1f4551114e0f1b2572f4f3ef3"},"schema_version":"1.0"},"canonical_sha256":"2d3bb22e58b701927f0350b106a765231c70ec9767128f8c7ef25eb02cf932ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:25.321393Z","signature_b64":"Qe68CJ8m0m0SYkPzpPHMdoj3tJpc+h/5mdARqi+PVd8WoRSgatSWj49fGea88DDPA9n+UVT9g8h5LxWKB98IBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d3bb22e58b701927f0350b106a765231c70ec9767128f8c7ef25eb02cf932ff","last_reissued_at":"2026-05-18T01:49:25.320720Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:25.320720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.04639","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":"2026-05-18T01:49:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5pVK0rS4EsqDkhsWuH5yVOCgXUf0fNkatfT8rbUx1L1Zq/N46MQk3p/fNmPDdscogPWZ0BvSKgtvmuTLzOdKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:16:21.792489Z"},"content_sha256":"de85f0b7231c064108ba9c9971c923190ec2e9ec43504c8b0810c223e0008af5","schema_version":"1.0","event_id":"sha256:de85f0b7231c064108ba9c9971c923190ec2e9ec43504c8b0810c223e0008af5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FU53ELSYW4AZE7YDKCYQNJ3FEM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Braid Equivalence in the H\\'enon Family I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DS","authors_text":"Andr\\'e de Carvalho, Peter Hazard, Toby Hall","submitted_at":"2015-06-15T15:49:03Z","abstract_excerpt":"We give two general constructions of braid equivalences which exist between certain deformations of the 2-branched Horsehoe map. We then give numerical evidence suggesting that these constructions of braid equivalences are always realised in the H\\'enon family."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04639","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":"2026-05-18T01:49:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+WRPx5rCkpu3RNK++XRYgP1FPYWKkOZ/mfGvHNyPg9AJ649+kZtfYsR2wqPTnQWLidZXWAue8MTT2CfcOpv/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:16:21.792835Z"},"content_sha256":"7c9ce21e1a0855eb3cf3e5adf68b45d1c187a77f52a7ab16bff4dd828db4c2ba","schema_version":"1.0","event_id":"sha256:7c9ce21e1a0855eb3cf3e5adf68b45d1c187a77f52a7ab16bff4dd828db4c2ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FU53ELSYW4AZE7YDKCYQNJ3FEM/bundle.json","state_url":"https://pith.science/pith/FU53ELSYW4AZE7YDKCYQNJ3FEM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FU53ELSYW4AZE7YDKCYQNJ3FEM/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":"2026-05-26T18:16:21Z","links":{"resolver":"https://pith.science/pith/FU53ELSYW4AZE7YDKCYQNJ3FEM","bundle":"https://pith.science/pith/FU53ELSYW4AZE7YDKCYQNJ3FEM/bundle.json","state":"https://pith.science/pith/FU53ELSYW4AZE7YDKCYQNJ3FEM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FU53ELSYW4AZE7YDKCYQNJ3FEM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FU53ELSYW4AZE7YDKCYQNJ3FEM","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":"8e5eac8c6db88f458eb1f6e4f3c922f580e211b1f4551114e0f1b2572f4f3ef3","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-06-15T15:49:03Z","title_canon_sha256":"6f975c86e44ee916a9865a2775b0ec35c3e25262018f8fd7bd8293933607765e"},"schema_version":"1.0","source":{"id":"1506.04639","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04639","created_at":"2026-05-18T01:49:25Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04639v1","created_at":"2026-05-18T01:49:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04639","created_at":"2026-05-18T01:49:25Z"},{"alias_kind":"pith_short_12","alias_value":"FU53ELSYW4AZ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FU53ELSYW4AZE7YD","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FU53ELSY","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:7c9ce21e1a0855eb3cf3e5adf68b45d1c187a77f52a7ab16bff4dd828db4c2ba","target":"graph","created_at":"2026-05-18T01:49:25Z","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 two general constructions of braid equivalences which exist between certain deformations of the 2-branched Horsehoe map. We then give numerical evidence suggesting that these constructions of braid equivalences are always realised in the H\\'enon family.","authors_text":"Andr\\'e de Carvalho, Peter Hazard, Toby Hall","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-06-15T15:49:03Z","title":"Braid Equivalence in the H\\'enon Family I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04639","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:de85f0b7231c064108ba9c9971c923190ec2e9ec43504c8b0810c223e0008af5","target":"record","created_at":"2026-05-18T01:49:25Z","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":"8e5eac8c6db88f458eb1f6e4f3c922f580e211b1f4551114e0f1b2572f4f3ef3","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-06-15T15:49:03Z","title_canon_sha256":"6f975c86e44ee916a9865a2775b0ec35c3e25262018f8fd7bd8293933607765e"},"schema_version":"1.0","source":{"id":"1506.04639","kind":"arxiv","version":1}},"canonical_sha256":"2d3bb22e58b701927f0350b106a765231c70ec9767128f8c7ef25eb02cf932ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d3bb22e58b701927f0350b106a765231c70ec9767128f8c7ef25eb02cf932ff","first_computed_at":"2026-05-18T01:49:25.320720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:25.320720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qe68CJ8m0m0SYkPzpPHMdoj3tJpc+h/5mdARqi+PVd8WoRSgatSWj49fGea88DDPA9n+UVT9g8h5LxWKB98IBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:25.321393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.04639","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de85f0b7231c064108ba9c9971c923190ec2e9ec43504c8b0810c223e0008af5","sha256:7c9ce21e1a0855eb3cf3e5adf68b45d1c187a77f52a7ab16bff4dd828db4c2ba"],"state_sha256":"1a71d51d942996b69aeb0b2e8c23a61e252d0849f16dd49f588f74bd9fc1d787"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gkMKBxK5G7xYWxyCZQodWZ31aq+BqlWXRljYYCaYz2n7Z3g671KSsBVbFn/XgEo0ZXGYzVb1oyqvSdm3shN9Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:16:21.795518Z","bundle_sha256":"f8e8008dfa42d96d89b58c42dd1df228fde0acd1563f1166176a7962265af067"}}