{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:K4W6ZBVOIBG53VKGFJWBVNE4RE","short_pith_number":"pith:K4W6ZBVO","canonical_record":{"source":{"id":"1309.4601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-18T10:02:53Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"4fe6574f7ad057d6a80b14dc6aa9ecb58ad6f6a333d1a14bcf02db9974ea9c47","abstract_canon_sha256":"46f1dea887f2c8397cff12585199b0670eab7e6a32b9f6e3e677e40182339aae"},"schema_version":"1.0"},"canonical_sha256":"572dec86ae404dddd5462a6c1ab49c8918bafdec4142f8be9feab30046715ed3","source":{"kind":"arxiv","id":"1309.4601","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4601","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4601v1","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4601","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"K4W6ZBVOIBG5","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"K4W6ZBVOIBG53VKG","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"K4W6ZBVO","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:K4W6ZBVOIBG53VKGFJWBVNE4RE","target":"record","payload":{"canonical_record":{"source":{"id":"1309.4601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-18T10:02:53Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"4fe6574f7ad057d6a80b14dc6aa9ecb58ad6f6a333d1a14bcf02db9974ea9c47","abstract_canon_sha256":"46f1dea887f2c8397cff12585199b0670eab7e6a32b9f6e3e677e40182339aae"},"schema_version":"1.0"},"canonical_sha256":"572dec86ae404dddd5462a6c1ab49c8918bafdec4142f8be9feab30046715ed3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:53.174890Z","signature_b64":"/lQqRCyzG3akrWjCJ14/epTnqmNEFwPGig89K5WxUmzJ0Mf6e23HuJnQbyk0R70eZL1vD5fYH1pVFmLsjXGkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"572dec86ae404dddd5462a6c1ab49c8918bafdec4142f8be9feab30046715ed3","last_reissued_at":"2026-05-18T02:38:53.174526Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:53.174526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.4601","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":"2026-05-18T02:38:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kegaPEkUq/DEyjyZeaJVMsym7wrWgE0+KiIJ1liPbwaKcx5firB27hDKlzDsw0YFV3WxW+Cr8vxHxm74srqZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:18:14.006730Z"},"content_sha256":"d9c317260d0879f494e9bbdb92bd96a4a9015c26610e1a18bee52b4d68efb3d6","schema_version":"1.0","event_id":"sha256:d9c317260d0879f494e9bbdb92bd96a4a9015c26610e1a18bee52b4d68efb3d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:K4W6ZBVOIBG53VKGFJWBVNE4RE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Julia set and the fast escaping set of a quasiregular mapping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DS","authors_text":"Alastair Fletcher, Daniel A. Nicks, Walter Bergweiler","submitted_at":"2013-09-18T10:02:53Z","abstract_excerpt":"It is shown that for quasiregular maps of positive lower order the Julia set coincides with the boundary of the fast escaping set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4601","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":"2026-05-18T02:38:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ICihgTCYJjMmx7KpM8K2cXsEdeq3zzEWj3lYijnce2RvVmQas5ykItWQh0jNSjzMS1Wh9b8SNPcCm2fs08qgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:18:14.007383Z"},"content_sha256":"aa3f85301ae8a9d34c0db8071aae1ed9afdc2209962335e5556cc1dd84d5494b","schema_version":"1.0","event_id":"sha256:aa3f85301ae8a9d34c0db8071aae1ed9afdc2209962335e5556cc1dd84d5494b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K4W6ZBVOIBG53VKGFJWBVNE4RE/bundle.json","state_url":"https://pith.science/pith/K4W6ZBVOIBG53VKGFJWBVNE4RE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K4W6ZBVOIBG53VKGFJWBVNE4RE/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":"2026-05-27T17:18:14Z","links":{"resolver":"https://pith.science/pith/K4W6ZBVOIBG53VKGFJWBVNE4RE","bundle":"https://pith.science/pith/K4W6ZBVOIBG53VKGFJWBVNE4RE/bundle.json","state":"https://pith.science/pith/K4W6ZBVOIBG53VKGFJWBVNE4RE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K4W6ZBVOIBG53VKGFJWBVNE4RE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:K4W6ZBVOIBG53VKGFJWBVNE4RE","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":"46f1dea887f2c8397cff12585199b0670eab7e6a32b9f6e3e677e40182339aae","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-18T10:02:53Z","title_canon_sha256":"4fe6574f7ad057d6a80b14dc6aa9ecb58ad6f6a333d1a14bcf02db9974ea9c47"},"schema_version":"1.0","source":{"id":"1309.4601","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4601","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4601v1","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4601","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"K4W6ZBVOIBG5","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"K4W6ZBVOIBG53VKG","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"K4W6ZBVO","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:aa3f85301ae8a9d34c0db8071aae1ed9afdc2209962335e5556cc1dd84d5494b","target":"graph","created_at":"2026-05-18T02:38:53Z","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":"It is shown that for quasiregular maps of positive lower order the Julia set coincides with the boundary of the fast escaping set.","authors_text":"Alastair Fletcher, Daniel A. Nicks, Walter Bergweiler","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-18T10:02:53Z","title":"The Julia set and the fast escaping set of a quasiregular mapping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4601","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:d9c317260d0879f494e9bbdb92bd96a4a9015c26610e1a18bee52b4d68efb3d6","target":"record","created_at":"2026-05-18T02:38:53Z","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":"46f1dea887f2c8397cff12585199b0670eab7e6a32b9f6e3e677e40182339aae","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-18T10:02:53Z","title_canon_sha256":"4fe6574f7ad057d6a80b14dc6aa9ecb58ad6f6a333d1a14bcf02db9974ea9c47"},"schema_version":"1.0","source":{"id":"1309.4601","kind":"arxiv","version":1}},"canonical_sha256":"572dec86ae404dddd5462a6c1ab49c8918bafdec4142f8be9feab30046715ed3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"572dec86ae404dddd5462a6c1ab49c8918bafdec4142f8be9feab30046715ed3","first_computed_at":"2026-05-18T02:38:53.174526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:53.174526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/lQqRCyzG3akrWjCJ14/epTnqmNEFwPGig89K5WxUmzJ0Mf6e23HuJnQbyk0R70eZL1vD5fYH1pVFmLsjXGkCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:53.174890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4601","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9c317260d0879f494e9bbdb92bd96a4a9015c26610e1a18bee52b4d68efb3d6","sha256:aa3f85301ae8a9d34c0db8071aae1ed9afdc2209962335e5556cc1dd84d5494b"],"state_sha256":"b3f896c17957af908315db2bf292914c79e39ced44afeca6eea2263a02b198f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aNvPvlx+9dNPVXOaqpXAyT1OAzD12z4bojZA7CE9KuMF8Sa1SzB/YSnPnaXA/iMIf00nmarETfiMRK+3j0tDBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:18:14.010356Z","bundle_sha256":"aee1a3b550b1737a0ff03175092770d744937ae8846b591ec07d73c7532dca2b"}}