{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QBOEMHL62CGOP6BDNUEPMXRPFW","short_pith_number":"pith:QBOEMHL6","canonical_record":{"source":{"id":"1601.04786","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-01-19T03:32:16Z","cross_cats_sorted":[],"title_canon_sha256":"b6caf6629d4c7902d41f3bfa7aa868168875564e9e909531993b2a53ce94348b","abstract_canon_sha256":"9eccd59599343f21fef5c29a5fe30b057e99a42862d6a1dff47933a8081fcbda"},"schema_version":"1.0"},"canonical_sha256":"805c461d7ed08ce7f8236d08f65e2f2d920c25ffc4dcf7579ce836cf32d01024","source":{"kind":"arxiv","id":"1601.04786","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04786","created_at":"2026-05-18T01:22:31Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04786v1","created_at":"2026-05-18T01:22:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04786","created_at":"2026-05-18T01:22:31Z"},{"alias_kind":"pith_short_12","alias_value":"QBOEMHL62CGO","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QBOEMHL62CGOP6BD","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QBOEMHL6","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QBOEMHL62CGOP6BDNUEPMXRPFW","target":"record","payload":{"canonical_record":{"source":{"id":"1601.04786","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-01-19T03:32:16Z","cross_cats_sorted":[],"title_canon_sha256":"b6caf6629d4c7902d41f3bfa7aa868168875564e9e909531993b2a53ce94348b","abstract_canon_sha256":"9eccd59599343f21fef5c29a5fe30b057e99a42862d6a1dff47933a8081fcbda"},"schema_version":"1.0"},"canonical_sha256":"805c461d7ed08ce7f8236d08f65e2f2d920c25ffc4dcf7579ce836cf32d01024","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:31.832925Z","signature_b64":"nTXboz0DAl0kfZ87zeJz8+XzKObT75JPg0LUvX9rmSm93NvLMFBLIWeftgn8ii/xxyEMoqsPhdV2K/oOsm2pBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"805c461d7ed08ce7f8236d08f65e2f2d920c25ffc4dcf7579ce836cf32d01024","last_reissued_at":"2026-05-18T01:22:31.832431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:31.832431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.04786","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":"2026-05-18T01:22:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1RL2MVhvGER4C5sifuxgaHmMJR8GbWDgUlzOTrq9bBnu/BCaawicxxdSBPmGn2oIht7ar+nz7/uKOUzSFT20AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:57:13.563632Z"},"content_sha256":"5e106374380aa4ee6b349c3a83ec5a76e9d4e16bd11d1ba11adaa1956f9d120d","schema_version":"1.0","event_id":"sha256:5e106374380aa4ee6b349c3a83ec5a76e9d4e16bd11d1ba11adaa1956f9d120d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QBOEMHL62CGOP6BDNUEPMXRPFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hausdorff Dimension of Generalized Fibonacci Word Fractals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Benjamin Steinhurst, Tyler Hoffman","submitted_at":"2016-01-19T03:32:16Z","abstract_excerpt":"Fibonacci word fractals are a class of fractals that have been studied recently, though the word they are generated from is more widely studied in combinatorics. The Fibonacci word can be used to draw a curve which possesses self-similarities determined by the recursive structure of the word. The Hausdorff dimension of the scaling limit of the finite Fibonacci word curves is computed for $i$-Fibonacci curves and any drawing angle between $0$ and $\\pi/2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04786","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":"2026-05-18T01:22:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XfYiIdOxce7+vF33mcwybT6lxuaTATqNV1AuAri1waU6k4vigu0QjymRCU84Z/cmJkypYiirqBpXO4zFZPISCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:57:13.564366Z"},"content_sha256":"7dbb5a6d04ecec1f532ac72525b85a452dfbab9b3fa0dea601fd0eb71332935c","schema_version":"1.0","event_id":"sha256:7dbb5a6d04ecec1f532ac72525b85a452dfbab9b3fa0dea601fd0eb71332935c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBOEMHL62CGOP6BDNUEPMXRPFW/bundle.json","state_url":"https://pith.science/pith/QBOEMHL62CGOP6BDNUEPMXRPFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBOEMHL62CGOP6BDNUEPMXRPFW/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":"2026-06-09T01:57:13Z","links":{"resolver":"https://pith.science/pith/QBOEMHL62CGOP6BDNUEPMXRPFW","bundle":"https://pith.science/pith/QBOEMHL62CGOP6BDNUEPMXRPFW/bundle.json","state":"https://pith.science/pith/QBOEMHL62CGOP6BDNUEPMXRPFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBOEMHL62CGOP6BDNUEPMXRPFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QBOEMHL62CGOP6BDNUEPMXRPFW","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":"9eccd59599343f21fef5c29a5fe30b057e99a42862d6a1dff47933a8081fcbda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-01-19T03:32:16Z","title_canon_sha256":"b6caf6629d4c7902d41f3bfa7aa868168875564e9e909531993b2a53ce94348b"},"schema_version":"1.0","source":{"id":"1601.04786","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04786","created_at":"2026-05-18T01:22:31Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04786v1","created_at":"2026-05-18T01:22:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04786","created_at":"2026-05-18T01:22:31Z"},{"alias_kind":"pith_short_12","alias_value":"QBOEMHL62CGO","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QBOEMHL62CGOP6BD","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QBOEMHL6","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:7dbb5a6d04ecec1f532ac72525b85a452dfbab9b3fa0dea601fd0eb71332935c","target":"graph","created_at":"2026-05-18T01:22:31Z","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":"Fibonacci word fractals are a class of fractals that have been studied recently, though the word they are generated from is more widely studied in combinatorics. The Fibonacci word can be used to draw a curve which possesses self-similarities determined by the recursive structure of the word. The Hausdorff dimension of the scaling limit of the finite Fibonacci word curves is computed for $i$-Fibonacci curves and any drawing angle between $0$ and $\\pi/2$.","authors_text":"Benjamin Steinhurst, Tyler Hoffman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-01-19T03:32:16Z","title":"Hausdorff Dimension of Generalized Fibonacci Word Fractals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04786","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":"sha256:5e106374380aa4ee6b349c3a83ec5a76e9d4e16bd11d1ba11adaa1956f9d120d","target":"record","created_at":"2026-05-18T01:22:31Z","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":"9eccd59599343f21fef5c29a5fe30b057e99a42862d6a1dff47933a8081fcbda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-01-19T03:32:16Z","title_canon_sha256":"b6caf6629d4c7902d41f3bfa7aa868168875564e9e909531993b2a53ce94348b"},"schema_version":"1.0","source":{"id":"1601.04786","kind":"arxiv","version":1}},"canonical_sha256":"805c461d7ed08ce7f8236d08f65e2f2d920c25ffc4dcf7579ce836cf32d01024","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"805c461d7ed08ce7f8236d08f65e2f2d920c25ffc4dcf7579ce836cf32d01024","first_computed_at":"2026-05-18T01:22:31.832431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:31.832431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nTXboz0DAl0kfZ87zeJz8+XzKObT75JPg0LUvX9rmSm93NvLMFBLIWeftgn8ii/xxyEMoqsPhdV2K/oOsm2pBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:31.832925Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04786","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e106374380aa4ee6b349c3a83ec5a76e9d4e16bd11d1ba11adaa1956f9d120d","sha256:7dbb5a6d04ecec1f532ac72525b85a452dfbab9b3fa0dea601fd0eb71332935c"],"state_sha256":"ad1b0c0890b03bb9b071d947a2e5dc55b63069392cd4f2e577e284a9cee57fc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1L8IpSw99RbiIL+518jy6TmjL1oR/2QWucSX8KnoO5tROpsz7Y0h01OB1jvvo7bEY/BI+VWAxsGbgXSHoKSGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T01:57:13.567958Z","bundle_sha256":"c44b8de01f5b48403f9575fa0663f96c806d958f8636e38522f503d577992a5d"}}