{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IPMGROCLHTW2L7SCP54F2SIBN5","short_pith_number":"pith:IPMGROCL","canonical_record":{"source":{"id":"1709.00956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-09-04T13:45:38Z","cross_cats_sorted":[],"title_canon_sha256":"11fffdd3c7ee897d5380b1da35b512ff1843f2b29c6aea38557b806ec2306d1a","abstract_canon_sha256":"24013ad535eff44e287873080a57c1e8e72c0e991477898b0ad27ebce37d4e37"},"schema_version":"1.0"},"canonical_sha256":"43d868b84b3ceda5fe427f785d49016f4ee6a5e6320ea135d7c9944a86eedfb9","source":{"kind":"arxiv","id":"1709.00956","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00956","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00956v2","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00956","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"IPMGROCLHTW2","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IPMGROCLHTW2L7SC","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IPMGROCL","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IPMGROCLHTW2L7SCP54F2SIBN5","target":"record","payload":{"canonical_record":{"source":{"id":"1709.00956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-09-04T13:45:38Z","cross_cats_sorted":[],"title_canon_sha256":"11fffdd3c7ee897d5380b1da35b512ff1843f2b29c6aea38557b806ec2306d1a","abstract_canon_sha256":"24013ad535eff44e287873080a57c1e8e72c0e991477898b0ad27ebce37d4e37"},"schema_version":"1.0"},"canonical_sha256":"43d868b84b3ceda5fe427f785d49016f4ee6a5e6320ea135d7c9944a86eedfb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:03.704792Z","signature_b64":"qawk/8iLPgTZpBV9VzO+b29wOKFspF/6cSXK8JhW0oId1PT9rPiU55s+SA5FQ//JRk1sYF5jBXsKeWEUj+CPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43d868b84b3ceda5fe427f785d49016f4ee6a5e6320ea135d7c9944a86eedfb9","last_reissued_at":"2026-05-18T00:19:03.703896Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:03.703896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.00956","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N6sci+itjsJE95snYIoqBcF1WKOtKN5R14f7RoCkHIOUjm4+24042FiYxn8SHh1XGc+b1MJ7d3JszL/fi1QODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:18:42.680656Z"},"content_sha256":"2c46cca7ca277438c403c269206a924b6fbc7c8e5ef193e5d10d77ff81cc2d80","schema_version":"1.0","event_id":"sha256:2c46cca7ca277438c403c269206a924b6fbc7c8e5ef193e5d10d77ff81cc2d80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IPMGROCLHTW2L7SCP54F2SIBN5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Construction of infinite series of non-simple ideal hyperbolic Coxeter 4-polytopes and their growth rates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Tomoshige Yukita","submitted_at":"2017-09-04T13:45:38Z","abstract_excerpt":"We construct infinite series of non-simple ideal hyperbolic Coxeter 4-polytopes whose growth rates are Perron numbers. This infinite series is the first example of such a non-compact infinite polytopal series."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00956","kind":"arxiv","version":2},"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":"2026-05-18T00:19:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5hQVHId/U+UYzPQZOQIaxXwEphhbkRTFLOQfNcC7LAoei+/LLoQdQUzjvaAZME/NEUhzUM4welWFR7NnVYT9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:18:42.681005Z"},"content_sha256":"72ab2b9fd84a9924e8391153273cdf3c653edf4945fc02c67c44ae3ec31f27c9","schema_version":"1.0","event_id":"sha256:72ab2b9fd84a9924e8391153273cdf3c653edf4945fc02c67c44ae3ec31f27c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IPMGROCLHTW2L7SCP54F2SIBN5/bundle.json","state_url":"https://pith.science/pith/IPMGROCLHTW2L7SCP54F2SIBN5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IPMGROCLHTW2L7SCP54F2SIBN5/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":"2026-06-23T15:18:42Z","links":{"resolver":"https://pith.science/pith/IPMGROCLHTW2L7SCP54F2SIBN5","bundle":"https://pith.science/pith/IPMGROCLHTW2L7SCP54F2SIBN5/bundle.json","state":"https://pith.science/pith/IPMGROCLHTW2L7SCP54F2SIBN5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IPMGROCLHTW2L7SCP54F2SIBN5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IPMGROCLHTW2L7SCP54F2SIBN5","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":"24013ad535eff44e287873080a57c1e8e72c0e991477898b0ad27ebce37d4e37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-09-04T13:45:38Z","title_canon_sha256":"11fffdd3c7ee897d5380b1da35b512ff1843f2b29c6aea38557b806ec2306d1a"},"schema_version":"1.0","source":{"id":"1709.00956","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00956","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00956v2","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00956","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"IPMGROCLHTW2","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IPMGROCLHTW2L7SC","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IPMGROCL","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:72ab2b9fd84a9924e8391153273cdf3c653edf4945fc02c67c44ae3ec31f27c9","target":"graph","created_at":"2026-05-18T00:19:03Z","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 construct infinite series of non-simple ideal hyperbolic Coxeter 4-polytopes whose growth rates are Perron numbers. This infinite series is the first example of such a non-compact infinite polytopal series.","authors_text":"Tomoshige Yukita","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-09-04T13:45:38Z","title":"Construction of infinite series of non-simple ideal hyperbolic Coxeter 4-polytopes and their growth rates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00956","kind":"arxiv","version":2},"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":"sha256:2c46cca7ca277438c403c269206a924b6fbc7c8e5ef193e5d10d77ff81cc2d80","target":"record","created_at":"2026-05-18T00:19:03Z","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":"24013ad535eff44e287873080a57c1e8e72c0e991477898b0ad27ebce37d4e37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-09-04T13:45:38Z","title_canon_sha256":"11fffdd3c7ee897d5380b1da35b512ff1843f2b29c6aea38557b806ec2306d1a"},"schema_version":"1.0","source":{"id":"1709.00956","kind":"arxiv","version":2}},"canonical_sha256":"43d868b84b3ceda5fe427f785d49016f4ee6a5e6320ea135d7c9944a86eedfb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43d868b84b3ceda5fe427f785d49016f4ee6a5e6320ea135d7c9944a86eedfb9","first_computed_at":"2026-05-18T00:19:03.703896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:03.703896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qawk/8iLPgTZpBV9VzO+b29wOKFspF/6cSXK8JhW0oId1PT9rPiU55s+SA5FQ//JRk1sYF5jBXsKeWEUj+CPAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:03.704792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.00956","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c46cca7ca277438c403c269206a924b6fbc7c8e5ef193e5d10d77ff81cc2d80","sha256:72ab2b9fd84a9924e8391153273cdf3c653edf4945fc02c67c44ae3ec31f27c9"],"state_sha256":"5bec14b0d27d80e2d40d7c1ca7800257e766799f46b6b0ba0469e9c91b202131"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xn/Vvk3/nKyCX9g/8FiVsJTfUlzdeKcmxnhnOnyEXY50bfcoCFleK5ssOApTzv8znmDfvrmhQ+VFmAgGK80GDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:18:42.683054Z","bundle_sha256":"613ebd3b3299edf7e346f96d90c2c954da1fb1ee7100d590926696c634f81335"}}