{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FKFF53H24QTVVKJDBVHTNIVDNC","short_pith_number":"pith:FKFF53H2","canonical_record":{"source":{"id":"1012.0100","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-01T05:41:53Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"ea1124a0debda5ecf8af02d03e5faaf2083122a0ce953e958f34447ffbb87fb1","abstract_canon_sha256":"3c6c0f0a58012a05c0ab8276f48f9c999104aca3407e9d21add680036f45a432"},"schema_version":"1.0"},"canonical_sha256":"2a8a5eecfae4275aa9230d4f36a2a368b41dabe1d6bfa3d9e6586e584c6193a2","source":{"kind":"arxiv","id":"1012.0100","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0100","created_at":"2026-05-18T02:04:36Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0100v1","created_at":"2026-05-18T02:04:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0100","created_at":"2026-05-18T02:04:36Z"},{"alias_kind":"pith_short_12","alias_value":"FKFF53H24QTV","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FKFF53H24QTVVKJD","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FKFF53H2","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FKFF53H24QTVVKJDBVHTNIVDNC","target":"record","payload":{"canonical_record":{"source":{"id":"1012.0100","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-01T05:41:53Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"ea1124a0debda5ecf8af02d03e5faaf2083122a0ce953e958f34447ffbb87fb1","abstract_canon_sha256":"3c6c0f0a58012a05c0ab8276f48f9c999104aca3407e9d21add680036f45a432"},"schema_version":"1.0"},"canonical_sha256":"2a8a5eecfae4275aa9230d4f36a2a368b41dabe1d6bfa3d9e6586e584c6193a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:36.872160Z","signature_b64":"duGuAcBHWkRDjVksr0tIt5fltw+66pUoKPUE3hC0thLNxf7Y7jT3AIKOCsiuWwbzf3yYDlJ+LoshKqgV9zyHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a8a5eecfae4275aa9230d4f36a2a368b41dabe1d6bfa3d9e6586e584c6193a2","last_reissued_at":"2026-05-18T02:04:36.871463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:36.871463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.0100","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":"2026-05-18T02:04:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qibQIdPaREIGPTF6UrjOw8aTqGVsaND8U85qEl6ylJfLSqHvfy4Lcw9ddYTueXCOGa8W1zC7Mc+FMMs66fCEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:10:27.693374Z"},"content_sha256":"fe06d891524d72ab5ba104ae1bdd87b63e0c984dd1b3a2affc4a724918eb2e55","schema_version":"1.0","event_id":"sha256:fe06d891524d72ab5ba104ae1bdd87b63e0c984dd1b3a2affc4a724918eb2e55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FKFF53H24QTVVKJDBVHTNIVDNC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multifractal Wave Functions of a System with a Monofractal Energy Spectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Masayuki Tashima, Shuichi Tasaki","submitted_at":"2010-12-01T05:41:53Z","abstract_excerpt":"We show the appearance of multifractal wave functions on a one-dimensional quasiperiodic system that has a monofractal energy spectrum. Using the Mantica technique, we construct the model as an inverse problem from the energy spectrum of a pure Cantor set. A relation between the critical state and the information dimension is proved and it is applied to the finite-size multifractal analysis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0100","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":"2026-05-18T02:04:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+WO3KcT92IngrKHcwKji4QAe9N0ePujuJfmXIptklwBsLf5bPCKA2WqvsqZ9kG4JX351mxblW9eXYVALKP1nCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:10:27.693962Z"},"content_sha256":"454fabb19efdfa46a9754463cfb57d89fe7ee6b35c3f61eb5dc9a0997fc63bfe","schema_version":"1.0","event_id":"sha256:454fabb19efdfa46a9754463cfb57d89fe7ee6b35c3f61eb5dc9a0997fc63bfe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FKFF53H24QTVVKJDBVHTNIVDNC/bundle.json","state_url":"https://pith.science/pith/FKFF53H24QTVVKJDBVHTNIVDNC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FKFF53H24QTVVKJDBVHTNIVDNC/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":"2026-05-28T08:10:27Z","links":{"resolver":"https://pith.science/pith/FKFF53H24QTVVKJDBVHTNIVDNC","bundle":"https://pith.science/pith/FKFF53H24QTVVKJDBVHTNIVDNC/bundle.json","state":"https://pith.science/pith/FKFF53H24QTVVKJDBVHTNIVDNC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FKFF53H24QTVVKJDBVHTNIVDNC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FKFF53H24QTVVKJDBVHTNIVDNC","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":"3c6c0f0a58012a05c0ab8276f48f9c999104aca3407e9d21add680036f45a432","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-01T05:41:53Z","title_canon_sha256":"ea1124a0debda5ecf8af02d03e5faaf2083122a0ce953e958f34447ffbb87fb1"},"schema_version":"1.0","source":{"id":"1012.0100","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0100","created_at":"2026-05-18T02:04:36Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0100v1","created_at":"2026-05-18T02:04:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0100","created_at":"2026-05-18T02:04:36Z"},{"alias_kind":"pith_short_12","alias_value":"FKFF53H24QTV","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FKFF53H24QTVVKJD","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FKFF53H2","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:454fabb19efdfa46a9754463cfb57d89fe7ee6b35c3f61eb5dc9a0997fc63bfe","target":"graph","created_at":"2026-05-18T02:04:36Z","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 show the appearance of multifractal wave functions on a one-dimensional quasiperiodic system that has a monofractal energy spectrum. Using the Mantica technique, we construct the model as an inverse problem from the energy spectrum of a pure Cantor set. A relation between the critical state and the information dimension is proved and it is applied to the finite-size multifractal analysis.","authors_text":"Masayuki Tashima, Shuichi Tasaki","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-01T05:41:53Z","title":"Multifractal Wave Functions of a System with a Monofractal Energy Spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0100","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:fe06d891524d72ab5ba104ae1bdd87b63e0c984dd1b3a2affc4a724918eb2e55","target":"record","created_at":"2026-05-18T02:04:36Z","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":"3c6c0f0a58012a05c0ab8276f48f9c999104aca3407e9d21add680036f45a432","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-01T05:41:53Z","title_canon_sha256":"ea1124a0debda5ecf8af02d03e5faaf2083122a0ce953e958f34447ffbb87fb1"},"schema_version":"1.0","source":{"id":"1012.0100","kind":"arxiv","version":1}},"canonical_sha256":"2a8a5eecfae4275aa9230d4f36a2a368b41dabe1d6bfa3d9e6586e584c6193a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a8a5eecfae4275aa9230d4f36a2a368b41dabe1d6bfa3d9e6586e584c6193a2","first_computed_at":"2026-05-18T02:04:36.871463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:36.871463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"duGuAcBHWkRDjVksr0tIt5fltw+66pUoKPUE3hC0thLNxf7Y7jT3AIKOCsiuWwbzf3yYDlJ+LoshKqgV9zyHDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:36.872160Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0100","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe06d891524d72ab5ba104ae1bdd87b63e0c984dd1b3a2affc4a724918eb2e55","sha256:454fabb19efdfa46a9754463cfb57d89fe7ee6b35c3f61eb5dc9a0997fc63bfe"],"state_sha256":"636a160a2aa7230fee9815be2d3bb557e346d9e8190e28f574c8cac7ab646854"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3j+eQUjm+5o6COzTYolSzGdlyi+SZ/WQWt4Q29DoJGtbFu1wAvnJTRerhVnm10Ey1GHLPP4LxmLVBUbxcf4nAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T08:10:27.696819Z","bundle_sha256":"b1fcae913014936a67064489a883143f4c1a3d580d5b25273dfe7f9a1da423d8"}}