{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RBJ2EL4HLPUDNVVVWYXABSSBAL","short_pith_number":"pith:RBJ2EL4H","canonical_record":{"source":{"id":"1601.00532","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-04T15:24:27Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"b413e95001fcfc035fd279a220c53753751268f07f6138ecb375ba1eee01ac10","abstract_canon_sha256":"8eb4e29b97b6d22a8da4d0e6769aa59cef129f2912714bfdfa4a8ea4aa204b0a"},"schema_version":"1.0"},"canonical_sha256":"8853a22f875be836d6b5b62e00ca4102f612d5c03b9fc0eabe29e08b2c04b173","source":{"kind":"arxiv","id":"1601.00532","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00532","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00532v2","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00532","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"RBJ2EL4HLPUD","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RBJ2EL4HLPUDNVVV","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RBJ2EL4H","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RBJ2EL4HLPUDNVVVWYXABSSBAL","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00532","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-04T15:24:27Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"b413e95001fcfc035fd279a220c53753751268f07f6138ecb375ba1eee01ac10","abstract_canon_sha256":"8eb4e29b97b6d22a8da4d0e6769aa59cef129f2912714bfdfa4a8ea4aa204b0a"},"schema_version":"1.0"},"canonical_sha256":"8853a22f875be836d6b5b62e00ca4102f612d5c03b9fc0eabe29e08b2c04b173","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:57.736763Z","signature_b64":"umSE53j+v5Yy9wI9xtY2CdIPYyPkPrTds2wE5ZQ7Tr9Vx5FP4nFAxJYq+zg+xyNRjtRfuq7+rgImhkwtex4bDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8853a22f875be836d6b5b62e00ca4102f612d5c03b9fc0eabe29e08b2c04b173","last_reissued_at":"2026-05-18T01:09:57.736178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:57.736178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00532","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":"2026-05-18T01:09:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"da/DArwjWW9Ze0L9/FW2cQRsavoo/Y9yikrE9mjEdSwc3mrsZea6RwQuOYuV3BTecx7GDfb8jayK1nVeBnINDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:29:44.677078Z"},"content_sha256":"2eabd82e467fea05ecffae4fb2cc62ca55456c687bfdbbfe09392f22681f35e7","schema_version":"1.0","event_id":"sha256:2eabd82e467fea05ecffae4fb2cc62ca55456c687bfdbbfe09392f22681f35e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RBJ2EL4HLPUDNVVVWYXABSSBAL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractal dimensions of the wavefunctions and local spectral measures on the Fibonacci chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.mes-hall","authors_text":"Anuradha Jagannathan, Fr\\'ed\\'eric Pi\\'echon, Nicolas Mac\\'e","submitted_at":"2016-01-04T15:24:27Z","abstract_excerpt":"We present a theoretical framework for understanding the wavefunctions and spectrum of an extensively studied paradigm for quasiperiodic systems, namely the Fibonacci chain. Our analytical results, which are obtained in the limit of strong modulation of the hopping amplitudes, are in good agreement with published numerical data. In the perturbative limit, we show a new symmetry of wavefunctions under permutation of site and energy indices. We compute the wavefunction renormalization factors and from them deduce analytical expressions for the fractal exponents corresponding to individual wavefu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00532","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":"2026-05-18T01:09:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r1Mu86HVlT8MlL9tORL153XXGn7Kk0mGCzoZHT4o5U/h3DveHTgH3xnf1Fb059+SZlDtbTN9vz0xcK2hfNytDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:29:44.677442Z"},"content_sha256":"9d0691a3e365c22b6a98267dfd9101b0aaa64ae3cbc0e93c26646c378b8a7913","schema_version":"1.0","event_id":"sha256:9d0691a3e365c22b6a98267dfd9101b0aaa64ae3cbc0e93c26646c378b8a7913"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RBJ2EL4HLPUDNVVVWYXABSSBAL/bundle.json","state_url":"https://pith.science/pith/RBJ2EL4HLPUDNVVVWYXABSSBAL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RBJ2EL4HLPUDNVVVWYXABSSBAL/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":"2026-06-03T04:29:44Z","links":{"resolver":"https://pith.science/pith/RBJ2EL4HLPUDNVVVWYXABSSBAL","bundle":"https://pith.science/pith/RBJ2EL4HLPUDNVVVWYXABSSBAL/bundle.json","state":"https://pith.science/pith/RBJ2EL4HLPUDNVVVWYXABSSBAL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RBJ2EL4HLPUDNVVVWYXABSSBAL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RBJ2EL4HLPUDNVVVWYXABSSBAL","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":"8eb4e29b97b6d22a8da4d0e6769aa59cef129f2912714bfdfa4a8ea4aa204b0a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-04T15:24:27Z","title_canon_sha256":"b413e95001fcfc035fd279a220c53753751268f07f6138ecb375ba1eee01ac10"},"schema_version":"1.0","source":{"id":"1601.00532","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00532","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00532v2","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00532","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"RBJ2EL4HLPUD","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RBJ2EL4HLPUDNVVV","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RBJ2EL4H","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:9d0691a3e365c22b6a98267dfd9101b0aaa64ae3cbc0e93c26646c378b8a7913","target":"graph","created_at":"2026-05-18T01:09:57Z","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 present a theoretical framework for understanding the wavefunctions and spectrum of an extensively studied paradigm for quasiperiodic systems, namely the Fibonacci chain. Our analytical results, which are obtained in the limit of strong modulation of the hopping amplitudes, are in good agreement with published numerical data. In the perturbative limit, we show a new symmetry of wavefunctions under permutation of site and energy indices. We compute the wavefunction renormalization factors and from them deduce analytical expressions for the fractal exponents corresponding to individual wavefu","authors_text":"Anuradha Jagannathan, Fr\\'ed\\'eric Pi\\'echon, Nicolas Mac\\'e","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-04T15:24:27Z","title":"Fractal dimensions of the wavefunctions and local spectral measures on the Fibonacci chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00532","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":"sha256:2eabd82e467fea05ecffae4fb2cc62ca55456c687bfdbbfe09392f22681f35e7","target":"record","created_at":"2026-05-18T01:09:57Z","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":"8eb4e29b97b6d22a8da4d0e6769aa59cef129f2912714bfdfa4a8ea4aa204b0a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-01-04T15:24:27Z","title_canon_sha256":"b413e95001fcfc035fd279a220c53753751268f07f6138ecb375ba1eee01ac10"},"schema_version":"1.0","source":{"id":"1601.00532","kind":"arxiv","version":2}},"canonical_sha256":"8853a22f875be836d6b5b62e00ca4102f612d5c03b9fc0eabe29e08b2c04b173","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8853a22f875be836d6b5b62e00ca4102f612d5c03b9fc0eabe29e08b2c04b173","first_computed_at":"2026-05-18T01:09:57.736178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:57.736178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"umSE53j+v5Yy9wI9xtY2CdIPYyPkPrTds2wE5ZQ7Tr9Vx5FP4nFAxJYq+zg+xyNRjtRfuq7+rgImhkwtex4bDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:57.736763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00532","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2eabd82e467fea05ecffae4fb2cc62ca55456c687bfdbbfe09392f22681f35e7","sha256:9d0691a3e365c22b6a98267dfd9101b0aaa64ae3cbc0e93c26646c378b8a7913"],"state_sha256":"864e936032bee30788e54b160448644c57a76a3e7ab821dc740b7b5cbdda3b49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"geTyE5cc1xoADnLBMKYgn771z03YDk4h+daq3BopkPh2tPVfyJ7mk91tULA7xGZaj8fppvX1H3aYFufKp74UAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:29:44.679343Z","bundle_sha256":"fc87aa2505c5f83062cf19ee09565f0aea8808ba1c2b4c6059d1c38853f4a0e3"}}