{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PYQQCAYOWYXHKPAB73ASO42X4G","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":"cc41e6f010a4072001d426054ea33e069b3f5e1977128632366bea92b3f55144","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-03-02T05:44:04Z","title_canon_sha256":"64f01f557ee984a251f4a4c731ffa936e63e228c0de2fc08a29a9aba1f5c828c"},"schema_version":"1.0","source":{"id":"1403.0163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0163","created_at":"2026-05-18T01:44:21Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0163v1","created_at":"2026-05-18T01:44:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0163","created_at":"2026-05-18T01:44:21Z"},{"alias_kind":"pith_short_12","alias_value":"PYQQCAYOWYXH","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PYQQCAYOWYXHKPAB","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PYQQCAYO","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:268e9b61f317f9d8f01ebb6ca39568122b937fe7d44c3cf3299160afeb38b199","target":"graph","created_at":"2026-05-18T01:44:21Z","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 examine the snapshot entropy of general fractal images defined by their singular values. Remarkably, the singular values for a large class of fractals are in exact correspondence with the entanglement spectrum of free fermions in one dimension. These fermions allow for a holographic interpretation of the logarithmic scaling of the snapshot entropy, which is in agreement with the Calabrese-Cardy formula. However, the coarse-grained entropy exhibits a linear scaling due to the degeneracy of the spectrum, in contrast with the logarithmic scaling behavior in one-dimensional quantum near-critica","authors_text":"Ching Hua Lee, Hiroaki Matsueda, Tatsuya Kumamoto, Yuki Yamada","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-03-02T05:44:04Z","title":"Exact Mapping from Singular Value Spectrum of Fractal Images to Entanglement Spectrum of One-Dimensional Quantum Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0163","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:dbe41368654af28c15a93521259d37d9c3c3b18ef4d3ade4a26434b912314a09","target":"record","created_at":"2026-05-18T01:44:21Z","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":"cc41e6f010a4072001d426054ea33e069b3f5e1977128632366bea92b3f55144","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-03-02T05:44:04Z","title_canon_sha256":"64f01f557ee984a251f4a4c731ffa936e63e228c0de2fc08a29a9aba1f5c828c"},"schema_version":"1.0","source":{"id":"1403.0163","kind":"arxiv","version":1}},"canonical_sha256":"7e2101030eb62e753c01fec1277357e18c8944fcb8b92aa41def58b6969af0e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e2101030eb62e753c01fec1277357e18c8944fcb8b92aa41def58b6969af0e3","first_computed_at":"2026-05-18T01:44:21.436629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:21.436629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZyUGh3UJ/NSaxbZM1lKh5m8JbgxkxsweoRNLaIIkkUoatIsLOvrZyhyPMykz/UiDOitPwedZ0XpyJYu6ehcsAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:21.437387Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbe41368654af28c15a93521259d37d9c3c3b18ef4d3ade4a26434b912314a09","sha256:268e9b61f317f9d8f01ebb6ca39568122b937fe7d44c3cf3299160afeb38b199"],"state_sha256":"41b79f7659dfba6c91875ed2229b4304c17ae85268d2fff3a6d4eb7e046e3477"}