{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:3CMY2O7IK5JL2C32VQZE3BWEJP","short_pith_number":"pith:3CMY2O7I","canonical_record":{"source":{"id":"2506.02103","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-02T18:00:00Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"7ce23a4d4856d0d90ebcfaedc8cf59bb32777a8abcef2d94cda740490edde154","abstract_canon_sha256":"d6f04f9f5a38ebb53d19e153046e79195dba67d84dc4ba95dfacac5df34ee216"},"schema_version":"1.0"},"canonical_sha256":"d8998d3be85752bd0b7aac324d86c44bf0aa786576e7a63848fc142431f5ddf3","source":{"kind":"arxiv","id":"2506.02103","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.02103","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"arxiv_version","alias_value":"2506.02103v4","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.02103","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"pith_short_12","alias_value":"3CMY2O7IK5JL","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"pith_short_16","alias_value":"3CMY2O7IK5JL2C32","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"pith_short_8","alias_value":"3CMY2O7I","created_at":"2026-06-23T02:13:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:3CMY2O7IK5JL2C32VQZE3BWEJP","target":"record","payload":{"canonical_record":{"source":{"id":"2506.02103","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-02T18:00:00Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"7ce23a4d4856d0d90ebcfaedc8cf59bb32777a8abcef2d94cda740490edde154","abstract_canon_sha256":"d6f04f9f5a38ebb53d19e153046e79195dba67d84dc4ba95dfacac5df34ee216"},"schema_version":"1.0"},"canonical_sha256":"d8998d3be85752bd0b7aac324d86c44bf0aa786576e7a63848fc142431f5ddf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T02:13:15.445184Z","signature_b64":"Sh/KOl6Z6B+t0bPQRts6DuPHxh08qq7I5exq1Md3Aj6rPalGT9PReHLWadF8Z1d5CM2oFfW5S+pSMgPO4xQzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8998d3be85752bd0b7aac324d86c44bf0aa786576e7a63848fc142431f5ddf3","last_reissued_at":"2026-06-23T02:13:15.444785Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T02:13:15.444785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.02103","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-23T02:13:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yr5zdseWZnCUct2Om19dNU81XW3rk4SLvlTHIfalPFQ0PuupFAbG5yX4qAL+waPWn1WQ7eszYD2jUD6Lmho/Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:20:09.020077Z"},"content_sha256":"46ad7c1236b65c26a3614fbbcac34b904b0b82ce81c9c59c1b36b6466edb097d","schema_version":"1.0","event_id":"sha256:46ad7c1236b65c26a3614fbbcac34b904b0b82ce81c9c59c1b36b6466edb097d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:3CMY2O7IK5JL2C32VQZE3BWEJP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Highly Entangled Quantum Spin Chains on Fermat's Spiral","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Olai B. Mykland, Zhao Zhang","submitted_at":"2025-06-02T18:00:00Z","abstract_excerpt":"We investigate the entanglement entropy (EE) and spectral gap properties of highly entangled spin chains arranged along a Hamiltonian path on a two-dimensional (2D) lattice with geometries reminiscent of Fermat's spiral. Interpreting the interactions along the spin chain as the strongly anisotropic limit of a 2D model, with couplings oriented along different directions in different quadrants, we construct an exactly solvable ground state (GS) that exhibits volume scaling of EE across bipartition through the center in any direction. This provides another mechanism for realizing 2D GSs with loca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02103","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.02103/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-23T02:13:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"By7QaE6H+WqggzssTKOty7VgDH23JpiXtBYktuE+OdO4AGgqy0P13LrxfDCoz58D0nwGA7ztCBwXitutdEvLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:20:09.020699Z"},"content_sha256":"93dbaa7b19d014e8fa644b742b610c29f23e873d2ec488e720ab3704eebf1a25","schema_version":"1.0","event_id":"sha256:93dbaa7b19d014e8fa644b742b610c29f23e873d2ec488e720ab3704eebf1a25"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3CMY2O7IK5JL2C32VQZE3BWEJP/bundle.json","state_url":"https://pith.science/pith/3CMY2O7IK5JL2C32VQZE3BWEJP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3CMY2O7IK5JL2C32VQZE3BWEJP/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":"2026-08-09T23:20:09Z","links":{"resolver":"https://pith.science/pith/3CMY2O7IK5JL2C32VQZE3BWEJP","bundle":"https://pith.science/pith/3CMY2O7IK5JL2C32VQZE3BWEJP/bundle.json","state":"https://pith.science/pith/3CMY2O7IK5JL2C32VQZE3BWEJP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3CMY2O7IK5JL2C32VQZE3BWEJP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:3CMY2O7IK5JL2C32VQZE3BWEJP","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":"d6f04f9f5a38ebb53d19e153046e79195dba67d84dc4ba95dfacac5df34ee216","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-02T18:00:00Z","title_canon_sha256":"7ce23a4d4856d0d90ebcfaedc8cf59bb32777a8abcef2d94cda740490edde154"},"schema_version":"1.0","source":{"id":"2506.02103","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.02103","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"arxiv_version","alias_value":"2506.02103v4","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.02103","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"pith_short_12","alias_value":"3CMY2O7IK5JL","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"pith_short_16","alias_value":"3CMY2O7IK5JL2C32","created_at":"2026-06-23T02:13:15Z"},{"alias_kind":"pith_short_8","alias_value":"3CMY2O7I","created_at":"2026-06-23T02:13:15Z"}],"graph_snapshots":[{"event_id":"sha256:93dbaa7b19d014e8fa644b742b610c29f23e873d2ec488e720ab3704eebf1a25","target":"graph","created_at":"2026-06-23T02:13:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.02103/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the entanglement entropy (EE) and spectral gap properties of highly entangled spin chains arranged along a Hamiltonian path on a two-dimensional (2D) lattice with geometries reminiscent of Fermat's spiral. Interpreting the interactions along the spin chain as the strongly anisotropic limit of a 2D model, with couplings oriented along different directions in different quadrants, we construct an exactly solvable ground state (GS) that exhibits volume scaling of EE across bipartition through the center in any direction. This provides another mechanism for realizing 2D GSs with loca","authors_text":"Olai B. Mykland, Zhao Zhang","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-02T18:00:00Z","title":"Highly Entangled Quantum Spin Chains on Fermat's Spiral"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02103","kind":"arxiv","version":4},"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":"sha256:46ad7c1236b65c26a3614fbbcac34b904b0b82ce81c9c59c1b36b6466edb097d","target":"record","created_at":"2026-06-23T02:13:15Z","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":"d6f04f9f5a38ebb53d19e153046e79195dba67d84dc4ba95dfacac5df34ee216","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-02T18:00:00Z","title_canon_sha256":"7ce23a4d4856d0d90ebcfaedc8cf59bb32777a8abcef2d94cda740490edde154"},"schema_version":"1.0","source":{"id":"2506.02103","kind":"arxiv","version":4}},"canonical_sha256":"d8998d3be85752bd0b7aac324d86c44bf0aa786576e7a63848fc142431f5ddf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8998d3be85752bd0b7aac324d86c44bf0aa786576e7a63848fc142431f5ddf3","first_computed_at":"2026-06-23T02:13:15.444785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T02:13:15.444785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sh/KOl6Z6B+t0bPQRts6DuPHxh08qq7I5exq1Md3Aj6rPalGT9PReHLWadF8Z1d5CM2oFfW5S+pSMgPO4xQzCw==","signature_status":"signed_v1","signed_at":"2026-06-23T02:13:15.445184Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.02103","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46ad7c1236b65c26a3614fbbcac34b904b0b82ce81c9c59c1b36b6466edb097d","sha256:93dbaa7b19d014e8fa644b742b610c29f23e873d2ec488e720ab3704eebf1a25"],"state_sha256":"8b7e36eebd371f9883eb5e720fe6f7bbdda74ff198228a10bca8eadccab00369"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ckNdD0ZHTjuyO7Ksfj3J2t9ZPFgvIJh8mgwcTYEjoPRePLjw0oJ1kr2mhIxNUGzp6OZLaVFDhZOmZPm83RYlAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T23:20:09.026241Z","bundle_sha256":"a542f17448ec4bd5bbf54aaa93cb0124af8f17503ab0f3facd1cd0c06f6f093d"}}