{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:N4VRTICEHF33RL4O7QK62NUAIS","short_pith_number":"pith:N4VRTICE","canonical_record":{"source":{"id":"1008.1644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-08-10T07:48:44Z","cross_cats_sorted":[],"title_canon_sha256":"3f9934e5f0dd3b4ad855fd1e8a198bc5ab802a6ab70771452849acf4125321e7","abstract_canon_sha256":"0236b0bbb4fd2599fb7881fe7cdd86f15cefff61610bfe83351e0815655cb213"},"schema_version":"1.0"},"canonical_sha256":"6f2b19a0443977b8af8efc15ed36804492287618a38664aadff047ff6254cea3","source":{"kind":"arxiv","id":"1008.1644","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1644","created_at":"2026-05-18T04:30:59Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1644v1","created_at":"2026-05-18T04:30:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1644","created_at":"2026-05-18T04:30:59Z"},{"alias_kind":"pith_short_12","alias_value":"N4VRTICEHF33","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"N4VRTICEHF33RL4O","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"N4VRTICE","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:N4VRTICEHF33RL4O7QK62NUAIS","target":"record","payload":{"canonical_record":{"source":{"id":"1008.1644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-08-10T07:48:44Z","cross_cats_sorted":[],"title_canon_sha256":"3f9934e5f0dd3b4ad855fd1e8a198bc5ab802a6ab70771452849acf4125321e7","abstract_canon_sha256":"0236b0bbb4fd2599fb7881fe7cdd86f15cefff61610bfe83351e0815655cb213"},"schema_version":"1.0"},"canonical_sha256":"6f2b19a0443977b8af8efc15ed36804492287618a38664aadff047ff6254cea3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:59.594610Z","signature_b64":"/CJ8VMGB6byeMVGLn0a2CaVnKvij/7KkFaYzcMMSb+G4FlvmAyCjAH/aUWgj+ikkHG4LDw3dhHbfc9odjHu6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f2b19a0443977b8af8efc15ed36804492287618a38664aadff047ff6254cea3","last_reissued_at":"2026-05-18T04:30:59.593696Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:59.593696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.1644","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":"2026-05-18T04:30:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BPCm5B+L0s0jss1dKotDRmZ6/k1BVVC2JyY5ZCLoOcYhQShC5NOjeDGmys3ITBjywYb1Nb1Z+eK3fh8FgULGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:23:15.809438Z"},"content_sha256":"c614049e1f94685ef889e4ffcb4d8af56e46707367b5c3f89aca7abae8f6f552","schema_version":"1.0","event_id":"sha256:c614049e1f94685ef889e4ffcb4d8af56e46707367b5c3f89aca7abae8f6f552"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:N4VRTICEHF33RL4O7QK62NUAIS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymmetric spin-1/2 two-leg ladders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. Weichselbaum, C. Br\\\"unger, D. N. Aristov, F. Alet, F. F. Assaad, M. N. Kiselev, S. Capponi","submitted_at":"2010-08-10T07:48:44Z","abstract_excerpt":"We consider asymmetric spin-1/2 two-leg ladders with non-equal antiferromagnetic (AF) couplings J_|| and \\kappa J_|| along legs (\\kappa <= 1) and ferromagnetic rung coupling, J_\\perp. This model is characterized by a gap \\Delta in the spectrum of spin excitations. We show that in the large J_\\perp limit this gap is equivalent to the Haldane gap for the AF spin-1 chain, irrespective of the asymmetry of the ladder. The behavior of the gap at small rung coupling falls in two different universality classes. The first class, which is best understood from the case of the conventional symmetric ladde"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1644","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":"2026-05-18T04:30:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FEWL4HN9PuNH5uGnP8frzNruwqhXD3ifd8rY1DESPIJN8AuMPkCgnkNC5PB40zHoJ17PVslXbkZoP8zD4aUYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:23:15.809982Z"},"content_sha256":"42c7200d4f1dd32f1f309145a96d2cdcc9f632a8f569606c150c01f5e97c26cf","schema_version":"1.0","event_id":"sha256:42c7200d4f1dd32f1f309145a96d2cdcc9f632a8f569606c150c01f5e97c26cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N4VRTICEHF33RL4O7QK62NUAIS/bundle.json","state_url":"https://pith.science/pith/N4VRTICEHF33RL4O7QK62NUAIS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N4VRTICEHF33RL4O7QK62NUAIS/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":"2026-05-25T03:23:15Z","links":{"resolver":"https://pith.science/pith/N4VRTICEHF33RL4O7QK62NUAIS","bundle":"https://pith.science/pith/N4VRTICEHF33RL4O7QK62NUAIS/bundle.json","state":"https://pith.science/pith/N4VRTICEHF33RL4O7QK62NUAIS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N4VRTICEHF33RL4O7QK62NUAIS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:N4VRTICEHF33RL4O7QK62NUAIS","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":"0236b0bbb4fd2599fb7881fe7cdd86f15cefff61610bfe83351e0815655cb213","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-08-10T07:48:44Z","title_canon_sha256":"3f9934e5f0dd3b4ad855fd1e8a198bc5ab802a6ab70771452849acf4125321e7"},"schema_version":"1.0","source":{"id":"1008.1644","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1644","created_at":"2026-05-18T04:30:59Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1644v1","created_at":"2026-05-18T04:30:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1644","created_at":"2026-05-18T04:30:59Z"},{"alias_kind":"pith_short_12","alias_value":"N4VRTICEHF33","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"N4VRTICEHF33RL4O","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"N4VRTICE","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:42c7200d4f1dd32f1f309145a96d2cdcc9f632a8f569606c150c01f5e97c26cf","target":"graph","created_at":"2026-05-18T04:30:59Z","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 consider asymmetric spin-1/2 two-leg ladders with non-equal antiferromagnetic (AF) couplings J_|| and \\kappa J_|| along legs (\\kappa <= 1) and ferromagnetic rung coupling, J_\\perp. This model is characterized by a gap \\Delta in the spectrum of spin excitations. We show that in the large J_\\perp limit this gap is equivalent to the Haldane gap for the AF spin-1 chain, irrespective of the asymmetry of the ladder. The behavior of the gap at small rung coupling falls in two different universality classes. The first class, which is best understood from the case of the conventional symmetric ladde","authors_text":"A. Weichselbaum, C. Br\\\"unger, D. N. Aristov, F. Alet, F. F. Assaad, M. N. Kiselev, S. Capponi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-08-10T07:48:44Z","title":"Asymmetric spin-1/2 two-leg ladders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1644","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:c614049e1f94685ef889e4ffcb4d8af56e46707367b5c3f89aca7abae8f6f552","target":"record","created_at":"2026-05-18T04:30:59Z","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":"0236b0bbb4fd2599fb7881fe7cdd86f15cefff61610bfe83351e0815655cb213","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-08-10T07:48:44Z","title_canon_sha256":"3f9934e5f0dd3b4ad855fd1e8a198bc5ab802a6ab70771452849acf4125321e7"},"schema_version":"1.0","source":{"id":"1008.1644","kind":"arxiv","version":1}},"canonical_sha256":"6f2b19a0443977b8af8efc15ed36804492287618a38664aadff047ff6254cea3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f2b19a0443977b8af8efc15ed36804492287618a38664aadff047ff6254cea3","first_computed_at":"2026-05-18T04:30:59.593696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:59.593696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/CJ8VMGB6byeMVGLn0a2CaVnKvij/7KkFaYzcMMSb+G4FlvmAyCjAH/aUWgj+ikkHG4LDw3dhHbfc9odjHu6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:59.594610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.1644","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c614049e1f94685ef889e4ffcb4d8af56e46707367b5c3f89aca7abae8f6f552","sha256:42c7200d4f1dd32f1f309145a96d2cdcc9f632a8f569606c150c01f5e97c26cf"],"state_sha256":"c561f597965134bdad068f79a918d59479200e92ec76af541b487b7059bb0350"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"urEgqn+9QoN4Pa5w0dT3UBJv4GITcRlxFZjpRTALBRH4Xico6yP+VLQJvA7FucCcYiMwQFBOnBwDby0JhtWKAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T03:23:15.813311Z","bundle_sha256":"93d078afe4be23cd4e694f62dace9c105108bbbfb54c40e7713cbc73456756c2"}}