{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DYZXC27IOI4MHEZVOUNQWPTPLX","short_pith_number":"pith:DYZXC27I","canonical_record":{"source":{"id":"1508.00414","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-08-03T13:54:49Z","cross_cats_sorted":[],"title_canon_sha256":"95f1350a2422cb9cc914fdb7fac3c35c011ad32261ba13f74046b8bed3a08840","abstract_canon_sha256":"8ccd00906c6d1775f2987eaa57127be039d58da91d2ab6bd58cc8fd89abd8a92"},"schema_version":"1.0"},"canonical_sha256":"1e33716be87238c39335751b0b3e6f5ddeb933b7908e8f14cada2ea5ff31bc20","source":{"kind":"arxiv","id":"1508.00414","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00414","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00414v2","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00414","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"DYZXC27IOI4M","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DYZXC27IOI4MHEZV","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DYZXC27I","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DYZXC27IOI4MHEZVOUNQWPTPLX","target":"record","payload":{"canonical_record":{"source":{"id":"1508.00414","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-08-03T13:54:49Z","cross_cats_sorted":[],"title_canon_sha256":"95f1350a2422cb9cc914fdb7fac3c35c011ad32261ba13f74046b8bed3a08840","abstract_canon_sha256":"8ccd00906c6d1775f2987eaa57127be039d58da91d2ab6bd58cc8fd89abd8a92"},"schema_version":"1.0"},"canonical_sha256":"1e33716be87238c39335751b0b3e6f5ddeb933b7908e8f14cada2ea5ff31bc20","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:08.256421Z","signature_b64":"/+5aMcSZZPJQIJcXxFNtzm2ZXfMZKIAWmXpdDKcSnRkEpsoTAHqZSvlXMDfjvqSiWgnuSmLBqOIa44vhLwTECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e33716be87238c39335751b0b3e6f5ddeb933b7908e8f14cada2ea5ff31bc20","last_reissued_at":"2026-05-18T01:23:08.255909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:08.255909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.00414","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":"2026-05-18T01:23:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OijiIhPRByTCa3GY2n7w6G9KDcj3z5Y1d+YufL9Cy5gZqYAx65vC2IgIU3NcOlAXYmuHgqqcSzqI21CFY2p3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T12:11:47.072448Z"},"content_sha256":"9f3bacc841d54a667c684aea4f14179f73a985fa2b36899f8016e62c5ff29403","schema_version":"1.0","event_id":"sha256:9f3bacc841d54a667c684aea4f14179f73a985fa2b36899f8016e62c5ff29403"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DYZXC27IOI4MHEZVOUNQWPTPLX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin-gap study of the spin-$\\frac{1}{2}$ $J_{1}$--$J_{2}$ model on the triangular lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"P. H. Y. Li, R. F. Bishop","submitted_at":"2015-08-03T13:54:49Z","abstract_excerpt":"We use the coupled cluster method implemented at high orders of approximation to study the spin-$\\frac{1}{2}$ $J_{1}$--$J_{2}$ model on the triangular lattice with Heisenberg interactions between nearest-neighbour and next-nearest-neighbour pairs of spins, with coupling strengths $J_{1}>0$ and $J_{2} \\equiv \\kappa J_{1} >0$, respectively. In the window $0 \\leq \\kappa \\leq 1$ we find that the 3-sublattice 120$^{\\circ}$ N\\'{e}el-ordered and 2-sublattice 180$^{\\circ}$ stripe-ordered antiferromagnetic states form the stable ground-state phases in the regions $\\kappa < \\kappa^{c}_{1} = 0.060(10)$ a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00414","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":"2026-05-18T01:23:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zof5nHpT+bOmxkdXI+Acj1e4b9Pjzir/aGOkZmGuvx5ZKsAd+k8vIIiLi7surBxdjVO0FxFjr4pjUm3fyxFWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T12:11:47.072809Z"},"content_sha256":"d79edf361deb4d0aa0367781f72fff56de1312c0778c2516e5bccc030e834982","schema_version":"1.0","event_id":"sha256:d79edf361deb4d0aa0367781f72fff56de1312c0778c2516e5bccc030e834982"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DYZXC27IOI4MHEZVOUNQWPTPLX/bundle.json","state_url":"https://pith.science/pith/DYZXC27IOI4MHEZVOUNQWPTPLX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DYZXC27IOI4MHEZVOUNQWPTPLX/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":"2026-05-19T12:11:47Z","links":{"resolver":"https://pith.science/pith/DYZXC27IOI4MHEZVOUNQWPTPLX","bundle":"https://pith.science/pith/DYZXC27IOI4MHEZVOUNQWPTPLX/bundle.json","state":"https://pith.science/pith/DYZXC27IOI4MHEZVOUNQWPTPLX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DYZXC27IOI4MHEZVOUNQWPTPLX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DYZXC27IOI4MHEZVOUNQWPTPLX","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":"8ccd00906c6d1775f2987eaa57127be039d58da91d2ab6bd58cc8fd89abd8a92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-08-03T13:54:49Z","title_canon_sha256":"95f1350a2422cb9cc914fdb7fac3c35c011ad32261ba13f74046b8bed3a08840"},"schema_version":"1.0","source":{"id":"1508.00414","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00414","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00414v2","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00414","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"DYZXC27IOI4M","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DYZXC27IOI4MHEZV","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DYZXC27I","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:d79edf361deb4d0aa0367781f72fff56de1312c0778c2516e5bccc030e834982","target":"graph","created_at":"2026-05-18T01:23:08Z","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 use the coupled cluster method implemented at high orders of approximation to study the spin-$\\frac{1}{2}$ $J_{1}$--$J_{2}$ model on the triangular lattice with Heisenberg interactions between nearest-neighbour and next-nearest-neighbour pairs of spins, with coupling strengths $J_{1}>0$ and $J_{2} \\equiv \\kappa J_{1} >0$, respectively. In the window $0 \\leq \\kappa \\leq 1$ we find that the 3-sublattice 120$^{\\circ}$ N\\'{e}el-ordered and 2-sublattice 180$^{\\circ}$ stripe-ordered antiferromagnetic states form the stable ground-state phases in the regions $\\kappa < \\kappa^{c}_{1} = 0.060(10)$ a","authors_text":"P. H. Y. Li, R. F. Bishop","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-08-03T13:54:49Z","title":"Spin-gap study of the spin-$\\frac{1}{2}$ $J_{1}$--$J_{2}$ model on the triangular lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00414","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":"sha256:9f3bacc841d54a667c684aea4f14179f73a985fa2b36899f8016e62c5ff29403","target":"record","created_at":"2026-05-18T01:23:08Z","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":"8ccd00906c6d1775f2987eaa57127be039d58da91d2ab6bd58cc8fd89abd8a92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-08-03T13:54:49Z","title_canon_sha256":"95f1350a2422cb9cc914fdb7fac3c35c011ad32261ba13f74046b8bed3a08840"},"schema_version":"1.0","source":{"id":"1508.00414","kind":"arxiv","version":2}},"canonical_sha256":"1e33716be87238c39335751b0b3e6f5ddeb933b7908e8f14cada2ea5ff31bc20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e33716be87238c39335751b0b3e6f5ddeb933b7908e8f14cada2ea5ff31bc20","first_computed_at":"2026-05-18T01:23:08.255909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:08.255909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/+5aMcSZZPJQIJcXxFNtzm2ZXfMZKIAWmXpdDKcSnRkEpsoTAHqZSvlXMDfjvqSiWgnuSmLBqOIa44vhLwTECg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:08.256421Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.00414","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f3bacc841d54a667c684aea4f14179f73a985fa2b36899f8016e62c5ff29403","sha256:d79edf361deb4d0aa0367781f72fff56de1312c0778c2516e5bccc030e834982"],"state_sha256":"b3a3aa2603d448ff56e8ee1308a13c037fad573105fb4c32816bbb2da856e140"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ajxpGOZq7i1v1JL41CTb9UcBiyFOmdN1us6N8zHCkk5Umse1X4Pf1hgcDPOsst2JZNxgx7Zrw29la+fXVcXbCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T12:11:47.074548Z","bundle_sha256":"89dd5effa620ad92ec7e2ea2e2e28546c2c3c883ae35143565bf7e46ed0a97cb"}}