{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:N7RP3E5EBACBVGRHHXDNFNEZYD","short_pith_number":"pith:N7RP3E5E","canonical_record":{"source":{"id":"0907.4163","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-07-23T20:26:55Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"576dedaf47542f402d6fd5ee63e26e7ae53ea1fb3ed43112711262a79ccc0758","abstract_canon_sha256":"ff15f6b0ede12d70f6309e0edf458b8a5e2a44534dd5a88015c0b72b25bc7fca"},"schema_version":"1.0"},"canonical_sha256":"6fe2fd93a408041a9a273dc6d2b499c0ead039351fba7a70032380e4d776e8cf","source":{"kind":"arxiv","id":"0907.4163","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.4163","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.4163v1","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.4163","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"N7RP3E5EBACB","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"N7RP3E5EBACBVGRH","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"N7RP3E5E","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:N7RP3E5EBACBVGRHHXDNFNEZYD","target":"record","payload":{"canonical_record":{"source":{"id":"0907.4163","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-07-23T20:26:55Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"576dedaf47542f402d6fd5ee63e26e7ae53ea1fb3ed43112711262a79ccc0758","abstract_canon_sha256":"ff15f6b0ede12d70f6309e0edf458b8a5e2a44534dd5a88015c0b72b25bc7fca"},"schema_version":"1.0"},"canonical_sha256":"6fe2fd93a408041a9a273dc6d2b499c0ead039351fba7a70032380e4d776e8cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:54.133123Z","signature_b64":"jN4LGA4GkQrAxH5lyzQShEhJeprZ/xiUENKi0hbkiuzSgHwS7GYqXQD58NMT/FMcmCerO8nAsAXIj1TsnNjTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fe2fd93a408041a9a273dc6d2b499c0ead039351fba7a70032380e4d776e8cf","last_reissued_at":"2026-05-18T02:12:54.132626Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:54.132626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.4163","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":"2026-05-18T02:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VtHFd5YZYmyii6jTXtyWSxH+4tg5/1exPVeeCVLBYKc60PTu+yRqC0nDewUkiJ8OXqmjVm54+Ty7HTl0d/OkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:28:50.744496Z"},"content_sha256":"0aee46353c95915e31b927e031abd842e512c9cf0db97c72d4082b550c8cc784","schema_version":"1.0","event_id":"sha256:0aee46353c95915e31b927e031abd842e512c9cf0db97c72d4082b550c8cc784"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:N7RP3E5EBACBVGRHHXDNFNEZYD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase diagram of the spin-1/2 $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.str-el","authors_text":"Nic Shannon, Philippe Sindzingre, Tsutomu Momoi","submitted_at":"2009-07-23T20:26:55Z","abstract_excerpt":"We presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \\protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions $J_1$, using exact diagonalization with periodic and twisted boundary conditions. Comparison is made with published spin wave calculations. We show that quantum fluctuations play a very important role, changing both the extent and the wave vector of classical spiral phases, and leading to new quantum phases where the classical spiral states have a high degeneracy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.4163","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":"2026-05-18T02:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgq+EEafOYYq95uJn1kVyrzppkrDPCGO9opvu0tWM6F4TpfgOboOB3Xs3ZHg3/qvX3flEFit/VxofMyfU/XmCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:28:50.745143Z"},"content_sha256":"09398164510e9def48a3d86eb5432a9ad0d66f1e6d87d235e90c8c3797371815","schema_version":"1.0","event_id":"sha256:09398164510e9def48a3d86eb5432a9ad0d66f1e6d87d235e90c8c3797371815"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N7RP3E5EBACBVGRHHXDNFNEZYD/bundle.json","state_url":"https://pith.science/pith/N7RP3E5EBACBVGRHHXDNFNEZYD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N7RP3E5EBACBVGRHHXDNFNEZYD/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":"2026-05-29T17:28:50Z","links":{"resolver":"https://pith.science/pith/N7RP3E5EBACBVGRHHXDNFNEZYD","bundle":"https://pith.science/pith/N7RP3E5EBACBVGRHHXDNFNEZYD/bundle.json","state":"https://pith.science/pith/N7RP3E5EBACBVGRHHXDNFNEZYD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N7RP3E5EBACBVGRHHXDNFNEZYD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:N7RP3E5EBACBVGRHHXDNFNEZYD","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":"ff15f6b0ede12d70f6309e0edf458b8a5e2a44534dd5a88015c0b72b25bc7fca","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-07-23T20:26:55Z","title_canon_sha256":"576dedaf47542f402d6fd5ee63e26e7ae53ea1fb3ed43112711262a79ccc0758"},"schema_version":"1.0","source":{"id":"0907.4163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.4163","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.4163v1","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.4163","created_at":"2026-05-18T02:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"N7RP3E5EBACB","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"N7RP3E5EBACBVGRH","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"N7RP3E5E","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:09398164510e9def48a3d86eb5432a9ad0d66f1e6d87d235e90c8c3797371815","target":"graph","created_at":"2026-05-18T02:12:54Z","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 presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \\protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions $J_1$, using exact diagonalization with periodic and twisted boundary conditions. Comparison is made with published spin wave calculations. We show that quantum fluctuations play a very important role, changing both the extent and the wave vector of classical spiral phases, and leading to new quantum phases where the classical spiral states have a high degeneracy","authors_text":"Nic Shannon, Philippe Sindzingre, Tsutomu Momoi","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-07-23T20:26:55Z","title":"Phase diagram of the spin-1/2 $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.4163","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":"sha256:0aee46353c95915e31b927e031abd842e512c9cf0db97c72d4082b550c8cc784","target":"record","created_at":"2026-05-18T02:12:54Z","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":"ff15f6b0ede12d70f6309e0edf458b8a5e2a44534dd5a88015c0b72b25bc7fca","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-07-23T20:26:55Z","title_canon_sha256":"576dedaf47542f402d6fd5ee63e26e7ae53ea1fb3ed43112711262a79ccc0758"},"schema_version":"1.0","source":{"id":"0907.4163","kind":"arxiv","version":1}},"canonical_sha256":"6fe2fd93a408041a9a273dc6d2b499c0ead039351fba7a70032380e4d776e8cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fe2fd93a408041a9a273dc6d2b499c0ead039351fba7a70032380e4d776e8cf","first_computed_at":"2026-05-18T02:12:54.132626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:54.132626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jN4LGA4GkQrAxH5lyzQShEhJeprZ/xiUENKi0hbkiuzSgHwS7GYqXQD58NMT/FMcmCerO8nAsAXIj1TsnNjTAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:54.133123Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.4163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0aee46353c95915e31b927e031abd842e512c9cf0db97c72d4082b550c8cc784","sha256:09398164510e9def48a3d86eb5432a9ad0d66f1e6d87d235e90c8c3797371815"],"state_sha256":"517097f9bbcf69cc208997a3a481f9d098159caf905429848cd23cbbd3af7e8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UvqMKeR+sPacET4/4MFbg7B7JXWUtPJwAvLiP3tCBvFLQ2HgP0VzrE+gCKhjQuqZEs/vOhKO9aDh3aaniF1ZAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T17:28:50.748887Z","bundle_sha256":"d80ba944bff67cb174c39bce07d9b466de4e81e80cf3af99bad1a85c97c36c31"}}