{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OFM7KCGAB534QLGVVJDP4KO3FK","short_pith_number":"pith:OFM7KCGA","canonical_record":{"source":{"id":"1605.05152","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-17T13:18:23Z","cross_cats_sorted":[],"title_canon_sha256":"42b7dac48aa425839171cffaa4bfa8dd56b587b442bdf799e4df7a96474922e9","abstract_canon_sha256":"37bed78bcc9a7adc4430c24f4edb516bfc18bd1f52cacdbe4bc0d732d1499b2c"},"schema_version":"1.0"},"canonical_sha256":"7159f508c00f77c82cd5aa46fe29db2ab97968ccc3f0badccd91d9326cba5b1a","source":{"kind":"arxiv","id":"1605.05152","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05152","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05152v1","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05152","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"pith_short_12","alias_value":"OFM7KCGAB534","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OFM7KCGAB534QLGV","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OFM7KCGA","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OFM7KCGAB534QLGVVJDP4KO3FK","target":"record","payload":{"canonical_record":{"source":{"id":"1605.05152","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-17T13:18:23Z","cross_cats_sorted":[],"title_canon_sha256":"42b7dac48aa425839171cffaa4bfa8dd56b587b442bdf799e4df7a96474922e9","abstract_canon_sha256":"37bed78bcc9a7adc4430c24f4edb516bfc18bd1f52cacdbe4bc0d732d1499b2c"},"schema_version":"1.0"},"canonical_sha256":"7159f508c00f77c82cd5aa46fe29db2ab97968ccc3f0badccd91d9326cba5b1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:37.405379Z","signature_b64":"1lG/vog7lQ34p9VcUAm62epgJzBkFDaQqrVzCPzYOkbGPNy85+kIEcAq2FEuYTn/4TCzfVcahYByqCF1LPSiDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7159f508c00f77c82cd5aa46fe29db2ab97968ccc3f0badccd91d9326cba5b1a","last_reissued_at":"2026-05-18T00:51:37.404968Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:37.404968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.05152","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":"2026-05-18T00:51:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hgBBHdjb16IS3NnIwwsvZNHsGbFG4Aow7JQtQlXXRpxPRPIB48OsPKrC46gL+NgJJ1UNlYd1YwGD0PCBycJpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T06:50:31.294034Z"},"content_sha256":"0be2b51a54fc28e15bee661e1ea85eb363aa987e961b45b156a8b0b267c045f7","schema_version":"1.0","event_id":"sha256:0be2b51a54fc28e15bee661e1ea85eb363aa987e961b45b156a8b0b267c045f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OFM7KCGAB534QLGVVJDP4KO3FK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low-energy singlet sector in spin-$\\frac{1}{2}$ $J_1$--$J_2$ Heisenberg model on square lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. V. Syromyatnikov, A. Yu. Aktersky","submitted_at":"2016-05-17T13:18:23Z","abstract_excerpt":"Based on a special variant of plaquette expansion, an operator is constructed whose eigenvalues give the low-energy singlet spectrum of spin-$\\frac12$ Heisenberg antiferromagnet on square lattice with nearest- and frustrating next-nearest-neighbor exchange couplings $J_1$ and $J_2$. It is well known that a non-magnetic phase arises in this model at $0.4\\lesssim J_2/J_1\\lesssim 0.6$ sandwiched by two N\\'eel ordered phases. In agreement with previous results, we observe a first-order quantum phase transition (QPT) at $J_2\\approx 0.64J_1$ from the non-magnetic phase to the N\\'eel one. Large gap ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05152","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":"2026-05-18T00:51:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vp3b8BpJAJU2m9xoQ0kjh9iPdXkSw59kLkWJCaMSf89G9RfxthMjZQ4t9Y1Q9cKYTvwKI/lPK1Gfj8lIy8+jBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T06:50:31.294389Z"},"content_sha256":"796ba5e509269209f9d4324b7ed257af1f1ef0614e9ec3263e463a29095a5f1b","schema_version":"1.0","event_id":"sha256:796ba5e509269209f9d4324b7ed257af1f1ef0614e9ec3263e463a29095a5f1b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OFM7KCGAB534QLGVVJDP4KO3FK/bundle.json","state_url":"https://pith.science/pith/OFM7KCGAB534QLGVVJDP4KO3FK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OFM7KCGAB534QLGVVJDP4KO3FK/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":"2026-06-25T06:50:31Z","links":{"resolver":"https://pith.science/pith/OFM7KCGAB534QLGVVJDP4KO3FK","bundle":"https://pith.science/pith/OFM7KCGAB534QLGVVJDP4KO3FK/bundle.json","state":"https://pith.science/pith/OFM7KCGAB534QLGVVJDP4KO3FK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OFM7KCGAB534QLGVVJDP4KO3FK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OFM7KCGAB534QLGVVJDP4KO3FK","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":"37bed78bcc9a7adc4430c24f4edb516bfc18bd1f52cacdbe4bc0d732d1499b2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-17T13:18:23Z","title_canon_sha256":"42b7dac48aa425839171cffaa4bfa8dd56b587b442bdf799e4df7a96474922e9"},"schema_version":"1.0","source":{"id":"1605.05152","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05152","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05152v1","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05152","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"pith_short_12","alias_value":"OFM7KCGAB534","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OFM7KCGAB534QLGV","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OFM7KCGA","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:796ba5e509269209f9d4324b7ed257af1f1ef0614e9ec3263e463a29095a5f1b","target":"graph","created_at":"2026-05-18T00:51:37Z","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":"Based on a special variant of plaquette expansion, an operator is constructed whose eigenvalues give the low-energy singlet spectrum of spin-$\\frac12$ Heisenberg antiferromagnet on square lattice with nearest- and frustrating next-nearest-neighbor exchange couplings $J_1$ and $J_2$. It is well known that a non-magnetic phase arises in this model at $0.4\\lesssim J_2/J_1\\lesssim 0.6$ sandwiched by two N\\'eel ordered phases. In agreement with previous results, we observe a first-order quantum phase transition (QPT) at $J_2\\approx 0.64J_1$ from the non-magnetic phase to the N\\'eel one. Large gap (","authors_text":"A. V. Syromyatnikov, A. Yu. Aktersky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-17T13:18:23Z","title":"Low-energy singlet sector in spin-$\\frac{1}{2}$ $J_1$--$J_2$ Heisenberg model on square lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05152","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":"sha256:0be2b51a54fc28e15bee661e1ea85eb363aa987e961b45b156a8b0b267c045f7","target":"record","created_at":"2026-05-18T00:51:37Z","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":"37bed78bcc9a7adc4430c24f4edb516bfc18bd1f52cacdbe4bc0d732d1499b2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-17T13:18:23Z","title_canon_sha256":"42b7dac48aa425839171cffaa4bfa8dd56b587b442bdf799e4df7a96474922e9"},"schema_version":"1.0","source":{"id":"1605.05152","kind":"arxiv","version":1}},"canonical_sha256":"7159f508c00f77c82cd5aa46fe29db2ab97968ccc3f0badccd91d9326cba5b1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7159f508c00f77c82cd5aa46fe29db2ab97968ccc3f0badccd91d9326cba5b1a","first_computed_at":"2026-05-18T00:51:37.404968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:37.404968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1lG/vog7lQ34p9VcUAm62epgJzBkFDaQqrVzCPzYOkbGPNy85+kIEcAq2FEuYTn/4TCzfVcahYByqCF1LPSiDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:37.405379Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05152","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0be2b51a54fc28e15bee661e1ea85eb363aa987e961b45b156a8b0b267c045f7","sha256:796ba5e509269209f9d4324b7ed257af1f1ef0614e9ec3263e463a29095a5f1b"],"state_sha256":"c536c2738eb35071c8fdf57bf1daf723d0cd8fe8b4312960644ac94dbe82e1fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P+jPdO+Zb+Vqyj7UovnlwYLNWeBN0B8p8QLoli6go1FOAzd3im1MtvTX623TbSjYXpwM+AP7diK/3VERo8gvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T06:50:31.296274Z","bundle_sha256":"55663f87e566d737ebfaa66995188dd0d5c1110eb4889c213ea4d97562b76c3b"}}