{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:F3D6VZNTPM5DU2RVKUSNNMICV3","short_pith_number":"pith:F3D6VZNT","canonical_record":{"source":{"id":"cond-mat/9701214","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-01-30T03:40:47Z","cross_cats_sorted":[],"title_canon_sha256":"7abca4f115ba71d119bf4e37d85b340663fe899d41020371eeb49a45d56f11f7","abstract_canon_sha256":"133c49a423eec1ddd16c5cc8a24748b92c5cd4694ff173105dfb205bb30c5583"},"schema_version":"1.0"},"canonical_sha256":"2ec7eae5b37b3a3a6a355524d6b102aec84547a430f8c18625b6ef72403baa3e","source":{"kind":"arxiv","id":"cond-mat/9701214","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9701214","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9701214v1","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9701214","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"pith_short_12","alias_value":"F3D6VZNTPM5D","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"F3D6VZNTPM5DU2RV","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"F3D6VZNT","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:F3D6VZNTPM5DU2RVKUSNNMICV3","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9701214","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-01-30T03:40:47Z","cross_cats_sorted":[],"title_canon_sha256":"7abca4f115ba71d119bf4e37d85b340663fe899d41020371eeb49a45d56f11f7","abstract_canon_sha256":"133c49a423eec1ddd16c5cc8a24748b92c5cd4694ff173105dfb205bb30c5583"},"schema_version":"1.0"},"canonical_sha256":"2ec7eae5b37b3a3a6a355524d6b102aec84547a430f8c18625b6ef72403baa3e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:08.707521Z","signature_b64":"zXVobq/onEFpr+HrK8Oo8NkCoyy0UFrrKrtnTif0rtgG7rlMjk4w3ZeEh3k6qTXmv12EF3lqH83pJ+/wQTUBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ec7eae5b37b3a3a6a355524d6b102aec84547a430f8c18625b6ef72403baa3e","last_reissued_at":"2026-05-18T01:07:08.707050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:08.707050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9701214","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":"2026-05-18T01:07:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FXlbxBk6sgIqRWvKP5INERygYWK/wetpnPN7qn7ybqUhyRJMlvS5oX3tqAkiBEVkjChwUxqCjjnJo5GvcttVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:06:05.703631Z"},"content_sha256":"24c0f2b25b1ebe31419ca02b7da60b78ce7afb3b6b37198641f3d5acc18f8936","schema_version":"1.0","event_id":"sha256:24c0f2b25b1ebe31419ca02b7da60b78ce7afb3b6b37198641f3d5acc18f8936"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:F3D6VZNTPM5DU2RVKUSNNMICV3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Various series expansions for the bilayer S=1/2 Heisenberg antiferromagnet","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Australia), Sydney, Zheng Weihong (Univ. of New South Wales","submitted_at":"1997-01-30T03:40:47Z","abstract_excerpt":"Various series expansions have been developed for the two-layer, S=1/2, square lattice Heisenberg antiferromagnet. High temperature expansions are used to calculate the temperature dependence of the susceptibility and specific heat. At T=0, Ising expansions are used to study the properties of the N\\'{e}el-ordered phase, while dimer expansions are used to calculate the ground-state properties and excitation spectra of the magnetically disordered phase. The antiferromagnetic order-disorder transition point is determined to be $(J_2/J_1)_c=2.537(5)$. Quantities computed include the staggered magn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9701214","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":"2026-05-18T01:07:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8D934JiAQTraGz8DzF6Jg1FArt2cuCq/almHbCvUBLapMvXSGnkaLtvx7nRcS+ATjQcfNeCtoewrI6Fvo8qrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:06:05.703969Z"},"content_sha256":"783dc4b0cf7a1465300bc74aa6496ecab37477a2d96b940dccfd9d4a3f2e595c","schema_version":"1.0","event_id":"sha256:783dc4b0cf7a1465300bc74aa6496ecab37477a2d96b940dccfd9d4a3f2e595c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F3D6VZNTPM5DU2RVKUSNNMICV3/bundle.json","state_url":"https://pith.science/pith/F3D6VZNTPM5DU2RVKUSNNMICV3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F3D6VZNTPM5DU2RVKUSNNMICV3/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":"2026-07-05T08:06:05Z","links":{"resolver":"https://pith.science/pith/F3D6VZNTPM5DU2RVKUSNNMICV3","bundle":"https://pith.science/pith/F3D6VZNTPM5DU2RVKUSNNMICV3/bundle.json","state":"https://pith.science/pith/F3D6VZNTPM5DU2RVKUSNNMICV3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F3D6VZNTPM5DU2RVKUSNNMICV3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:F3D6VZNTPM5DU2RVKUSNNMICV3","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":"133c49a423eec1ddd16c5cc8a24748b92c5cd4694ff173105dfb205bb30c5583","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-01-30T03:40:47Z","title_canon_sha256":"7abca4f115ba71d119bf4e37d85b340663fe899d41020371eeb49a45d56f11f7"},"schema_version":"1.0","source":{"id":"cond-mat/9701214","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9701214","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9701214v1","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9701214","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"pith_short_12","alias_value":"F3D6VZNTPM5D","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"F3D6VZNTPM5DU2RV","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"F3D6VZNT","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:783dc4b0cf7a1465300bc74aa6496ecab37477a2d96b940dccfd9d4a3f2e595c","target":"graph","created_at":"2026-05-18T01:07:08Z","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":"Various series expansions have been developed for the two-layer, S=1/2, square lattice Heisenberg antiferromagnet. High temperature expansions are used to calculate the temperature dependence of the susceptibility and specific heat. At T=0, Ising expansions are used to study the properties of the N\\'{e}el-ordered phase, while dimer expansions are used to calculate the ground-state properties and excitation spectra of the magnetically disordered phase. The antiferromagnetic order-disorder transition point is determined to be $(J_2/J_1)_c=2.537(5)$. Quantities computed include the staggered magn","authors_text":"Australia), Sydney, Zheng Weihong (Univ. of New South Wales","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-01-30T03:40:47Z","title":"Various series expansions for the bilayer S=1/2 Heisenberg antiferromagnet"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9701214","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":"sha256:24c0f2b25b1ebe31419ca02b7da60b78ce7afb3b6b37198641f3d5acc18f8936","target":"record","created_at":"2026-05-18T01:07:08Z","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":"133c49a423eec1ddd16c5cc8a24748b92c5cd4694ff173105dfb205bb30c5583","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-01-30T03:40:47Z","title_canon_sha256":"7abca4f115ba71d119bf4e37d85b340663fe899d41020371eeb49a45d56f11f7"},"schema_version":"1.0","source":{"id":"cond-mat/9701214","kind":"arxiv","version":1}},"canonical_sha256":"2ec7eae5b37b3a3a6a355524d6b102aec84547a430f8c18625b6ef72403baa3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ec7eae5b37b3a3a6a355524d6b102aec84547a430f8c18625b6ef72403baa3e","first_computed_at":"2026-05-18T01:07:08.707050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:08.707050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zXVobq/onEFpr+HrK8Oo8NkCoyy0UFrrKrtnTif0rtgG7rlMjk4w3ZeEh3k6qTXmv12EF3lqH83pJ+/wQTUBCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:08.707521Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9701214","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24c0f2b25b1ebe31419ca02b7da60b78ce7afb3b6b37198641f3d5acc18f8936","sha256:783dc4b0cf7a1465300bc74aa6496ecab37477a2d96b940dccfd9d4a3f2e595c"],"state_sha256":"0e766f27d6b56801ba4dcf0c51847d2db5849f3710ba9a6282f4a60d5ba831ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cRUsBS21P6yF8N8dHBMexArxQExjZevae8fjp2SoIFKT5RSCQUKlb+4lRGMFVqMIjB5hA/JyP90KZu3O9oVMCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T08:06:05.705794Z","bundle_sha256":"35aece5871c7a9a5197b8c23bfecd689d9530908060318cdd529cd41bde79489"}}