{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:DHAR5IPZMGSEQH4M5ZE3KVQR4S","short_pith_number":"pith:DHAR5IPZ","canonical_record":{"source":{"id":"cond-mat/9703187","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-03-20T17:04:06Z","cross_cats_sorted":[],"title_canon_sha256":"ac13ac791216ab2d5135364553705fc2b5129cb64f098f12166237a7556e2f68","abstract_canon_sha256":"897e921eafd14a922560ca35d5aeb5aa96858881e7e6d8ae8cd56402bb14e800"},"schema_version":"1.0"},"canonical_sha256":"19c11ea1f961a4481f8cee49b55611e4a55641214ba53991450c05e8d00cc4c2","source":{"kind":"arxiv","id":"cond-mat/9703187","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9703187","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9703187v1","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9703187","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"DHAR5IPZMGSE","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"pith_short_16","alias_value":"DHAR5IPZMGSEQH4M","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"pith_short_8","alias_value":"DHAR5IPZ","created_at":"2026-07-04T16:03:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:DHAR5IPZMGSEQH4M5ZE3KVQR4S","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9703187","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-03-20T17:04:06Z","cross_cats_sorted":[],"title_canon_sha256":"ac13ac791216ab2d5135364553705fc2b5129cb64f098f12166237a7556e2f68","abstract_canon_sha256":"897e921eafd14a922560ca35d5aeb5aa96858881e7e6d8ae8cd56402bb14e800"},"schema_version":"1.0"},"canonical_sha256":"19c11ea1f961a4481f8cee49b55611e4a55641214ba53991450c05e8d00cc4c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:03:45.851228Z","signature_b64":"JH++BFmAAHUxxN5Jq0ub0+/q5CfF6kVzjlLbUWoVBW7xoDZgsC+7DKIB7wQfhu0GalCbXAgWKPtNMWK+xm/PAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19c11ea1f961a4481f8cee49b55611e4a55641214ba53991450c05e8d00cc4c2","last_reissued_at":"2026-07-04T16:03:45.850872Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:03:45.850872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9703187","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":"2026-07-04T16:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UKTYz0E1E3b/oNDtZdq4bsCyUMloBocTC4NorJa/6AmdUEDL6qMJaPoAhCT19NKcISeCP/mu700Rxg75C0BhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:42:51.754874Z"},"content_sha256":"a48e7860fc67ef648c398755eef254d92c3571930fdb0b8971a720f07eba268c","schema_version":"1.0","event_id":"sha256:a48e7860fc67ef648c398755eef254d92c3571930fdb0b8971a720f07eba268c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:DHAR5IPZMGSEQH4M5ZE3KVQR4S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complex-Temperature Phase Diagrams of 1D Spin Models with Next-Nearest-Neighbor Couplings","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Robert Shrock, Shan-Ho Tsai (Institute for Theoretical Physics, State University of New York at Stony Brook)","submitted_at":"1997-03-20T17:04:06Z","abstract_excerpt":"We study the dependence of complex-temperature phase diagrams on details of the Hamiltonian, focusing on the effect of non-nearest-neighbor spin-spin couplings. For this purpose, we consider a simple exactly solvable model, the 1D Ising model with nearest-neighbor (NN) and next-to-nearest-neighbor (NNN) couplings. We work out the exact phase diagrams for various values of $J_{nnn}/J_{nn}$ and compare these with the case of pure nearest-neighbor (NN) couplings. We also give some similar results for the 1D Potts model with NN and NNN couplings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9703187","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/9703187/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x4RD8VGKYdArIbmFmyrbr8XzBvcILeKHyA+o6/pMXj6h83jUNAd+6g8FFZ1wm9o0JfKTfsNvpQazT0jkVaLbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T23:42:51.755269Z"},"content_sha256":"1e7ce4bf3aee1b2274d8a24e30b43cb3d753044aa31e12b2c6de4448b3db82a8","schema_version":"1.0","event_id":"sha256:1e7ce4bf3aee1b2274d8a24e30b43cb3d753044aa31e12b2c6de4448b3db82a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DHAR5IPZMGSEQH4M5ZE3KVQR4S/bundle.json","state_url":"https://pith.science/pith/DHAR5IPZMGSEQH4M5ZE3KVQR4S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DHAR5IPZMGSEQH4M5ZE3KVQR4S/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":"2026-07-04T23:42:51Z","links":{"resolver":"https://pith.science/pith/DHAR5IPZMGSEQH4M5ZE3KVQR4S","bundle":"https://pith.science/pith/DHAR5IPZMGSEQH4M5ZE3KVQR4S/bundle.json","state":"https://pith.science/pith/DHAR5IPZMGSEQH4M5ZE3KVQR4S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DHAR5IPZMGSEQH4M5ZE3KVQR4S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:DHAR5IPZMGSEQH4M5ZE3KVQR4S","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":"897e921eafd14a922560ca35d5aeb5aa96858881e7e6d8ae8cd56402bb14e800","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-03-20T17:04:06Z","title_canon_sha256":"ac13ac791216ab2d5135364553705fc2b5129cb64f098f12166237a7556e2f68"},"schema_version":"1.0","source":{"id":"cond-mat/9703187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9703187","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9703187v1","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9703187","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"DHAR5IPZMGSE","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"pith_short_16","alias_value":"DHAR5IPZMGSEQH4M","created_at":"2026-07-04T16:03:45Z"},{"alias_kind":"pith_short_8","alias_value":"DHAR5IPZ","created_at":"2026-07-04T16:03:45Z"}],"graph_snapshots":[{"event_id":"sha256:1e7ce4bf3aee1b2274d8a24e30b43cb3d753044aa31e12b2c6de4448b3db82a8","target":"graph","created_at":"2026-07-04T16:03:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/9703187/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the dependence of complex-temperature phase diagrams on details of the Hamiltonian, focusing on the effect of non-nearest-neighbor spin-spin couplings. For this purpose, we consider a simple exactly solvable model, the 1D Ising model with nearest-neighbor (NN) and next-to-nearest-neighbor (NNN) couplings. We work out the exact phase diagrams for various values of $J_{nnn}/J_{nn}$ and compare these with the case of pure nearest-neighbor (NN) couplings. We also give some similar results for the 1D Potts model with NN and NNN couplings.","authors_text":"Robert Shrock, Shan-Ho Tsai (Institute for Theoretical Physics, State University of New York at Stony Brook)","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-03-20T17:04:06Z","title":"Complex-Temperature Phase Diagrams of 1D Spin Models with Next-Nearest-Neighbor Couplings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9703187","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:a48e7860fc67ef648c398755eef254d92c3571930fdb0b8971a720f07eba268c","target":"record","created_at":"2026-07-04T16:03:45Z","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":"897e921eafd14a922560ca35d5aeb5aa96858881e7e6d8ae8cd56402bb14e800","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-03-20T17:04:06Z","title_canon_sha256":"ac13ac791216ab2d5135364553705fc2b5129cb64f098f12166237a7556e2f68"},"schema_version":"1.0","source":{"id":"cond-mat/9703187","kind":"arxiv","version":1}},"canonical_sha256":"19c11ea1f961a4481f8cee49b55611e4a55641214ba53991450c05e8d00cc4c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19c11ea1f961a4481f8cee49b55611e4a55641214ba53991450c05e8d00cc4c2","first_computed_at":"2026-07-04T16:03:45.850872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:03:45.850872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JH++BFmAAHUxxN5Jq0ub0+/q5CfF6kVzjlLbUWoVBW7xoDZgsC+7DKIB7wQfhu0GalCbXAgWKPtNMWK+xm/PAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:03:45.851228Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9703187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a48e7860fc67ef648c398755eef254d92c3571930fdb0b8971a720f07eba268c","sha256:1e7ce4bf3aee1b2274d8a24e30b43cb3d753044aa31e12b2c6de4448b3db82a8"],"state_sha256":"15964cc808a1487f6f8441f3ffc6053b123f8564226c4e30ab3eefce11d55893"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"icXqMZFSJHvg+2myaWiSZpVkZr7XCjFNEjiPH7oehe6e+zXBMVMAQ145lqTwx2pdxNnlexREGswdn3et6PzADQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T23:42:51.757696Z","bundle_sha256":"3ce802a6f8f2c8f435bf7da8ab1cdb8d2239da0621d11562f5694ca63d7863d2"}}