{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:RZSQIVSSQ2KEZTCYB2CDPBYSPZ","short_pith_number":"pith:RZSQIVSS","canonical_record":{"source":{"id":"cond-mat/0001409","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-01-27T23:01:01Z","cross_cats_sorted":[],"title_canon_sha256":"385981ceeba43c90eb9572fb6cd01fd3bc89b9356be7c05e3cd4dd03c9d52d3b","abstract_canon_sha256":"b8e18bc4c52cd7943f660897e6d3b5bd5b7ba76eb8f424a6f68aa9fe3352e90d"},"schema_version":"1.0"},"canonical_sha256":"8e6504565286944ccc580e843787127e7438ad860ab20e43b6fb760b6dd36cdb","source":{"kind":"arxiv","id":"cond-mat/0001409","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0001409","created_at":"2026-05-18T01:40:09Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0001409v1","created_at":"2026-05-18T01:40:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0001409","created_at":"2026-05-18T01:40:09Z"},{"alias_kind":"pith_short_12","alias_value":"RZSQIVSSQ2KE","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"RZSQIVSSQ2KEZTCY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"RZSQIVSS","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:RZSQIVSSQ2KEZTCYB2CDPBYSPZ","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0001409","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-01-27T23:01:01Z","cross_cats_sorted":[],"title_canon_sha256":"385981ceeba43c90eb9572fb6cd01fd3bc89b9356be7c05e3cd4dd03c9d52d3b","abstract_canon_sha256":"b8e18bc4c52cd7943f660897e6d3b5bd5b7ba76eb8f424a6f68aa9fe3352e90d"},"schema_version":"1.0"},"canonical_sha256":"8e6504565286944ccc580e843787127e7438ad860ab20e43b6fb760b6dd36cdb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:09.179992Z","signature_b64":"+tVKkOegn22O1H0gNCfJTdAuW7rFU06YfQskemZmDpatbapWCgnErPZcCfZW4WSgMKw6HXJ72Hw3owBsBvNUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e6504565286944ccc580e843787127e7438ad860ab20e43b6fb760b6dd36cdb","last_reissued_at":"2026-05-18T01:40:09.179412Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:09.179412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0001409","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":"2026-05-18T01:40:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qLctWGPSO88J9mMzfw1ZUHvQOOM6QQDs/MTRmNeEhCqmnnYfbp67y2Kdp/4apktehlXhKDuSDzhHtOtPgBHUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:13:46.953816Z"},"content_sha256":"00bdb3919a1fabca364b05713a42ece5a3344989728987cf5c9ee4b0b4ef20b6","schema_version":"1.0","event_id":"sha256:00bdb3919a1fabca364b05713a42ece5a3344989728987cf5c9ee4b0b4ef20b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:RZSQIVSSQ2KEZTCYB2CDPBYSPZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Density of the Fisher zeroes for the Ising model","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"F. Y. Wu (Northeastern University), Wentao T. Lu","submitted_at":"2000-01-27T23:01:01Z","abstract_excerpt":"The density of the Fisher zeroes, or zeroes of the partition function in the complex temperature plane, is determined for the Ising model in zero field as well as in a pure imaginary field i Pi/2. Results are given for the simple-quartic, triangular, honeycomb, and the kagome lattices. It is found that the density diverges logarithmically at points along its loci."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0001409","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":"2026-05-18T01:40:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TbwhIABSU6NOPHFS0Mdl15LvzZ08MPGXH3ji7Jnd37FhQu6+551pA6/nWXPnNSZ2xhwmfTWBkUX0UQOYZWM+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:13:46.954647Z"},"content_sha256":"6927b0c9cc31db791806c586ae9255323a4ecb5c8c09372ecdc4c2dac7462730","schema_version":"1.0","event_id":"sha256:6927b0c9cc31db791806c586ae9255323a4ecb5c8c09372ecdc4c2dac7462730"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RZSQIVSSQ2KEZTCYB2CDPBYSPZ/bundle.json","state_url":"https://pith.science/pith/RZSQIVSSQ2KEZTCYB2CDPBYSPZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RZSQIVSSQ2KEZTCYB2CDPBYSPZ/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":"2026-05-30T23:13:46Z","links":{"resolver":"https://pith.science/pith/RZSQIVSSQ2KEZTCYB2CDPBYSPZ","bundle":"https://pith.science/pith/RZSQIVSSQ2KEZTCYB2CDPBYSPZ/bundle.json","state":"https://pith.science/pith/RZSQIVSSQ2KEZTCYB2CDPBYSPZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RZSQIVSSQ2KEZTCYB2CDPBYSPZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:RZSQIVSSQ2KEZTCYB2CDPBYSPZ","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":"b8e18bc4c52cd7943f660897e6d3b5bd5b7ba76eb8f424a6f68aa9fe3352e90d","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-01-27T23:01:01Z","title_canon_sha256":"385981ceeba43c90eb9572fb6cd01fd3bc89b9356be7c05e3cd4dd03c9d52d3b"},"schema_version":"1.0","source":{"id":"cond-mat/0001409","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0001409","created_at":"2026-05-18T01:40:09Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0001409v1","created_at":"2026-05-18T01:40:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0001409","created_at":"2026-05-18T01:40:09Z"},{"alias_kind":"pith_short_12","alias_value":"RZSQIVSSQ2KE","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"RZSQIVSSQ2KEZTCY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"RZSQIVSS","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:6927b0c9cc31db791806c586ae9255323a4ecb5c8c09372ecdc4c2dac7462730","target":"graph","created_at":"2026-05-18T01:40:09Z","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":"The density of the Fisher zeroes, or zeroes of the partition function in the complex temperature plane, is determined for the Ising model in zero field as well as in a pure imaginary field i Pi/2. Results are given for the simple-quartic, triangular, honeycomb, and the kagome lattices. It is found that the density diverges logarithmically at points along its loci.","authors_text":"F. Y. Wu (Northeastern University), Wentao T. Lu","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-01-27T23:01:01Z","title":"Density of the Fisher zeroes for the Ising model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0001409","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":"sha256:00bdb3919a1fabca364b05713a42ece5a3344989728987cf5c9ee4b0b4ef20b6","target":"record","created_at":"2026-05-18T01:40:09Z","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":"b8e18bc4c52cd7943f660897e6d3b5bd5b7ba76eb8f424a6f68aa9fe3352e90d","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-01-27T23:01:01Z","title_canon_sha256":"385981ceeba43c90eb9572fb6cd01fd3bc89b9356be7c05e3cd4dd03c9d52d3b"},"schema_version":"1.0","source":{"id":"cond-mat/0001409","kind":"arxiv","version":1}},"canonical_sha256":"8e6504565286944ccc580e843787127e7438ad860ab20e43b6fb760b6dd36cdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e6504565286944ccc580e843787127e7438ad860ab20e43b6fb760b6dd36cdb","first_computed_at":"2026-05-18T01:40:09.179412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:09.179412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+tVKkOegn22O1H0gNCfJTdAuW7rFU06YfQskemZmDpatbapWCgnErPZcCfZW4WSgMKw6HXJ72Hw3owBsBvNUAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:09.179992Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0001409","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00bdb3919a1fabca364b05713a42ece5a3344989728987cf5c9ee4b0b4ef20b6","sha256:6927b0c9cc31db791806c586ae9255323a4ecb5c8c09372ecdc4c2dac7462730"],"state_sha256":"69afcb2adc54eec3e55f2777c9d4b8ff7a33c495c7158ecfe3b01746e3d72aa6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I6TWe5wt/rTERO0LQxeJI54w5PXl7qveaEqqTlBiMAPJyihzLyyKawa7U8lWqX3h60mswQF/eMeFq6HFyzkmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:13:46.958686Z","bundle_sha256":"2f3b3f51d67120c506233da0d62a3aa274db293c4cd2ddf4fb9792370dd9b8b9"}}