{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:PLHGAJ2A3KTVLYVJLC22I2HCNU","short_pith_number":"pith:PLHGAJ2A","canonical_record":{"source":{"id":"hep-th/0209019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-09-02T15:57:43Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"4d9c361c49b94862b228e8309efbc5a039c8b75cc0c4204a11a49be263df0b51","abstract_canon_sha256":"339f2f4f8b42a97a098009bf9f43a00e70420e5f359692164a83d0c16712c5da"},"schema_version":"1.0"},"canonical_sha256":"7ace602740daa755e2a958b5a468e26d34d4a173ab9b996681919f4a992948ed","source":{"kind":"arxiv","id":"hep-th/0209019","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0209019","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0209019v1","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0209019","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"pith_short_12","alias_value":"PLHGAJ2A3KTV","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"PLHGAJ2A3KTVLYVJ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"PLHGAJ2A","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:PLHGAJ2A3KTVLYVJLC22I2HCNU","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0209019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-09-02T15:57:43Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"4d9c361c49b94862b228e8309efbc5a039c8b75cc0c4204a11a49be263df0b51","abstract_canon_sha256":"339f2f4f8b42a97a098009bf9f43a00e70420e5f359692164a83d0c16712c5da"},"schema_version":"1.0"},"canonical_sha256":"7ace602740daa755e2a958b5a468e26d34d4a173ab9b996681919f4a992948ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:00.143827Z","signature_b64":"3AVFLcDrcY2IrPjskKAx0mgOcDsiTgnQlCgCSASHOF3/R0RWS/DQWhTLdeMLUlwc+WORcR3uhS0rMk+GXuzNAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ace602740daa755e2a958b5a468e26d34d4a173ab9b996681919f4a992948ed","last_reissued_at":"2026-05-18T01:09:00.143385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:00.143385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0209019","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":"2026-05-18T01:09:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+s9BCJV0tAUHpQMFUHpx51fq7QcjRwVWnfryfdCcZAFIL3gHxgTrbMVYm0SVhQdKS9HPUGqBZNW4Jryvu436Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:20:43.800691Z"},"content_sha256":"5d56ade36614f52b666090025f3f4a5ed31607012a3d8305307f53312f371a44","schema_version":"1.0","event_id":"sha256:5d56ade36614f52b666090025f3f4a5ed31607012a3d8305307f53312f371a44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:PLHGAJ2A3KTVLYVJLC22I2HCNU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improved harmonic approximation and the 2D Ising model at $T\\neq T_{c}$ and $h\\neq0$","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-th","authors_text":"An\\'ibal Iucci, Carlos M. Na\\'on","submitted_at":"2002-09-02T15:57:43Z","abstract_excerpt":"We propose a new method to determine the unknown parameter associated to a self-consistent harmonic approximation. We check the validity of our technique in the context of the sine-Gordon model. As a non trivial application we consider the scaling regime of the 2D Ising model away from the critical point and in the presence of a magnetic field $h$. We derive an expression that relates the approximate correlation length $\\xi$, $T-T_c$ and $h$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0209019","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":"2026-05-18T01:09:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eOnQvgtNSSkkGWTU1KV74URe1Ny4sbOvpDWerqzRHRTN0hoDqUeYhs0P77zFZyk3NGMQQQZBSyX7b83rszGEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:20:43.801257Z"},"content_sha256":"58af5b04bf0ec555eff4282fd6b839471d9b16336ce4fe0ca088a03ec8023e25","schema_version":"1.0","event_id":"sha256:58af5b04bf0ec555eff4282fd6b839471d9b16336ce4fe0ca088a03ec8023e25"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PLHGAJ2A3KTVLYVJLC22I2HCNU/bundle.json","state_url":"https://pith.science/pith/PLHGAJ2A3KTVLYVJLC22I2HCNU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PLHGAJ2A3KTVLYVJLC22I2HCNU/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":"2026-06-04T23:20:43Z","links":{"resolver":"https://pith.science/pith/PLHGAJ2A3KTVLYVJLC22I2HCNU","bundle":"https://pith.science/pith/PLHGAJ2A3KTVLYVJLC22I2HCNU/bundle.json","state":"https://pith.science/pith/PLHGAJ2A3KTVLYVJLC22I2HCNU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PLHGAJ2A3KTVLYVJLC22I2HCNU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:PLHGAJ2A3KTVLYVJLC22I2HCNU","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":"339f2f4f8b42a97a098009bf9f43a00e70420e5f359692164a83d0c16712c5da","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-th","submitted_at":"2002-09-02T15:57:43Z","title_canon_sha256":"4d9c361c49b94862b228e8309efbc5a039c8b75cc0c4204a11a49be263df0b51"},"schema_version":"1.0","source":{"id":"hep-th/0209019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0209019","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0209019v1","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0209019","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"pith_short_12","alias_value":"PLHGAJ2A3KTV","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"PLHGAJ2A3KTVLYVJ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"PLHGAJ2A","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:58af5b04bf0ec555eff4282fd6b839471d9b16336ce4fe0ca088a03ec8023e25","target":"graph","created_at":"2026-05-18T01:09:00Z","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 propose a new method to determine the unknown parameter associated to a self-consistent harmonic approximation. We check the validity of our technique in the context of the sine-Gordon model. As a non trivial application we consider the scaling regime of the 2D Ising model away from the critical point and in the presence of a magnetic field $h$. We derive an expression that relates the approximate correlation length $\\xi$, $T-T_c$ and $h$.","authors_text":"An\\'ibal Iucci, Carlos M. Na\\'on","cross_cats":["cond-mat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-09-02T15:57:43Z","title":"Improved harmonic approximation and the 2D Ising model at $T\\neq T_{c}$ and $h\\neq0$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0209019","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":"sha256:5d56ade36614f52b666090025f3f4a5ed31607012a3d8305307f53312f371a44","target":"record","created_at":"2026-05-18T01:09:00Z","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":"339f2f4f8b42a97a098009bf9f43a00e70420e5f359692164a83d0c16712c5da","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-th","submitted_at":"2002-09-02T15:57:43Z","title_canon_sha256":"4d9c361c49b94862b228e8309efbc5a039c8b75cc0c4204a11a49be263df0b51"},"schema_version":"1.0","source":{"id":"hep-th/0209019","kind":"arxiv","version":1}},"canonical_sha256":"7ace602740daa755e2a958b5a468e26d34d4a173ab9b996681919f4a992948ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ace602740daa755e2a958b5a468e26d34d4a173ab9b996681919f4a992948ed","first_computed_at":"2026-05-18T01:09:00.143385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:00.143385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3AVFLcDrcY2IrPjskKAx0mgOcDsiTgnQlCgCSASHOF3/R0RWS/DQWhTLdeMLUlwc+WORcR3uhS0rMk+GXuzNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:00.143827Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0209019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d56ade36614f52b666090025f3f4a5ed31607012a3d8305307f53312f371a44","sha256:58af5b04bf0ec555eff4282fd6b839471d9b16336ce4fe0ca088a03ec8023e25"],"state_sha256":"406291a3cf212dd6dde44fe5ab6ea2dc2c9f772061cbdb95832abb0df038c5f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gl47dA4b0sGq0ah7vMLzkT+QVxSRrBH/42KycJFBNMD72cAixBU61Ll3QdWNlk5heWLQ2w3SACJXFvrJLXkvBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:20:43.804248Z","bundle_sha256":"c0e765e4d055aee1d46fa553fb02cd7604649d6b04e110810645e17b17cbd559"}}