{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:Q2ZIBXXJDJKVCXXAH6CEIK7J6G","short_pith_number":"pith:Q2ZIBXXJ","canonical_record":{"source":{"id":"hep-lat/9407026","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-07-29T10:53:29Z","cross_cats_sorted":[],"title_canon_sha256":"14369f38597d57bd5f08f477b6314faad88afc91e6dbbddd859e54a7a1112996","abstract_canon_sha256":"c90afa929be853abc06f4bffa80e63ba1974290e8592ab9ca6ba15fa3baf1ba2"},"schema_version":"1.0"},"canonical_sha256":"86b280dee91a55515ee03f84442be9f197fbd649d5ca640c8b99f97148b3d974","source":{"kind":"arxiv","id":"hep-lat/9407026","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9407026","created_at":"2026-05-18T04:17:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9407026v1","created_at":"2026-05-18T04:17:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9407026","created_at":"2026-05-18T04:17:45Z"},{"alias_kind":"pith_short_12","alias_value":"Q2ZIBXXJDJKV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"Q2ZIBXXJDJKVCXXA","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"Q2ZIBXXJ","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:Q2ZIBXXJDJKVCXXAH6CEIK7J6G","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9407026","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-07-29T10:53:29Z","cross_cats_sorted":[],"title_canon_sha256":"14369f38597d57bd5f08f477b6314faad88afc91e6dbbddd859e54a7a1112996","abstract_canon_sha256":"c90afa929be853abc06f4bffa80e63ba1974290e8592ab9ca6ba15fa3baf1ba2"},"schema_version":"1.0"},"canonical_sha256":"86b280dee91a55515ee03f84442be9f197fbd649d5ca640c8b99f97148b3d974","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:45.936462Z","signature_b64":"4KtEzT9TnjNtOnyvmzabljHZ/yAhLmytWKmFEwOQ6UUB+12jozp3TZRKPkriPXkXAcUFdd+7euZDyo4suYbvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86b280dee91a55515ee03f84442be9f197fbd649d5ca640c8b99f97148b3d974","last_reissued_at":"2026-05-18T04:17:45.935913Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:45.935913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9407026","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":"2026-05-18T04:17:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ythj/HvSzSBS5yvRXBoDI0MIhYsidQHr7mxM5l6aZc3Xy5DHLkUigyUNHVmeqJdnE5Ef3xw33jGfWpqARWrTAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:08:38.114618Z"},"content_sha256":"78d7a7c765edf22ecb97292e3d5f175f662a3276ea94db5f335a75ecd2f57739","schema_version":"1.0","event_id":"sha256:78d7a7c765edf22ecb97292e3d5f175f662a3276ea94db5f335a75ecd2f57739"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:Q2ZIBXXJDJKVCXXAH6CEIK7J6G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heating and small-size instantons in the $O(3) \\:\\sigma$ model on the lattice","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. Papa, F. Farchioni","submitted_at":"1994-07-29T10:53:29Z","abstract_excerpt":"We study the role of small-size instantons in the determination of the topological susceptibility of the 2-d $O(3) \\: \\sigma $ model on the lattice. In particular, we analyze how they affect the non-perturbative determination, by Monte Carlo techniques, of the renormalizations on the lattice. As a result, we obtain a high-precision non-perturbative determination of the mixing with the unity operator, finding good agreement with perturbative computations. We also obtain the size distribution of instantons in the physical vacuum up to very small values of the size in physical units, without obse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9407026","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":"2026-05-18T04:17:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uk5nJNxJ3kxzXnaRmrgfTIScIZit1XeqSMYmMlh7izkWbkgxgZB8xDvnpAo/DTkf2S4aIGLMi+r+OJmDYaY/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:08:38.115263Z"},"content_sha256":"462a8bf89a0e4a75d951e561e2b1e44c009b56821af1ee5643ea1c239126cf69","schema_version":"1.0","event_id":"sha256:462a8bf89a0e4a75d951e561e2b1e44c009b56821af1ee5643ea1c239126cf69"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q2ZIBXXJDJKVCXXAH6CEIK7J6G/bundle.json","state_url":"https://pith.science/pith/Q2ZIBXXJDJKVCXXAH6CEIK7J6G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q2ZIBXXJDJKVCXXAH6CEIK7J6G/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":"2026-05-31T11:08:38Z","links":{"resolver":"https://pith.science/pith/Q2ZIBXXJDJKVCXXAH6CEIK7J6G","bundle":"https://pith.science/pith/Q2ZIBXXJDJKVCXXAH6CEIK7J6G/bundle.json","state":"https://pith.science/pith/Q2ZIBXXJDJKVCXXAH6CEIK7J6G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q2ZIBXXJDJKVCXXAH6CEIK7J6G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:Q2ZIBXXJDJKVCXXAH6CEIK7J6G","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":"c90afa929be853abc06f4bffa80e63ba1974290e8592ab9ca6ba15fa3baf1ba2","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1994-07-29T10:53:29Z","title_canon_sha256":"14369f38597d57bd5f08f477b6314faad88afc91e6dbbddd859e54a7a1112996"},"schema_version":"1.0","source":{"id":"hep-lat/9407026","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9407026","created_at":"2026-05-18T04:17:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9407026v1","created_at":"2026-05-18T04:17:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9407026","created_at":"2026-05-18T04:17:45Z"},{"alias_kind":"pith_short_12","alias_value":"Q2ZIBXXJDJKV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"Q2ZIBXXJDJKVCXXA","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"Q2ZIBXXJ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:462a8bf89a0e4a75d951e561e2b1e44c009b56821af1ee5643ea1c239126cf69","target":"graph","created_at":"2026-05-18T04:17:45Z","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"},"paper":{"abstract_excerpt":"We study the role of small-size instantons in the determination of the topological susceptibility of the 2-d $O(3) \\: \\sigma $ model on the lattice. In particular, we analyze how they affect the non-perturbative determination, by Monte Carlo techniques, of the renormalizations on the lattice. As a result, we obtain a high-precision non-perturbative determination of the mixing with the unity operator, finding good agreement with perturbative computations. We also obtain the size distribution of instantons in the physical vacuum up to very small values of the size in physical units, without obse","authors_text":"A. Papa, F. Farchioni","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1994-07-29T10:53:29Z","title":"Heating and small-size instantons in the $O(3) \\:\\sigma$ model on the lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9407026","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":"sha256:78d7a7c765edf22ecb97292e3d5f175f662a3276ea94db5f335a75ecd2f57739","target":"record","created_at":"2026-05-18T04:17:45Z","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":"c90afa929be853abc06f4bffa80e63ba1974290e8592ab9ca6ba15fa3baf1ba2","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1994-07-29T10:53:29Z","title_canon_sha256":"14369f38597d57bd5f08f477b6314faad88afc91e6dbbddd859e54a7a1112996"},"schema_version":"1.0","source":{"id":"hep-lat/9407026","kind":"arxiv","version":1}},"canonical_sha256":"86b280dee91a55515ee03f84442be9f197fbd649d5ca640c8b99f97148b3d974","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86b280dee91a55515ee03f84442be9f197fbd649d5ca640c8b99f97148b3d974","first_computed_at":"2026-05-18T04:17:45.935913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:45.935913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4KtEzT9TnjNtOnyvmzabljHZ/yAhLmytWKmFEwOQ6UUB+12jozp3TZRKPkriPXkXAcUFdd+7euZDyo4suYbvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:45.936462Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9407026","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78d7a7c765edf22ecb97292e3d5f175f662a3276ea94db5f335a75ecd2f57739","sha256:462a8bf89a0e4a75d951e561e2b1e44c009b56821af1ee5643ea1c239126cf69"],"state_sha256":"db08a21148ee8d9ecea41e1772304e39cdda96eb7baf543bb9d268596195a850"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMe3i6HXQfmqD9sPm66MflUe7cLFjIVOs2yI+FRZcIemcC2ehrVsyfVxERqOU9c2Hfx76aMcPC+BY6Z41nTeAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:08:38.119417Z","bundle_sha256":"e8dfc943ba76ffbab05ac9ff209282c07720a1d7360878e31ddc5392d7f815db"}}