{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:K7ZQUY4RLNE2VOK3KJKFYBVUIV","short_pith_number":"pith:K7ZQUY4R","canonical_record":{"source":{"id":"hep-lat/9909019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-03T08:40:22Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"f0ddc035bfa51769cc2e9b6c7b14423ac02aaad24f9f0dd41ec6f64ca539fd56","abstract_canon_sha256":"973482934c5a8ffce00d58e8a834ce3121c3fa4a0c8c9722cbfc33496fb7127a"},"schema_version":"1.0"},"canonical_sha256":"57f30a63915b49aab95b52545c06b4457ffc223659e03791cb2c106767a9896b","source":{"kind":"arxiv","id":"hep-lat/9909019","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9909019","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9909019v1","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9909019","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"K7ZQUY4RLNE2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"K7ZQUY4RLNE2VOK3","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"K7ZQUY4R","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:K7ZQUY4RLNE2VOK3KJKFYBVUIV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9909019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-03T08:40:22Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"f0ddc035bfa51769cc2e9b6c7b14423ac02aaad24f9f0dd41ec6f64ca539fd56","abstract_canon_sha256":"973482934c5a8ffce00d58e8a834ce3121c3fa4a0c8c9722cbfc33496fb7127a"},"schema_version":"1.0"},"canonical_sha256":"57f30a63915b49aab95b52545c06b4457ffc223659e03791cb2c106767a9896b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:11.224975Z","signature_b64":"KgYbmH8m7TPddoO61oc9Oex1HZW3Dam2Q27yUgS3bXyo6PjQVkfIxdsGrem5tJEmBcEimeMM1EHbCYPAtSKPBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57f30a63915b49aab95b52545c06b4457ffc223659e03791cb2c106767a9896b","last_reissued_at":"2026-05-18T01:39:11.224552Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:11.224552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9909019","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":"2026-05-18T01:39:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sy0JK6/fJJ05qXr5JfY4+GOxnrgDjTRiowhbG+/Jv98v7AmWQ0LBIEerM13FiaxsqK/gwpUBlofPh15AXFK6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:33:07.305997Z"},"content_sha256":"b173efa8b6e6f41f16bbe1e14a0bcb2fd277f5836c5ae448a6b5fabf0e87b969","schema_version":"1.0","event_id":"sha256:b173efa8b6e6f41f16bbe1e14a0bcb2fd277f5836c5ae448a6b5fabf0e87b969"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:K7ZQUY4RLNE2VOK3KJKFYBVUIV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Four loop results for the 2D O(n) nonlinear sigma model with 0-loop and 1-loop Symanzik actions","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-lat","authors_text":"B. Alles (Milano-Bicocca), M. Pepe (Milano-Bicocca)","submitted_at":"1999-09-03T08:40:22Z","abstract_excerpt":"We present complete three loop results and preliminary four loop results for the 2D O(n) nonlinear sigma model with 0-loop and 1-loop Symanzik improved actions. This calculation aims to test the improvement in the numerical precision that the combination of Symanzik actions and effective couplings can give in Monte Carlo simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9909019","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":"2026-05-18T01:39:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gNC+AIcqeC4JXT/dZPHbbH5SstEJ0SGOd7eCNezqUT3rtRVZmacm4SWO3eaG8jc0Lno28/vXf3w9kPjzzV7+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:33:07.306349Z"},"content_sha256":"e324b02892ae27359dca1e86af45d423883200c07fba1c1da4a138aea48a9d87","schema_version":"1.0","event_id":"sha256:e324b02892ae27359dca1e86af45d423883200c07fba1c1da4a138aea48a9d87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7ZQUY4RLNE2VOK3KJKFYBVUIV/bundle.json","state_url":"https://pith.science/pith/K7ZQUY4RLNE2VOK3KJKFYBVUIV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7ZQUY4RLNE2VOK3KJKFYBVUIV/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":"2026-07-01T02:33:07Z","links":{"resolver":"https://pith.science/pith/K7ZQUY4RLNE2VOK3KJKFYBVUIV","bundle":"https://pith.science/pith/K7ZQUY4RLNE2VOK3KJKFYBVUIV/bundle.json","state":"https://pith.science/pith/K7ZQUY4RLNE2VOK3KJKFYBVUIV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7ZQUY4RLNE2VOK3KJKFYBVUIV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:K7ZQUY4RLNE2VOK3KJKFYBVUIV","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":"973482934c5a8ffce00d58e8a834ce3121c3fa4a0c8c9722cbfc33496fb7127a","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-03T08:40:22Z","title_canon_sha256":"f0ddc035bfa51769cc2e9b6c7b14423ac02aaad24f9f0dd41ec6f64ca539fd56"},"schema_version":"1.0","source":{"id":"hep-lat/9909019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9909019","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9909019v1","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9909019","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"K7ZQUY4RLNE2","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"K7ZQUY4RLNE2VOK3","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"K7ZQUY4R","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:e324b02892ae27359dca1e86af45d423883200c07fba1c1da4a138aea48a9d87","target":"graph","created_at":"2026-05-18T01:39:11Z","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 present complete three loop results and preliminary four loop results for the 2D O(n) nonlinear sigma model with 0-loop and 1-loop Symanzik improved actions. This calculation aims to test the improvement in the numerical precision that the combination of Symanzik actions and effective couplings can give in Monte Carlo simulations.","authors_text":"B. Alles (Milano-Bicocca), M. Pepe (Milano-Bicocca)","cross_cats":["cond-mat"],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1999-09-03T08:40:22Z","title":"Four loop results for the 2D O(n) nonlinear sigma model with 0-loop and 1-loop Symanzik actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9909019","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:b173efa8b6e6f41f16bbe1e14a0bcb2fd277f5836c5ae448a6b5fabf0e87b969","target":"record","created_at":"2026-05-18T01:39:11Z","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":"973482934c5a8ffce00d58e8a834ce3121c3fa4a0c8c9722cbfc33496fb7127a","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-03T08:40:22Z","title_canon_sha256":"f0ddc035bfa51769cc2e9b6c7b14423ac02aaad24f9f0dd41ec6f64ca539fd56"},"schema_version":"1.0","source":{"id":"hep-lat/9909019","kind":"arxiv","version":1}},"canonical_sha256":"57f30a63915b49aab95b52545c06b4457ffc223659e03791cb2c106767a9896b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57f30a63915b49aab95b52545c06b4457ffc223659e03791cb2c106767a9896b","first_computed_at":"2026-05-18T01:39:11.224552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:11.224552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KgYbmH8m7TPddoO61oc9Oex1HZW3Dam2Q27yUgS3bXyo6PjQVkfIxdsGrem5tJEmBcEimeMM1EHbCYPAtSKPBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:11.224975Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9909019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b173efa8b6e6f41f16bbe1e14a0bcb2fd277f5836c5ae448a6b5fabf0e87b969","sha256:e324b02892ae27359dca1e86af45d423883200c07fba1c1da4a138aea48a9d87"],"state_sha256":"1a02fcd2a0e7926800ad7a81c7a57e99ed76c8603e7a7952bafc194c420abec2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mp+YkEX76KEIJHlXY2TreLyYuqOsqVR5/0IGgCDyKmrFVSyMIzsHRxrd8wgqZzh9xHA+ac2NTbJgEieDArizCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T02:33:07.308259Z","bundle_sha256":"0a4cbdcf6c327a1ff94cfe9a2d921564c545d950691d33c08b7d7052e343fe8c"}}