{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:PLMJVPRVWTWYSOUYCMIXMYNIYU","short_pith_number":"pith:PLMJVPRV","canonical_record":{"source":{"id":"0907.1759","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T08:49:28Z","cross_cats_sorted":[],"title_canon_sha256":"9b4397e9e94bc474489a10652b8030178f59541ee516d163e4195409ce2e0e14","abstract_canon_sha256":"235b4b1c26f3d0153916b2f36e4a7ef579deed4a70c469bc5f2853d5c0bff3c0"},"schema_version":"1.0"},"canonical_sha256":"7ad89abe35b4ed893a9813117661a8c5204c14ff0cbc2ace301cd142f9ba5d7a","source":{"kind":"arxiv","id":"0907.1759","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.1759","created_at":"2026-05-18T02:13:04Z"},{"alias_kind":"arxiv_version","alias_value":"0907.1759v2","created_at":"2026-05-18T02:13:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1759","created_at":"2026-05-18T02:13:04Z"},{"alias_kind":"pith_short_12","alias_value":"PLMJVPRVWTWY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PLMJVPRVWTWYSOUY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PLMJVPRV","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:PLMJVPRVWTWYSOUYCMIXMYNIYU","target":"record","payload":{"canonical_record":{"source":{"id":"0907.1759","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T08:49:28Z","cross_cats_sorted":[],"title_canon_sha256":"9b4397e9e94bc474489a10652b8030178f59541ee516d163e4195409ce2e0e14","abstract_canon_sha256":"235b4b1c26f3d0153916b2f36e4a7ef579deed4a70c469bc5f2853d5c0bff3c0"},"schema_version":"1.0"},"canonical_sha256":"7ad89abe35b4ed893a9813117661a8c5204c14ff0cbc2ace301cd142f9ba5d7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:04.032030Z","signature_b64":"olUz0GML2v1mF8WeR9gd3Q7ktMkR5m9B04oAK0q4o0/sK4dDODSWR468JmM3PzSrKznPXD0JpfW6KcNuFiRuBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ad89abe35b4ed893a9813117661a8c5204c14ff0cbc2ace301cd142f9ba5d7a","last_reissued_at":"2026-05-18T02:13:04.031434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:04.031434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.1759","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:13:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9dsvcaZJ9zcO1ZfscS0NBGb34hA47K3zmDZ6bYk6JwTTObpB8eWL6suIwWOuvNOJG7E2n05FlgDREadWez7jDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T14:36:23.180031Z"},"content_sha256":"ff45e1287fa868e2074177d3140be83fcfbd810a014d1de8a97d3bd66b276d43","schema_version":"1.0","event_id":"sha256:ff45e1287fa868e2074177d3140be83fcfbd810a014d1de8a97d3bd66b276d43"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:PLMJVPRVWTWYSOUYCMIXMYNIYU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Arpad Hegedus, Janos Balog","submitted_at":"2009-07-10T08:49:28Z","abstract_excerpt":"Nonlinear integral equations are proposed for the description of the full finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model in a periodic box. Numerical results for the energy eigenvalues are compared to the rotator spectrum and perturbation theory for small volumes and with the recently proposed generalized Luscher formulas at large volumes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1759","kind":"arxiv","version":2},"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":"2026-05-18T02:13:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zz7KMjueiSanRSnPw0enU7iLj54/HAbKOTdV5Hz0spAeePStNMW97gf2yg9WrDCKNNN7dLSWM6Olhrj977gIBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T14:36:23.180385Z"},"content_sha256":"61f300e4f3f856e8588be41475ffd58e53ca3a4035541efa2fec639a875ae43e","schema_version":"1.0","event_id":"sha256:61f300e4f3f856e8588be41475ffd58e53ca3a4035541efa2fec639a875ae43e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PLMJVPRVWTWYSOUYCMIXMYNIYU/bundle.json","state_url":"https://pith.science/pith/PLMJVPRVWTWYSOUYCMIXMYNIYU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PLMJVPRVWTWYSOUYCMIXMYNIYU/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":"2026-06-28T14:36:23Z","links":{"resolver":"https://pith.science/pith/PLMJVPRVWTWYSOUYCMIXMYNIYU","bundle":"https://pith.science/pith/PLMJVPRVWTWYSOUYCMIXMYNIYU/bundle.json","state":"https://pith.science/pith/PLMJVPRVWTWYSOUYCMIXMYNIYU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PLMJVPRVWTWYSOUYCMIXMYNIYU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:PLMJVPRVWTWYSOUYCMIXMYNIYU","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":"235b4b1c26f3d0153916b2f36e4a7ef579deed4a70c469bc5f2853d5c0bff3c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T08:49:28Z","title_canon_sha256":"9b4397e9e94bc474489a10652b8030178f59541ee516d163e4195409ce2e0e14"},"schema_version":"1.0","source":{"id":"0907.1759","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.1759","created_at":"2026-05-18T02:13:04Z"},{"alias_kind":"arxiv_version","alias_value":"0907.1759v2","created_at":"2026-05-18T02:13:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1759","created_at":"2026-05-18T02:13:04Z"},{"alias_kind":"pith_short_12","alias_value":"PLMJVPRVWTWY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PLMJVPRVWTWYSOUY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PLMJVPRV","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:61f300e4f3f856e8588be41475ffd58e53ca3a4035541efa2fec639a875ae43e","target":"graph","created_at":"2026-05-18T02:13:04Z","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":"Nonlinear integral equations are proposed for the description of the full finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model in a periodic box. Numerical results for the energy eigenvalues are compared to the rotator spectrum and perturbation theory for small volumes and with the recently proposed generalized Luscher formulas at large volumes.","authors_text":"Arpad Hegedus, Janos Balog","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T08:49:28Z","title":"The finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1759","kind":"arxiv","version":2},"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:ff45e1287fa868e2074177d3140be83fcfbd810a014d1de8a97d3bd66b276d43","target":"record","created_at":"2026-05-18T02:13:04Z","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":"235b4b1c26f3d0153916b2f36e4a7ef579deed4a70c469bc5f2853d5c0bff3c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T08:49:28Z","title_canon_sha256":"9b4397e9e94bc474489a10652b8030178f59541ee516d163e4195409ce2e0e14"},"schema_version":"1.0","source":{"id":"0907.1759","kind":"arxiv","version":2}},"canonical_sha256":"7ad89abe35b4ed893a9813117661a8c5204c14ff0cbc2ace301cd142f9ba5d7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ad89abe35b4ed893a9813117661a8c5204c14ff0cbc2ace301cd142f9ba5d7a","first_computed_at":"2026-05-18T02:13:04.031434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:04.031434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"olUz0GML2v1mF8WeR9gd3Q7ktMkR5m9B04oAK0q4o0/sK4dDODSWR468JmM3PzSrKznPXD0JpfW6KcNuFiRuBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:04.032030Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.1759","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff45e1287fa868e2074177d3140be83fcfbd810a014d1de8a97d3bd66b276d43","sha256:61f300e4f3f856e8588be41475ffd58e53ca3a4035541efa2fec639a875ae43e"],"state_sha256":"6ca4d3d02786b30d24bf3ab6cab639447d7d71d186891312dc928c6c3dbbb9ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zTSvEfDmviKYaJyO5ifNT+0l5q8DojNeDn+GGdQR6/QTMLrTcIocU9sI5OyZtyCnfxind860qVsGjcDDUm+YBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T14:36:23.182232Z","bundle_sha256":"343608d6a5bf5c453eb71ca69133b66587b3abbb1045ed3cdff2d4051b74e380"}}