{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AU5WL6F2T5M5WMBT57FLR3RGCQ","short_pith_number":"pith:AU5WL6F2","canonical_record":{"source":{"id":"1306.2936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-06-12T19:57:23Z","cross_cats_sorted":[],"title_canon_sha256":"f93de8bde38ab16b58c87dd4e96746f2cedc60b1b66b33c03e27444f0ba69bd3","abstract_canon_sha256":"13a835e1f49ef34dea01ad844abd7aa327511aa20317d939b4326d36d814c3ef"},"schema_version":"1.0"},"canonical_sha256":"053b65f8ba9f59db3033efcab8ee26143eeaf1739ba72dcaea80872fcca76c24","source":{"kind":"arxiv","id":"1306.2936","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2936","created_at":"2026-05-18T01:49:23Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2936v2","created_at":"2026-05-18T01:49:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2936","created_at":"2026-05-18T01:49:23Z"},{"alias_kind":"pith_short_12","alias_value":"AU5WL6F2T5M5","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AU5WL6F2T5M5WMBT","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AU5WL6F2","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AU5WL6F2T5M5WMBT57FLR3RGCQ","target":"record","payload":{"canonical_record":{"source":{"id":"1306.2936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-06-12T19:57:23Z","cross_cats_sorted":[],"title_canon_sha256":"f93de8bde38ab16b58c87dd4e96746f2cedc60b1b66b33c03e27444f0ba69bd3","abstract_canon_sha256":"13a835e1f49ef34dea01ad844abd7aa327511aa20317d939b4326d36d814c3ef"},"schema_version":"1.0"},"canonical_sha256":"053b65f8ba9f59db3033efcab8ee26143eeaf1739ba72dcaea80872fcca76c24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:23.068356Z","signature_b64":"AcoRCJJ1mXFAQAc5dKqsQqXweYEgwngRsNtYcT4pEFyTmchpQwF7F/5NEZugbTvVnmk8TSHbMgA9V7rz7C2YAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"053b65f8ba9f59db3033efcab8ee26143eeaf1739ba72dcaea80872fcca76c24","last_reissued_at":"2026-05-18T01:49:23.067814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:23.067814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.2936","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":"2026-05-18T01:49:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GRCg9ydPFHR6Kv52IhnKe13wBRrGCNrFCyafDJ1LKU2nEzaorxEetldxZYoyg92qSzVzeQACT7DF6kAsSpVLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:23:45.229074Z"},"content_sha256":"377892834820fa261ed819a7d7cca9ea2bd11518b940508cb507c0ea35e2c3e2","schema_version":"1.0","event_id":"sha256:377892834820fa261ed819a7d7cca9ea2bd11518b940508cb507c0ea35e2c3e2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AU5WL6F2T5M5WMBT57FLR3RGCQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neutral $\\rho$ and $A$ mesons in magnetic field in SU(2) lattice gauge theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"E.V. Luschevskaya, O.V. Larina","submitted_at":"2013-06-12T19:57:23Z","abstract_excerpt":"Correlators of vector, axial and pseudoscalar currents have been calculated in external strong magnetic field in SU(2) gluodynamics on the lattice. Neutral $\\rho$ and $A$ meson masses with a zero spin projection to the axis parallel to the external magnetic field $B$ are calculated. The mass of the neutral $\\rho$ meson with zero spin decreases with increasing of the magnetic field for available values of the magnetic field $eB\\lesssim 2-2.5\\, \\Gev^2$, such behavior is necessary for a condensation of $\\rho$ mesons in a strong magnetic field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2936","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":"2026-05-18T01:49:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JZpjewUSWI7g0yIH7B5BTlA958EISng3anKkAxsMkA+pNEki2KySCzo8cJE6riKFWbssvw8RGjm9UJRGh7zPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:23:45.229784Z"},"content_sha256":"537dc0fd7125e777f225cbf63431f8893742bdef0cb9200817a2d732ae3c95c0","schema_version":"1.0","event_id":"sha256:537dc0fd7125e777f225cbf63431f8893742bdef0cb9200817a2d732ae3c95c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AU5WL6F2T5M5WMBT57FLR3RGCQ/bundle.json","state_url":"https://pith.science/pith/AU5WL6F2T5M5WMBT57FLR3RGCQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AU5WL6F2T5M5WMBT57FLR3RGCQ/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":"2026-05-31T19:23:45Z","links":{"resolver":"https://pith.science/pith/AU5WL6F2T5M5WMBT57FLR3RGCQ","bundle":"https://pith.science/pith/AU5WL6F2T5M5WMBT57FLR3RGCQ/bundle.json","state":"https://pith.science/pith/AU5WL6F2T5M5WMBT57FLR3RGCQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AU5WL6F2T5M5WMBT57FLR3RGCQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AU5WL6F2T5M5WMBT57FLR3RGCQ","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":"13a835e1f49ef34dea01ad844abd7aa327511aa20317d939b4326d36d814c3ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-06-12T19:57:23Z","title_canon_sha256":"f93de8bde38ab16b58c87dd4e96746f2cedc60b1b66b33c03e27444f0ba69bd3"},"schema_version":"1.0","source":{"id":"1306.2936","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2936","created_at":"2026-05-18T01:49:23Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2936v2","created_at":"2026-05-18T01:49:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2936","created_at":"2026-05-18T01:49:23Z"},{"alias_kind":"pith_short_12","alias_value":"AU5WL6F2T5M5","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AU5WL6F2T5M5WMBT","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AU5WL6F2","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:537dc0fd7125e777f225cbf63431f8893742bdef0cb9200817a2d732ae3c95c0","target":"graph","created_at":"2026-05-18T01:49:23Z","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":"Correlators of vector, axial and pseudoscalar currents have been calculated in external strong magnetic field in SU(2) gluodynamics on the lattice. Neutral $\\rho$ and $A$ meson masses with a zero spin projection to the axis parallel to the external magnetic field $B$ are calculated. The mass of the neutral $\\rho$ meson with zero spin decreases with increasing of the magnetic field for available values of the magnetic field $eB\\lesssim 2-2.5\\, \\Gev^2$, such behavior is necessary for a condensation of $\\rho$ mesons in a strong magnetic field.","authors_text":"E.V. Luschevskaya, O.V. Larina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-06-12T19:57:23Z","title":"Neutral $\\rho$ and $A$ mesons in magnetic field in SU(2) lattice gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2936","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":"sha256:377892834820fa261ed819a7d7cca9ea2bd11518b940508cb507c0ea35e2c3e2","target":"record","created_at":"2026-05-18T01:49:23Z","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":"13a835e1f49ef34dea01ad844abd7aa327511aa20317d939b4326d36d814c3ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-06-12T19:57:23Z","title_canon_sha256":"f93de8bde38ab16b58c87dd4e96746f2cedc60b1b66b33c03e27444f0ba69bd3"},"schema_version":"1.0","source":{"id":"1306.2936","kind":"arxiv","version":2}},"canonical_sha256":"053b65f8ba9f59db3033efcab8ee26143eeaf1739ba72dcaea80872fcca76c24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"053b65f8ba9f59db3033efcab8ee26143eeaf1739ba72dcaea80872fcca76c24","first_computed_at":"2026-05-18T01:49:23.067814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:23.067814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AcoRCJJ1mXFAQAc5dKqsQqXweYEgwngRsNtYcT4pEFyTmchpQwF7F/5NEZugbTvVnmk8TSHbMgA9V7rz7C2YAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:23.068356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.2936","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:377892834820fa261ed819a7d7cca9ea2bd11518b940508cb507c0ea35e2c3e2","sha256:537dc0fd7125e777f225cbf63431f8893742bdef0cb9200817a2d732ae3c95c0"],"state_sha256":"adfa00ae5889868729fb05aba86d65725be854223bca55410859b239374d7197"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WzwsiPSk5t/fJ8hon+S46q5OJbDTAmzI6z0iqe9vzXvztiUwDZEFg0f6k9qqKmnFU5a7mV4l+cPFXxlw26FDDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:23:45.233736Z","bundle_sha256":"4c49af6764c6aa976b2dd1766a25ece53640cdfcf83ff62786f76c04230da4d2"}}