{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YPA52IUFYBO2FQF226DZ3GHVTR","short_pith_number":"pith:YPA52IUF","canonical_record":{"source":{"id":"1408.5364","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-22T17:03:10Z","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con"],"title_canon_sha256":"d442c6744bc95cd8471c0e3b0f6bb899bf905ba766e03765a4ac5d1f4d469159","abstract_canon_sha256":"9e1c3e86a69cb267d2a34c8aba087b2d3d5f8e234a580cec5b40893c441fc035"},"schema_version":"1.0"},"canonical_sha256":"c3c1dd2285c05da2c0bad7879d98f59c5122af42ea6449646c7cd0cdbbc350dd","source":{"kind":"arxiv","id":"1408.5364","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5364","created_at":"2026-05-18T02:42:38Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5364v2","created_at":"2026-05-18T02:42:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5364","created_at":"2026-05-18T02:42:38Z"},{"alias_kind":"pith_short_12","alias_value":"YPA52IUFYBO2","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YPA52IUFYBO2FQF2","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YPA52IUF","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YPA52IUFYBO2FQF226DZ3GHVTR","target":"record","payload":{"canonical_record":{"source":{"id":"1408.5364","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-22T17:03:10Z","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con"],"title_canon_sha256":"d442c6744bc95cd8471c0e3b0f6bb899bf905ba766e03765a4ac5d1f4d469159","abstract_canon_sha256":"9e1c3e86a69cb267d2a34c8aba087b2d3d5f8e234a580cec5b40893c441fc035"},"schema_version":"1.0"},"canonical_sha256":"c3c1dd2285c05da2c0bad7879d98f59c5122af42ea6449646c7cd0cdbbc350dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:38.868690Z","signature_b64":"mJgR8//MDeeaU7w9CcM6Wcr4QCIkTOCRB7ESC44ZwD+Ar+5UfNNPZLmwfumvS1QwKWxWbG54fUslW1OLHFCQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3c1dd2285c05da2c0bad7879d98f59c5122af42ea6449646c7cd0cdbbc350dd","last_reissued_at":"2026-05-18T02:42:38.868104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:38.868104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.5364","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":"2026-05-18T02:42:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VBPIA+B2f+u1S5BeetlkMZuV8CZI4oCErMB0vXegglnop0XCLSCsWaDP2SgAWoZ9mrAZsCKTSMbPIySBXCQmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:00:29.710405Z"},"content_sha256":"2df7f66c4bb1d07ec96bf023ccfa5b38a930d34a1d9e93e56ffbae2bcbabebbb","schema_version":"1.0","event_id":"sha256:2df7f66c4bb1d07ec96bf023ccfa5b38a930d34a1d9e93e56ffbae2bcbabebbb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YPA52IUFYBO2FQF226DZ3GHVTR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","cond-mat.supr-con"],"primary_cat":"hep-ph","authors_text":"Gaoqing Cao, Lianyi He, Pengfei Zhuang","submitted_at":"2014-08-22T17:03:10Z","abstract_excerpt":"It is known that a constant magnetic field is a strong catalyst of dynamical chiral symmetry breaking in 2+1 dimensions, leading to generating dynamical fermion mass even at weakest attraction. In this work we investigate the collective modes associated with the dynamical chiral symmetry breaking in a constant magnetic field in the (2+1)-dimensional Nambu--Jona-Lasinio model with continuous U(1) chiral symmetry. We introduce a self-consistent scheme to evaluate the propagators of the collective modes at the leading order in 1/N. The contributions from the vacuum and from the magnetic field are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5364","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":"2026-05-18T02:42:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lbGnhRH4Olx/jp2DD3IQaz8p+RrJG1OTp53UpakYiB+uaA6/iKN/WsrgVuNlMMj1jOIEfKFrlhfzVSSIJHz8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:00:29.711011Z"},"content_sha256":"d56808f4a2c1f78ada6bfb318e9f6ec26b569663f5bae3a0e0bcaa9a97186f5f","schema_version":"1.0","event_id":"sha256:d56808f4a2c1f78ada6bfb318e9f6ec26b569663f5bae3a0e0bcaa9a97186f5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YPA52IUFYBO2FQF226DZ3GHVTR/bundle.json","state_url":"https://pith.science/pith/YPA52IUFYBO2FQF226DZ3GHVTR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YPA52IUFYBO2FQF226DZ3GHVTR/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":"2026-05-29T15:00:29Z","links":{"resolver":"https://pith.science/pith/YPA52IUFYBO2FQF226DZ3GHVTR","bundle":"https://pith.science/pith/YPA52IUFYBO2FQF226DZ3GHVTR/bundle.json","state":"https://pith.science/pith/YPA52IUFYBO2FQF226DZ3GHVTR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YPA52IUFYBO2FQF226DZ3GHVTR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YPA52IUFYBO2FQF226DZ3GHVTR","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":"9e1c3e86a69cb267d2a34c8aba087b2d3d5f8e234a580cec5b40893c441fc035","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-22T17:03:10Z","title_canon_sha256":"d442c6744bc95cd8471c0e3b0f6bb899bf905ba766e03765a4ac5d1f4d469159"},"schema_version":"1.0","source":{"id":"1408.5364","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5364","created_at":"2026-05-18T02:42:38Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5364v2","created_at":"2026-05-18T02:42:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5364","created_at":"2026-05-18T02:42:38Z"},{"alias_kind":"pith_short_12","alias_value":"YPA52IUFYBO2","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YPA52IUFYBO2FQF2","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YPA52IUF","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:d56808f4a2c1f78ada6bfb318e9f6ec26b569663f5bae3a0e0bcaa9a97186f5f","target":"graph","created_at":"2026-05-18T02:42:38Z","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":"It is known that a constant magnetic field is a strong catalyst of dynamical chiral symmetry breaking in 2+1 dimensions, leading to generating dynamical fermion mass even at weakest attraction. In this work we investigate the collective modes associated with the dynamical chiral symmetry breaking in a constant magnetic field in the (2+1)-dimensional Nambu--Jona-Lasinio model with continuous U(1) chiral symmetry. We introduce a self-consistent scheme to evaluate the propagators of the collective modes at the leading order in 1/N. The contributions from the vacuum and from the magnetic field are","authors_text":"Gaoqing Cao, Lianyi He, Pengfei Zhuang","cross_cats":["cond-mat.str-el","cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-22T17:03:10Z","title":"Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5364","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":"sha256:2df7f66c4bb1d07ec96bf023ccfa5b38a930d34a1d9e93e56ffbae2bcbabebbb","target":"record","created_at":"2026-05-18T02:42:38Z","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":"9e1c3e86a69cb267d2a34c8aba087b2d3d5f8e234a580cec5b40893c441fc035","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-22T17:03:10Z","title_canon_sha256":"d442c6744bc95cd8471c0e3b0f6bb899bf905ba766e03765a4ac5d1f4d469159"},"schema_version":"1.0","source":{"id":"1408.5364","kind":"arxiv","version":2}},"canonical_sha256":"c3c1dd2285c05da2c0bad7879d98f59c5122af42ea6449646c7cd0cdbbc350dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3c1dd2285c05da2c0bad7879d98f59c5122af42ea6449646c7cd0cdbbc350dd","first_computed_at":"2026-05-18T02:42:38.868104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:38.868104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mJgR8//MDeeaU7w9CcM6Wcr4QCIkTOCRB7ESC44ZwD+Ar+5UfNNPZLmwfumvS1QwKWxWbG54fUslW1OLHFCQDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:38.868690Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.5364","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2df7f66c4bb1d07ec96bf023ccfa5b38a930d34a1d9e93e56ffbae2bcbabebbb","sha256:d56808f4a2c1f78ada6bfb318e9f6ec26b569663f5bae3a0e0bcaa9a97186f5f"],"state_sha256":"2fe1e6d7edc4e7a179bc9a7c9fa24661c200ef6f8592d4610f51f09b72c2c104"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iywruS8b0cICBZlO+3Hn6M9yHPEg+Emd+MsT2+ZYktkKHb0/bvl5cya/xkrfBnHN+8vh8Uu9O6eFxAmA6RohAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T15:00:29.714051Z","bundle_sha256":"97d7cf998d527611af321734750149b94c8769a89c85969d84bd3f14fe4cd7ef"}}