{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:NCRCR2XAQ6UFNEYCGKN4XG2R2E","short_pith_number":"pith:NCRCR2XA","canonical_record":{"source":{"id":"0911.1251","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-11-06T20:25:08Z","cross_cats_sorted":[],"title_canon_sha256":"06331e51b7ba03b97e31c08d22ca0eb33156764a42549dd1257d864b1b511add","abstract_canon_sha256":"4a0fd9537d0039209f282748f48ec8906329492d76a1053aec06444c28e72738"},"schema_version":"1.0"},"canonical_sha256":"68a228eae087a8569302329bcb9b51d10690c48c9aa93734f1025c7289625778","source":{"kind":"arxiv","id":"0911.1251","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1251","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1251v2","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1251","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"NCRCR2XAQ6UF","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"NCRCR2XAQ6UFNEYC","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"NCRCR2XA","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:NCRCR2XAQ6UFNEYCGKN4XG2R2E","target":"record","payload":{"canonical_record":{"source":{"id":"0911.1251","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-11-06T20:25:08Z","cross_cats_sorted":[],"title_canon_sha256":"06331e51b7ba03b97e31c08d22ca0eb33156764a42549dd1257d864b1b511add","abstract_canon_sha256":"4a0fd9537d0039209f282748f48ec8906329492d76a1053aec06444c28e72738"},"schema_version":"1.0"},"canonical_sha256":"68a228eae087a8569302329bcb9b51d10690c48c9aa93734f1025c7289625778","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:58.820904Z","signature_b64":"XZ8eNvBXGQN8hf8VZ4w6z62fRAOahphUMQoiGDsIKVYwIjiXSqhpHlQVbzBTtJcGDYDt1No1l8Nwoe5kMuWiAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68a228eae087a8569302329bcb9b51d10690c48c9aa93734f1025c7289625778","last_reissued_at":"2026-05-18T02:10:58.819880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:58.819880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.1251","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":"2026-05-18T02:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WrX1VnrlgXHjYywrTEnNxJU5bX7H7xeQHWXt3wteV3Os9LbWKIuJ0RNRiWJb3dlaHLMwCsfEda66DWcmh0FCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:35:30.180109Z"},"content_sha256":"82b88fa8b32022959e27b414abf75a86eccd87c4ed93b80ea514a5f27bb6b59e","schema_version":"1.0","event_id":"sha256:82b88fa8b32022959e27b414abf75a86eccd87c4ed93b80ea514a5f27bb6b59e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:NCRCR2XAQ6UFNEYCGKN4XG2R2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermi liquid near Pomeranchuk quantum criticality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andrey V. Chubukov, Dmitrii L. Maslov","submitted_at":"2009-11-06T20:25:08Z","abstract_excerpt":"We analyze the behavior of an itinerant Fermi system near a charge nematic(n=2) Pomeranchuk instability in terms of the Landau Fermi liquid (FL) theory. The main object of our study is the fully renormalized vertex function $\\Gamma\\Omega$, related to the Landau interaction function. We derive $\\Gamma^\\Omega$ for a model case of the long-range interaction in the nematic channel. Already within the Random Phase Approximation (RPA), the vertex is singular near the instability. The full vertex, obtained by resumming the ladder series composed of the RPA vertices, differs from the RPA result by a m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1251","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":"2026-05-18T02:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kNhvL/BUrXKaQFS0SATVAck/cGB+A2BuWDJmWBKJWSTj+PUWtQZ3m1ZVr/D1cNMblk6vbIXXMsGFM2/nOHjvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:35:30.180846Z"},"content_sha256":"8f1ebeb06d65fd3548d117f36cabf04b84ff7c668017c9de63fa80f55daaafa1","schema_version":"1.0","event_id":"sha256:8f1ebeb06d65fd3548d117f36cabf04b84ff7c668017c9de63fa80f55daaafa1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCRCR2XAQ6UFNEYCGKN4XG2R2E/bundle.json","state_url":"https://pith.science/pith/NCRCR2XAQ6UFNEYCGKN4XG2R2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCRCR2XAQ6UFNEYCGKN4XG2R2E/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":"2026-08-05T14:35:30Z","links":{"resolver":"https://pith.science/pith/NCRCR2XAQ6UFNEYCGKN4XG2R2E","bundle":"https://pith.science/pith/NCRCR2XAQ6UFNEYCGKN4XG2R2E/bundle.json","state":"https://pith.science/pith/NCRCR2XAQ6UFNEYCGKN4XG2R2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCRCR2XAQ6UFNEYCGKN4XG2R2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:NCRCR2XAQ6UFNEYCGKN4XG2R2E","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":"4a0fd9537d0039209f282748f48ec8906329492d76a1053aec06444c28e72738","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-11-06T20:25:08Z","title_canon_sha256":"06331e51b7ba03b97e31c08d22ca0eb33156764a42549dd1257d864b1b511add"},"schema_version":"1.0","source":{"id":"0911.1251","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1251","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1251v2","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1251","created_at":"2026-05-18T02:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"NCRCR2XAQ6UF","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"NCRCR2XAQ6UFNEYC","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"NCRCR2XA","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:8f1ebeb06d65fd3548d117f36cabf04b84ff7c668017c9de63fa80f55daaafa1","target":"graph","created_at":"2026-05-18T02:10:58Z","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 analyze the behavior of an itinerant Fermi system near a charge nematic(n=2) Pomeranchuk instability in terms of the Landau Fermi liquid (FL) theory. The main object of our study is the fully renormalized vertex function $\\Gamma\\Omega$, related to the Landau interaction function. We derive $\\Gamma^\\Omega$ for a model case of the long-range interaction in the nematic channel. Already within the Random Phase Approximation (RPA), the vertex is singular near the instability. The full vertex, obtained by resumming the ladder series composed of the RPA vertices, differs from the RPA result by a m","authors_text":"Andrey V. Chubukov, Dmitrii L. Maslov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-11-06T20:25:08Z","title":"Fermi liquid near Pomeranchuk quantum criticality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1251","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":"sha256:82b88fa8b32022959e27b414abf75a86eccd87c4ed93b80ea514a5f27bb6b59e","target":"record","created_at":"2026-05-18T02:10:58Z","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":"4a0fd9537d0039209f282748f48ec8906329492d76a1053aec06444c28e72738","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-11-06T20:25:08Z","title_canon_sha256":"06331e51b7ba03b97e31c08d22ca0eb33156764a42549dd1257d864b1b511add"},"schema_version":"1.0","source":{"id":"0911.1251","kind":"arxiv","version":2}},"canonical_sha256":"68a228eae087a8569302329bcb9b51d10690c48c9aa93734f1025c7289625778","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68a228eae087a8569302329bcb9b51d10690c48c9aa93734f1025c7289625778","first_computed_at":"2026-05-18T02:10:58.819880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:58.819880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XZ8eNvBXGQN8hf8VZ4w6z62fRAOahphUMQoiGDsIKVYwIjiXSqhpHlQVbzBTtJcGDYDt1No1l8Nwoe5kMuWiAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:58.820904Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.1251","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82b88fa8b32022959e27b414abf75a86eccd87c4ed93b80ea514a5f27bb6b59e","sha256:8f1ebeb06d65fd3548d117f36cabf04b84ff7c668017c9de63fa80f55daaafa1"],"state_sha256":"f0cd441e3d2deeab03e90d169e399f04d8e3c0c3c419695da979b3bc037a35d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f+pjCktkAOlCGI3RJKSyHOv72C/rY4D7Bf8WydNoiSI+xb9SFIpF5iFyPwO4HvdBSVk45Jtps6cKLjH+bKtwAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T14:35:30.187185Z","bundle_sha256":"2493e9596129a988fa5fcc781a4104c2c341ac26bd4b9c75af19be4458980928"}}