{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:P477CAIPKAIVX7SSEDWKV4Y43N","short_pith_number":"pith:P477CAIP","canonical_record":{"source":{"id":"1108.1929","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-08-09T13:59:30Z","cross_cats_sorted":[],"title_canon_sha256":"2ae7cacae34970a9ff3baabdb0ae278ca0ba78657434b4f6e328e99e5eede541","abstract_canon_sha256":"3621f437ba20a87a343142a27d1b400d211c0b98d1750814f1757b62946b3c74"},"schema_version":"1.0"},"canonical_sha256":"7f3ff1010f50115bfe5220ecaaf31cdb6bf5540aa170e5b9df18779078bc278f","source":{"kind":"arxiv","id":"1108.1929","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1929","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1929v2","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1929","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"P477CAIPKAIV","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P477CAIPKAIVX7SS","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P477CAIP","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:P477CAIPKAIVX7SSEDWKV4Y43N","target":"record","payload":{"canonical_record":{"source":{"id":"1108.1929","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-08-09T13:59:30Z","cross_cats_sorted":[],"title_canon_sha256":"2ae7cacae34970a9ff3baabdb0ae278ca0ba78657434b4f6e328e99e5eede541","abstract_canon_sha256":"3621f437ba20a87a343142a27d1b400d211c0b98d1750814f1757b62946b3c74"},"schema_version":"1.0"},"canonical_sha256":"7f3ff1010f50115bfe5220ecaaf31cdb6bf5540aa170e5b9df18779078bc278f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:59.855233Z","signature_b64":"PmsPhQhEi+jJ5t+8AphlXKPEcH0DQMP4NifBPFSwNNN9PrMBiT3UAefZLKrLAG5aw9HpQuaWIcflY1KFDhA0CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f3ff1010f50115bfe5220ecaaf31cdb6bf5540aa170e5b9df18779078bc278f","last_reissued_at":"2026-05-18T02:00:59.854491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:59.854491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.1929","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":"2026-05-18T02:00:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"icBq2XH9HjuDAnm30GTQ6p4Ts4KjihZLs9N0uiOFk5F0mmwyRALOrjDCCEnu9Qe4qFe/5HyNpswjkIOiXBAbBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:03:47.844247Z"},"content_sha256":"1dc8f87b2ed373d60d01519b75930f7b809ef89d7a3ce47cbef6d7dcb2338a7f","schema_version":"1.0","event_id":"sha256:1dc8f87b2ed373d60d01519b75930f7b809ef89d7a3ce47cbef6d7dcb2338a7f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:P477CAIPKAIVX7SSEDWKV4Y43N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Singular order parameter interaction at nematic quantum critical point in two dimensional electron systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Stephan Thier, Walter Metzner","submitted_at":"2011-08-09T13:59:30Z","abstract_excerpt":"We analyze the infrared behavior of effective N-point interactions between order parameter fluctuations for nematic and other quantum critical electron systems with a scalar order parameter in two dimensions. The interactions exhibit a singular momentum and energy dependence and thus cannot be represented by local vertices. They diverge for all N greater or equal 4 in a collinear static limit, where energy variables scale to zero faster than momenta, and momenta become increasingly collinear. The degree of divergence is not reduced by any cancellations and renders all N-point interactions marg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1929","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":"2026-05-18T02:00:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c9RvfdUn9Y8z1/IX4S/mZH5LYJlbkIxuxEjF1uCTv/WHGVi7cn+7g2vbsCPGjCqGTwdN1digWXXSSWZCGbBRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:03:47.844626Z"},"content_sha256":"e043a550d4b44b86d94f214e78542d425e413776705f7c6593f709503fc3b6d9","schema_version":"1.0","event_id":"sha256:e043a550d4b44b86d94f214e78542d425e413776705f7c6593f709503fc3b6d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P477CAIPKAIVX7SSEDWKV4Y43N/bundle.json","state_url":"https://pith.science/pith/P477CAIPKAIVX7SSEDWKV4Y43N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P477CAIPKAIVX7SSEDWKV4Y43N/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":"2026-06-02T02:03:47Z","links":{"resolver":"https://pith.science/pith/P477CAIPKAIVX7SSEDWKV4Y43N","bundle":"https://pith.science/pith/P477CAIPKAIVX7SSEDWKV4Y43N/bundle.json","state":"https://pith.science/pith/P477CAIPKAIVX7SSEDWKV4Y43N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P477CAIPKAIVX7SSEDWKV4Y43N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:P477CAIPKAIVX7SSEDWKV4Y43N","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":"3621f437ba20a87a343142a27d1b400d211c0b98d1750814f1757b62946b3c74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-08-09T13:59:30Z","title_canon_sha256":"2ae7cacae34970a9ff3baabdb0ae278ca0ba78657434b4f6e328e99e5eede541"},"schema_version":"1.0","source":{"id":"1108.1929","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1929","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1929v2","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1929","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"P477CAIPKAIV","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P477CAIPKAIVX7SS","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P477CAIP","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:e043a550d4b44b86d94f214e78542d425e413776705f7c6593f709503fc3b6d9","target":"graph","created_at":"2026-05-18T02:00:59Z","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 infrared behavior of effective N-point interactions between order parameter fluctuations for nematic and other quantum critical electron systems with a scalar order parameter in two dimensions. The interactions exhibit a singular momentum and energy dependence and thus cannot be represented by local vertices. They diverge for all N greater or equal 4 in a collinear static limit, where energy variables scale to zero faster than momenta, and momenta become increasingly collinear. The degree of divergence is not reduced by any cancellations and renders all N-point interactions marg","authors_text":"Stephan Thier, Walter Metzner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-08-09T13:59:30Z","title":"Singular order parameter interaction at nematic quantum critical point in two dimensional electron systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1929","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":"sha256:1dc8f87b2ed373d60d01519b75930f7b809ef89d7a3ce47cbef6d7dcb2338a7f","target":"record","created_at":"2026-05-18T02:00:59Z","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":"3621f437ba20a87a343142a27d1b400d211c0b98d1750814f1757b62946b3c74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-08-09T13:59:30Z","title_canon_sha256":"2ae7cacae34970a9ff3baabdb0ae278ca0ba78657434b4f6e328e99e5eede541"},"schema_version":"1.0","source":{"id":"1108.1929","kind":"arxiv","version":2}},"canonical_sha256":"7f3ff1010f50115bfe5220ecaaf31cdb6bf5540aa170e5b9df18779078bc278f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f3ff1010f50115bfe5220ecaaf31cdb6bf5540aa170e5b9df18779078bc278f","first_computed_at":"2026-05-18T02:00:59.854491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:59.854491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PmsPhQhEi+jJ5t+8AphlXKPEcH0DQMP4NifBPFSwNNN9PrMBiT3UAefZLKrLAG5aw9HpQuaWIcflY1KFDhA0CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:59.855233Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.1929","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dc8f87b2ed373d60d01519b75930f7b809ef89d7a3ce47cbef6d7dcb2338a7f","sha256:e043a550d4b44b86d94f214e78542d425e413776705f7c6593f709503fc3b6d9"],"state_sha256":"a76c9985ef489252bf27ca02ddd82c97eeb94d724429a185eada49c95a7f66e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNjtjlcMnCa51cO+Qs6wem4DkejKW2gm/bemKD1xGxJIaLDKm2gn/JJsGPyrzP+jeGWh3v3hYkk5iumFyzkBCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:03:47.846623Z","bundle_sha256":"1b89cd82243a7450fd5c4c524259307c1ab5252af18ef7171fc3d87e77f0e45f"}}