{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:LX2CNMB7FEFYBRPLIQ63D6M6WS","short_pith_number":"pith:LX2CNMB7","canonical_record":{"source":{"id":"1101.1055","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-05T19:42:03Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"e58333962d07d97ca8a675c34b34435f0149615c29da83509dcef1794cef2bdc","abstract_canon_sha256":"21d942f4476310d594ebc619ecaee4a1506264e70163e03b542c1c4a3c99450a"},"schema_version":"1.0"},"canonical_sha256":"5df426b03f290b80c5eb443db1f99eb48e1bb204710320e9e171c80fe48505dc","source":{"kind":"arxiv","id":"1101.1055","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1055","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1055v3","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1055","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"pith_short_12","alias_value":"LX2CNMB7FEFY","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LX2CNMB7FEFYBRPL","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LX2CNMB7","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:LX2CNMB7FEFYBRPLIQ63D6M6WS","target":"record","payload":{"canonical_record":{"source":{"id":"1101.1055","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-05T19:42:03Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"e58333962d07d97ca8a675c34b34435f0149615c29da83509dcef1794cef2bdc","abstract_canon_sha256":"21d942f4476310d594ebc619ecaee4a1506264e70163e03b542c1c4a3c99450a"},"schema_version":"1.0"},"canonical_sha256":"5df426b03f290b80c5eb443db1f99eb48e1bb204710320e9e171c80fe48505dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:36.376481Z","signature_b64":"SjLJDAVOEWMRED6MMG6k8UP4s5EAcp+ABJEAZ3H+HOjRuQG6bQfwy8Q7p6htgP/DfCyuVqUa8YU05jv7t7d4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5df426b03f290b80c5eb443db1f99eb48e1bb204710320e9e171c80fe48505dc","last_reissued_at":"2026-05-18T04:09:36.375966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:36.375966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.1055","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:09:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KmrmKsVr2K5Qf5tJr6NPC4DfJxFARDUXOaxGgsG8N97wcRZ3sNMeZVK67OtvXHNxeCUwFMn54XDIF3Eye/XoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:43:44.759917Z"},"content_sha256":"e91b6ff05b517b014cd960a20e4e40f86fc85a9d95d4ec1859fe5ae634d1fe6a","schema_version":"1.0","event_id":"sha256:e91b6ff05b517b014cd960a20e4e40f86fc85a9d95d4ec1859fe5ae634d1fe6a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:LX2CNMB7FEFYBRPLIQ63D6M6WS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical Renormalization Group at marginal spectral density: application to quantum tunneling in Luttinger liquids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Axel Freyn, Serge Florens","submitted_at":"2011-01-05T19:42:03Z","abstract_excerpt":"Many quantum mechanical problems (such as dissipative phase fluctuations in metallic and superconducting nanocircuits, or impurity scattering in Luttinger liquids) involve a continuum of bosonic modes with a marginal spectral density diverging as the inverse of energy. We construct a Numerical Renormalization Group in this singular case, with a manageable violation of scale separation at high energy, capturing reliably the low energy physics. The method is demonstrated by a non-perturbative solution over several energy decades for the dynamical conductance of a Luttinger liquid with a single s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1055","kind":"arxiv","version":3},"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":"2026-05-18T04:09:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fYtFGtqfuk1OLSggq+W7wL7BLDZyX49cIhvKNVG/VUppO5+DRK6Vpp0Fa5s2uzvy7upDVQXg6quFYpOvvfT2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:43:44.760584Z"},"content_sha256":"dd74e97b90bb8df1491628a91548c0632eba88fed733ea0935606acba6d6c1ee","schema_version":"1.0","event_id":"sha256:dd74e97b90bb8df1491628a91548c0632eba88fed733ea0935606acba6d6c1ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LX2CNMB7FEFYBRPLIQ63D6M6WS/bundle.json","state_url":"https://pith.science/pith/LX2CNMB7FEFYBRPLIQ63D6M6WS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LX2CNMB7FEFYBRPLIQ63D6M6WS/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":"2026-05-28T17:43:44Z","links":{"resolver":"https://pith.science/pith/LX2CNMB7FEFYBRPLIQ63D6M6WS","bundle":"https://pith.science/pith/LX2CNMB7FEFYBRPLIQ63D6M6WS/bundle.json","state":"https://pith.science/pith/LX2CNMB7FEFYBRPLIQ63D6M6WS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LX2CNMB7FEFYBRPLIQ63D6M6WS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LX2CNMB7FEFYBRPLIQ63D6M6WS","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":"21d942f4476310d594ebc619ecaee4a1506264e70163e03b542c1c4a3c99450a","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-05T19:42:03Z","title_canon_sha256":"e58333962d07d97ca8a675c34b34435f0149615c29da83509dcef1794cef2bdc"},"schema_version":"1.0","source":{"id":"1101.1055","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1055","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1055v3","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1055","created_at":"2026-05-18T04:09:36Z"},{"alias_kind":"pith_short_12","alias_value":"LX2CNMB7FEFY","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LX2CNMB7FEFYBRPL","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LX2CNMB7","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:dd74e97b90bb8df1491628a91548c0632eba88fed733ea0935606acba6d6c1ee","target":"graph","created_at":"2026-05-18T04:09:36Z","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":"Many quantum mechanical problems (such as dissipative phase fluctuations in metallic and superconducting nanocircuits, or impurity scattering in Luttinger liquids) involve a continuum of bosonic modes with a marginal spectral density diverging as the inverse of energy. We construct a Numerical Renormalization Group in this singular case, with a manageable violation of scale separation at high energy, capturing reliably the low energy physics. The method is demonstrated by a non-perturbative solution over several energy decades for the dynamical conductance of a Luttinger liquid with a single s","authors_text":"Axel Freyn, Serge Florens","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-05T19:42:03Z","title":"Numerical Renormalization Group at marginal spectral density: application to quantum tunneling in Luttinger liquids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1055","kind":"arxiv","version":3},"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:e91b6ff05b517b014cd960a20e4e40f86fc85a9d95d4ec1859fe5ae634d1fe6a","target":"record","created_at":"2026-05-18T04:09:36Z","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":"21d942f4476310d594ebc619ecaee4a1506264e70163e03b542c1c4a3c99450a","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-05T19:42:03Z","title_canon_sha256":"e58333962d07d97ca8a675c34b34435f0149615c29da83509dcef1794cef2bdc"},"schema_version":"1.0","source":{"id":"1101.1055","kind":"arxiv","version":3}},"canonical_sha256":"5df426b03f290b80c5eb443db1f99eb48e1bb204710320e9e171c80fe48505dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5df426b03f290b80c5eb443db1f99eb48e1bb204710320e9e171c80fe48505dc","first_computed_at":"2026-05-18T04:09:36.375966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:36.375966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SjLJDAVOEWMRED6MMG6k8UP4s5EAcp+ABJEAZ3H+HOjRuQG6bQfwy8Q7p6htgP/DfCyuVqUa8YU05jv7t7d4Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:36.376481Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1055","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e91b6ff05b517b014cd960a20e4e40f86fc85a9d95d4ec1859fe5ae634d1fe6a","sha256:dd74e97b90bb8df1491628a91548c0632eba88fed733ea0935606acba6d6c1ee"],"state_sha256":"6ca3b728950ff59704903a217d717c3f1257e49b7ceb8287b3f71c4b78e94646"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ySYINlALfGbcCRVWb9rU5PTivEv0CV2/wZdIwx1qmJcF6cq/jcv0PSqMpYdAeo15LHSaknrnwdTBRlsq5aS0CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:43:44.764065Z","bundle_sha256":"19fe90ce0e13ad7db76aeb14d889d4f75e5ff41d20ec1a4d1c400af565f2484c"}}