{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:EEVAFRWEOBXDMV3NKCZ4LPCU3U","short_pith_number":"pith:EEVAFRWE","canonical_record":{"source":{"id":"cond-mat/0306159","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-06-06T07:35:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ecbcecb28601b8657b8ad4594966ed954d76c40b5048e6c005c557f5357c83b0","abstract_canon_sha256":"2ab4422300dd00ab15eee125958ad95f64a1053fd570d123fa91f4958671f41f"},"schema_version":"1.0"},"canonical_sha256":"212a02c6c4706e36576d50b3c5bc54dd363324051e89841ff66e18d5ce83c432","source":{"kind":"arxiv","id":"cond-mat/0306159","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0306159","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0306159v3","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0306159","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"pith_short_12","alias_value":"EEVAFRWEOBXD","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"pith_short_16","alias_value":"EEVAFRWEOBXDMV3N","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"pith_short_8","alias_value":"EEVAFRWE","created_at":"2026-07-04T15:36:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:EEVAFRWEOBXDMV3NKCZ4LPCU3U","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0306159","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-06-06T07:35:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ecbcecb28601b8657b8ad4594966ed954d76c40b5048e6c005c557f5357c83b0","abstract_canon_sha256":"2ab4422300dd00ab15eee125958ad95f64a1053fd570d123fa91f4958671f41f"},"schema_version":"1.0"},"canonical_sha256":"212a02c6c4706e36576d50b3c5bc54dd363324051e89841ff66e18d5ce83c432","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:36:51.240631Z","signature_b64":"ebXoLGd2VYhBMLRcUlMNjMeG8t4wAPCIV23YP5YC3GscbDbbut0CQQt1kqXlEyafrxZzutsgRnmDf8Zvj1vtCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"212a02c6c4706e36576d50b3c5bc54dd363324051e89841ff66e18d5ce83c432","last_reissued_at":"2026-07-04T15:36:51.240208Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:36:51.240208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0306159","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":"2026-07-04T15:36:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IYFuHHRMjQaMy+NTXUQq2diWWojcVyUoG1F/pESp+GeoZTpqMwtgswVCOy8Q0yvjxsj8DME/NcXv/vGsrtBHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:19:52.947363Z"},"content_sha256":"d5412c64ebda306478c43ab6a3ab06c48cddaf52530ae71fa8766d2134c4e715","schema_version":"1.0","event_id":"sha256:d5412c64ebda306478c43ab6a3ab06c48cddaf52530ae71fa8766d2134c4e715"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:EEVAFRWEOBXDMV3NKCZ4LPCU3U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Potential Flow of Renormalization Group in Quasi-One-Dimensional Systems","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Chung-Yu Mou, Darwin Chang, Hsiu-Hau Lin, Ming-Shyang Chang, Wei Chen","submitted_at":"2003-06-06T07:35:03Z","abstract_excerpt":"We address the issue why the phase diagrams for quasi-one-dimensional systems are rather simple, while the renormalization group equations behind the scene are non-linear and messy looking. The puzzle is answered in two steps -- we first demonstrate that the complicated coupled flow equations are simply described by a potential $V(h_i)$, in an appropriate basis for the interaction couplings $h_i$. The renormalization-group potential is explicitly constructed by introducing the Majorana fermion representation. The existence of the potential prevents chaotic behaviors and other exotic possibilit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0306159","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0306159/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:36:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Onq5IOXdMLjbVfPErJ5nOqkckqn+4LZOyfTkyglpVjSMbeTriJmP8Qllxh8W/oIkXYnqZUPtUpPK0UQ99L4/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:19:52.947840Z"},"content_sha256":"410dad91aad93db91a0c56515d2a177d04a5d557d644789adbe0a39b4147bc81","schema_version":"1.0","event_id":"sha256:410dad91aad93db91a0c56515d2a177d04a5d557d644789adbe0a39b4147bc81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EEVAFRWEOBXDMV3NKCZ4LPCU3U/bundle.json","state_url":"https://pith.science/pith/EEVAFRWEOBXDMV3NKCZ4LPCU3U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EEVAFRWEOBXDMV3NKCZ4LPCU3U/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":"2026-08-07T09:19:52Z","links":{"resolver":"https://pith.science/pith/EEVAFRWEOBXDMV3NKCZ4LPCU3U","bundle":"https://pith.science/pith/EEVAFRWEOBXDMV3NKCZ4LPCU3U/bundle.json","state":"https://pith.science/pith/EEVAFRWEOBXDMV3NKCZ4LPCU3U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EEVAFRWEOBXDMV3NKCZ4LPCU3U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:EEVAFRWEOBXDMV3NKCZ4LPCU3U","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":"2ab4422300dd00ab15eee125958ad95f64a1053fd570d123fa91f4958671f41f","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-06-06T07:35:03Z","title_canon_sha256":"ecbcecb28601b8657b8ad4594966ed954d76c40b5048e6c005c557f5357c83b0"},"schema_version":"1.0","source":{"id":"cond-mat/0306159","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0306159","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0306159v3","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0306159","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"pith_short_12","alias_value":"EEVAFRWEOBXD","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"pith_short_16","alias_value":"EEVAFRWEOBXDMV3N","created_at":"2026-07-04T15:36:51Z"},{"alias_kind":"pith_short_8","alias_value":"EEVAFRWE","created_at":"2026-07-04T15:36:51Z"}],"graph_snapshots":[{"event_id":"sha256:410dad91aad93db91a0c56515d2a177d04a5d557d644789adbe0a39b4147bc81","target":"graph","created_at":"2026-07-04T15:36:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0306159/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We address the issue why the phase diagrams for quasi-one-dimensional systems are rather simple, while the renormalization group equations behind the scene are non-linear and messy looking. The puzzle is answered in two steps -- we first demonstrate that the complicated coupled flow equations are simply described by a potential $V(h_i)$, in an appropriate basis for the interaction couplings $h_i$. The renormalization-group potential is explicitly constructed by introducing the Majorana fermion representation. The existence of the potential prevents chaotic behaviors and other exotic possibilit","authors_text":"Chung-Yu Mou, Darwin Chang, Hsiu-Hau Lin, Ming-Shyang Chang, Wei Chen","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-06-06T07:35:03Z","title":"Potential Flow of Renormalization Group in Quasi-One-Dimensional Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0306159","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:d5412c64ebda306478c43ab6a3ab06c48cddaf52530ae71fa8766d2134c4e715","target":"record","created_at":"2026-07-04T15:36:51Z","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":"2ab4422300dd00ab15eee125958ad95f64a1053fd570d123fa91f4958671f41f","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-06-06T07:35:03Z","title_canon_sha256":"ecbcecb28601b8657b8ad4594966ed954d76c40b5048e6c005c557f5357c83b0"},"schema_version":"1.0","source":{"id":"cond-mat/0306159","kind":"arxiv","version":3}},"canonical_sha256":"212a02c6c4706e36576d50b3c5bc54dd363324051e89841ff66e18d5ce83c432","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"212a02c6c4706e36576d50b3c5bc54dd363324051e89841ff66e18d5ce83c432","first_computed_at":"2026-07-04T15:36:51.240208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:36:51.240208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ebXoLGd2VYhBMLRcUlMNjMeG8t4wAPCIV23YP5YC3GscbDbbut0CQQt1kqXlEyafrxZzutsgRnmDf8Zvj1vtCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:36:51.240631Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0306159","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5412c64ebda306478c43ab6a3ab06c48cddaf52530ae71fa8766d2134c4e715","sha256:410dad91aad93db91a0c56515d2a177d04a5d557d644789adbe0a39b4147bc81"],"state_sha256":"9d725fa76ebe18694aa896f30c2d24ec918e3def14a8f5a235dd5722b091e24c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OyNbTsO692+VI5YDuT8sjt+vmQb+5vH4uiwQqgLWqm60g2RyWSRroiEBpZVSoPRInmeixB6mvecvR8agCHtlBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T09:19:52.951851Z","bundle_sha256":"ee6c3a71e0436493d7d7f57f133ae897c3f2b1b343e91ac968961db4d20f6b02"}}