{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:UPNEYEW7UJSOY3PX4DZZF5HECZ","short_pith_number":"pith:UPNEYEW7","canonical_record":{"source":{"id":"hep-th/0006016","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-06-02T09:46:20Z","cross_cats_sorted":[],"title_canon_sha256":"888a10a47c4e5af09112884ad537f3741f3cc7348a69f2596bbcb6c9a116bb03","abstract_canon_sha256":"b69a036803d1ccf3856752b8d7c806989bd3b70134b9f94178300be3eda86cd6"},"schema_version":"1.0"},"canonical_sha256":"a3da4c12dfa264ec6df7e0f392f4e416677fe221c42eabffe3c9732552302af7","source":{"kind":"arxiv","id":"hep-th/0006016","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0006016","created_at":"2026-05-18T01:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0006016v3","created_at":"2026-05-18T01:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0006016","created_at":"2026-05-18T01:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"UPNEYEW7UJSO","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"UPNEYEW7UJSOY3PX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"UPNEYEW7","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:UPNEYEW7UJSOY3PX4DZZF5HECZ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0006016","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-06-02T09:46:20Z","cross_cats_sorted":[],"title_canon_sha256":"888a10a47c4e5af09112884ad537f3741f3cc7348a69f2596bbcb6c9a116bb03","abstract_canon_sha256":"b69a036803d1ccf3856752b8d7c806989bd3b70134b9f94178300be3eda86cd6"},"schema_version":"1.0"},"canonical_sha256":"a3da4c12dfa264ec6df7e0f392f4e416677fe221c42eabffe3c9732552302af7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:00.275842Z","signature_b64":"FChJF27l3TeFfdEU5ZVyVCM9eIVVd9jgfnVvnlC/64S+zQl9u+ZKk60gpvdPmwrlKzpXCj+W0JBuLNJqPKE9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3da4c12dfa264ec6df7e0f392f4e416677fe221c42eabffe3c9732552302af7","last_reissued_at":"2026-05-18T01:06:00.275427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:00.275427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0006016","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":"2026-05-18T01:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q3YtLodjXygji2C/e0HwBOq4tm0nwWxiV2vYc2A5njIU7VTJKGDpatjMAsY+nmFnndPEaT9KEBy+c1zksfRkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T10:58:49.195198Z"},"content_sha256":"68108d49a0b38831725710d4467893959067d523d2e2434d727243e75bf7c11a","schema_version":"1.0","event_id":"sha256:68108d49a0b38831725710d4467893959067d523d2e2434d727243e75bf7c11a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:UPNEYEW7UJSOY3PX4DZZF5HECZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Running Gauge Coupling Constant in the Exact Renormalization Group","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jun-Ichi Sumi","submitted_at":"2000-06-02T09:46:20Z","abstract_excerpt":"In this paper, we investigate the beta-function of the gauge coupling constant ($e$) of the gauged four-fermi theory in the Exact Renormalization Group (ERG) framework. It seems that the presence of the four-fermi interaction strongly affects to the naive RG running of the gauge coupling constant. We show that this strong correction has no physical meaning since the vertex $\\app A\\SR\\psi$ involves the contribution from a mixing as well as a pure gauge interaction due to the (anomalous) mixing among the photon and the vector composite field. By introducing the auxiliary field for the vector com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0006016","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":"2026-05-18T01:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T2UxAxRiSuTX77fO+FV9c0vaxFptBonSVYq2832A/gBYbf+BtKa14VnT0kHiRaWw6Y+8VuCAAaal11V33SEyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T10:58:49.195555Z"},"content_sha256":"e735274869da6dbef010d65ce55317668749bcc2405af5baa2599ed446df5719","schema_version":"1.0","event_id":"sha256:e735274869da6dbef010d65ce55317668749bcc2405af5baa2599ed446df5719"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPNEYEW7UJSOY3PX4DZZF5HECZ/bundle.json","state_url":"https://pith.science/pith/UPNEYEW7UJSOY3PX4DZZF5HECZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPNEYEW7UJSOY3PX4DZZF5HECZ/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":"2026-06-24T10:58:49Z","links":{"resolver":"https://pith.science/pith/UPNEYEW7UJSOY3PX4DZZF5HECZ","bundle":"https://pith.science/pith/UPNEYEW7UJSOY3PX4DZZF5HECZ/bundle.json","state":"https://pith.science/pith/UPNEYEW7UJSOY3PX4DZZF5HECZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPNEYEW7UJSOY3PX4DZZF5HECZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:UPNEYEW7UJSOY3PX4DZZF5HECZ","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":"b69a036803d1ccf3856752b8d7c806989bd3b70134b9f94178300be3eda86cd6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-06-02T09:46:20Z","title_canon_sha256":"888a10a47c4e5af09112884ad537f3741f3cc7348a69f2596bbcb6c9a116bb03"},"schema_version":"1.0","source":{"id":"hep-th/0006016","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0006016","created_at":"2026-05-18T01:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0006016v3","created_at":"2026-05-18T01:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0006016","created_at":"2026-05-18T01:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"UPNEYEW7UJSO","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"UPNEYEW7UJSOY3PX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"UPNEYEW7","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:e735274869da6dbef010d65ce55317668749bcc2405af5baa2599ed446df5719","target":"graph","created_at":"2026-05-18T01:06:00Z","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":"In this paper, we investigate the beta-function of the gauge coupling constant ($e$) of the gauged four-fermi theory in the Exact Renormalization Group (ERG) framework. It seems that the presence of the four-fermi interaction strongly affects to the naive RG running of the gauge coupling constant. We show that this strong correction has no physical meaning since the vertex $\\app A\\SR\\psi$ involves the contribution from a mixing as well as a pure gauge interaction due to the (anomalous) mixing among the photon and the vector composite field. By introducing the auxiliary field for the vector com","authors_text":"Jun-Ichi Sumi","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-06-02T09:46:20Z","title":"On the Running Gauge Coupling Constant in the Exact Renormalization Group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0006016","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":"sha256:68108d49a0b38831725710d4467893959067d523d2e2434d727243e75bf7c11a","target":"record","created_at":"2026-05-18T01:06:00Z","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":"b69a036803d1ccf3856752b8d7c806989bd3b70134b9f94178300be3eda86cd6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-06-02T09:46:20Z","title_canon_sha256":"888a10a47c4e5af09112884ad537f3741f3cc7348a69f2596bbcb6c9a116bb03"},"schema_version":"1.0","source":{"id":"hep-th/0006016","kind":"arxiv","version":3}},"canonical_sha256":"a3da4c12dfa264ec6df7e0f392f4e416677fe221c42eabffe3c9732552302af7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3da4c12dfa264ec6df7e0f392f4e416677fe221c42eabffe3c9732552302af7","first_computed_at":"2026-05-18T01:06:00.275427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:00.275427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FChJF27l3TeFfdEU5ZVyVCM9eIVVd9jgfnVvnlC/64S+zQl9u+ZKk60gpvdPmwrlKzpXCj+W0JBuLNJqPKE9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:00.275842Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0006016","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68108d49a0b38831725710d4467893959067d523d2e2434d727243e75bf7c11a","sha256:e735274869da6dbef010d65ce55317668749bcc2405af5baa2599ed446df5719"],"state_sha256":"579884a3e73bca2c93b56856891b8522a8a591aef2bd06c3db1f4fd6b9977979"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cUCKoVbi50OpeJFR8Cer9OeceDYrutnAj1PONnxHaa/vS+FxdOlvgdYTpViXq8D/uzlrG49kmvKmJWq5OfiPBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T10:58:49.197449Z","bundle_sha256":"173af1e412fcf4f88ce6c81d30a7c4bc6067a85a98d427225c54c50318682df1"}}