{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:NBXP62USOHI7KI6DVQ2MMA3LSR","short_pith_number":"pith:NBXP62US","canonical_record":{"source":{"id":"hep-th/9604001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-04-01T09:48:46Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"92ffd43441179fa097f77882a05c936bb804624941dbddb6a41b9bbce604d856","abstract_canon_sha256":"beff8f0204166658a50c2a5b497427374278465f58a8ba554808ff316e776937"},"schema_version":"1.0"},"canonical_sha256":"686eff6a9271d1f523c3ac34c6036b947b8423735a9c97c0bbd5d105fa8ffd9f","source":{"kind":"arxiv","id":"hep-th/9604001","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9604001","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9604001v1","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9604001","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"pith_short_12","alias_value":"NBXP62USOHI7","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"pith_short_16","alias_value":"NBXP62USOHI7KI6D","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"pith_short_8","alias_value":"NBXP62US","created_at":"2026-07-04T16:02:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:NBXP62USOHI7KI6DVQ2MMA3LSR","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9604001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-04-01T09:48:46Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"92ffd43441179fa097f77882a05c936bb804624941dbddb6a41b9bbce604d856","abstract_canon_sha256":"beff8f0204166658a50c2a5b497427374278465f58a8ba554808ff316e776937"},"schema_version":"1.0"},"canonical_sha256":"686eff6a9271d1f523c3ac34c6036b947b8423735a9c97c0bbd5d105fa8ffd9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:02:06.557002Z","signature_b64":"CyBfjx0GWv40TsNUr83n6HJVblnBFI7qO2ThdzDuc+GVMDnmoqoDTITVF8gmJvCPdMJHh+Iusw3plx7hv+oQAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"686eff6a9271d1f523c3ac34c6036b947b8423735a9c97c0bbd5d105fa8ffd9f","last_reissued_at":"2026-07-04T16:02:06.556639Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:02:06.556639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9604001","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:02:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rg/Qs/VQw7/rGeG0eQpsotygWW+MSnTqf1wQIqIp+Etoq10Xei9CxJc0lPng5OQrdZrl4UGJ9DuCkgieO3TvAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:28:57.356151Z"},"content_sha256":"f174fecb6cb90fe28fca3bebf9fc4ef1bc9a9d235570fe2dbb6b1ded38e9dc1f","schema_version":"1.0","event_id":"sha256:f174fecb6cb90fe28fca3bebf9fc4ef1bc9a9d235570fe2dbb6b1ded38e9dc1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:NBXP62USOHI7KI6DVQ2MMA3LSR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"C-theorem for two dimensional chiral theories","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-th","authors_text":"Fiorenzo Bastianelli, Ulf Lindstrom","submitted_at":"1996-04-01T09:48:46Z","abstract_excerpt":"We discuss an extension of the $C$-theorem to chiral theories. We show that two monotonically decreasing $C$-functions can be introduced. However, their difference is a constant of the renormalization group flow. This constant reproduces the 't Hooft anomaly matching conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9604001","kind":"arxiv","version":1},"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/hep-th/9604001/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":"2026-07-04T16:02:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LgmFcREaFIC9GSW6m4g/k4Xmyq7Q6TF5lbL/DRFyK0YF00xS+mQsjP9SEV+0/8gBsbBaL1vywiR1AAQy9ST3Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:28:57.356824Z"},"content_sha256":"4ed2e76026899b815d6b0dd083c71444dfe93d7132220e8eb09d5395e20131a6","schema_version":"1.0","event_id":"sha256:4ed2e76026899b815d6b0dd083c71444dfe93d7132220e8eb09d5395e20131a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBXP62USOHI7KI6DVQ2MMA3LSR/bundle.json","state_url":"https://pith.science/pith/NBXP62USOHI7KI6DVQ2MMA3LSR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBXP62USOHI7KI6DVQ2MMA3LSR/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":"2026-07-07T06:28:57Z","links":{"resolver":"https://pith.science/pith/NBXP62USOHI7KI6DVQ2MMA3LSR","bundle":"https://pith.science/pith/NBXP62USOHI7KI6DVQ2MMA3LSR/bundle.json","state":"https://pith.science/pith/NBXP62USOHI7KI6DVQ2MMA3LSR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBXP62USOHI7KI6DVQ2MMA3LSR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:NBXP62USOHI7KI6DVQ2MMA3LSR","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":"beff8f0204166658a50c2a5b497427374278465f58a8ba554808ff316e776937","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-th","submitted_at":"1996-04-01T09:48:46Z","title_canon_sha256":"92ffd43441179fa097f77882a05c936bb804624941dbddb6a41b9bbce604d856"},"schema_version":"1.0","source":{"id":"hep-th/9604001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9604001","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9604001v1","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9604001","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"pith_short_12","alias_value":"NBXP62USOHI7","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"pith_short_16","alias_value":"NBXP62USOHI7KI6D","created_at":"2026-07-04T16:02:06Z"},{"alias_kind":"pith_short_8","alias_value":"NBXP62US","created_at":"2026-07-04T16:02:06Z"}],"graph_snapshots":[{"event_id":"sha256:4ed2e76026899b815d6b0dd083c71444dfe93d7132220e8eb09d5395e20131a6","target":"graph","created_at":"2026-07-04T16:02:06Z","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/hep-th/9604001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss an extension of the $C$-theorem to chiral theories. We show that two monotonically decreasing $C$-functions can be introduced. However, their difference is a constant of the renormalization group flow. This constant reproduces the 't Hooft anomaly matching conditions.","authors_text":"Fiorenzo Bastianelli, Ulf Lindstrom","cross_cats":["cond-mat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1996-04-01T09:48:46Z","title":"C-theorem for two dimensional chiral theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9604001","kind":"arxiv","version":1},"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:f174fecb6cb90fe28fca3bebf9fc4ef1bc9a9d235570fe2dbb6b1ded38e9dc1f","target":"record","created_at":"2026-07-04T16:02:06Z","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":"beff8f0204166658a50c2a5b497427374278465f58a8ba554808ff316e776937","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-th","submitted_at":"1996-04-01T09:48:46Z","title_canon_sha256":"92ffd43441179fa097f77882a05c936bb804624941dbddb6a41b9bbce604d856"},"schema_version":"1.0","source":{"id":"hep-th/9604001","kind":"arxiv","version":1}},"canonical_sha256":"686eff6a9271d1f523c3ac34c6036b947b8423735a9c97c0bbd5d105fa8ffd9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"686eff6a9271d1f523c3ac34c6036b947b8423735a9c97c0bbd5d105fa8ffd9f","first_computed_at":"2026-07-04T16:02:06.556639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:02:06.556639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CyBfjx0GWv40TsNUr83n6HJVblnBFI7qO2ThdzDuc+GVMDnmoqoDTITVF8gmJvCPdMJHh+Iusw3plx7hv+oQAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:02:06.557002Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9604001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f174fecb6cb90fe28fca3bebf9fc4ef1bc9a9d235570fe2dbb6b1ded38e9dc1f","sha256:4ed2e76026899b815d6b0dd083c71444dfe93d7132220e8eb09d5395e20131a6"],"state_sha256":"dfbd33f896d82c58a5507edad5d333056645af4052882fac240345cd56f8a99e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HFwUMSdG6YTC3wrkHwi8fL9n4PEwqkmflk5rZXOCzVPTCX1z4ZBJH7D/0hzNc6SgUl9H1UP8veyHeA/xrmV3Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T06:28:57.360355Z","bundle_sha256":"47014eade8b3f702d998f6de5957c5f50448a30d935962585c172115cd572e89"}}