{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:KRK75MR7GTC5MMJMWKDEERBG3N","short_pith_number":"pith:KRK75MR7","canonical_record":{"source":{"id":"2503.09444","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-12T14:44:14Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"6911e5e4d56db888c8ad470a47ca15a29265cd9fef397de845fbcbdeac55875b","abstract_canon_sha256":"13bb0085945bff610869413917f854ee70e030ed55b54550241a3374d3881231"},"schema_version":"1.0"},"canonical_sha256":"5455feb23f34c5d6312cb286424426db6acfcd27f8e6f450828b5a18a63c7706","source":{"kind":"arxiv","id":"2503.09444","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.09444","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"arxiv_version","alias_value":"2503.09444v1","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.09444","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"pith_short_12","alias_value":"KRK75MR7GTC5","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"pith_short_16","alias_value":"KRK75MR7GTC5MMJM","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"pith_short_8","alias_value":"KRK75MR7","created_at":"2026-07-05T10:29:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:KRK75MR7GTC5MMJMWKDEERBG3N","target":"record","payload":{"canonical_record":{"source":{"id":"2503.09444","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-12T14:44:14Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"6911e5e4d56db888c8ad470a47ca15a29265cd9fef397de845fbcbdeac55875b","abstract_canon_sha256":"13bb0085945bff610869413917f854ee70e030ed55b54550241a3374d3881231"},"schema_version":"1.0"},"canonical_sha256":"5455feb23f34c5d6312cb286424426db6acfcd27f8e6f450828b5a18a63c7706","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:29:56.230579Z","signature_b64":"5B/qpp22WWII5x2e+uEspWzst9MIWn8Mv3T6uPexampnfwp+xr5/V18hc0g4h0QH6ZjHqInEOeyh6UoNLOt7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5455feb23f34c5d6312cb286424426db6acfcd27f8e6f450828b5a18a63c7706","last_reissued_at":"2026-07-05T10:29:56.230112Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:29:56.230112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.09444","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":"2026-07-05T10:29:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bdC1T8bLlB0kTGpkZ9qoH/w6pDyuMoeOJ7VWeP01vVB1m3N+SvHWFow0c2fUmdTrYLshUjU89CK6xMUlYF+WBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T14:03:53.909603Z"},"content_sha256":"de3d704f5aa2bb8faaecf6d1e601654e81a4c8b3dc5aff654c6b92092af0d557","schema_version":"1.0","event_id":"sha256:de3d704f5aa2bb8faaecf6d1e601654e81a4c8b3dc5aff654c6b92092af0d557"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:KRK75MR7GTC5MMJMWKDEERBG3N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beta-Functions and RG flows for Holographic QCD with Heavy and Light Quarks: Isotropic case","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Ali Hajilou, Irina Ya. Aref'eva, Marina Usova, Pavel Slepov","submitted_at":"2025-03-12T14:44:14Z","abstract_excerpt":"In a previous paper [arXiv:2402.14512v3], we investigated the dependence of the running coupling constant on temperature and chemical potential for holographic models of the light and heavy quarks, supported by an Einstein-dilaton-Maxwell action. In this paper, we study the dependence of the corresponding $\\beta$-functions on the temperature and the chemical potential. As in the previous paper, we give special attention to the behavior of the $\\beta$-functions near the 1st order phase transitions. We consider different types of boundary conditions for the dilaton. Only one of the possible boun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.09444","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/2503.09444/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":"2026-07-05T10:29:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OB9JNcdLP8okN9XxUHY0/XNiBuC7hFulwcrrImNCiStSotzSWcSuCZNLuqrgEU/vIlIYvCZFKO/tuNp1HiKfDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T14:03:53.910705Z"},"content_sha256":"22dbf2e776e83eb2c4a76d014366efb55872fef7d73f078d2bed595fd6baeb9f","schema_version":"1.0","event_id":"sha256:22dbf2e776e83eb2c4a76d014366efb55872fef7d73f078d2bed595fd6baeb9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KRK75MR7GTC5MMJMWKDEERBG3N/bundle.json","state_url":"https://pith.science/pith/KRK75MR7GTC5MMJMWKDEERBG3N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KRK75MR7GTC5MMJMWKDEERBG3N/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":"2026-08-17T14:03:53Z","links":{"resolver":"https://pith.science/pith/KRK75MR7GTC5MMJMWKDEERBG3N","bundle":"https://pith.science/pith/KRK75MR7GTC5MMJMWKDEERBG3N/bundle.json","state":"https://pith.science/pith/KRK75MR7GTC5MMJMWKDEERBG3N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KRK75MR7GTC5MMJMWKDEERBG3N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KRK75MR7GTC5MMJMWKDEERBG3N","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":"13bb0085945bff610869413917f854ee70e030ed55b54550241a3374d3881231","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-12T14:44:14Z","title_canon_sha256":"6911e5e4d56db888c8ad470a47ca15a29265cd9fef397de845fbcbdeac55875b"},"schema_version":"1.0","source":{"id":"2503.09444","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.09444","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"arxiv_version","alias_value":"2503.09444v1","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.09444","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"pith_short_12","alias_value":"KRK75MR7GTC5","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"pith_short_16","alias_value":"KRK75MR7GTC5MMJM","created_at":"2026-07-05T10:29:56Z"},{"alias_kind":"pith_short_8","alias_value":"KRK75MR7","created_at":"2026-07-05T10:29:56Z"}],"graph_snapshots":[{"event_id":"sha256:22dbf2e776e83eb2c4a76d014366efb55872fef7d73f078d2bed595fd6baeb9f","target":"graph","created_at":"2026-07-05T10:29:56Z","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/2503.09444/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a previous paper [arXiv:2402.14512v3], we investigated the dependence of the running coupling constant on temperature and chemical potential for holographic models of the light and heavy quarks, supported by an Einstein-dilaton-Maxwell action. In this paper, we study the dependence of the corresponding $\\beta$-functions on the temperature and the chemical potential. As in the previous paper, we give special attention to the behavior of the $\\beta$-functions near the 1st order phase transitions. We consider different types of boundary conditions for the dilaton. Only one of the possible boun","authors_text":"Ali Hajilou, Irina Ya. Aref'eva, Marina Usova, Pavel Slepov","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-12T14:44:14Z","title":"Beta-Functions and RG flows for Holographic QCD with Heavy and Light Quarks: Isotropic case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.09444","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:de3d704f5aa2bb8faaecf6d1e601654e81a4c8b3dc5aff654c6b92092af0d557","target":"record","created_at":"2026-07-05T10:29:56Z","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":"13bb0085945bff610869413917f854ee70e030ed55b54550241a3374d3881231","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-12T14:44:14Z","title_canon_sha256":"6911e5e4d56db888c8ad470a47ca15a29265cd9fef397de845fbcbdeac55875b"},"schema_version":"1.0","source":{"id":"2503.09444","kind":"arxiv","version":1}},"canonical_sha256":"5455feb23f34c5d6312cb286424426db6acfcd27f8e6f450828b5a18a63c7706","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5455feb23f34c5d6312cb286424426db6acfcd27f8e6f450828b5a18a63c7706","first_computed_at":"2026-07-05T10:29:56.230112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:29:56.230112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5B/qpp22WWII5x2e+uEspWzst9MIWn8Mv3T6uPexampnfwp+xr5/V18hc0g4h0QH6ZjHqInEOeyh6UoNLOt7BA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:29:56.230579Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.09444","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de3d704f5aa2bb8faaecf6d1e601654e81a4c8b3dc5aff654c6b92092af0d557","sha256:22dbf2e776e83eb2c4a76d014366efb55872fef7d73f078d2bed595fd6baeb9f"],"state_sha256":"b2c3395afc09ff0feaaef1e7b99d373a0a0b1b8333b1db698e170f52d48931a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I0rIWYZtLa2XJgrnAkuWCwnS4JV2m/BbfPGXZbwHuv39PJjNVKYtkbGoiwwq2UCow6/CX1VGr1JlD8TvTZPADg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T14:03:53.923613Z","bundle_sha256":"9ac4d66905f80f90742e99fe83f4ce100f58cb4e2257417b30f069949ae4a4e9"}}