{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:W425K24FZBSIZ6NB7WARP6S4LD","short_pith_number":"pith:W425K24F","canonical_record":{"source":{"id":"2306.08673","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-14T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"b8157fa1e9640422b68155622b7e13b087320005ef57997d38ac2214c4ee1f11","abstract_canon_sha256":"27926365dedd43058d7f83dcd2b9c3c3b8c59e56118f0ed627f17c0ec28aecb9"},"schema_version":"1.0"},"canonical_sha256":"b735d56b85c8648cf9a1fd8117fa5c58f57b3a4f04378a91b224a42cff68e8ca","source":{"kind":"arxiv","id":"2306.08673","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.08673","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"2306.08673v1","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.08673","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"W425K24FZBSI","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"pith_short_16","alias_value":"W425K24FZBSIZ6NB","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"pith_short_8","alias_value":"W425K24F","created_at":"2026-07-05T06:20:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:W425K24FZBSIZ6NB7WARP6S4LD","target":"record","payload":{"canonical_record":{"source":{"id":"2306.08673","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-14T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"b8157fa1e9640422b68155622b7e13b087320005ef57997d38ac2214c4ee1f11","abstract_canon_sha256":"27926365dedd43058d7f83dcd2b9c3c3b8c59e56118f0ed627f17c0ec28aecb9"},"schema_version":"1.0"},"canonical_sha256":"b735d56b85c8648cf9a1fd8117fa5c58f57b3a4f04378a91b224a42cff68e8ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:20:54.964500Z","signature_b64":"vtOfbjN/I697ue20LIdiiAedzZLBB+jbpl+6zbEjUJv/65rQC0uYWF/vsIqFGz+wueu0TfMkU5aNzjgmvc61Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b735d56b85c8648cf9a1fd8117fa5c58f57b3a4f04378a91b224a42cff68e8ca","last_reissued_at":"2026-07-05T06:20:54.963993Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:20:54.963993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.08673","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":"2026-07-05T06:20:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fcm6Vbw2cfoG9+5WXer70jaNMAIwe+gKk3YK/5Wl0trjz0EtcZZNywn6XMf8iEryY5uJ65uewnUdR7mGz1B+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T22:13:42.287152Z"},"content_sha256":"4da1117e5ae36a3186569aa7de6649e84616024721e76ca05704152e2e613f9a","schema_version":"1.0","event_id":"sha256:4da1117e5ae36a3186569aa7de6649e84616024721e76ca05704152e2e613f9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:W425K24FZBSIZ6NB7WARP6S4LD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on modular invariant species scale and potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dieter Lust, Niccol\\`o Cribiori","submitted_at":"2023-06-14T18:00:01Z","abstract_excerpt":"The species scale provides an upper bound for the ultraviolet cutoff of effective theories of gravity coupled to a number of light particle species. We point out that modular invariant (super-)potentials provide a simple and computable expression of the species scale as a function of the moduli in toroidal orbifold compactifications of type II and heterotic string. Due to modular symmetry, these functions are valid over all moduli space and not only in asymptotic regions. We observe that additive logarithmic corrections to the species scale arise from the requirement that the latter be modular"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.08673","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/2306.08673/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":"2026-07-05T06:20:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kvajJa37DbfFz7vVheRHGhaQ9rCMmRQJ1Vo88Yp5OC3cOR4O7kwaJoqXGwlsQ13Dtmb7fktu1tqjd68U8VbLBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T22:13:42.288720Z"},"content_sha256":"bf117c0fe25c668d4d5ce8258e93d30c2de769dcfee1b098b50a1f684cc38590","schema_version":"1.0","event_id":"sha256:bf117c0fe25c668d4d5ce8258e93d30c2de769dcfee1b098b50a1f684cc38590"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W425K24FZBSIZ6NB7WARP6S4LD/bundle.json","state_url":"https://pith.science/pith/W425K24FZBSIZ6NB7WARP6S4LD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W425K24FZBSIZ6NB7WARP6S4LD/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":"2026-08-02T22:13:42Z","links":{"resolver":"https://pith.science/pith/W425K24FZBSIZ6NB7WARP6S4LD","bundle":"https://pith.science/pith/W425K24FZBSIZ6NB7WARP6S4LD/bundle.json","state":"https://pith.science/pith/W425K24FZBSIZ6NB7WARP6S4LD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W425K24FZBSIZ6NB7WARP6S4LD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:W425K24FZBSIZ6NB7WARP6S4LD","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":"27926365dedd43058d7f83dcd2b9c3c3b8c59e56118f0ed627f17c0ec28aecb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-14T18:00:01Z","title_canon_sha256":"b8157fa1e9640422b68155622b7e13b087320005ef57997d38ac2214c4ee1f11"},"schema_version":"1.0","source":{"id":"2306.08673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.08673","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"2306.08673v1","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.08673","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"W425K24FZBSI","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"pith_short_16","alias_value":"W425K24FZBSIZ6NB","created_at":"2026-07-05T06:20:54Z"},{"alias_kind":"pith_short_8","alias_value":"W425K24F","created_at":"2026-07-05T06:20:54Z"}],"graph_snapshots":[{"event_id":"sha256:bf117c0fe25c668d4d5ce8258e93d30c2de769dcfee1b098b50a1f684cc38590","target":"graph","created_at":"2026-07-05T06:20:54Z","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/2306.08673/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The species scale provides an upper bound for the ultraviolet cutoff of effective theories of gravity coupled to a number of light particle species. We point out that modular invariant (super-)potentials provide a simple and computable expression of the species scale as a function of the moduli in toroidal orbifold compactifications of type II and heterotic string. Due to modular symmetry, these functions are valid over all moduli space and not only in asymptotic regions. We observe that additive logarithmic corrections to the species scale arise from the requirement that the latter be modular","authors_text":"Dieter Lust, Niccol\\`o Cribiori","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-14T18:00:01Z","title":"A note on modular invariant species scale and potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.08673","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":"sha256:4da1117e5ae36a3186569aa7de6649e84616024721e76ca05704152e2e613f9a","target":"record","created_at":"2026-07-05T06:20:54Z","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":"27926365dedd43058d7f83dcd2b9c3c3b8c59e56118f0ed627f17c0ec28aecb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-06-14T18:00:01Z","title_canon_sha256":"b8157fa1e9640422b68155622b7e13b087320005ef57997d38ac2214c4ee1f11"},"schema_version":"1.0","source":{"id":"2306.08673","kind":"arxiv","version":1}},"canonical_sha256":"b735d56b85c8648cf9a1fd8117fa5c58f57b3a4f04378a91b224a42cff68e8ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b735d56b85c8648cf9a1fd8117fa5c58f57b3a4f04378a91b224a42cff68e8ca","first_computed_at":"2026-07-05T06:20:54.963993Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:20:54.963993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vtOfbjN/I697ue20LIdiiAedzZLBB+jbpl+6zbEjUJv/65rQC0uYWF/vsIqFGz+wueu0TfMkU5aNzjgmvc61Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:20:54.964500Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.08673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4da1117e5ae36a3186569aa7de6649e84616024721e76ca05704152e2e613f9a","sha256:bf117c0fe25c668d4d5ce8258e93d30c2de769dcfee1b098b50a1f684cc38590"],"state_sha256":"e9e0fdd51bf955bba079490abc043055f7d77c51510dc06f6ba9f9d7c8b8962f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZsZ47i9QXOu9NB5Ulzs+xKU/JYNwQM0LWLQWe4QxgwUTF/B1sXv2g3NFuMU6Qvv23lR82qdKPynYsZw1Ba0LBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T22:13:42.294492Z","bundle_sha256":"85e82c1dc14a929aac702f1dd79f4df51f98593f5c6648891b10790901965bfd"}}