{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:WB3ZDTIJ4JMORVPQPSHULXBD5E","short_pith_number":"pith:WB3ZDTIJ","canonical_record":{"source":{"id":"hep-th/9912018","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-12-02T23:56:34Z","cross_cats_sorted":[],"title_canon_sha256":"60adf7d2be8614a3178ddbe4b01710e296d94f3b9a224ce266e48c1280f46a3d","abstract_canon_sha256":"efcc970f0151aeb039861a9f7a5cefb6b22c682fd76b88334e02432f72485f55"},"schema_version":"1.0"},"canonical_sha256":"b07791cd09e258e8d5f07c8f45dc23e902215380649ad3db970a4b96bcf5160f","source":{"kind":"arxiv","id":"hep-th/9912018","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9912018","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9912018v2","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9912018","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"pith_short_12","alias_value":"WB3ZDTIJ4JMO","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"pith_short_16","alias_value":"WB3ZDTIJ4JMORVPQ","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"pith_short_8","alias_value":"WB3ZDTIJ","created_at":"2026-07-04T16:15:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:WB3ZDTIJ4JMORVPQPSHULXBD5E","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9912018","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-12-02T23:56:34Z","cross_cats_sorted":[],"title_canon_sha256":"60adf7d2be8614a3178ddbe4b01710e296d94f3b9a224ce266e48c1280f46a3d","abstract_canon_sha256":"efcc970f0151aeb039861a9f7a5cefb6b22c682fd76b88334e02432f72485f55"},"schema_version":"1.0"},"canonical_sha256":"b07791cd09e258e8d5f07c8f45dc23e902215380649ad3db970a4b96bcf5160f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:15:03.781984Z","signature_b64":"+9nH2d497/1TYkUvujPJtLzvoVnkMcDUJFVduxBQq/AxVQvrYcFN7L0256gxCcR5l3eVwkGIiLTv1v81764bAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b07791cd09e258e8d5f07c8f45dc23e902215380649ad3db970a4b96bcf5160f","last_reissued_at":"2026-07-04T16:15:03.781580Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:15:03.781580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9912018","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:15:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uPn/VGwqMHaxW26cKVNHu95qSgvcs2i8XzyZOsaYmTNKxMZ3KT5Fo267Xp+MA2GcCFQr/Caw6tC0u4Ba6WDJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T02:44:14.380121Z"},"content_sha256":"10ef9d6361fd1c90518e1906499f5a99e2aa29bc642fd90d7289536789d0aeb2","schema_version":"1.0","event_id":"sha256:10ef9d6361fd1c90518e1906499f5a99e2aa29bc642fd90d7289536789d0aeb2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:WB3ZDTIJ4JMORVPQPSHULXBD5E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"RG-Flow, Gravity and the Cosmological Constant","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Verlinde, H. Verlinde","submitted_at":"1999-12-02T23:56:34Z","abstract_excerpt":"We study the low energy effective action $S$ of gravity, induced by integrating out gauge and matter fields, in a general class of Randall-Sundrum type string compactification scenarios with exponential warp factors. Our method combines dimensional reduction with the holographic map between between 5-d supergravity and 4-d large $N$ field theory. Using the classical supergravity approximation, we derive a flow equation of the effective action $S$ that controls its behavior under scale transformations. We find that as a result each extremum of $S$ automatically describes a complete RG trajector"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9912018","kind":"arxiv","version":2},"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/9912018/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":"2026-07-04T16:15:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QpYlUdNRav1OyJ1u8YwXTt3sEUpuaFmbSALKJBhjMFwdmxYCj0SvoyTpFxuKrUCSrbhzCrAAoI0+zIERJ0CGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T02:44:14.380467Z"},"content_sha256":"a067da5893dd1eed29ab4a5bd4b54050fd214c610b5a3eff673e5ee71036752d","schema_version":"1.0","event_id":"sha256:a067da5893dd1eed29ab4a5bd4b54050fd214c610b5a3eff673e5ee71036752d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WB3ZDTIJ4JMORVPQPSHULXBD5E/bundle.json","state_url":"https://pith.science/pith/WB3ZDTIJ4JMORVPQPSHULXBD5E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WB3ZDTIJ4JMORVPQPSHULXBD5E/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":"2026-08-06T02:44:14Z","links":{"resolver":"https://pith.science/pith/WB3ZDTIJ4JMORVPQPSHULXBD5E","bundle":"https://pith.science/pith/WB3ZDTIJ4JMORVPQPSHULXBD5E/bundle.json","state":"https://pith.science/pith/WB3ZDTIJ4JMORVPQPSHULXBD5E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WB3ZDTIJ4JMORVPQPSHULXBD5E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:WB3ZDTIJ4JMORVPQPSHULXBD5E","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":"efcc970f0151aeb039861a9f7a5cefb6b22c682fd76b88334e02432f72485f55","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-12-02T23:56:34Z","title_canon_sha256":"60adf7d2be8614a3178ddbe4b01710e296d94f3b9a224ce266e48c1280f46a3d"},"schema_version":"1.0","source":{"id":"hep-th/9912018","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9912018","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9912018v2","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9912018","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"pith_short_12","alias_value":"WB3ZDTIJ4JMO","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"pith_short_16","alias_value":"WB3ZDTIJ4JMORVPQ","created_at":"2026-07-04T16:15:03Z"},{"alias_kind":"pith_short_8","alias_value":"WB3ZDTIJ","created_at":"2026-07-04T16:15:03Z"}],"graph_snapshots":[{"event_id":"sha256:a067da5893dd1eed29ab4a5bd4b54050fd214c610b5a3eff673e5ee71036752d","target":"graph","created_at":"2026-07-04T16:15:03Z","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/9912018/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the low energy effective action $S$ of gravity, induced by integrating out gauge and matter fields, in a general class of Randall-Sundrum type string compactification scenarios with exponential warp factors. Our method combines dimensional reduction with the holographic map between between 5-d supergravity and 4-d large $N$ field theory. Using the classical supergravity approximation, we derive a flow equation of the effective action $S$ that controls its behavior under scale transformations. We find that as a result each extremum of $S$ automatically describes a complete RG trajector","authors_text":"E. Verlinde, H. Verlinde","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-12-02T23:56:34Z","title":"RG-Flow, Gravity and the Cosmological Constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9912018","kind":"arxiv","version":2},"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":"sha256:10ef9d6361fd1c90518e1906499f5a99e2aa29bc642fd90d7289536789d0aeb2","target":"record","created_at":"2026-07-04T16:15:03Z","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":"efcc970f0151aeb039861a9f7a5cefb6b22c682fd76b88334e02432f72485f55","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-12-02T23:56:34Z","title_canon_sha256":"60adf7d2be8614a3178ddbe4b01710e296d94f3b9a224ce266e48c1280f46a3d"},"schema_version":"1.0","source":{"id":"hep-th/9912018","kind":"arxiv","version":2}},"canonical_sha256":"b07791cd09e258e8d5f07c8f45dc23e902215380649ad3db970a4b96bcf5160f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b07791cd09e258e8d5f07c8f45dc23e902215380649ad3db970a4b96bcf5160f","first_computed_at":"2026-07-04T16:15:03.781580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:15:03.781580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+9nH2d497/1TYkUvujPJtLzvoVnkMcDUJFVduxBQq/AxVQvrYcFN7L0256gxCcR5l3eVwkGIiLTv1v81764bAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:15:03.781984Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9912018","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10ef9d6361fd1c90518e1906499f5a99e2aa29bc642fd90d7289536789d0aeb2","sha256:a067da5893dd1eed29ab4a5bd4b54050fd214c610b5a3eff673e5ee71036752d"],"state_sha256":"2320eb1be75a144b4fa5bfd74f6244528016d4f96708c136f3608987556f62a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k7viCMKR8AA8UUtZ8b2UE0ZY7EeMoBYWqvNJbjospC2ZxRpF/GzGAMRS9RPj0Gu4GjSnfPoJ3LV/nh6o0y2lDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T02:44:14.387227Z","bundle_sha256":"e19d65eaccf370ba3c986bec979baaa0d75dce9a99a6ba38d6ca42a19a732ab3"}}