{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:H5B4UJJ6TY6FUCBB6DBTSC5VUS","short_pith_number":"pith:H5B4UJJ6","canonical_record":{"source":{"id":"hep-th/0210093","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-10-10T17:15:02Z","cross_cats_sorted":[],"title_canon_sha256":"df6ef96e10b42f2d608d2b15b290507248f5608d6c0d1a695c56e4a58733a70e","abstract_canon_sha256":"ffa65f97f3f75e109b2993199da8906bf96f10deb50894889728b73ce055865f"},"schema_version":"1.0"},"canonical_sha256":"3f43ca253e9e3c5a0821f0c3390bb5a4863ed63469d1b716557c67cee7a16d22","source":{"kind":"arxiv","id":"hep-th/0210093","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0210093","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0210093v2","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0210093","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"pith_short_12","alias_value":"H5B4UJJ6TY6F","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"pith_short_16","alias_value":"H5B4UJJ6TY6FUCBB","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"pith_short_8","alias_value":"H5B4UJJ6","created_at":"2026-07-04T16:34:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:H5B4UJJ6TY6FUCBB6DBTSC5VUS","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0210093","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-10-10T17:15:02Z","cross_cats_sorted":[],"title_canon_sha256":"df6ef96e10b42f2d608d2b15b290507248f5608d6c0d1a695c56e4a58733a70e","abstract_canon_sha256":"ffa65f97f3f75e109b2993199da8906bf96f10deb50894889728b73ce055865f"},"schema_version":"1.0"},"canonical_sha256":"3f43ca253e9e3c5a0821f0c3390bb5a4863ed63469d1b716557c67cee7a16d22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:34:55.664975Z","signature_b64":"gBc3v0OtU781elBlORWU11kldvNnX5sYFtiL3Uj47tCp8C80AUqbSJG+bkYImo4q7BnTcXmLcwpUmsk72j0+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f43ca253e9e3c5a0821f0c3390bb5a4863ed63469d1b716557c67cee7a16d22","last_reissued_at":"2026-07-04T16:34:55.664583Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:34:55.664583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0210093","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":"2026-07-04T16:34:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cerd3buTFsQEaDfgjTvqlsDAvo8LAYYJ2yDPA9AoLjaf2OOhNlth3L2gAqcDI8DqjgUVi//LVejGx7Umc5GKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:18:20.612378Z"},"content_sha256":"aeefcc5bd0d252d865994d55dad5a238debfada5e7d7a94888578b66850d2b87","schema_version":"1.0","event_id":"sha256:aeefcc5bd0d252d865994d55dad5a238debfada5e7d7a94888578b66850d2b87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:H5B4UJJ6TY6FUCBB6DBTSC5VUS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Double-trace operators and one-loop vacuum energy in AdS/CFT","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Indrajit Mitra (Princeton University), Steven S. Gubser","submitted_at":"2002-10-10T17:15:02Z","abstract_excerpt":"We perform a one-loop calculation of the vacuum energy of a tachyon field in anti de-Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory. Such an operator can lead to a renormalization group flow between two different conformal field theories related to each other by a Legengre transformation in the large N limit. The calculation of the one-loop vacuum energy enables us to verify the holographic c-theorem one step beyond the classical supergravity approximation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0210093","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/0210093/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":"2026-07-04T16:34:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3XSBm3wUpZbhQEXGuntaBy+gXss3GGnB3TSdTxIsPbTZqUy9CKlsF5T5uVaQFLT+7YRzdixmeniuZQ7fRbP4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T20:18:20.612875Z"},"content_sha256":"bb72cf71d26762f69991c08d60b4ca46ef27d530fa1bff73b52a6d5f7b8d4c26","schema_version":"1.0","event_id":"sha256:bb72cf71d26762f69991c08d60b4ca46ef27d530fa1bff73b52a6d5f7b8d4c26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H5B4UJJ6TY6FUCBB6DBTSC5VUS/bundle.json","state_url":"https://pith.science/pith/H5B4UJJ6TY6FUCBB6DBTSC5VUS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H5B4UJJ6TY6FUCBB6DBTSC5VUS/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":"2026-08-12T20:18:20Z","links":{"resolver":"https://pith.science/pith/H5B4UJJ6TY6FUCBB6DBTSC5VUS","bundle":"https://pith.science/pith/H5B4UJJ6TY6FUCBB6DBTSC5VUS/bundle.json","state":"https://pith.science/pith/H5B4UJJ6TY6FUCBB6DBTSC5VUS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H5B4UJJ6TY6FUCBB6DBTSC5VUS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:H5B4UJJ6TY6FUCBB6DBTSC5VUS","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":"ffa65f97f3f75e109b2993199da8906bf96f10deb50894889728b73ce055865f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-10-10T17:15:02Z","title_canon_sha256":"df6ef96e10b42f2d608d2b15b290507248f5608d6c0d1a695c56e4a58733a70e"},"schema_version":"1.0","source":{"id":"hep-th/0210093","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0210093","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0210093v2","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0210093","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"pith_short_12","alias_value":"H5B4UJJ6TY6F","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"pith_short_16","alias_value":"H5B4UJJ6TY6FUCBB","created_at":"2026-07-04T16:34:55Z"},{"alias_kind":"pith_short_8","alias_value":"H5B4UJJ6","created_at":"2026-07-04T16:34:55Z"}],"graph_snapshots":[{"event_id":"sha256:bb72cf71d26762f69991c08d60b4ca46ef27d530fa1bff73b52a6d5f7b8d4c26","target":"graph","created_at":"2026-07-04T16:34:55Z","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/0210093/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We perform a one-loop calculation of the vacuum energy of a tachyon field in anti de-Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory. Such an operator can lead to a renormalization group flow between two different conformal field theories related to each other by a Legengre transformation in the large N limit. The calculation of the one-loop vacuum energy enables us to verify the holographic c-theorem one step beyond the classical supergravity approximation.","authors_text":"Indrajit Mitra (Princeton University), Steven S. Gubser","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-10-10T17:15:02Z","title":"Double-trace operators and one-loop vacuum energy in AdS/CFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0210093","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:aeefcc5bd0d252d865994d55dad5a238debfada5e7d7a94888578b66850d2b87","target":"record","created_at":"2026-07-04T16:34:55Z","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":"ffa65f97f3f75e109b2993199da8906bf96f10deb50894889728b73ce055865f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-10-10T17:15:02Z","title_canon_sha256":"df6ef96e10b42f2d608d2b15b290507248f5608d6c0d1a695c56e4a58733a70e"},"schema_version":"1.0","source":{"id":"hep-th/0210093","kind":"arxiv","version":2}},"canonical_sha256":"3f43ca253e9e3c5a0821f0c3390bb5a4863ed63469d1b716557c67cee7a16d22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f43ca253e9e3c5a0821f0c3390bb5a4863ed63469d1b716557c67cee7a16d22","first_computed_at":"2026-07-04T16:34:55.664583Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:34:55.664583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gBc3v0OtU781elBlORWU11kldvNnX5sYFtiL3Uj47tCp8C80AUqbSJG+bkYImo4q7BnTcXmLcwpUmsk72j0+AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:34:55.664975Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0210093","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aeefcc5bd0d252d865994d55dad5a238debfada5e7d7a94888578b66850d2b87","sha256:bb72cf71d26762f69991c08d60b4ca46ef27d530fa1bff73b52a6d5f7b8d4c26"],"state_sha256":"ff394ad71cc2cfb971e16f66451d2cbb6f889203572fcc43e027bb2e48e3122c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2T6is/uUV0ojT7r93UhBKVqK8XA/Z7O0zzroCmsWhn90ov7+OK8PSDQ06UGcz5eJM6D+YC7foc+B0SLVpcuABw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T20:18:20.617962Z","bundle_sha256":"4148bfb7fb4717af49061dc03031bea5f475dc9dd3ae512b1f09cced7f9230e3"}}