{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:H4X4WUPNUMQOAEKOMKY3SG23PS","short_pith_number":"pith:H4X4WUPN","canonical_record":{"source":{"id":"2402.06179","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-02-09T04:35:00Z","cross_cats_sorted":[],"title_canon_sha256":"7a54eb5b40b3fbac10e0322fb7cac06e198be2bc5eefb75b12ed1a53a2cc32e1","abstract_canon_sha256":"92c5e636f086c898881418b608873be29f5f3b66b4dd4f92cd330b94e90fa16f"},"schema_version":"1.0"},"canonical_sha256":"3f2fcb51eda320e0114e62b1b91b5b7cac3085bafd9d1dcf9d03ee23625ac0cb","source":{"kind":"arxiv","id":"2402.06179","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.06179","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"arxiv_version","alias_value":"2402.06179v2","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.06179","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"pith_short_12","alias_value":"H4X4WUPNUMQO","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"pith_short_16","alias_value":"H4X4WUPNUMQOAEKO","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"pith_short_8","alias_value":"H4X4WUPN","created_at":"2026-07-05T09:22:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:H4X4WUPNUMQOAEKOMKY3SG23PS","target":"record","payload":{"canonical_record":{"source":{"id":"2402.06179","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-02-09T04:35:00Z","cross_cats_sorted":[],"title_canon_sha256":"7a54eb5b40b3fbac10e0322fb7cac06e198be2bc5eefb75b12ed1a53a2cc32e1","abstract_canon_sha256":"92c5e636f086c898881418b608873be29f5f3b66b4dd4f92cd330b94e90fa16f"},"schema_version":"1.0"},"canonical_sha256":"3f2fcb51eda320e0114e62b1b91b5b7cac3085bafd9d1dcf9d03ee23625ac0cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:22:15.727786Z","signature_b64":"S2U1dWpfHgG3jYzmvFMaf6EbUh8N0nLSWfN4PuZAIuJVGqawuBWqoTTz2GL3j7ZO8HxuUyBw6ILJVmOPqXKGBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f2fcb51eda320e0114e62b1b91b5b7cac3085bafd9d1dcf9d03ee23625ac0cb","last_reissued_at":"2026-07-05T09:22:15.727293Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:22:15.727293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.06179","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":"2026-07-05T09:22:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFJKmjsHvekpU9Yay8Pe5WWY7Y+BPavQYuQb9u7nu7PeSDjpp2ZfI5QIJ3/wExbfUr+57FEuRb+BmmZYfUUmAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:34:53.579597Z"},"content_sha256":"0f4fa8df417989af050f4e4e016999a9a2f8f60ed55a9ee5eac4686e8c961ec2","schema_version":"1.0","event_id":"sha256:0f4fa8df417989af050f4e4e016999a9a2f8f60ed55a9ee5eac4686e8c961ec2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:H4X4WUPNUMQOAEKOMKY3SG23PS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Closed string vertex operators with various ghost number","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Isao Kishimoto, Mako Kouga, Shigenori Seki, Tomohiko Takahashi","submitted_at":"2024-02-09T04:35:00Z","abstract_excerpt":"We construct closed string vertex operators with various ghost numbers in addition to the conventional ones, using the Faddeev-Popov procedure for the gauge fixing of the conformal Killing group, from matter primary fields. We find that these operators give solutions to the descent equations in the framework of the BRST formalism. Similarly, we also construct solutions to the descent equations for the dilaton vertex operator with the Lorentz covariant form. Using the unintegrated vertex operator of the dilaton with the ghost number three, we obtain the correct result of the tadpole amplitude o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.06179","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/2402.06179/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":"2026-07-05T09:22:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yjb/XbVTj7EOIA14pP+JQfDZsgDiuMNYRbP+wSSZR1XodfzDNS+Wi9QDsCv6YHkW6ThbpmByvudvaMvzfrIoBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:34:53.580159Z"},"content_sha256":"e37826d485f9d25ed55749de95ae55013175de9642d8f8a4696978600f23da36","schema_version":"1.0","event_id":"sha256:e37826d485f9d25ed55749de95ae55013175de9642d8f8a4696978600f23da36"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H4X4WUPNUMQOAEKOMKY3SG23PS/bundle.json","state_url":"https://pith.science/pith/H4X4WUPNUMQOAEKOMKY3SG23PS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H4X4WUPNUMQOAEKOMKY3SG23PS/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":"2026-08-09T02:34:53Z","links":{"resolver":"https://pith.science/pith/H4X4WUPNUMQOAEKOMKY3SG23PS","bundle":"https://pith.science/pith/H4X4WUPNUMQOAEKOMKY3SG23PS/bundle.json","state":"https://pith.science/pith/H4X4WUPNUMQOAEKOMKY3SG23PS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H4X4WUPNUMQOAEKOMKY3SG23PS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:H4X4WUPNUMQOAEKOMKY3SG23PS","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":"92c5e636f086c898881418b608873be29f5f3b66b4dd4f92cd330b94e90fa16f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-02-09T04:35:00Z","title_canon_sha256":"7a54eb5b40b3fbac10e0322fb7cac06e198be2bc5eefb75b12ed1a53a2cc32e1"},"schema_version":"1.0","source":{"id":"2402.06179","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.06179","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"arxiv_version","alias_value":"2402.06179v2","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.06179","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"pith_short_12","alias_value":"H4X4WUPNUMQO","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"pith_short_16","alias_value":"H4X4WUPNUMQOAEKO","created_at":"2026-07-05T09:22:15Z"},{"alias_kind":"pith_short_8","alias_value":"H4X4WUPN","created_at":"2026-07-05T09:22:15Z"}],"graph_snapshots":[{"event_id":"sha256:e37826d485f9d25ed55749de95ae55013175de9642d8f8a4696978600f23da36","target":"graph","created_at":"2026-07-05T09:22:15Z","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/2402.06179/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct closed string vertex operators with various ghost numbers in addition to the conventional ones, using the Faddeev-Popov procedure for the gauge fixing of the conformal Killing group, from matter primary fields. We find that these operators give solutions to the descent equations in the framework of the BRST formalism. Similarly, we also construct solutions to the descent equations for the dilaton vertex operator with the Lorentz covariant form. Using the unintegrated vertex operator of the dilaton with the ghost number three, we obtain the correct result of the tadpole amplitude o","authors_text":"Isao Kishimoto, Mako Kouga, Shigenori Seki, Tomohiko Takahashi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-02-09T04:35:00Z","title":"Closed string vertex operators with various ghost number"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.06179","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":"sha256:0f4fa8df417989af050f4e4e016999a9a2f8f60ed55a9ee5eac4686e8c961ec2","target":"record","created_at":"2026-07-05T09:22:15Z","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":"92c5e636f086c898881418b608873be29f5f3b66b4dd4f92cd330b94e90fa16f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-02-09T04:35:00Z","title_canon_sha256":"7a54eb5b40b3fbac10e0322fb7cac06e198be2bc5eefb75b12ed1a53a2cc32e1"},"schema_version":"1.0","source":{"id":"2402.06179","kind":"arxiv","version":2}},"canonical_sha256":"3f2fcb51eda320e0114e62b1b91b5b7cac3085bafd9d1dcf9d03ee23625ac0cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f2fcb51eda320e0114e62b1b91b5b7cac3085bafd9d1dcf9d03ee23625ac0cb","first_computed_at":"2026-07-05T09:22:15.727293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:22:15.727293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S2U1dWpfHgG3jYzmvFMaf6EbUh8N0nLSWfN4PuZAIuJVGqawuBWqoTTz2GL3j7ZO8HxuUyBw6ILJVmOPqXKGBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:22:15.727786Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.06179","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f4fa8df417989af050f4e4e016999a9a2f8f60ed55a9ee5eac4686e8c961ec2","sha256:e37826d485f9d25ed55749de95ae55013175de9642d8f8a4696978600f23da36"],"state_sha256":"ac77a54b34caffafe9f230da4cd1675f9f6457b0df92a257cebc2285fa5911de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7xxAYSu64FJYSs1hgnPqpgz12/tTnMY9JwbaELgVQBXgzi5e4cLVacRyvWv4cRbDogNH5V+mMMNImZBA34szCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T02:34:53.584993Z","bundle_sha256":"def4fc337197d9cde6a7218954807572596d4346744ceba202e3b3854733aa21"}}