{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:BILJRUOG6LXOFZDMVEGZXH2RDN","short_pith_number":"pith:BILJRUOG","canonical_record":{"source":{"id":"2302.06625","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-02-13T19:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"a13337c564a2b0e9769665a5a5163f207330ee06a2494f00fde39844c1cc1a15","abstract_canon_sha256":"fb8ef862a6ac1402fbfca51bb6c911a1f254ffd693f0c4fc83d587e6cefd030c"},"schema_version":"1.0"},"canonical_sha256":"0a1698d1c6f2eee2e46ca90d9b9f511b6b8282e5215fa16100f02a521a734855","source":{"kind":"arxiv","id":"2302.06625","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.06625","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"2302.06625v3","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06625","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"BILJRUOG6LXO","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"pith_short_16","alias_value":"BILJRUOG6LXOFZDM","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"pith_short_8","alias_value":"BILJRUOG","created_at":"2026-07-05T08:20:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:BILJRUOG6LXOFZDMVEGZXH2RDN","target":"record","payload":{"canonical_record":{"source":{"id":"2302.06625","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-02-13T19:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"a13337c564a2b0e9769665a5a5163f207330ee06a2494f00fde39844c1cc1a15","abstract_canon_sha256":"fb8ef862a6ac1402fbfca51bb6c911a1f254ffd693f0c4fc83d587e6cefd030c"},"schema_version":"1.0"},"canonical_sha256":"0a1698d1c6f2eee2e46ca90d9b9f511b6b8282e5215fa16100f02a521a734855","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:20:21.998267Z","signature_b64":"t0S22S8Bzp327lwxITseVrwkjy5jBr2K9PoU3iMIXIdM908UB0EtNQw9R0gYvQcOhHWCtsAXjQRWU7tOZ0orBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a1698d1c6f2eee2e46ca90d9b9f511b6b8282e5215fa16100f02a521a734855","last_reissued_at":"2026-07-05T08:20:21.997903Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:20:21.997903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.06625","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W4W/Mo5vSF4pmzcV1bpVyboUl0/wDAprFQceVJOPIFlwqsQgKH4kMNmgt/I1flMXNYAiUiELPi1tnPenWSAXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:24:15.314744Z"},"content_sha256":"8fcfa966614ca96f4f78d8257068096a7c94a4da00c909f2ffff0ce7a74a73ea","schema_version":"1.0","event_id":"sha256:8fcfa966614ca96f4f78d8257068096a7c94a4da00c909f2ffff0ce7a74a73ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:BILJRUOG6LXOFZDMVEGZXH2RDN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Two-Dimensional String Cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Victor A. Rodriguez","submitted_at":"2023-02-13T19:00:01Z","abstract_excerpt":"We study two-dimensional string theory on a time-dependent background, whose worldsheet description consists of Liouville theory at central charge c = 1 and Liouville theory at central charge c = 25, together with the conformal ghosts. We compute the tree-level three-point and four-point cosmological wavefunctions in string perturbation theory. The latter is evaluated numerically by decomposing the Liouville four-point correlation functions into Virasoro conformal blocks and three-point function coefficients and integrating over the moduli space of the four-punctured sphere string diagram. Thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.06625","kind":"arxiv","version":3},"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/2302.06625/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":"2026-07-05T08:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IqV+Tm4Xr8v+Zm5qWyzoiNVfM2CimDn+b3Ttc7KBqIqcK6kpc2IjuMI78s2AtHAvXh3MCXPNamHNlKpguAn5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:24:15.315247Z"},"content_sha256":"124454d1a6ff40d540bed87f8122f3cb6b4075997442182cd37465013a6ef14b","schema_version":"1.0","event_id":"sha256:124454d1a6ff40d540bed87f8122f3cb6b4075997442182cd37465013a6ef14b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BILJRUOG6LXOFZDMVEGZXH2RDN/bundle.json","state_url":"https://pith.science/pith/BILJRUOG6LXOFZDMVEGZXH2RDN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BILJRUOG6LXOFZDMVEGZXH2RDN/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":"2026-08-04T01:24:15Z","links":{"resolver":"https://pith.science/pith/BILJRUOG6LXOFZDMVEGZXH2RDN","bundle":"https://pith.science/pith/BILJRUOG6LXOFZDMVEGZXH2RDN/bundle.json","state":"https://pith.science/pith/BILJRUOG6LXOFZDMVEGZXH2RDN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BILJRUOG6LXOFZDMVEGZXH2RDN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:BILJRUOG6LXOFZDMVEGZXH2RDN","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":"fb8ef862a6ac1402fbfca51bb6c911a1f254ffd693f0c4fc83d587e6cefd030c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-02-13T19:00:01Z","title_canon_sha256":"a13337c564a2b0e9769665a5a5163f207330ee06a2494f00fde39844c1cc1a15"},"schema_version":"1.0","source":{"id":"2302.06625","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.06625","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"2302.06625v3","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06625","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"BILJRUOG6LXO","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"pith_short_16","alias_value":"BILJRUOG6LXOFZDM","created_at":"2026-07-05T08:20:21Z"},{"alias_kind":"pith_short_8","alias_value":"BILJRUOG","created_at":"2026-07-05T08:20:21Z"}],"graph_snapshots":[{"event_id":"sha256:124454d1a6ff40d540bed87f8122f3cb6b4075997442182cd37465013a6ef14b","target":"graph","created_at":"2026-07-05T08:20:21Z","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/2302.06625/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study two-dimensional string theory on a time-dependent background, whose worldsheet description consists of Liouville theory at central charge c = 1 and Liouville theory at central charge c = 25, together with the conformal ghosts. We compute the tree-level three-point and four-point cosmological wavefunctions in string perturbation theory. The latter is evaluated numerically by decomposing the Liouville four-point correlation functions into Virasoro conformal blocks and three-point function coefficients and integrating over the moduli space of the four-punctured sphere string diagram. Thi","authors_text":"Victor A. Rodriguez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-02-13T19:00:01Z","title":"A Two-Dimensional String Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.06625","kind":"arxiv","version":3},"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":"sha256:8fcfa966614ca96f4f78d8257068096a7c94a4da00c909f2ffff0ce7a74a73ea","target":"record","created_at":"2026-07-05T08:20:21Z","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":"fb8ef862a6ac1402fbfca51bb6c911a1f254ffd693f0c4fc83d587e6cefd030c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-02-13T19:00:01Z","title_canon_sha256":"a13337c564a2b0e9769665a5a5163f207330ee06a2494f00fde39844c1cc1a15"},"schema_version":"1.0","source":{"id":"2302.06625","kind":"arxiv","version":3}},"canonical_sha256":"0a1698d1c6f2eee2e46ca90d9b9f511b6b8282e5215fa16100f02a521a734855","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a1698d1c6f2eee2e46ca90d9b9f511b6b8282e5215fa16100f02a521a734855","first_computed_at":"2026-07-05T08:20:21.997903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:20:21.997903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t0S22S8Bzp327lwxITseVrwkjy5jBr2K9PoU3iMIXIdM908UB0EtNQw9R0gYvQcOhHWCtsAXjQRWU7tOZ0orBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:20:21.998267Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.06625","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fcfa966614ca96f4f78d8257068096a7c94a4da00c909f2ffff0ce7a74a73ea","sha256:124454d1a6ff40d540bed87f8122f3cb6b4075997442182cd37465013a6ef14b"],"state_sha256":"9d4fa9df67eb01426ac9e6f3930e56fa73499b75002db16d7c8032b165097f96"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DJ+JrusQrGTfol+a2nywNwhFgYLH4GpvFTPs8AVTSuusYj95Gzv2XJLvifSiLqLe4VMJjv77bZ6tjFqWtek+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:24:15.320411Z","bundle_sha256":"5b3f2b7c402abdfc63544a9924d3f67819fd87cb56ebcae8cae4e9225740ef92"}}