{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:VFLRHPW7NQ3PMEAPFPHLRF4P7Y","short_pith_number":"pith:VFLRHPW7","canonical_record":{"source":{"id":"hep-th/9412081","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-12-09T11:02:11Z","cross_cats_sorted":[],"title_canon_sha256":"fab3ae65958d2dd774e8aa11a8be0bf2a8b2642d405293e96d919520111fd0fd","abstract_canon_sha256":"54ce35817d30493ee7b1b45fa5b0abb7a4f21c25fdaa1028521dbeae042bdde5"},"schema_version":"1.0"},"canonical_sha256":"a95713bedf6c36f6100f2bceb8978ffe0ef4014c8ec704f26c04de5cf87a9e2c","source":{"kind":"arxiv","id":"hep-th/9412081","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9412081","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9412081v1","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9412081","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"pith_short_12","alias_value":"VFLRHPW7NQ3P","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"VFLRHPW7NQ3PMEAP","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"VFLRHPW7","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:VFLRHPW7NQ3PMEAPFPHLRF4P7Y","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9412081","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-12-09T11:02:11Z","cross_cats_sorted":[],"title_canon_sha256":"fab3ae65958d2dd774e8aa11a8be0bf2a8b2642d405293e96d919520111fd0fd","abstract_canon_sha256":"54ce35817d30493ee7b1b45fa5b0abb7a4f21c25fdaa1028521dbeae042bdde5"},"schema_version":"1.0"},"canonical_sha256":"a95713bedf6c36f6100f2bceb8978ffe0ef4014c8ec704f26c04de5cf87a9e2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:41.039720Z","signature_b64":"yPPatkZyqAX7EHqRRvaa4w6MzTGfkmshHr75C3lSrZdXhhyE3uhV0Iev7NwoA25szD0Wmt+7J/LtjQisavVRBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a95713bedf6c36f6100f2bceb8978ffe0ef4014c8ec704f26c04de5cf87a9e2c","last_reissued_at":"2026-05-18T01:38:41.039222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:41.039222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9412081","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":"2026-05-18T01:38:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fkH2btLYGbdFJQI+g01rXs6oJn5Jt7kWprmqr1bUEq41FPw9DIvYxvt12GMZEmeUSWuiLSmqkXl2982upTjCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:07:13.933696Z"},"content_sha256":"af887cafcec8c484fca0a16e234eb4508ea6280152a3f3c11403546bf4edc190","schema_version":"1.0","event_id":"sha256:af887cafcec8c484fca0a16e234eb4508ea6280152a3f3c11403546bf4edc190"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:VFLRHPW7NQ3PMEAPFPHLRF4P7Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"String Quantization in Curved Spacetimes: Null String Approach","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Nicolaidis, H. J. de Vega, I. Giannakis","submitted_at":"1994-12-09T11:02:11Z","abstract_excerpt":"We study quantum strings in strong gravitational fields. The relevant small parameter is $g=R_c{\\sqrt T_0}$, where $R_c$ is the curvature of the spacetime and $T_0$ is the string tension. Within our systematic expansion we obtain to zeroth order the null string (string with zero tension), while the first order correction incorporates the string dynamics. We apply our formalism to quantum null strings in de Sitter spacetime. After a reparametrization of the world-sheet coordinates, the equations of motion are simplified. The quantum algebra generated by the constraints is considered, ordering t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9412081","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":""},"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":"2026-05-18T01:38:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gPAdqSbMZe+f5oQyXOfLdwYFdYdfn0WZqs6WAVxIJb0/gS4F2WaC4eOpKeY+DS0Eve9zV5YjIaByDSzCJ4l1Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:07:13.934444Z"},"content_sha256":"e86cca7aeb7ac66a2c2af9278cc8e24d988fdc2fcaca2d4a3e47b8fe39d08157","schema_version":"1.0","event_id":"sha256:e86cca7aeb7ac66a2c2af9278cc8e24d988fdc2fcaca2d4a3e47b8fe39d08157"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VFLRHPW7NQ3PMEAPFPHLRF4P7Y/bundle.json","state_url":"https://pith.science/pith/VFLRHPW7NQ3PMEAPFPHLRF4P7Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VFLRHPW7NQ3PMEAPFPHLRF4P7Y/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":"2026-06-08T19:07:13Z","links":{"resolver":"https://pith.science/pith/VFLRHPW7NQ3PMEAPFPHLRF4P7Y","bundle":"https://pith.science/pith/VFLRHPW7NQ3PMEAPFPHLRF4P7Y/bundle.json","state":"https://pith.science/pith/VFLRHPW7NQ3PMEAPFPHLRF4P7Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VFLRHPW7NQ3PMEAPFPHLRF4P7Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:VFLRHPW7NQ3PMEAPFPHLRF4P7Y","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":"54ce35817d30493ee7b1b45fa5b0abb7a4f21c25fdaa1028521dbeae042bdde5","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-12-09T11:02:11Z","title_canon_sha256":"fab3ae65958d2dd774e8aa11a8be0bf2a8b2642d405293e96d919520111fd0fd"},"schema_version":"1.0","source":{"id":"hep-th/9412081","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9412081","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9412081v1","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9412081","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"pith_short_12","alias_value":"VFLRHPW7NQ3P","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"VFLRHPW7NQ3PMEAP","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"VFLRHPW7","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:e86cca7aeb7ac66a2c2af9278cc8e24d988fdc2fcaca2d4a3e47b8fe39d08157","target":"graph","created_at":"2026-05-18T01:38:41Z","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"},"paper":{"abstract_excerpt":"We study quantum strings in strong gravitational fields. The relevant small parameter is $g=R_c{\\sqrt T_0}$, where $R_c$ is the curvature of the spacetime and $T_0$ is the string tension. Within our systematic expansion we obtain to zeroth order the null string (string with zero tension), while the first order correction incorporates the string dynamics. We apply our formalism to quantum null strings in de Sitter spacetime. After a reparametrization of the world-sheet coordinates, the equations of motion are simplified. The quantum algebra generated by the constraints is considered, ordering t","authors_text":"A. Nicolaidis, H. J. de Vega, I. Giannakis","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-12-09T11:02:11Z","title":"String Quantization in Curved Spacetimes: Null String Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9412081","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:af887cafcec8c484fca0a16e234eb4508ea6280152a3f3c11403546bf4edc190","target":"record","created_at":"2026-05-18T01:38:41Z","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":"54ce35817d30493ee7b1b45fa5b0abb7a4f21c25fdaa1028521dbeae042bdde5","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-12-09T11:02:11Z","title_canon_sha256":"fab3ae65958d2dd774e8aa11a8be0bf2a8b2642d405293e96d919520111fd0fd"},"schema_version":"1.0","source":{"id":"hep-th/9412081","kind":"arxiv","version":1}},"canonical_sha256":"a95713bedf6c36f6100f2bceb8978ffe0ef4014c8ec704f26c04de5cf87a9e2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a95713bedf6c36f6100f2bceb8978ffe0ef4014c8ec704f26c04de5cf87a9e2c","first_computed_at":"2026-05-18T01:38:41.039222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:41.039222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yPPatkZyqAX7EHqRRvaa4w6MzTGfkmshHr75C3lSrZdXhhyE3uhV0Iev7NwoA25szD0Wmt+7J/LtjQisavVRBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:41.039720Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9412081","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af887cafcec8c484fca0a16e234eb4508ea6280152a3f3c11403546bf4edc190","sha256:e86cca7aeb7ac66a2c2af9278cc8e24d988fdc2fcaca2d4a3e47b8fe39d08157"],"state_sha256":"22ae91f7d1f0ed7fe26c167254bdc19090e73f91128c0faf7e8b72806e93b1dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"20lcDhMjgR5fWHDLGfQn/YbaxVZts9QlJUhikcdRVgNbiw1wjWw0x0UhR1uhhvfYwckLl6h+AG/LpLSHv6pqCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:07:13.938433Z","bundle_sha256":"449976f83db854a7effd3e32acb5a146e12eb1f537f3f5a0378a9d7752c8a6b5"}}