{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:VN7W4W3FVB67DK4BKLLN5MAFOI","short_pith_number":"pith:VN7W4W3F","canonical_record":{"source":{"id":"2404.02149","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T17:58:22Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"5b0c77a12cda082261a70ece78d013f3fb868ede1fa869583a2a3b2869f3de20","abstract_canon_sha256":"aab6ae8117bfa36add6ff461cf9a08f918510ac0367d97a6ab9f3ed8731efd42"},"schema_version":"1.0"},"canonical_sha256":"ab7f6e5b65a87df1ab8152d6deb005720179ff12e3b5fd04a22394409b671f60","source":{"kind":"arxiv","id":"2404.02149","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.02149","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"arxiv_version","alias_value":"2404.02149v3","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02149","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"pith_short_12","alias_value":"VN7W4W3FVB67","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"pith_short_16","alias_value":"VN7W4W3FVB67DK4B","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"pith_short_8","alias_value":"VN7W4W3F","created_at":"2026-07-05T09:03:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:VN7W4W3FVB67DK4BKLLN5MAFOI","target":"record","payload":{"canonical_record":{"source":{"id":"2404.02149","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T17:58:22Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"5b0c77a12cda082261a70ece78d013f3fb868ede1fa869583a2a3b2869f3de20","abstract_canon_sha256":"aab6ae8117bfa36add6ff461cf9a08f918510ac0367d97a6ab9f3ed8731efd42"},"schema_version":"1.0"},"canonical_sha256":"ab7f6e5b65a87df1ab8152d6deb005720179ff12e3b5fd04a22394409b671f60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:03:50.871545Z","signature_b64":"Y5n4G3eW1hv0XP1eP1lvSvF8XxX7z15W/aUMbksG589SLkg+6SBYK78hVAzvOKEa/Ut4LPn8VPJVq2Y7FTB5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab7f6e5b65a87df1ab8152d6deb005720179ff12e3b5fd04a22394409b671f60","last_reissued_at":"2026-07-05T09:03:50.871050Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:03:50.871050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.02149","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":"2026-07-05T09:03:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ypK9TYqbUn4PU51WRUEhQpDUfi5cZYuwmKXmYAOjC1rmn25FtJ1H613CUYWvyhOOnXWP8bqaWMwB8BgPuzKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:51:42.749373Z"},"content_sha256":"540a8f7d236942b1a7076ff29bfb7dc3eda29f96011b0a9aabf5e1db8e479782","schema_version":"1.0","event_id":"sha256:540a8f7d236942b1a7076ff29bfb7dc3eda29f96011b0a9aabf5e1db8e479782"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:VN7W4W3FVB67DK4BKLLN5MAFOI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nambu-Goto equation from three-dimensional gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Avik Banerjee, Ayan Mukhopadhyay, Giuseppe Policastro","submitted_at":"2024-04-02T17:58:22Z","abstract_excerpt":"We demonstrate that the solutions of three-dimensional gravity obtained by gluing two copies of a spacetime across a junction constituted of a tensile string are in one-to-one correspondence with the solutions of the Nambu-Goto equation in the same spacetime up to a finite number of rigid deformations related to worldsheet and spacetime isometries. The non-linear Nambu-Goto equation satisfied by the average of the embedding coordinates of the junction emerges directly from the junction conditions along with the rigid deformations and corrections due to the tension. Therefore, the equivalence p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02149","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/2404.02149/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":"2026-07-05T09:03:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dYQj0cLsEmUBrsmNVMUVxG39foAX3E7kTa9kUhWf5pqFw9q80Ganow/BKYHLoLZeeyNjtyv6bLcXMdMHtHX5Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T13:51:42.749861Z"},"content_sha256":"b07026b72ced8a5428864dc3c8455bb27d888aab26231f8899a0f90bd2d8e2fa","schema_version":"1.0","event_id":"sha256:b07026b72ced8a5428864dc3c8455bb27d888aab26231f8899a0f90bd2d8e2fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VN7W4W3FVB67DK4BKLLN5MAFOI/bundle.json","state_url":"https://pith.science/pith/VN7W4W3FVB67DK4BKLLN5MAFOI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VN7W4W3FVB67DK4BKLLN5MAFOI/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":"2026-08-08T13:51:42Z","links":{"resolver":"https://pith.science/pith/VN7W4W3FVB67DK4BKLLN5MAFOI","bundle":"https://pith.science/pith/VN7W4W3FVB67DK4BKLLN5MAFOI/bundle.json","state":"https://pith.science/pith/VN7W4W3FVB67DK4BKLLN5MAFOI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VN7W4W3FVB67DK4BKLLN5MAFOI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VN7W4W3FVB67DK4BKLLN5MAFOI","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":"aab6ae8117bfa36add6ff461cf9a08f918510ac0367d97a6ab9f3ed8731efd42","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T17:58:22Z","title_canon_sha256":"5b0c77a12cda082261a70ece78d013f3fb868ede1fa869583a2a3b2869f3de20"},"schema_version":"1.0","source":{"id":"2404.02149","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.02149","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"arxiv_version","alias_value":"2404.02149v3","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02149","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"pith_short_12","alias_value":"VN7W4W3FVB67","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"pith_short_16","alias_value":"VN7W4W3FVB67DK4B","created_at":"2026-07-05T09:03:50Z"},{"alias_kind":"pith_short_8","alias_value":"VN7W4W3F","created_at":"2026-07-05T09:03:50Z"}],"graph_snapshots":[{"event_id":"sha256:b07026b72ced8a5428864dc3c8455bb27d888aab26231f8899a0f90bd2d8e2fa","target":"graph","created_at":"2026-07-05T09:03:50Z","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/2404.02149/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We demonstrate that the solutions of three-dimensional gravity obtained by gluing two copies of a spacetime across a junction constituted of a tensile string are in one-to-one correspondence with the solutions of the Nambu-Goto equation in the same spacetime up to a finite number of rigid deformations related to worldsheet and spacetime isometries. The non-linear Nambu-Goto equation satisfied by the average of the embedding coordinates of the junction emerges directly from the junction conditions along with the rigid deformations and corrections due to the tension. Therefore, the equivalence p","authors_text":"Avik Banerjee, Ayan Mukhopadhyay, Giuseppe Policastro","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T17:58:22Z","title":"Nambu-Goto equation from three-dimensional gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02149","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":"sha256:540a8f7d236942b1a7076ff29bfb7dc3eda29f96011b0a9aabf5e1db8e479782","target":"record","created_at":"2026-07-05T09:03:50Z","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":"aab6ae8117bfa36add6ff461cf9a08f918510ac0367d97a6ab9f3ed8731efd42","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T17:58:22Z","title_canon_sha256":"5b0c77a12cda082261a70ece78d013f3fb868ede1fa869583a2a3b2869f3de20"},"schema_version":"1.0","source":{"id":"2404.02149","kind":"arxiv","version":3}},"canonical_sha256":"ab7f6e5b65a87df1ab8152d6deb005720179ff12e3b5fd04a22394409b671f60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab7f6e5b65a87df1ab8152d6deb005720179ff12e3b5fd04a22394409b671f60","first_computed_at":"2026-07-05T09:03:50.871050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:03:50.871050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y5n4G3eW1hv0XP1eP1lvSvF8XxX7z15W/aUMbksG589SLkg+6SBYK78hVAzvOKEa/Ut4LPn8VPJVq2Y7FTB5BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:03:50.871545Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.02149","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:540a8f7d236942b1a7076ff29bfb7dc3eda29f96011b0a9aabf5e1db8e479782","sha256:b07026b72ced8a5428864dc3c8455bb27d888aab26231f8899a0f90bd2d8e2fa"],"state_sha256":"0edee08114e1e739e9348e9ff62fff326339ed6e1940faa74d860ecbbd4f0ec9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"byfLFh/OWxh352MpnZ+CabxNgFdgHv+zfeYO5iRKOLZLGHyIXlqWjPttOIDV7dEbAjCOmLQXenH4jK6WG3P1Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T13:51:42.753032Z","bundle_sha256":"75cf8ae694dc8566ec05599197a16f9c5a0cb77a42e9f9e904ab8a0d9390a62f"}}