{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:QJCNTS7BNCNTTSH2GCC6HZQCNS","short_pith_number":"pith:QJCNTS7B","canonical_record":{"source":{"id":"2601.09397","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-01-14T11:40:53Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1a52f3b53bc704836b31a3f404a9dcb3f58a9c39b99b09ce828578de096a6e7d","abstract_canon_sha256":"ebf43ded30b7ba55fa4595a61b7b363e5e99b9db60fdef5be04b441c70948fe8"},"schema_version":"1.0"},"canonical_sha256":"8244d9cbe1689b39c8fa3085e3e6026c80c7ced7ab1021ec61200bf9b5cb2e28","source":{"kind":"arxiv","id":"2601.09397","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.09397","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"arxiv_version","alias_value":"2601.09397v4","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.09397","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"pith_short_12","alias_value":"QJCNTS7BNCNT","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"pith_short_16","alias_value":"QJCNTS7BNCNTTSH2","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"pith_short_8","alias_value":"QJCNTS7B","created_at":"2026-07-15T01:20:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:QJCNTS7BNCNTTSH2GCC6HZQCNS","target":"record","payload":{"canonical_record":{"source":{"id":"2601.09397","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-01-14T11:40:53Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1a52f3b53bc704836b31a3f404a9dcb3f58a9c39b99b09ce828578de096a6e7d","abstract_canon_sha256":"ebf43ded30b7ba55fa4595a61b7b363e5e99b9db60fdef5be04b441c70948fe8"},"schema_version":"1.0"},"canonical_sha256":"8244d9cbe1689b39c8fa3085e3e6026c80c7ced7ab1021ec61200bf9b5cb2e28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-15T01:20:53.277285Z","signature_b64":"ISBGEPvMR7HntIwEyUxwGIcHaBI0VpXJRaNJDfjse5/kOXUlwGclEbGnvXSSH+HNRtWgHA18cD+j0dL1b/OxDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8244d9cbe1689b39c8fa3085e3e6026c80c7ced7ab1021ec61200bf9b5cb2e28","last_reissued_at":"2026-07-15T01:20:53.276307Z","signature_status":"signed_v1","first_computed_at":"2026-07-15T01:20:53.276307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.09397","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-15T01:20:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QI6lM7d2ofuuaKL0tkxaZ3b6j4fImpBA79knl50zN829gOx/1P/am0pCAN1MWYv4ZVxMmqB131zpqV5iPd4xDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:10:40.778061Z"},"content_sha256":"c295bb121fc00575e9cac2f7a4f09ee364bfd2efbbf3ad03c414a002078343e3","schema_version":"1.0","event_id":"sha256:c295bb121fc00575e9cac2f7a4f09ee364bfd2efbbf3ad03c414a002078343e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:QJCNTS7BNCNTTSH2GCC6HZQCNS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geodesics, One Point Functions and Black Hole Perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Arundhati Goldar, Nirmalya Kajuri, Parijat Dey","submitted_at":"2026-01-14T11:40:53Z","abstract_excerpt":"Holographic black holes exhibit a striking relation between thermal boundary one-point functions and bulk geodesic lengths. In the large conformal-dimension limit, the one-point function of a primary operator is given by the exponential of the geodesic length from its boundary insertion point to the horizon. We test the robustness of this relation under perturbations by considering a class of deformations of an Euclidean BTZ black hole and working to first order in the perturbation.We find that, at leading order in the large conformal-dimension limit and to first order in the radial horizon-pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.09397","kind":"arxiv","version":4},"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/2601.09397/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":"2026-07-15T01:20:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qetoC6Oa4ruOBej6ZPurZK/SdLZ8MJOGYZSByvnjVCDNOOuZV5QNGuzMgfGeHb2lt/9A5L5CKqdaxrM+BrJoBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:10:40.779060Z"},"content_sha256":"082168139215d7e9a75a3ce2ab6a5b3b0fe65b3a93f8e7d522dd948a7320ee4c","schema_version":"1.0","event_id":"sha256:082168139215d7e9a75a3ce2ab6a5b3b0fe65b3a93f8e7d522dd948a7320ee4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJCNTS7BNCNTTSH2GCC6HZQCNS/bundle.json","state_url":"https://pith.science/pith/QJCNTS7BNCNTTSH2GCC6HZQCNS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJCNTS7BNCNTTSH2GCC6HZQCNS/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":"2026-08-04T19:10:40Z","links":{"resolver":"https://pith.science/pith/QJCNTS7BNCNTTSH2GCC6HZQCNS","bundle":"https://pith.science/pith/QJCNTS7BNCNTTSH2GCC6HZQCNS/bundle.json","state":"https://pith.science/pith/QJCNTS7BNCNTTSH2GCC6HZQCNS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJCNTS7BNCNTTSH2GCC6HZQCNS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QJCNTS7BNCNTTSH2GCC6HZQCNS","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":"ebf43ded30b7ba55fa4595a61b7b363e5e99b9db60fdef5be04b441c70948fe8","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-01-14T11:40:53Z","title_canon_sha256":"1a52f3b53bc704836b31a3f404a9dcb3f58a9c39b99b09ce828578de096a6e7d"},"schema_version":"1.0","source":{"id":"2601.09397","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.09397","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"arxiv_version","alias_value":"2601.09397v4","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.09397","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"pith_short_12","alias_value":"QJCNTS7BNCNT","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"pith_short_16","alias_value":"QJCNTS7BNCNTTSH2","created_at":"2026-07-15T01:20:53Z"},{"alias_kind":"pith_short_8","alias_value":"QJCNTS7B","created_at":"2026-07-15T01:20:53Z"}],"graph_snapshots":[{"event_id":"sha256:082168139215d7e9a75a3ce2ab6a5b3b0fe65b3a93f8e7d522dd948a7320ee4c","target":"graph","created_at":"2026-07-15T01:20:53Z","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/2601.09397/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Holographic black holes exhibit a striking relation between thermal boundary one-point functions and bulk geodesic lengths. In the large conformal-dimension limit, the one-point function of a primary operator is given by the exponential of the geodesic length from its boundary insertion point to the horizon. We test the robustness of this relation under perturbations by considering a class of deformations of an Euclidean BTZ black hole and working to first order in the perturbation.We find that, at leading order in the large conformal-dimension limit and to first order in the radial horizon-pr","authors_text":"Arundhati Goldar, Nirmalya Kajuri, Parijat Dey","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-01-14T11:40:53Z","title":"Geodesics, One Point Functions and Black Hole Perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.09397","kind":"arxiv","version":4},"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:c295bb121fc00575e9cac2f7a4f09ee364bfd2efbbf3ad03c414a002078343e3","target":"record","created_at":"2026-07-15T01:20:53Z","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":"ebf43ded30b7ba55fa4595a61b7b363e5e99b9db60fdef5be04b441c70948fe8","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-01-14T11:40:53Z","title_canon_sha256":"1a52f3b53bc704836b31a3f404a9dcb3f58a9c39b99b09ce828578de096a6e7d"},"schema_version":"1.0","source":{"id":"2601.09397","kind":"arxiv","version":4}},"canonical_sha256":"8244d9cbe1689b39c8fa3085e3e6026c80c7ced7ab1021ec61200bf9b5cb2e28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8244d9cbe1689b39c8fa3085e3e6026c80c7ced7ab1021ec61200bf9b5cb2e28","first_computed_at":"2026-07-15T01:20:53.276307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-15T01:20:53.276307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ISBGEPvMR7HntIwEyUxwGIcHaBI0VpXJRaNJDfjse5/kOXUlwGclEbGnvXSSH+HNRtWgHA18cD+j0dL1b/OxDg==","signature_status":"signed_v1","signed_at":"2026-07-15T01:20:53.277285Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.09397","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c295bb121fc00575e9cac2f7a4f09ee364bfd2efbbf3ad03c414a002078343e3","sha256:082168139215d7e9a75a3ce2ab6a5b3b0fe65b3a93f8e7d522dd948a7320ee4c"],"state_sha256":"cb04ed3eaa35f0bd49c8ff066c171d75c2d44a6f01210535c05e3a392a3e9b26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gOe8ykwAkEELnjLt9raVI/ZZgPsX0x5FbtEa74sCrQOs6GTTtocP+FJPYbDFOZUXxTRQ+3o20kalQd9arbF5Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T19:10:40.787333Z","bundle_sha256":"fcd2e6202a3dc4a5a2d8540b3c814308c8e47eb9a38e958e251b4436f5ad34f3"}}