{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CUNM7WNEUGBURPINXSOL74UZQN","short_pith_number":"pith:CUNM7WNE","canonical_record":{"source":{"id":"1504.06613","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-24T19:43:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c214d1c4e4e265bc2dd2de0a4f137413cd8b9993f12031c60b6d973648c717bc","abstract_canon_sha256":"c1f046485c1359ce4e780a708be0419eea1226323c670a2656c266a03645025b"},"schema_version":"1.0"},"canonical_sha256":"151acfd9a4a18348bd0dbc9cbff29983488d4214c430100e8e458f0cb9890db2","source":{"kind":"arxiv","id":"1504.06613","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06613","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06613v4","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06613","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"CUNM7WNEUGBU","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CUNM7WNEUGBURPIN","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CUNM7WNE","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CUNM7WNEUGBURPINXSOL74UZQN","target":"record","payload":{"canonical_record":{"source":{"id":"1504.06613","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-24T19:43:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c214d1c4e4e265bc2dd2de0a4f137413cd8b9993f12031c60b6d973648c717bc","abstract_canon_sha256":"c1f046485c1359ce4e780a708be0419eea1226323c670a2656c266a03645025b"},"schema_version":"1.0"},"canonical_sha256":"151acfd9a4a18348bd0dbc9cbff29983488d4214c430100e8e458f0cb9890db2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:52.972447Z","signature_b64":"/dhMzG0ZTOJSfLlUWN959OFVXok3ez2Gz27e22NhnD//PpBPMF05j+nINSo+yqFjjvJqtN0BzaLstiDwXx+2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"151acfd9a4a18348bd0dbc9cbff29983488d4214c430100e8e458f0cb9890db2","last_reissued_at":"2026-05-18T01:15:52.971950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:52.971950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.06613","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":"2026-05-18T01:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBm+NQdOnOZxZcNu8UYnyY+PKh+RdyljHNhmYTxU6TG1NGr/SlncAu9nUx57e3GzV8PBN6nyBYOe0CjuGQyFCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:11:29.503891Z"},"content_sha256":"c90da2021f17519cf1a7b6c9df71f9478e8435203db91b1bcac9c0028c6ffe94","schema_version":"1.0","event_id":"sha256:c90da2021f17519cf1a7b6c9df71f9478e8435203db91b1bcac9c0028c6ffe94"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CUNM7WNEUGBURPINXSOL74UZQN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A membrane paradigm at large D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Anandita De, Arunabha Saha, Ravi Mohan, Sayantani Bhattacharyya, Shiraz Minwalla","submitted_at":"2015-04-24T19:43:25Z","abstract_excerpt":"We study $SO(d+1)$ invariant solutions of the classical vacuum Einstein equations in $p+d+3$ dimensions. In the limit $d \\to \\infty$ with $p$ held fixed we construct a class of solutions labelled by the shape of a membrane (the event horizon), together with a `velocity' field that lives on this membrane. We demonstrate that our metrics can be corrected to nonsingular solutions at first sub-leading order in $\\frac{1}{d}$ if and only if the membrane shape and `velocity' field obey equations of motion which we determine. These equations define a well posed initial value problem for the membrane s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06613","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":""},"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":"2026-05-18T01:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RFqwo/fij0PLVAc5vqDymdlTzGmybgD7lMVkSU2aaUY0mm8yMXzNgfxSGDiQ4H+GG7kV5fWy/G9MPCX+jzrxBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:11:29.504248Z"},"content_sha256":"80aa807b7e560b5d738decc294cbd65d84b698f68abd57a7ee15b27112ab5d7c","schema_version":"1.0","event_id":"sha256:80aa807b7e560b5d738decc294cbd65d84b698f68abd57a7ee15b27112ab5d7c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CUNM7WNEUGBURPINXSOL74UZQN/bundle.json","state_url":"https://pith.science/pith/CUNM7WNEUGBURPINXSOL74UZQN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CUNM7WNEUGBURPINXSOL74UZQN/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":"2026-06-02T18:11:29Z","links":{"resolver":"https://pith.science/pith/CUNM7WNEUGBURPINXSOL74UZQN","bundle":"https://pith.science/pith/CUNM7WNEUGBURPINXSOL74UZQN/bundle.json","state":"https://pith.science/pith/CUNM7WNEUGBURPINXSOL74UZQN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CUNM7WNEUGBURPINXSOL74UZQN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CUNM7WNEUGBURPINXSOL74UZQN","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":"c1f046485c1359ce4e780a708be0419eea1226323c670a2656c266a03645025b","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-24T19:43:25Z","title_canon_sha256":"c214d1c4e4e265bc2dd2de0a4f137413cd8b9993f12031c60b6d973648c717bc"},"schema_version":"1.0","source":{"id":"1504.06613","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06613","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06613v4","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06613","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"CUNM7WNEUGBU","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CUNM7WNEUGBURPIN","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CUNM7WNE","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:80aa807b7e560b5d738decc294cbd65d84b698f68abd57a7ee15b27112ab5d7c","target":"graph","created_at":"2026-05-18T01:15:52Z","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 $SO(d+1)$ invariant solutions of the classical vacuum Einstein equations in $p+d+3$ dimensions. In the limit $d \\to \\infty$ with $p$ held fixed we construct a class of solutions labelled by the shape of a membrane (the event horizon), together with a `velocity' field that lives on this membrane. We demonstrate that our metrics can be corrected to nonsingular solutions at first sub-leading order in $\\frac{1}{d}$ if and only if the membrane shape and `velocity' field obey equations of motion which we determine. These equations define a well posed initial value problem for the membrane s","authors_text":"Anandita De, Arunabha Saha, Ravi Mohan, Sayantani Bhattacharyya, Shiraz Minwalla","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-24T19:43:25Z","title":"A membrane paradigm at large D"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06613","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:c90da2021f17519cf1a7b6c9df71f9478e8435203db91b1bcac9c0028c6ffe94","target":"record","created_at":"2026-05-18T01:15:52Z","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":"c1f046485c1359ce4e780a708be0419eea1226323c670a2656c266a03645025b","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-24T19:43:25Z","title_canon_sha256":"c214d1c4e4e265bc2dd2de0a4f137413cd8b9993f12031c60b6d973648c717bc"},"schema_version":"1.0","source":{"id":"1504.06613","kind":"arxiv","version":4}},"canonical_sha256":"151acfd9a4a18348bd0dbc9cbff29983488d4214c430100e8e458f0cb9890db2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"151acfd9a4a18348bd0dbc9cbff29983488d4214c430100e8e458f0cb9890db2","first_computed_at":"2026-05-18T01:15:52.971950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:52.971950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/dhMzG0ZTOJSfLlUWN959OFVXok3ez2Gz27e22NhnD//PpBPMF05j+nINSo+yqFjjvJqtN0BzaLstiDwXx+2DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:52.972447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.06613","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c90da2021f17519cf1a7b6c9df71f9478e8435203db91b1bcac9c0028c6ffe94","sha256:80aa807b7e560b5d738decc294cbd65d84b698f68abd57a7ee15b27112ab5d7c"],"state_sha256":"30877ea5562898975ed24689022acb754d324086f17ec5a28c13f6d5b6782853"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y7KVE4klyyWSSAwI9PAymy6xLd5iPfj7aiCA6XF5mMiW26wVCsY51PEOqANnfCF0fcWavLJMG55/qAhDtlctAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T18:11:29.506424Z","bundle_sha256":"f616e6c62e05297ab984ccf90b8faa5cc96b94bcc2727c302a076840449a41fa"}}