{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:GUIBTVVLBWOQPNZIH3AUUNH4RI","short_pith_number":"pith:GUIBTVVL","canonical_record":{"source":{"id":"hep-th/9304148","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-04-28T17:33:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f846a010e436f2f170195d7aac609a6d77fab316a79a4ddb997f1f7d6a7696a6","abstract_canon_sha256":"caeec6d3f32b7b041448735cd57334c26aaf6c9979699170143524910abf642f"},"schema_version":"1.0"},"canonical_sha256":"351019d6ab0d9d07b7283ec14a34fc8a00d051c8ffa29fe12872c27927beadfd","source":{"kind":"arxiv","id":"hep-th/9304148","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9304148","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9304148v1","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9304148","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"GUIBTVVLBWOQ","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"pith_short_16","alias_value":"GUIBTVVLBWOQPNZI","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"pith_short_8","alias_value":"GUIBTVVL","created_at":"2026-07-04T15:50:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:GUIBTVVLBWOQPNZIH3AUUNH4RI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9304148","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-04-28T17:33:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f846a010e436f2f170195d7aac609a6d77fab316a79a4ddb997f1f7d6a7696a6","abstract_canon_sha256":"caeec6d3f32b7b041448735cd57334c26aaf6c9979699170143524910abf642f"},"schema_version":"1.0"},"canonical_sha256":"351019d6ab0d9d07b7283ec14a34fc8a00d051c8ffa29fe12872c27927beadfd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:50:07.953093Z","signature_b64":"v7SZwNIWg+nCLr2JgVgYY1ivdWx9oyEtr0jfzgO1iMcGOH+BbNXuvh5yIHgmH9KP9CBqzh+jDfh6vGrIWxHBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"351019d6ab0d9d07b7283ec14a34fc8a00d051c8ffa29fe12872c27927beadfd","last_reissued_at":"2026-07-04T15:50:07.952647Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:50:07.952647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9304148","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":"2026-07-04T15:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FMKpvSmBNmxO/5BpjarB92Z9dZS9zNX0EDImEEJcR/byKdCJwy9xwL5HqpEXa5hiErsN75GzpIQUewWncSCqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:20:43.651139Z"},"content_sha256":"3de0e6ce19881c370193e85b820575f11410664c881b79d1cd939b390575d94e","schema_version":"1.0","event_id":"sha256:3de0e6ce19881c370193e85b820575f11410664c881b79d1cd939b390575d94e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:GUIBTVVLBWOQPNZIH3AUUNH4RI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical Analysis of Black Hole Evaporation","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Andrew Strominger, Tsvi Piran","submitted_at":"1993-04-28T17:33:26Z","abstract_excerpt":"Black hole formation/evaporation in two-dimensional dilaton gravity can be described, in the limit where the number $N$ of matter fields becomes large, by a set of second-order partial differential equations. In this paper we solve these equations numerically. It is shown that, contrary to some previous suggestions, black holes evaporate completely a finite time after formation. A boundary condition is required to evolve the system beyond the naked singularity at the evaporation endpoint. It is argued that this may be naturally chosen so as to restore the system to the vacuum. The analysis als"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9304148","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9304148/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":"2026-07-04T15:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y6BxB3EvuxAPYOmj/i7P85S6JXvNz4oj/z00gNQpvl7UOg+qXYs09bBI5QJ2E2y7Q1Nt/yEtaMr3VloljVHiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:20:43.651883Z"},"content_sha256":"7f53c25b3e9d73e8d1a59c45f4d85d57a78432b1b17f0fedbbad44b324b2d00d","schema_version":"1.0","event_id":"sha256:7f53c25b3e9d73e8d1a59c45f4d85d57a78432b1b17f0fedbbad44b324b2d00d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GUIBTVVLBWOQPNZIH3AUUNH4RI/bundle.json","state_url":"https://pith.science/pith/GUIBTVVLBWOQPNZIH3AUUNH4RI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GUIBTVVLBWOQPNZIH3AUUNH4RI/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":"2026-08-12T15:20:43Z","links":{"resolver":"https://pith.science/pith/GUIBTVVLBWOQPNZIH3AUUNH4RI","bundle":"https://pith.science/pith/GUIBTVVLBWOQPNZIH3AUUNH4RI/bundle.json","state":"https://pith.science/pith/GUIBTVVLBWOQPNZIH3AUUNH4RI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GUIBTVVLBWOQPNZIH3AUUNH4RI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:GUIBTVVLBWOQPNZIH3AUUNH4RI","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":"caeec6d3f32b7b041448735cd57334c26aaf6c9979699170143524910abf642f","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1993-04-28T17:33:26Z","title_canon_sha256":"f846a010e436f2f170195d7aac609a6d77fab316a79a4ddb997f1f7d6a7696a6"},"schema_version":"1.0","source":{"id":"hep-th/9304148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9304148","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9304148v1","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9304148","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"GUIBTVVLBWOQ","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"pith_short_16","alias_value":"GUIBTVVLBWOQPNZI","created_at":"2026-07-04T15:50:07Z"},{"alias_kind":"pith_short_8","alias_value":"GUIBTVVL","created_at":"2026-07-04T15:50:07Z"}],"graph_snapshots":[{"event_id":"sha256:7f53c25b3e9d73e8d1a59c45f4d85d57a78432b1b17f0fedbbad44b324b2d00d","target":"graph","created_at":"2026-07-04T15:50:07Z","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/hep-th/9304148/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Black hole formation/evaporation in two-dimensional dilaton gravity can be described, in the limit where the number $N$ of matter fields becomes large, by a set of second-order partial differential equations. In this paper we solve these equations numerically. It is shown that, contrary to some previous suggestions, black holes evaporate completely a finite time after formation. A boundary condition is required to evolve the system beyond the naked singularity at the evaporation endpoint. It is argued that this may be naturally chosen so as to restore the system to the vacuum. The analysis als","authors_text":"Andrew Strominger, Tsvi Piran","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-04-28T17:33:26Z","title":"Numerical Analysis of Black Hole Evaporation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9304148","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":"sha256:3de0e6ce19881c370193e85b820575f11410664c881b79d1cd939b390575d94e","target":"record","created_at":"2026-07-04T15:50:07Z","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":"caeec6d3f32b7b041448735cd57334c26aaf6c9979699170143524910abf642f","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1993-04-28T17:33:26Z","title_canon_sha256":"f846a010e436f2f170195d7aac609a6d77fab316a79a4ddb997f1f7d6a7696a6"},"schema_version":"1.0","source":{"id":"hep-th/9304148","kind":"arxiv","version":1}},"canonical_sha256":"351019d6ab0d9d07b7283ec14a34fc8a00d051c8ffa29fe12872c27927beadfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"351019d6ab0d9d07b7283ec14a34fc8a00d051c8ffa29fe12872c27927beadfd","first_computed_at":"2026-07-04T15:50:07.952647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:50:07.952647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v7SZwNIWg+nCLr2JgVgYY1ivdWx9oyEtr0jfzgO1iMcGOH+BbNXuvh5yIHgmH9KP9CBqzh+jDfh6vGrIWxHBCg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:50:07.953093Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9304148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3de0e6ce19881c370193e85b820575f11410664c881b79d1cd939b390575d94e","sha256:7f53c25b3e9d73e8d1a59c45f4d85d57a78432b1b17f0fedbbad44b324b2d00d"],"state_sha256":"6eafe4acb0e89c64799fc12db2d41bcb50161948e04b3d1dcdc924e2c321793e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gEGbfj/qxb09Q5eA3pMX4NkG4zNRFveevfTbBi49GLyR1108uc/n11xApsKiis27bHS58PmskPsfbjT7WTbXAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T15:20:43.660172Z","bundle_sha256":"ae5f2fb9e767780bcf35fb33a444e45fc43869d2ae45be5789ddff287179c2c8"}}