{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RIITHEPRZAANHDBLD4RKERTCLC","short_pith_number":"pith:RIITHEPR","canonical_record":{"source":{"id":"1307.7630","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-29T16:15:08Z","cross_cats_sorted":[],"title_canon_sha256":"c07c49effb3cd83d22dd4dee2b25fe389f584aed20d95981fd33b4de54749c12","abstract_canon_sha256":"a0b559108017afb2108299c445fc4cc755e248de32f665a10f4badf570d36862"},"schema_version":"1.0"},"canonical_sha256":"8a113391f1c800d38c2b1f22a24662588d1f65b5e84c60f2899dba3497fe393c","source":{"kind":"arxiv","id":"1307.7630","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7630","created_at":"2026-05-18T03:17:22Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7630v1","created_at":"2026-05-18T03:17:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7630","created_at":"2026-05-18T03:17:22Z"},{"alias_kind":"pith_short_12","alias_value":"RIITHEPRZAAN","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RIITHEPRZAANHDBL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RIITHEPR","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RIITHEPRZAANHDBLD4RKERTCLC","target":"record","payload":{"canonical_record":{"source":{"id":"1307.7630","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-29T16:15:08Z","cross_cats_sorted":[],"title_canon_sha256":"c07c49effb3cd83d22dd4dee2b25fe389f584aed20d95981fd33b4de54749c12","abstract_canon_sha256":"a0b559108017afb2108299c445fc4cc755e248de32f665a10f4badf570d36862"},"schema_version":"1.0"},"canonical_sha256":"8a113391f1c800d38c2b1f22a24662588d1f65b5e84c60f2899dba3497fe393c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:22.833593Z","signature_b64":"2/aCJVqYUXk9ibwcIwlQzSsOoYIPrOq5QYl6iT0ibCjISI1A2gJz9Lma6KJ3NLmDBBaTPLEqVRXtCqPqrG7cAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a113391f1c800d38c2b1f22a24662588d1f65b5e84c60f2899dba3497fe393c","last_reissued_at":"2026-05-18T03:17:22.832720Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:22.832720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.7630","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":"2026-05-18T03:17:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YWumUu1Og0FQpGOE8UIaJHgcqnzhqtGg4ShTgyWo1mvf5j6T3fjzKQw3udWR1b0MPYckQ6fkhnoMQFGtky35Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:52:22.818181Z"},"content_sha256":"573a354c1756bbc393fca78e27177542d9e8424488ce5c699196f6921151a149","schema_version":"1.0","event_id":"sha256:573a354c1756bbc393fca78e27177542d9e8424488ce5c699196f6921151a149"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RIITHEPRZAANHDBLD4RKERTCLC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black Hole's Information Group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cesar Gomez, Gia Dvali","submitted_at":"2013-07-29T16:15:08Z","abstract_excerpt":"We suggest a group-theoretic approach to black holes, which is remotely analogous to the eightfold-way for mesons. As the black hole symmetry group we single out the group SO(2N+1) with N the black hole entropy. The Hilbert space is identified with the spinor irrep of SO(2N+1). Evaporation processes of m-quanta are associated to the breaking SO(2N+1) to SO(2(N-m)+1) X SO(2m). Under these assumptions we get a group-theoretic understanding of the evaporation process and of some typical time scales of black holes, such as Page's and scrambling times. We also discuss from the group theory point of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7630","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":"2026-05-18T03:17:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vb8MB5IkS3xWI4FbrzNtlqPrszwRPAxbtmEItFXGgsYKTGFIT5QjoiWrYtYo/s5MqvLiZ3yYAdV1GZRtJ0g1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:52:22.818930Z"},"content_sha256":"81fa9fae7db09597c7937113e3ea3362a097bf8596814387b87dc14d90ff886d","schema_version":"1.0","event_id":"sha256:81fa9fae7db09597c7937113e3ea3362a097bf8596814387b87dc14d90ff886d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RIITHEPRZAANHDBLD4RKERTCLC/bundle.json","state_url":"https://pith.science/pith/RIITHEPRZAANHDBLD4RKERTCLC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RIITHEPRZAANHDBLD4RKERTCLC/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":"2026-05-26T18:52:22Z","links":{"resolver":"https://pith.science/pith/RIITHEPRZAANHDBLD4RKERTCLC","bundle":"https://pith.science/pith/RIITHEPRZAANHDBLD4RKERTCLC/bundle.json","state":"https://pith.science/pith/RIITHEPRZAANHDBLD4RKERTCLC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RIITHEPRZAANHDBLD4RKERTCLC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RIITHEPRZAANHDBLD4RKERTCLC","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":"a0b559108017afb2108299c445fc4cc755e248de32f665a10f4badf570d36862","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-29T16:15:08Z","title_canon_sha256":"c07c49effb3cd83d22dd4dee2b25fe389f584aed20d95981fd33b4de54749c12"},"schema_version":"1.0","source":{"id":"1307.7630","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7630","created_at":"2026-05-18T03:17:22Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7630v1","created_at":"2026-05-18T03:17:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7630","created_at":"2026-05-18T03:17:22Z"},{"alias_kind":"pith_short_12","alias_value":"RIITHEPRZAAN","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RIITHEPRZAANHDBL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RIITHEPR","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:81fa9fae7db09597c7937113e3ea3362a097bf8596814387b87dc14d90ff886d","target":"graph","created_at":"2026-05-18T03:17:22Z","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 suggest a group-theoretic approach to black holes, which is remotely analogous to the eightfold-way for mesons. As the black hole symmetry group we single out the group SO(2N+1) with N the black hole entropy. The Hilbert space is identified with the spinor irrep of SO(2N+1). Evaporation processes of m-quanta are associated to the breaking SO(2N+1) to SO(2(N-m)+1) X SO(2m). Under these assumptions we get a group-theoretic understanding of the evaporation process and of some typical time scales of black holes, such as Page's and scrambling times. We also discuss from the group theory point of","authors_text":"Cesar Gomez, Gia Dvali","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-29T16:15:08Z","title":"Black Hole's Information Group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7630","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":"sha256:573a354c1756bbc393fca78e27177542d9e8424488ce5c699196f6921151a149","target":"record","created_at":"2026-05-18T03:17:22Z","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":"a0b559108017afb2108299c445fc4cc755e248de32f665a10f4badf570d36862","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-29T16:15:08Z","title_canon_sha256":"c07c49effb3cd83d22dd4dee2b25fe389f584aed20d95981fd33b4de54749c12"},"schema_version":"1.0","source":{"id":"1307.7630","kind":"arxiv","version":1}},"canonical_sha256":"8a113391f1c800d38c2b1f22a24662588d1f65b5e84c60f2899dba3497fe393c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a113391f1c800d38c2b1f22a24662588d1f65b5e84c60f2899dba3497fe393c","first_computed_at":"2026-05-18T03:17:22.832720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:22.832720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2/aCJVqYUXk9ibwcIwlQzSsOoYIPrOq5QYl6iT0ibCjISI1A2gJz9Lma6KJ3NLmDBBaTPLEqVRXtCqPqrG7cAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:22.833593Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7630","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:573a354c1756bbc393fca78e27177542d9e8424488ce5c699196f6921151a149","sha256:81fa9fae7db09597c7937113e3ea3362a097bf8596814387b87dc14d90ff886d"],"state_sha256":"aaa1580c9dfad13b21a2f200d4b8e4ee3b03f116d5e99be291f56e1a95b07f95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"djM6Ot0UEUGe05u9OZrN9fqlRETx6L43R8+cHCGB6Fb/eN7I5CirgrMi+ejEO1rn3FpDlv2kFSICt1fxuewUCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:52:22.823249Z","bundle_sha256":"a1964e93ffdceb8967e166518d11a2d640e1e66b8fae5107a35973b136c8b736"}}