{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WBUNZINQ2PHOI7UD7OGXBDRJDV","short_pith_number":"pith:WBUNZINQ","canonical_record":{"source":{"id":"1712.04963","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-13T19:07:32Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc","nlin.CD","quant-ph"],"title_canon_sha256":"2cf1b8d996fb9158a20765008c6b675fc18f2ab2f46ec958221e51cacd192870","abstract_canon_sha256":"868503b100220b338ab9979236f32f0cb852a32156acfcc86a05c045777eebfc"},"schema_version":"1.0"},"canonical_sha256":"b068dca1b0d3cee47e83fb8d708e291d79dc43af47f3a8972c37c00e58c98ca0","source":{"kind":"arxiv","id":"1712.04963","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04963","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04963v2","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04963","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"pith_short_12","alias_value":"WBUNZINQ2PHO","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WBUNZINQ2PHOI7UD","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WBUNZINQ","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WBUNZINQ2PHOI7UD7OGXBDRJDV","target":"record","payload":{"canonical_record":{"source":{"id":"1712.04963","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-13T19:07:32Z","cross_cats_sorted":["cond-mat.stat-mech","gr-qc","nlin.CD","quant-ph"],"title_canon_sha256":"2cf1b8d996fb9158a20765008c6b675fc18f2ab2f46ec958221e51cacd192870","abstract_canon_sha256":"868503b100220b338ab9979236f32f0cb852a32156acfcc86a05c045777eebfc"},"schema_version":"1.0"},"canonical_sha256":"b068dca1b0d3cee47e83fb8d708e291d79dc43af47f3a8972c37c00e58c98ca0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:05.154141Z","signature_b64":"AJTlx4ouXFILzAaF6fZHKq4y5BaQH6mVcijxncgKsdERMfDdPW4iZhFnwSQ0fBpjhI56e4jn07oopp4mYyZpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b068dca1b0d3cee47e83fb8d708e291d79dc43af47f3a8972c37c00e58c98ca0","last_reissued_at":"2026-05-18T00:20:05.153441Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:05.153441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.04963","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H9ToAe0HPq8H58K2oAPKWifiKJbEVy/ollCUoZLBvvZ3tgwh9cmJliBBzRUxh9DeYjSODe+VPnTyAWnIbn5LDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:20:15.116896Z"},"content_sha256":"5af0c95b667ab587be343af827911133924021b75c4b497aa0480959d594057f","schema_version":"1.0","event_id":"sha256:5af0c95b667ab587be343af827911133924021b75c4b497aa0480959d594057f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WBUNZINQ2PHOI7UD7OGXBDRJDV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fine-Grained Chaos in $AdS_2$ Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","gr-qc","nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Felix M. Haehl, Moshe Rozali","submitted_at":"2017-12-13T19:07:32Z","abstract_excerpt":"Quantum chaos can be characterized by an exponential growth of the thermal out-of-time-order four-point function up to a scrambling time $\\widehat{u}_*$. We discuss generalizations of this statement for certain higher-point correlation functions. For concreteness, we study the Schwarzian theory of a one-dimensional time reparametrization mode, which describes $AdS_2$ gravity and the low-energy dynamics of the SYK model. We identify a particular set of $2k$-point functions, characterized as being both \"maximally braided\" and \"k-OTO\", which exhibit exponential growth until progressively longer t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04963","kind":"arxiv","version":2},"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":"2026-05-18T00:20:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gl298auJuKBIL8QZCUrc6+07yRhrrmd4+TD5Lp1niCsABWWcxbLg3WmOVp2PMeOeJU3EWgvaccb7uCzL45OCDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:20:15.117257Z"},"content_sha256":"92b82a9cfd33dd17e3459585382acbeeb199fe0fbd1e03f817eff6a653ca8b6c","schema_version":"1.0","event_id":"sha256:92b82a9cfd33dd17e3459585382acbeeb199fe0fbd1e03f817eff6a653ca8b6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WBUNZINQ2PHOI7UD7OGXBDRJDV/bundle.json","state_url":"https://pith.science/pith/WBUNZINQ2PHOI7UD7OGXBDRJDV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WBUNZINQ2PHOI7UD7OGXBDRJDV/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":"2026-06-01T07:20:15Z","links":{"resolver":"https://pith.science/pith/WBUNZINQ2PHOI7UD7OGXBDRJDV","bundle":"https://pith.science/pith/WBUNZINQ2PHOI7UD7OGXBDRJDV/bundle.json","state":"https://pith.science/pith/WBUNZINQ2PHOI7UD7OGXBDRJDV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WBUNZINQ2PHOI7UD7OGXBDRJDV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WBUNZINQ2PHOI7UD7OGXBDRJDV","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":"868503b100220b338ab9979236f32f0cb852a32156acfcc86a05c045777eebfc","cross_cats_sorted":["cond-mat.stat-mech","gr-qc","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-13T19:07:32Z","title_canon_sha256":"2cf1b8d996fb9158a20765008c6b675fc18f2ab2f46ec958221e51cacd192870"},"schema_version":"1.0","source":{"id":"1712.04963","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04963","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04963v2","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04963","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"pith_short_12","alias_value":"WBUNZINQ2PHO","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WBUNZINQ2PHOI7UD","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WBUNZINQ","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:92b82a9cfd33dd17e3459585382acbeeb199fe0fbd1e03f817eff6a653ca8b6c","target":"graph","created_at":"2026-05-18T00:20:05Z","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":"Quantum chaos can be characterized by an exponential growth of the thermal out-of-time-order four-point function up to a scrambling time $\\widehat{u}_*$. We discuss generalizations of this statement for certain higher-point correlation functions. For concreteness, we study the Schwarzian theory of a one-dimensional time reparametrization mode, which describes $AdS_2$ gravity and the low-energy dynamics of the SYK model. We identify a particular set of $2k$-point functions, characterized as being both \"maximally braided\" and \"k-OTO\", which exhibit exponential growth until progressively longer t","authors_text":"Felix M. Haehl, Moshe Rozali","cross_cats":["cond-mat.stat-mech","gr-qc","nlin.CD","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-13T19:07:32Z","title":"Fine-Grained Chaos in $AdS_2$ Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04963","kind":"arxiv","version":2},"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":"sha256:5af0c95b667ab587be343af827911133924021b75c4b497aa0480959d594057f","target":"record","created_at":"2026-05-18T00:20:05Z","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":"868503b100220b338ab9979236f32f0cb852a32156acfcc86a05c045777eebfc","cross_cats_sorted":["cond-mat.stat-mech","gr-qc","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-13T19:07:32Z","title_canon_sha256":"2cf1b8d996fb9158a20765008c6b675fc18f2ab2f46ec958221e51cacd192870"},"schema_version":"1.0","source":{"id":"1712.04963","kind":"arxiv","version":2}},"canonical_sha256":"b068dca1b0d3cee47e83fb8d708e291d79dc43af47f3a8972c37c00e58c98ca0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b068dca1b0d3cee47e83fb8d708e291d79dc43af47f3a8972c37c00e58c98ca0","first_computed_at":"2026-05-18T00:20:05.153441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:05.153441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AJTlx4ouXFILzAaF6fZHKq4y5BaQH6mVcijxncgKsdERMfDdPW4iZhFnwSQ0fBpjhI56e4jn07oopp4mYyZpCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:05.154141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.04963","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5af0c95b667ab587be343af827911133924021b75c4b497aa0480959d594057f","sha256:92b82a9cfd33dd17e3459585382acbeeb199fe0fbd1e03f817eff6a653ca8b6c"],"state_sha256":"8166af7709c348a2cda62aef939ba4b3baa43004b5d0eac059627eaa87ff661c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BxqsNTdPlMKjWhHb/BJMJfmyxOHPzBzkGWvKph03YUcWsEj+z3eYZWYizCCJBqX3lIl7EF5yi9Fq1lhd0T7NCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:20:15.119207Z","bundle_sha256":"52bda25e0834fb0d4b053309faa4f45820c25cdfa90145a7a7190a5ac1e665b7"}}