{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:TJSRXUFKSDVE7272UJQBUOEHHD","short_pith_number":"pith:TJSRXUFK","canonical_record":{"source":{"id":"1912.11063","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-12-23T19:02:40Z","cross_cats_sorted":["cond-mat.dis-nn","hep-th","nlin.CD"],"title_canon_sha256":"6f8b01f94306da010ac439bed7fa5afdedaf9657333932693aa1edaaa1d44418","abstract_canon_sha256":"b88d1d228222816548b7e271cfb40d86bf64bdd22d01ea3ba7244ee48635de22"},"schema_version":"1.0"},"canonical_sha256":"9a651bd0aa90ea4febfaa2601a388738ca128591d4d234756cf085fde3143c72","source":{"kind":"arxiv","id":"1912.11063","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.11063","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"1912.11063v2","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.11063","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"TJSRXUFKSDVE","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"pith_short_16","alias_value":"TJSRXUFKSDVE7272","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"pith_short_8","alias_value":"TJSRXUFK","created_at":"2026-07-05T00:53:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:TJSRXUFKSDVE7272UJQBUOEHHD","target":"record","payload":{"canonical_record":{"source":{"id":"1912.11063","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-12-23T19:02:40Z","cross_cats_sorted":["cond-mat.dis-nn","hep-th","nlin.CD"],"title_canon_sha256":"6f8b01f94306da010ac439bed7fa5afdedaf9657333932693aa1edaaa1d44418","abstract_canon_sha256":"b88d1d228222816548b7e271cfb40d86bf64bdd22d01ea3ba7244ee48635de22"},"schema_version":"1.0"},"canonical_sha256":"9a651bd0aa90ea4febfaa2601a388738ca128591d4d234756cf085fde3143c72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:53:52.620160Z","signature_b64":"yYf7gtFmJJ+uI8g5s8myaXQGN63CARfOoUqjSb/tf2Lt8hW38Bm/54bEpje+iw8BJG+nLBJpRmCwmzo3ajRmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a651bd0aa90ea4febfaa2601a388738ca128591d4d234756cf085fde3143c72","last_reissued_at":"2026-07-05T00:53:52.619764Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:53:52.619764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.11063","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":"2026-07-05T00:53:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uNPMohP/7Qlr8rp4djzsX0e6c0ip0vts3nsl7s/TC1c9fp3szH9vh0B/r/IFNk+grItYGhpGutL/s6sdXld+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T15:00:09.220361Z"},"content_sha256":"400ed804b6301d772740813b934c07291861a2455f2787e069f9d8733f992c17","schema_version":"1.0","event_id":"sha256:400ed804b6301d772740813b934c07291861a2455f2787e069f9d8733f992c17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:TJSRXUFKSDVE7272UJQBUOEHHD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Does scrambling equal chaos?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","hep-th","nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Thomas Scaffidi, Tianrui Xu, Xiangyu Cao","submitted_at":"2019-12-23T19:02:40Z","abstract_excerpt":"Focusing on semiclassical systems, we show that the parametrically long exponential growth of out-of-time order correlators (OTOCs), also known as scrambling, does not necessitate chaos. Indeed, scrambling can simply result from the presence of unstable fixed points in phase space, even in a classically integrable model. We derive a lower bound on the OTOC Lyapunov exponent which depends only on local properties of such fixed points. We present several models for which this bound is tight, i.e. for which scrambling is dominated by the local dynamics around the fixed points. We propose that the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.11063","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1912.11063/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":"2026-07-05T00:53:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fVhwAfss7KrwR0iKVEfI0yf7ZPwgKjrCNH7Mlk3pqZo8wsI807XC6FKnbiJUv3jdg/dRmbgBuTUJuI71csC6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T15:00:09.220902Z"},"content_sha256":"415d64d4833f158744ccfcc8a53ecf72003c8cabdad132532f9805c1187b491a","schema_version":"1.0","event_id":"sha256:415d64d4833f158744ccfcc8a53ecf72003c8cabdad132532f9805c1187b491a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TJSRXUFKSDVE7272UJQBUOEHHD/bundle.json","state_url":"https://pith.science/pith/TJSRXUFKSDVE7272UJQBUOEHHD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TJSRXUFKSDVE7272UJQBUOEHHD/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":"2026-08-15T15:00:09Z","links":{"resolver":"https://pith.science/pith/TJSRXUFKSDVE7272UJQBUOEHHD","bundle":"https://pith.science/pith/TJSRXUFKSDVE7272UJQBUOEHHD/bundle.json","state":"https://pith.science/pith/TJSRXUFKSDVE7272UJQBUOEHHD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TJSRXUFKSDVE7272UJQBUOEHHD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TJSRXUFKSDVE7272UJQBUOEHHD","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":"b88d1d228222816548b7e271cfb40d86bf64bdd22d01ea3ba7244ee48635de22","cross_cats_sorted":["cond-mat.dis-nn","hep-th","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-12-23T19:02:40Z","title_canon_sha256":"6f8b01f94306da010ac439bed7fa5afdedaf9657333932693aa1edaaa1d44418"},"schema_version":"1.0","source":{"id":"1912.11063","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.11063","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"1912.11063v2","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.11063","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"TJSRXUFKSDVE","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"pith_short_16","alias_value":"TJSRXUFKSDVE7272","created_at":"2026-07-05T00:53:52Z"},{"alias_kind":"pith_short_8","alias_value":"TJSRXUFK","created_at":"2026-07-05T00:53:52Z"}],"graph_snapshots":[{"event_id":"sha256:415d64d4833f158744ccfcc8a53ecf72003c8cabdad132532f9805c1187b491a","target":"graph","created_at":"2026-07-05T00:53:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.11063/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Focusing on semiclassical systems, we show that the parametrically long exponential growth of out-of-time order correlators (OTOCs), also known as scrambling, does not necessitate chaos. Indeed, scrambling can simply result from the presence of unstable fixed points in phase space, even in a classically integrable model. We derive a lower bound on the OTOC Lyapunov exponent which depends only on local properties of such fixed points. We present several models for which this bound is tight, i.e. for which scrambling is dominated by the local dynamics around the fixed points. We propose that the","authors_text":"Thomas Scaffidi, Tianrui Xu, Xiangyu Cao","cross_cats":["cond-mat.dis-nn","hep-th","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-12-23T19:02:40Z","title":"Does scrambling equal chaos?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.11063","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":"sha256:400ed804b6301d772740813b934c07291861a2455f2787e069f9d8733f992c17","target":"record","created_at":"2026-07-05T00:53:52Z","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":"b88d1d228222816548b7e271cfb40d86bf64bdd22d01ea3ba7244ee48635de22","cross_cats_sorted":["cond-mat.dis-nn","hep-th","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-12-23T19:02:40Z","title_canon_sha256":"6f8b01f94306da010ac439bed7fa5afdedaf9657333932693aa1edaaa1d44418"},"schema_version":"1.0","source":{"id":"1912.11063","kind":"arxiv","version":2}},"canonical_sha256":"9a651bd0aa90ea4febfaa2601a388738ca128591d4d234756cf085fde3143c72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a651bd0aa90ea4febfaa2601a388738ca128591d4d234756cf085fde3143c72","first_computed_at":"2026-07-05T00:53:52.619764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:53:52.619764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yYf7gtFmJJ+uI8g5s8myaXQGN63CARfOoUqjSb/tf2Lt8hW38Bm/54bEpje+iw8BJG+nLBJpRmCwmzo3ajRmCw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:53:52.620160Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.11063","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:400ed804b6301d772740813b934c07291861a2455f2787e069f9d8733f992c17","sha256:415d64d4833f158744ccfcc8a53ecf72003c8cabdad132532f9805c1187b491a"],"state_sha256":"196142ad80aac43ac2692c70d762dc68f712519b9cbf53818bc79244923cc25b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lYy/W5YTvfSlYwoQUG1Jifo1RZrfdS3nsWH+Szd9QxNH+948ITSokpFQ2t9wC+my8qaTRNXJmJ1MAkFz9heMCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T15:00:09.225634Z","bundle_sha256":"b7a739071af47e15871227f26f348a04986d576e8d06af9fbe11ca7f154803e9"}}