{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:EJGHBTPQG2UEK3RQAQXHIN7LX5","short_pith_number":"pith:EJGHBTPQ","canonical_record":{"source":{"id":"2103.07624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-03-13T05:52:51Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bbc22fa1aad37a641c8d4aaa873521012b789554d35d0ec4d90c1f10ad4a7f74","abstract_canon_sha256":"a37012de7d6e307f43912ac2b92bfa5600323dfba1d3c8f503979a478dbf115f"},"schema_version":"1.0"},"canonical_sha256":"224c70cdf036a8456e30042e7437ebbf465b3fcd40165f5b811c735404208fca","source":{"kind":"arxiv","id":"2103.07624","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.07624","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"arxiv_version","alias_value":"2103.07624v1","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.07624","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"pith_short_12","alias_value":"EJGHBTPQG2UE","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"pith_short_16","alias_value":"EJGHBTPQG2UEK3RQ","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"pith_short_8","alias_value":"EJGHBTPQ","created_at":"2026-07-05T03:38:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:EJGHBTPQG2UEK3RQAQXHIN7LX5","target":"record","payload":{"canonical_record":{"source":{"id":"2103.07624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-03-13T05:52:51Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bbc22fa1aad37a641c8d4aaa873521012b789554d35d0ec4d90c1f10ad4a7f74","abstract_canon_sha256":"a37012de7d6e307f43912ac2b92bfa5600323dfba1d3c8f503979a478dbf115f"},"schema_version":"1.0"},"canonical_sha256":"224c70cdf036a8456e30042e7437ebbf465b3fcd40165f5b811c735404208fca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:38:16.415360Z","signature_b64":"msa03OkQBjPcbgcFgINyflVNSuQ4MAZYqJovTt7GaFwYzCkjgQcukAe1qrMdUrium2PjPvW6469vlElyw/v0Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"224c70cdf036a8456e30042e7437ebbf465b3fcd40165f5b811c735404208fca","last_reissued_at":"2026-07-05T03:38:16.414890Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:38:16.414890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.07624","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":"2026-07-05T03:38:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4DMbubTmvajqxTHzyKf4rfrNnaTi5v+jw43jFlPhCsKAFDagDfi3/kPcm5u+rbXngfw5T29myMa7LaZAk9ZgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:28:20.246362Z"},"content_sha256":"29e725f32dfed6a8558bf5534d3577d0a33e2c607cbafa59322f5e561f1f12f6","schema_version":"1.0","event_id":"sha256:29e725f32dfed6a8558bf5534d3577d0a33e2c607cbafa59322f5e561f1f12f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:EJGHBTPQG2UEK3RQAQXHIN7LX5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scrambling with conservation law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"cond-mat.stat-mech","authors_text":"Brian Swingle, Gong Cheng","submitted_at":"2021-03-13T05:52:51Z","abstract_excerpt":"In this article we discuss the impact of conservation laws, specifically $U(1)$ charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late time fully scrambled state. As a model, we consider a $d+1$ dimensional ($d\\geq 2$) holographic conformal field theory with Einstein gravity dual. Using the holographic dictionary, we calculate out-of-time-order-correlators (OTOCs) that involve the conserved $U(1)$ current operator or energy-momentum tensor. We show that these OTOCs approach their late time value as a power law in time, with a universal expon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.07624","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/2103.07624/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":"2026-07-05T03:38:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AN8iMiZtk29v59QXXIQL3gH7iSTMWe4xnpJhIoPtgwQl+6G7hJWWY9eNPGNs2rMMdhAIT1wh3LHCl2oLzRkBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T00:28:20.246771Z"},"content_sha256":"fb22e1642399a3c442a213112897c903aa08fd8117ac85332970506f3572d814","schema_version":"1.0","event_id":"sha256:fb22e1642399a3c442a213112897c903aa08fd8117ac85332970506f3572d814"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EJGHBTPQG2UEK3RQAQXHIN7LX5/bundle.json","state_url":"https://pith.science/pith/EJGHBTPQG2UEK3RQAQXHIN7LX5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EJGHBTPQG2UEK3RQAQXHIN7LX5/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":"2026-08-18T00:28:20Z","links":{"resolver":"https://pith.science/pith/EJGHBTPQG2UEK3RQAQXHIN7LX5","bundle":"https://pith.science/pith/EJGHBTPQG2UEK3RQAQXHIN7LX5/bundle.json","state":"https://pith.science/pith/EJGHBTPQG2UEK3RQAQXHIN7LX5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EJGHBTPQG2UEK3RQAQXHIN7LX5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:EJGHBTPQG2UEK3RQAQXHIN7LX5","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":"a37012de7d6e307f43912ac2b92bfa5600323dfba1d3c8f503979a478dbf115f","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-03-13T05:52:51Z","title_canon_sha256":"bbc22fa1aad37a641c8d4aaa873521012b789554d35d0ec4d90c1f10ad4a7f74"},"schema_version":"1.0","source":{"id":"2103.07624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.07624","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"arxiv_version","alias_value":"2103.07624v1","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.07624","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"pith_short_12","alias_value":"EJGHBTPQG2UE","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"pith_short_16","alias_value":"EJGHBTPQG2UEK3RQ","created_at":"2026-07-05T03:38:16Z"},{"alias_kind":"pith_short_8","alias_value":"EJGHBTPQ","created_at":"2026-07-05T03:38:16Z"}],"graph_snapshots":[{"event_id":"sha256:fb22e1642399a3c442a213112897c903aa08fd8117ac85332970506f3572d814","target":"graph","created_at":"2026-07-05T03:38:16Z","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/2103.07624/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article we discuss the impact of conservation laws, specifically $U(1)$ charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late time fully scrambled state. As a model, we consider a $d+1$ dimensional ($d\\geq 2$) holographic conformal field theory with Einstein gravity dual. Using the holographic dictionary, we calculate out-of-time-order-correlators (OTOCs) that involve the conserved $U(1)$ current operator or energy-momentum tensor. We show that these OTOCs approach their late time value as a power law in time, with a universal expon","authors_text":"Brian Swingle, Gong Cheng","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-03-13T05:52:51Z","title":"Scrambling with conservation law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.07624","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":"sha256:29e725f32dfed6a8558bf5534d3577d0a33e2c607cbafa59322f5e561f1f12f6","target":"record","created_at":"2026-07-05T03:38:16Z","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":"a37012de7d6e307f43912ac2b92bfa5600323dfba1d3c8f503979a478dbf115f","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-03-13T05:52:51Z","title_canon_sha256":"bbc22fa1aad37a641c8d4aaa873521012b789554d35d0ec4d90c1f10ad4a7f74"},"schema_version":"1.0","source":{"id":"2103.07624","kind":"arxiv","version":1}},"canonical_sha256":"224c70cdf036a8456e30042e7437ebbf465b3fcd40165f5b811c735404208fca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"224c70cdf036a8456e30042e7437ebbf465b3fcd40165f5b811c735404208fca","first_computed_at":"2026-07-05T03:38:16.414890Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:38:16.414890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"msa03OkQBjPcbgcFgINyflVNSuQ4MAZYqJovTt7GaFwYzCkjgQcukAe1qrMdUrium2PjPvW6469vlElyw/v0Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T03:38:16.415360Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.07624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29e725f32dfed6a8558bf5534d3577d0a33e2c607cbafa59322f5e561f1f12f6","sha256:fb22e1642399a3c442a213112897c903aa08fd8117ac85332970506f3572d814"],"state_sha256":"0c1e7105fb52b38d3dd9a72f35dd3da04c10d85f2f82afd55d1fc608ae0c2baa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"whCEw4Hhrqzub78640NUsgj4xga5fCp+pZeBxTfag9c6XXLdakJNBv6aw0TXnpJwh4eg4BvoHWq0eNoAwwv2CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T00:28:20.249961Z","bundle_sha256":"360dbfd12350436feb5731370e70f0ba34f42cf866a97efae2b53bcdb7761a8c"}}