{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:NQZKJ4LWI2WDUSE7OKA7NTE2BL","short_pith_number":"pith:NQZKJ4LW","canonical_record":{"source":{"id":"1208.1107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-08-06T08:04:15Z","cross_cats_sorted":[],"title_canon_sha256":"039a5d6b29e56434fa031a377aef557ecfe6ee00513e5681c0914feb5145bb3b","abstract_canon_sha256":"c104e89c3c6cdd3a440c482e1f1e79e72f9bcf10f358eae50049cd3de79458e5"},"schema_version":"1.0"},"canonical_sha256":"6c32a4f17646ac3a489f7281f6cc9a0afc67923218d7f0b378ada6e2c27ea472","source":{"kind":"arxiv","id":"1208.1107","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1107","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1107v2","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1107","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"pith_short_12","alias_value":"NQZKJ4LWI2WD","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NQZKJ4LWI2WDUSE7","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NQZKJ4LW","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:NQZKJ4LWI2WDUSE7OKA7NTE2BL","target":"record","payload":{"canonical_record":{"source":{"id":"1208.1107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-08-06T08:04:15Z","cross_cats_sorted":[],"title_canon_sha256":"039a5d6b29e56434fa031a377aef557ecfe6ee00513e5681c0914feb5145bb3b","abstract_canon_sha256":"c104e89c3c6cdd3a440c482e1f1e79e72f9bcf10f358eae50049cd3de79458e5"},"schema_version":"1.0"},"canonical_sha256":"6c32a4f17646ac3a489f7281f6cc9a0afc67923218d7f0b378ada6e2c27ea472","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:18.833422Z","signature_b64":"vR9SGnG2H846mVqVDMMnkS8sMJOOPdoUKRH1imYlMJii5WVaPtpZwrKVZP/x1AaVsWQGMFTgiLJLZUwNMlErAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c32a4f17646ac3a489f7281f6cc9a0afc67923218d7f0b378ada6e2c27ea472","last_reissued_at":"2026-05-18T03:22:18.832722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:18.832722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.1107","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":"2026-05-18T03:22:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yc+ylDZE2sTKD+FBe+vVtyPGLW8rnLAigV6YDqBcUQx4hY58SecmT9q9i3aniMaMUJ/jAUI2tqJvi7vkxxMPCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:41:20.705568Z"},"content_sha256":"a9b3958ad85c8a7c5a8a9463c70ca401ae49ce58c094ef555bfbcc4042e56c5b","schema_version":"1.0","event_id":"sha256:a9b3958ad85c8a7c5a8a9463c70ca401ae49ce58c094ef555bfbcc4042e56c5b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:NQZKJ4LWI2WDUSE7OKA7NTE2BL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization group approach to chaotic strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Christian Beck, Hardi Veerm\\\"ae, Stefan Groote","submitted_at":"2012-08-06T08:04:15Z","abstract_excerpt":"Coupled map lattices of weakly coupled Chebychev maps, so-called chaotic strings, may have a profound physical meaning in terms of dynamical models of vacuum fluctuations in stochastically quantized field theories. Here we present analytic results for the invariant density of chaotic strings, as well as for the coupling parameter dependence of given observables of the chaotic string such as the vacuum expectation value. A highly nontrivial and selfsimilar parameter dependence is found, produced by perturbative and nonperturbative effects, for which we develop a mathematical description in term"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1107","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":"2026-05-18T03:22:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u+eTN5NgmEJt+HwppZ1Qn5yRRrHPPQxiYFds5Zuwuiv1EsZ75Ch+H0D86++cYGpnXzRBgODzxvZuhklolWvOCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:41:20.706273Z"},"content_sha256":"d876ea5ec52286d3200ebd310fe032fc293e18c832cb9cec2b87a6463b870310","schema_version":"1.0","event_id":"sha256:d876ea5ec52286d3200ebd310fe032fc293e18c832cb9cec2b87a6463b870310"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NQZKJ4LWI2WDUSE7OKA7NTE2BL/bundle.json","state_url":"https://pith.science/pith/NQZKJ4LWI2WDUSE7OKA7NTE2BL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NQZKJ4LWI2WDUSE7OKA7NTE2BL/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":"2026-05-27T14:41:20Z","links":{"resolver":"https://pith.science/pith/NQZKJ4LWI2WDUSE7OKA7NTE2BL","bundle":"https://pith.science/pith/NQZKJ4LWI2WDUSE7OKA7NTE2BL/bundle.json","state":"https://pith.science/pith/NQZKJ4LWI2WDUSE7OKA7NTE2BL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NQZKJ4LWI2WDUSE7OKA7NTE2BL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NQZKJ4LWI2WDUSE7OKA7NTE2BL","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":"c104e89c3c6cdd3a440c482e1f1e79e72f9bcf10f358eae50049cd3de79458e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-08-06T08:04:15Z","title_canon_sha256":"039a5d6b29e56434fa031a377aef557ecfe6ee00513e5681c0914feb5145bb3b"},"schema_version":"1.0","source":{"id":"1208.1107","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1107","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1107v2","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1107","created_at":"2026-05-18T03:22:18Z"},{"alias_kind":"pith_short_12","alias_value":"NQZKJ4LWI2WD","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NQZKJ4LWI2WDUSE7","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NQZKJ4LW","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:d876ea5ec52286d3200ebd310fe032fc293e18c832cb9cec2b87a6463b870310","target":"graph","created_at":"2026-05-18T03:22:18Z","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":"Coupled map lattices of weakly coupled Chebychev maps, so-called chaotic strings, may have a profound physical meaning in terms of dynamical models of vacuum fluctuations in stochastically quantized field theories. Here we present analytic results for the invariant density of chaotic strings, as well as for the coupling parameter dependence of given observables of the chaotic string such as the vacuum expectation value. A highly nontrivial and selfsimilar parameter dependence is found, produced by perturbative and nonperturbative effects, for which we develop a mathematical description in term","authors_text":"Christian Beck, Hardi Veerm\\\"ae, Stefan Groote","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-08-06T08:04:15Z","title":"Renormalization group approach to chaotic strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1107","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:a9b3958ad85c8a7c5a8a9463c70ca401ae49ce58c094ef555bfbcc4042e56c5b","target":"record","created_at":"2026-05-18T03:22:18Z","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":"c104e89c3c6cdd3a440c482e1f1e79e72f9bcf10f358eae50049cd3de79458e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-08-06T08:04:15Z","title_canon_sha256":"039a5d6b29e56434fa031a377aef557ecfe6ee00513e5681c0914feb5145bb3b"},"schema_version":"1.0","source":{"id":"1208.1107","kind":"arxiv","version":2}},"canonical_sha256":"6c32a4f17646ac3a489f7281f6cc9a0afc67923218d7f0b378ada6e2c27ea472","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c32a4f17646ac3a489f7281f6cc9a0afc67923218d7f0b378ada6e2c27ea472","first_computed_at":"2026-05-18T03:22:18.832722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:18.832722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vR9SGnG2H846mVqVDMMnkS8sMJOOPdoUKRH1imYlMJii5WVaPtpZwrKVZP/x1AaVsWQGMFTgiLJLZUwNMlErAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:18.833422Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1107","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9b3958ad85c8a7c5a8a9463c70ca401ae49ce58c094ef555bfbcc4042e56c5b","sha256:d876ea5ec52286d3200ebd310fe032fc293e18c832cb9cec2b87a6463b870310"],"state_sha256":"031d4787cc5c69ccb6e1ec4141acabc34fc4d324c62fffe2e383a6c1e43cab69"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WPkE0zyr1MzwuHr4cCbmfW/CVJ0ow/PEg1161CV2SDwFZurcY6yQXLOGz0bKaxTkxF4OvyNT9XwhFovm+L86AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T14:41:20.709965Z","bundle_sha256":"c0a38411993144b9e6a8cffa89770677ea4f88a23e0eb3c7ab394b2e36e50eb0"}}