{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:DFLORE7BGI3WA5JOG3DHO5TQIM","short_pith_number":"pith:DFLORE7B","canonical_record":{"source":{"id":"0912.2930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-15T15:28:49Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"f10f9938ff1248563e9de697d563ce8db613434c33d51b23e2118dbd38b1c27a","abstract_canon_sha256":"6e0d84780ec29d0515b1f6023baa13833f1f083aa04cbd236f27c25fb85eba02"},"schema_version":"1.0"},"canonical_sha256":"1956e893e1323760752e36c67776704332330469941b57a73f371c98efc537b9","source":{"kind":"arxiv","id":"0912.2930","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.2930","created_at":"2026-05-18T02:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"0912.2930v1","created_at":"2026-05-18T02:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.2930","created_at":"2026-05-18T02:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"DFLORE7BGI3W","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DFLORE7BGI3WA5JO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DFLORE7B","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:DFLORE7BGI3WA5JOG3DHO5TQIM","target":"record","payload":{"canonical_record":{"source":{"id":"0912.2930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-15T15:28:49Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"f10f9938ff1248563e9de697d563ce8db613434c33d51b23e2118dbd38b1c27a","abstract_canon_sha256":"6e0d84780ec29d0515b1f6023baa13833f1f083aa04cbd236f27c25fb85eba02"},"schema_version":"1.0"},"canonical_sha256":"1956e893e1323760752e36c67776704332330469941b57a73f371c98efc537b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:23.421039Z","signature_b64":"sYH/OZF96bO4+R0ITVehkohDKggg0B/w6Qi2hAlzf3oEHunTOI+WgaP63omCT7uOu+PsuAkIwos13dLVOhBcBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1956e893e1323760752e36c67776704332330469941b57a73f371c98efc537b9","last_reissued_at":"2026-05-18T02:10:23.420408Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:23.420408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.2930","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":"2026-05-18T02:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t23sCyfHG5Bf+ZVfOg0vMC1db7S7oKKwQO12QEIUMD0VzpVqm6rNbMpp3JjZY17irhXSaBTGnivcf/R6UziIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:30:25.027070Z"},"content_sha256":"0590e8dc60b940dfc1d2d16ce5f4b9bdfab62575ce79339316e7b43c4797a92d","schema_version":"1.0","event_id":"sha256:0590e8dc60b940dfc1d2d16ce5f4b9bdfab62575ce79339316e7b43c4797a92d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:DFLORE7BGI3WA5JOG3DHO5TQIM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization group structure for sums of variables generated by incipiently chaotic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alberto Robledo, Miguel Angel Fuentes","submitted_at":"2009-12-15T15:28:49Z","abstract_excerpt":"We look at the limit distributions of sums of deterministic chaotic variables in unimodal maps and find a remarkable renormalization group (RG) structure associated to the operation of increment of summands and rescaling. In this structure - where the only relevant variable is the difference in control parameter from its value at the transition to chaos - the trivial fixed point is the Gaussian distribution and a novel nontrivial fixed point is a multifractal distribution that emulates the Feigenbaum attractor, and is universal in the sense of the latter. The crossover between the two fixed po"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.2930","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":"2026-05-18T02:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5G4KPLFTvlaLjcVz3XTudaVceQRPBTeSp2RNJCyjBBkM3AI0myhnaX/R/KKd6XXOSmNDJSxaIkoSyrHi8UuDBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:30:25.027591Z"},"content_sha256":"e37cbbba980747ac91369583a96d3046a6a15b607f9cd79fc0cf63ba4cae3b5d","schema_version":"1.0","event_id":"sha256:e37cbbba980747ac91369583a96d3046a6a15b607f9cd79fc0cf63ba4cae3b5d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DFLORE7BGI3WA5JOG3DHO5TQIM/bundle.json","state_url":"https://pith.science/pith/DFLORE7BGI3WA5JOG3DHO5TQIM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DFLORE7BGI3WA5JOG3DHO5TQIM/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":"2026-06-20T03:30:25Z","links":{"resolver":"https://pith.science/pith/DFLORE7BGI3WA5JOG3DHO5TQIM","bundle":"https://pith.science/pith/DFLORE7BGI3WA5JOG3DHO5TQIM/bundle.json","state":"https://pith.science/pith/DFLORE7BGI3WA5JOG3DHO5TQIM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DFLORE7BGI3WA5JOG3DHO5TQIM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DFLORE7BGI3WA5JOG3DHO5TQIM","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":"6e0d84780ec29d0515b1f6023baa13833f1f083aa04cbd236f27c25fb85eba02","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-15T15:28:49Z","title_canon_sha256":"f10f9938ff1248563e9de697d563ce8db613434c33d51b23e2118dbd38b1c27a"},"schema_version":"1.0","source":{"id":"0912.2930","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.2930","created_at":"2026-05-18T02:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"0912.2930v1","created_at":"2026-05-18T02:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.2930","created_at":"2026-05-18T02:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"DFLORE7BGI3W","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DFLORE7BGI3WA5JO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DFLORE7B","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:e37cbbba980747ac91369583a96d3046a6a15b607f9cd79fc0cf63ba4cae3b5d","target":"graph","created_at":"2026-05-18T02:10:23Z","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 look at the limit distributions of sums of deterministic chaotic variables in unimodal maps and find a remarkable renormalization group (RG) structure associated to the operation of increment of summands and rescaling. In this structure - where the only relevant variable is the difference in control parameter from its value at the transition to chaos - the trivial fixed point is the Gaussian distribution and a novel nontrivial fixed point is a multifractal distribution that emulates the Feigenbaum attractor, and is universal in the sense of the latter. The crossover between the two fixed po","authors_text":"Alberto Robledo, Miguel Angel Fuentes","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-15T15:28:49Z","title":"Renormalization group structure for sums of variables generated by incipiently chaotic maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.2930","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":"sha256:0590e8dc60b940dfc1d2d16ce5f4b9bdfab62575ce79339316e7b43c4797a92d","target":"record","created_at":"2026-05-18T02:10:23Z","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":"6e0d84780ec29d0515b1f6023baa13833f1f083aa04cbd236f27c25fb85eba02","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-15T15:28:49Z","title_canon_sha256":"f10f9938ff1248563e9de697d563ce8db613434c33d51b23e2118dbd38b1c27a"},"schema_version":"1.0","source":{"id":"0912.2930","kind":"arxiv","version":1}},"canonical_sha256":"1956e893e1323760752e36c67776704332330469941b57a73f371c98efc537b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1956e893e1323760752e36c67776704332330469941b57a73f371c98efc537b9","first_computed_at":"2026-05-18T02:10:23.420408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:23.420408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sYH/OZF96bO4+R0ITVehkohDKggg0B/w6Qi2hAlzf3oEHunTOI+WgaP63omCT7uOu+PsuAkIwos13dLVOhBcBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:23.421039Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.2930","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0590e8dc60b940dfc1d2d16ce5f4b9bdfab62575ce79339316e7b43c4797a92d","sha256:e37cbbba980747ac91369583a96d3046a6a15b607f9cd79fc0cf63ba4cae3b5d"],"state_sha256":"32432fab22f54a7535835d9ce8a05fe234073015c4b232f757604fd5b5f2c53f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sag+GVzIz593HJLtVjZOsAequuJOAnmzxrgb90Tc7wYNxsHxQbxBoqYnYzahztexxRNlgJoDD97Vm+icDj6PCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T03:30:25.029675Z","bundle_sha256":"526d365978c1c8d46d4ad7d4740946bfc319adea9d7f67dbc65a9bca38c50e1d"}}