{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:M3UIAFV4OB53LYPTC5MCY7JLU2","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":"5a288d6c695a7c1e712c8ed4659f61cd6ff6007247a235e808b315487782f39c","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-12T09:54:27Z","title_canon_sha256":"f123a2eae8b9a78d8aa0050c8edc91ae5c1d4ad9d7fd526f2eec544b0ab50aac"},"schema_version":"1.0","source":{"id":"1010.2338","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2338","created_at":"2026-05-18T02:05:06Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2338v1","created_at":"2026-05-18T02:05:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2338","created_at":"2026-05-18T02:05:06Z"},{"alias_kind":"pith_short_12","alias_value":"M3UIAFV4OB53","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"M3UIAFV4OB53LYPT","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"M3UIAFV4","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:acfb3db19e639d42d99bbc3e7c2e19dd928051083a105c7490831f9d3ac47d72","target":"graph","created_at":"2026-05-18T02:05:06Z","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 compute the Parisi overlap distribution for paperfolding sequences. It turns out to be discrete, and to live on the dyadic rationals. Hence it is a pure point measure whose support is the full interval [-1; +1]. The space of paperfolding sequences has an ultrametric structure. Our example provides an illustration of some properties which were suggested to occur for pure states in spin glass models.","authors_text":"Aernout C.D. van Enter, Ellis de Groote","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-12T09:54:27Z","title":"An ultrametric state space with a dense discrete overlap distribution: Paperfolding sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2338","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":"sha256:79bf33e5a985abb2fad0cb7640f131e463afe446a82800374241fcefbce2ba0a","target":"record","created_at":"2026-05-18T02:05:06Z","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":"5a288d6c695a7c1e712c8ed4659f61cd6ff6007247a235e808b315487782f39c","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-12T09:54:27Z","title_canon_sha256":"f123a2eae8b9a78d8aa0050c8edc91ae5c1d4ad9d7fd526f2eec544b0ab50aac"},"schema_version":"1.0","source":{"id":"1010.2338","kind":"arxiv","version":1}},"canonical_sha256":"66e88016bc707bb5e1f317582c7d2ba693ab4855afb022bf9ae6fff0c5e12988","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66e88016bc707bb5e1f317582c7d2ba693ab4855afb022bf9ae6fff0c5e12988","first_computed_at":"2026-05-18T02:05:06.125796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:06.125796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aisE5i+zcccYt1Lk0WJhU+Ru6ymrGZjYY87hlkEsB2Bk4flslFJgTv8Lp2UD5QJzubwMGkmu8pmWPZL9EJz+Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:06.126545Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2338","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79bf33e5a985abb2fad0cb7640f131e463afe446a82800374241fcefbce2ba0a","sha256:acfb3db19e639d42d99bbc3e7c2e19dd928051083a105c7490831f9d3ac47d72"],"state_sha256":"51dfee9a30a6bad848d8f37fe2a91f4a0a3c7b0cd9799ce3c6890d149c23e38b"}