{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:373PBTDJUQTAI6MDCXRKAKHD3V","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":"8188831748d5b03b0a0aadfe9a77c05749a1abd196ad9cee35c6ed0d1fb4c671","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2013-01-11T16:08:17Z","title_canon_sha256":"ad1360c28ad56ba549e18cccd00954d234658a0588f3e3575dcd0f46315a8ced"},"schema_version":"1.0","source":{"id":"1301.2530","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2530","created_at":"2026-05-18T01:52:13Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2530v2","created_at":"2026-05-18T01:52:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2530","created_at":"2026-05-18T01:52:13Z"},{"alias_kind":"pith_short_12","alias_value":"373PBTDJUQTA","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"373PBTDJUQTAI6MD","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"373PBTDJ","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:0fa95a15a49980bbf776fa55b28cb5595f3c130373d62ae728a7a2aabb7fae34","target":"graph","created_at":"2026-05-18T01:52:13Z","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 find numerical and empirical evidence for dynamical, structural and topological phase transitions on the (German) Frankfurt Stock Exchange (FSE) in the temporal vicinity of the worldwide financial crash. Using the Minimal Spanning Tree (MST) technique, a particularly useful canonical tool of the graph theory, two transitions of the topology of a complex network representing FSE were found. First transition is from a hierarchical scale-free MST representing the stock market before the recent worldwide financial crash, to a superstar-like MST decorated by a scale-free hierarchy of trees repre","authors_text":"A. Sienkiewicz, M. Wili\\'nski, R. Kutner, T. Gubiec, Z.R. Struzik","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2013-01-11T16:08:17Z","title":"Structural and topological phase transitions on the German Stock Exchange"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2530","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":"sha256:4a48dcedff5a5dc630eb57bdaaa18f4e17d00bb7fc28584c109e951a61a88641","target":"record","created_at":"2026-05-18T01:52:13Z","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":"8188831748d5b03b0a0aadfe9a77c05749a1abd196ad9cee35c6ed0d1fb4c671","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2013-01-11T16:08:17Z","title_canon_sha256":"ad1360c28ad56ba549e18cccd00954d234658a0588f3e3575dcd0f46315a8ced"},"schema_version":"1.0","source":{"id":"1301.2530","kind":"arxiv","version":2}},"canonical_sha256":"dff6f0cc69a42604798315e2a028e3dd532ac336375fbf85af1a4460565da7c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dff6f0cc69a42604798315e2a028e3dd532ac336375fbf85af1a4460565da7c1","first_computed_at":"2026-05-18T01:52:13.362386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:13.362386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uw51sKVZs9gJJ2bk+RGYrcuzgeXV3sukKtR5rF7lpeKXkrXi535+iVljXp5r3vrovYobsJRzX0CY+yvefq2SBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:13.363085Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2530","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a48dcedff5a5dc630eb57bdaaa18f4e17d00bb7fc28584c109e951a61a88641","sha256:0fa95a15a49980bbf776fa55b28cb5595f3c130373d62ae728a7a2aabb7fae34"],"state_sha256":"4eac221561d05c340d874ba7fcbbea0c81028f54c6cd800bb4e7825669e6e1ba"}