{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MTRUTOEWK4TRBU2RA26CDPKQUO","short_pith_number":"pith:MTRUTOEW","canonical_record":{"source":{"id":"2606.24490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-23T12:24:04Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"d3078b584a8d17108ae9a07f383e2fc445d68d9c320b56181e75876cdb638441","abstract_canon_sha256":"ea232d2391056244a927f51ef5f2cc33faa3d75d58fa9f12d5bcbbbbf0466a7d"},"schema_version":"1.0"},"canonical_sha256":"64e349b896572710d35106bc21bd50a392e694b09ed267db994277d802956ae8","source":{"kind":"arxiv","id":"2606.24490","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24490","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24490v1","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24490","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"MTRUTOEWK4TR","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"pith_short_16","alias_value":"MTRUTOEWK4TRBU2R","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"pith_short_8","alias_value":"MTRUTOEW","created_at":"2026-06-24T01:15:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MTRUTOEWK4TRBU2RA26CDPKQUO","target":"record","payload":{"canonical_record":{"source":{"id":"2606.24490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-23T12:24:04Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"d3078b584a8d17108ae9a07f383e2fc445d68d9c320b56181e75876cdb638441","abstract_canon_sha256":"ea232d2391056244a927f51ef5f2cc33faa3d75d58fa9f12d5bcbbbbf0466a7d"},"schema_version":"1.0"},"canonical_sha256":"64e349b896572710d35106bc21bd50a392e694b09ed267db994277d802956ae8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:15:32.045431Z","signature_b64":"DdESfTDDLT3iL97C8GG2oObo8QvH88ulC731FAlmfynHb2cdXzvBN6IipzQMp/vCb0hohHSB1mSfh9UbUykWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64e349b896572710d35106bc21bd50a392e694b09ed267db994277d802956ae8","last_reissued_at":"2026-06-24T01:15:32.045050Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:15:32.045050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.24490","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":"2026-06-24T01:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I8rjxpOn5h1ohMtK778rxCtAamLNL59QJQrx6ggkFzDkeDwQdsD4tz8y5Pc+l6c4lnU9w/SNQiS0DimL+A4dAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T17:19:13.339536Z"},"content_sha256":"ec75236533986145ee9b4de0b44f7522f878e37486f51c29d5251e60e7cdd7fc","schema_version":"1.0","event_id":"sha256:ec75236533986145ee9b4de0b44f7522f878e37486f51c29d5251e60e7cdd7fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MTRUTOEWK4TRBU2RA26CDPKQUO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-dimensional chaos II: String scattering amplitudes, curve repulsion, and RMT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"hep-th","authors_text":"Dorin Weissman, Jacob Sonnenschein, Massimo Bianchi, Maurizio Firrotta","submitted_at":"2026-06-23T12:24:04Z","abstract_excerpt":"Multi-dimensional chaos refers to processes described by erratic functions of several dynamical variables. In this letter we analyze the string scattering amplitudes of highly-excited states and ground states. We show that the amplitudes, which depend on a scattering angle and a polarization angle, are characterized by two sets of non-intersecting curves associated with the vanishing of the derivatives with respect to the angles. We introduce the notion of the \"area eigenvalue\" $A_n$ associated with the $n$-th curve. We compute the spacings $\\delta_{n}= A_{n+1}-A_n$ and their ratios $r_{n}=\\fr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24490","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/2606.24490/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":"2026-06-24T01:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OAPxhTEB0Q4BPzFPBOKun3SluoQ8jTh/ApbHkTT0TlthLk1wzIyNKOXwT2xMNquPfBU1D9UNSam/kvEz39n0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T17:19:13.339855Z"},"content_sha256":"5dbad23f0f02008b073a38c344fd32af350a94fe79dcae206dc8859d84ced74d","schema_version":"1.0","event_id":"sha256:5dbad23f0f02008b073a38c344fd32af350a94fe79dcae206dc8859d84ced74d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MTRUTOEWK4TRBU2RA26CDPKQUO/bundle.json","state_url":"https://pith.science/pith/MTRUTOEWK4TRBU2RA26CDPKQUO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MTRUTOEWK4TRBU2RA26CDPKQUO/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":"2026-08-05T17:19:13Z","links":{"resolver":"https://pith.science/pith/MTRUTOEWK4TRBU2RA26CDPKQUO","bundle":"https://pith.science/pith/MTRUTOEWK4TRBU2RA26CDPKQUO/bundle.json","state":"https://pith.science/pith/MTRUTOEWK4TRBU2RA26CDPKQUO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MTRUTOEWK4TRBU2RA26CDPKQUO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MTRUTOEWK4TRBU2RA26CDPKQUO","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":"ea232d2391056244a927f51ef5f2cc33faa3d75d58fa9f12d5bcbbbbf0466a7d","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-23T12:24:04Z","title_canon_sha256":"d3078b584a8d17108ae9a07f383e2fc445d68d9c320b56181e75876cdb638441"},"schema_version":"1.0","source":{"id":"2606.24490","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24490","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24490v1","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24490","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"MTRUTOEWK4TR","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"pith_short_16","alias_value":"MTRUTOEWK4TRBU2R","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"pith_short_8","alias_value":"MTRUTOEW","created_at":"2026-06-24T01:15:32Z"}],"graph_snapshots":[{"event_id":"sha256:5dbad23f0f02008b073a38c344fd32af350a94fe79dcae206dc8859d84ced74d","target":"graph","created_at":"2026-06-24T01:15:32Z","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/2606.24490/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multi-dimensional chaos refers to processes described by erratic functions of several dynamical variables. In this letter we analyze the string scattering amplitudes of highly-excited states and ground states. We show that the amplitudes, which depend on a scattering angle and a polarization angle, are characterized by two sets of non-intersecting curves associated with the vanishing of the derivatives with respect to the angles. We introduce the notion of the \"area eigenvalue\" $A_n$ associated with the $n$-th curve. We compute the spacings $\\delta_{n}= A_{n+1}-A_n$ and their ratios $r_{n}=\\fr","authors_text":"Dorin Weissman, Jacob Sonnenschein, Massimo Bianchi, Maurizio Firrotta","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-23T12:24:04Z","title":"Multi-dimensional chaos II: String scattering amplitudes, curve repulsion, and RMT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24490","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:ec75236533986145ee9b4de0b44f7522f878e37486f51c29d5251e60e7cdd7fc","target":"record","created_at":"2026-06-24T01:15:32Z","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":"ea232d2391056244a927f51ef5f2cc33faa3d75d58fa9f12d5bcbbbbf0466a7d","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-23T12:24:04Z","title_canon_sha256":"d3078b584a8d17108ae9a07f383e2fc445d68d9c320b56181e75876cdb638441"},"schema_version":"1.0","source":{"id":"2606.24490","kind":"arxiv","version":1}},"canonical_sha256":"64e349b896572710d35106bc21bd50a392e694b09ed267db994277d802956ae8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64e349b896572710d35106bc21bd50a392e694b09ed267db994277d802956ae8","first_computed_at":"2026-06-24T01:15:32.045050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:15:32.045050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DdESfTDDLT3iL97C8GG2oObo8QvH88ulC731FAlmfynHb2cdXzvBN6IipzQMp/vCb0hohHSB1mSfh9UbUykWBg==","signature_status":"signed_v1","signed_at":"2026-06-24T01:15:32.045431Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24490","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec75236533986145ee9b4de0b44f7522f878e37486f51c29d5251e60e7cdd7fc","sha256:5dbad23f0f02008b073a38c344fd32af350a94fe79dcae206dc8859d84ced74d"],"state_sha256":"fab700f23dc7ff1d9ae9d5b9df70f54f07b875723939286dfc4a8e2826a108df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vzSvZUrAM98nOlNgha/G44j5zpZh2m2kiEhUuvcAjPNxCB/uOvGKfFpydOdtcl8xwgEywXdgjXvjyFcePM3CCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T17:19:13.342851Z","bundle_sha256":"03cbe8526405b6ae065c2e9c537b4b055733fd195ab543cbb7f4436ede3fd62a"}}