{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:RV2CA3OGGXR76JOLFZ27T5XIMN","short_pith_number":"pith:RV2CA3OG","canonical_record":{"source":{"id":"2607.14786","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2026-07-16T10:02:39Z","cross_cats_sorted":["cs.CG","nlin.CD"],"title_canon_sha256":"b390dd5b1e06fd2e6e96c05c82430e39106759812d36d400aa0e1c400274f353","abstract_canon_sha256":"c0c53a550b86cd3add89c41ec5b23ccf131f0df3eea9aded1f91f84d4460dc5e"},"schema_version":"1.0"},"canonical_sha256":"8d74206dc635e3ff25cb2e75f9f6e863737cf3a9edd972b79ce2de60d8b9f5e6","source":{"kind":"arxiv","id":"2607.14786","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14786","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14786v1","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14786","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"pith_short_12","alias_value":"RV2CA3OGGXR7","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"pith_short_16","alias_value":"RV2CA3OGGXR76JOL","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"pith_short_8","alias_value":"RV2CA3OG","created_at":"2026-07-17T01:21:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:RV2CA3OGGXR76JOLFZ27T5XIMN","target":"record","payload":{"canonical_record":{"source":{"id":"2607.14786","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2026-07-16T10:02:39Z","cross_cats_sorted":["cs.CG","nlin.CD"],"title_canon_sha256":"b390dd5b1e06fd2e6e96c05c82430e39106759812d36d400aa0e1c400274f353","abstract_canon_sha256":"c0c53a550b86cd3add89c41ec5b23ccf131f0df3eea9aded1f91f84d4460dc5e"},"schema_version":"1.0"},"canonical_sha256":"8d74206dc635e3ff25cb2e75f9f6e863737cf3a9edd972b79ce2de60d8b9f5e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T01:21:30.995250Z","signature_b64":"PsybpUHjOLOH/8U+H1YafywaHVcPP3odjFyy8sfVDHXuUE5fGD9a2snSBOMKyhRuoz06KY/Q9VHRBhBIN15wDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d74206dc635e3ff25cb2e75f9f6e863737cf3a9edd972b79ce2de60d8b9f5e6","last_reissued_at":"2026-07-17T01:21:30.994424Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T01:21:30.994424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.14786","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":"2026-07-17T01:21:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ftbiTZSF5j6IKw8Ryks9c6X66jWh9X6LQeZjQeLyQJdg1UsVhcfzPe14IaTl/rHnNTE2FZw032jb4sgM29pXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T22:38:38.446309Z"},"content_sha256":"9087b3fbc1dcee19c6990956e1a9fdd48ab46920b9390130f90f113f0de7a11e","schema_version":"1.0","event_id":"sha256:9087b3fbc1dcee19c6990956e1a9fdd48ab46920b9390130f90f113f0de7a11e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:RV2CA3OGGXR76JOLFZ27T5XIMN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inferring Non-Normal Amplification Geometry from Multivariate Time Series","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CG","nlin.CD"],"primary_cat":"physics.data-an","authors_text":"D. Sornette, V.R. Saiprasad, V. Troude","submitted_at":"2026-07-16T10:02:39Z","abstract_excerpt":"Across hydrodynamics, ecology, neuroscience, network dynamics, non-Hermitian physics, and socio-economic systems, asymptotically stable dynamics can exhibit large transient amplifications that are invisible to eigenvalue-based analyses. The mechanism is geometric rather than spectral: perturbations entering along one direction may be expressed transiently along another, allowing asymptotic decay to coexist with strong transient or noise-driven amplification. We introduce non-normal directional response inference, a data-driven method for detecting this geometry from multivariate time series wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14786","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/2607.14786/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":"2026-07-17T01:21:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pRK+7+Bwrn7LgoSZYLHjLLY3jpoknbN5U6dktEK42q7+K0d+y9iTw+O/kPFlqRzcEHAg1fxNfE1/YX+vePF3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T22:38:38.446832Z"},"content_sha256":"cbe89f06531592e5d4e73dba9998e73ecf805ecb170d1980b1cf76c949fda853","schema_version":"1.0","event_id":"sha256:cbe89f06531592e5d4e73dba9998e73ecf805ecb170d1980b1cf76c949fda853"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:RV2CA3OGGXR76JOLFZ27T5XIMN","target":"integrity","payload":{"note":"DOI is split by whitespace or line breaks in the printed bibliography. Reconstructed DOI 10.1103/PhysRevLett.77.570 resolves to 'Localization Transitions in Non-Hermitian Quantum Mechanics'. A reader following the printed text alone cannot reach it.","snippet":"N. Hatano, D. R. Nelson, Localization transitions in non- hermitian quantum mechanics, Physical Review Letters 77 (3) (1996) 570–573.doi:10.1103/PhysRevLett. 77.570","arxiv_id":"2607.14786","detector":"doi_compliance","evidence":{"ref_index":13,"verdict_class":"incontrovertible","resolved_title":"Localization Transitions in Non-Hermitian Quantum Mechanics","printed_excerpt":"10.1103/physrevlett","reconstructed_doi":"10.1103/PhysRevLett.77.570"},"severity":"advisory","ref_index":13,"audited_at":"2026-08-02T01:21:25.851153Z","event_type":"pith.integrity.v1","detected_doi":"10.1103/PhysRevLett.77.570","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"2698c5c8f94ab11705afbdee91aa14bc9a3512c0d3b56a7d8fba9894fc461f81","paper_version":1,"verdict_class":"incontrovertible","resolved_title":"Localization Transitions in Non-Hermitian Quantum Mechanics","detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":16973,"payload_sha256":"c3ac696c0783ca091003b904f7644c9f23fa00292938fe88d38f99d1b6c30ae9","signature_b64":"XDep52ueQjXeDeD4KOi18bjDpoehhl0XcM6AlvUOfgHqVqhMebFuHTKlK+d4fD6T4auqVTxuPrXGEdHhJC3ZDA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-02T01:23:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wWj0z9fIiald7O471gqsCkM+D2tt9ybRHoUiH3weT/Zlsu9wk+8gYS2P8hJhAaDOpVGlr35qbK0iYPqAyFtLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T22:38:38.449710Z"},"content_sha256":"bbc9f606a605802b5109cd4f605b20e991ff7f62f3bcb28d873366790855cdb2","schema_version":"1.0","event_id":"sha256:bbc9f606a605802b5109cd4f605b20e991ff7f62f3bcb28d873366790855cdb2"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:RV2CA3OGGXR76JOLFZ27T5XIMN","target":"integrity","payload":{"note":"DOI is split by whitespace or line breaks in the printed bibliography. Reconstructed DOI 10.1126/sciadv.aau9403 resolves to 'Structure and dynamical behavior of non-normal networks'. A reader following the printed text alone cannot reach it.","snippet":"M. Asllani, R. Lambiotte, T. Carletti, Structure and dy- namical behavior of non-normal networks, Science Ad- vances 4 (12) (2018) eaau9403.doi:10.1126/sciadv. aau9403","arxiv_id":"2607.14786","detector":"doi_compliance","evidence":{"ref_index":9,"verdict_class":"incontrovertible","resolved_title":"Structure and dynamical behavior of non-normal networks","printed_excerpt":"10.1126/sciadv","reconstructed_doi":"10.1126/sciadv.aau9403"},"severity":"advisory","ref_index":9,"audited_at":"2026-08-02T01:21:25.851153Z","event_type":"pith.integrity.v1","detected_doi":"10.1126/sciadv.aau9403","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"f7424bbdaccc9b851abead094b995c6e185703f94417a764a3103d01ab7c8617","paper_version":1,"verdict_class":"incontrovertible","resolved_title":"Structure and dynamical behavior of non-normal networks","detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":16972,"payload_sha256":"28a4c1442a41abf02373d034913b66134d628d4b9ce395894b83b23134ab108e","signature_b64":"3VWNDzwKKyKf6dxqX/UP116UZDf97cHzeCR1jKl2/BmZnSjGLL1/wJPHams9P+tXwKeNZttyTZRCLSJdwl4wDQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-02T01:23:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X8dKkuscp4WsiSIsvHXhmT1aTYjUKNgtHLCVZHm4Me083B33CH3tzM5AVvzHB6fFJgLPJ6e/ig3eSs+m7qAPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T22:38:38.450108Z"},"content_sha256":"95177a92eb11ef13677677c02a4a72ea6c7c2ddb3cc6267055a9dbcb14408edd","schema_version":"1.0","event_id":"sha256:95177a92eb11ef13677677c02a4a72ea6c7c2ddb3cc6267055a9dbcb14408edd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RV2CA3OGGXR76JOLFZ27T5XIMN/bundle.json","state_url":"https://pith.science/pith/RV2CA3OGGXR76JOLFZ27T5XIMN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RV2CA3OGGXR76JOLFZ27T5XIMN/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":"2026-08-02T22:38:38Z","links":{"resolver":"https://pith.science/pith/RV2CA3OGGXR76JOLFZ27T5XIMN","bundle":"https://pith.science/pith/RV2CA3OGGXR76JOLFZ27T5XIMN/bundle.json","state":"https://pith.science/pith/RV2CA3OGGXR76JOLFZ27T5XIMN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RV2CA3OGGXR76JOLFZ27T5XIMN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RV2CA3OGGXR76JOLFZ27T5XIMN","merge_version":"pith-open-graph-merge-v1","event_count":4,"valid_event_count":4,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c0c53a550b86cd3add89c41ec5b23ccf131f0df3eea9aded1f91f84d4460dc5e","cross_cats_sorted":["cs.CG","nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2026-07-16T10:02:39Z","title_canon_sha256":"b390dd5b1e06fd2e6e96c05c82430e39106759812d36d400aa0e1c400274f353"},"schema_version":"1.0","source":{"id":"2607.14786","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14786","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14786v1","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14786","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"pith_short_12","alias_value":"RV2CA3OGGXR7","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"pith_short_16","alias_value":"RV2CA3OGGXR76JOL","created_at":"2026-07-17T01:21:30Z"},{"alias_kind":"pith_short_8","alias_value":"RV2CA3OG","created_at":"2026-07-17T01:21:30Z"}],"graph_snapshots":[{"event_id":"sha256:cbe89f06531592e5d4e73dba9998e73ecf805ecb170d1980b1cf76c949fda853","target":"graph","created_at":"2026-07-17T01:21:30Z","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/2607.14786/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Across hydrodynamics, ecology, neuroscience, network dynamics, non-Hermitian physics, and socio-economic systems, asymptotically stable dynamics can exhibit large transient amplifications that are invisible to eigenvalue-based analyses. The mechanism is geometric rather than spectral: perturbations entering along one direction may be expressed transiently along another, allowing asymptotic decay to coexist with strong transient or noise-driven amplification. We introduce non-normal directional response inference, a data-driven method for detecting this geometry from multivariate time series wh","authors_text":"D. Sornette, V.R. Saiprasad, V. Troude","cross_cats":["cs.CG","nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2026-07-16T10:02:39Z","title":"Inferring Non-Normal Amplification Geometry from Multivariate Time Series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14786","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":"sha256:9087b3fbc1dcee19c6990956e1a9fdd48ab46920b9390130f90f113f0de7a11e","target":"record","created_at":"2026-07-17T01:21:30Z","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":"c0c53a550b86cd3add89c41ec5b23ccf131f0df3eea9aded1f91f84d4460dc5e","cross_cats_sorted":["cs.CG","nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2026-07-16T10:02:39Z","title_canon_sha256":"b390dd5b1e06fd2e6e96c05c82430e39106759812d36d400aa0e1c400274f353"},"schema_version":"1.0","source":{"id":"2607.14786","kind":"arxiv","version":1}},"canonical_sha256":"8d74206dc635e3ff25cb2e75f9f6e863737cf3a9edd972b79ce2de60d8b9f5e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d74206dc635e3ff25cb2e75f9f6e863737cf3a9edd972b79ce2de60d8b9f5e6","first_computed_at":"2026-07-17T01:21:30.994424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T01:21:30.994424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PsybpUHjOLOH/8U+H1YafywaHVcPP3odjFyy8sfVDHXuUE5fGD9a2snSBOMKyhRuoz06KY/Q9VHRBhBIN15wDQ==","signature_status":"signed_v1","signed_at":"2026-07-17T01:21:30.995250Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14786","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:95177a92eb11ef13677677c02a4a72ea6c7c2ddb3cc6267055a9dbcb14408edd","sha256:bbc9f606a605802b5109cd4f605b20e991ff7f62f3bcb28d873366790855cdb2"]}],"invalid_events":[],"applied_event_ids":["sha256:9087b3fbc1dcee19c6990956e1a9fdd48ab46920b9390130f90f113f0de7a11e","sha256:cbe89f06531592e5d4e73dba9998e73ecf805ecb170d1980b1cf76c949fda853"],"state_sha256":"4a56e3fe9e53ef89eb2b3239dadbad2706ab130048bb933d43f3c69f967584d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"385s5m4ufP2S8HpbhBu/6hwZhtg0FsK+aRrkjrroYInMDlMHMLQS1MZC8v7/nWJT77yjy20bALdwQ4sz+NCNDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T22:38:38.452775Z","bundle_sha256":"6ea65635225a4f1ac0da8700b8c22091b629c51ca16981ad328d89346e292577"}}