{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:JWKLN2V6GNHBXD6BYNJKV4OW6O","short_pith_number":"pith:JWKLN2V6","canonical_record":{"source":{"id":"2607.29373","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-07-31T12:58:50Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"87f6afd9fc7c23e01bdb736d293ac947300fe6443f1b90c837813ecd471750ad","abstract_canon_sha256":"143937fbe348339974b3a035c9e0768caa5a4b69fac769fbfee2cceedfc06fcf"},"schema_version":"1.0"},"canonical_sha256":"4d94b6eabe334e1b8fc1c352aaf1d6f3ad92a426a2831d448cbad38d993df8d5","source":{"kind":"arxiv","id":"2607.29373","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.29373","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"arxiv_version","alias_value":"2607.29373v1","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.29373","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"pith_short_12","alias_value":"JWKLN2V6GNHB","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"pith_short_16","alias_value":"JWKLN2V6GNHBXD6B","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"pith_short_8","alias_value":"JWKLN2V6","created_at":"2026-08-03T01:33:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:JWKLN2V6GNHBXD6BYNJKV4OW6O","target":"record","payload":{"canonical_record":{"source":{"id":"2607.29373","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-07-31T12:58:50Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"87f6afd9fc7c23e01bdb736d293ac947300fe6443f1b90c837813ecd471750ad","abstract_canon_sha256":"143937fbe348339974b3a035c9e0768caa5a4b69fac769fbfee2cceedfc06fcf"},"schema_version":"1.0"},"canonical_sha256":"4d94b6eabe334e1b8fc1c352aaf1d6f3ad92a426a2831d448cbad38d993df8d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-03T01:33:31.024977Z","signature_b64":"Y4a920bo4GokfuK1GQf/eb8qsj7Vezddc7/tAKPNmZkn85ASGCuPsOAr9NDffLBeYAr/ipRjyH5D1HOwpYeyBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d94b6eabe334e1b8fc1c352aaf1d6f3ad92a426a2831d448cbad38d993df8d5","last_reissued_at":"2026-08-03T01:33:31.023464Z","signature_status":"signed_v1","first_computed_at":"2026-08-03T01:33:31.023464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.29373","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":"2026-08-03T01:33:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YEWsejqpdwRoPqUQgf+BhCuttgGEb0oI+msiWjI511cjmZD4r+PVs9Ad2Zm/xEHZGrltCkyER8x4qj3RcmjFBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:58:43.501746Z"},"content_sha256":"21f4a0667b1bcbfaeb85a7066b1ab67635e596e2defaa0a095d452da6a7fd2a7","schema_version":"1.0","event_id":"sha256:21f4a0667b1bcbfaeb85a7066b1ab67635e596e2defaa0a095d452da6a7fd2a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:JWKLN2V6GNHBXD6BYNJKV4OW6O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Haantjes torsion and integrability: a proof of Bolsinov-Konyaev-Matveev's conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Alessandro Arsie, Paolo Lorenzoni","submitted_at":"2026-07-31T12:58:50Z","abstract_excerpt":"We prove a conjecture formulated by Bolsinov, Konyaev and Matveev in [7] stating that, integrability of a system of hydrodynamic type ${\\bf u}_t=A({\\bf u}) {\\bf u}_x$ with $\\mathfrak{gl}$-regular $A$ at a point $p$ implies the vanishing of the Haantjes tensor of $A$ and of all its symmetries in a neighborhood of $p$. As a consequence, leveraging on the result of [8], in a neighbourhood of an algebraically generic point, any integrable system of hydrodynamic type defined by a $\\mathfrak{gl}$-regular operator field can be written as ${\\bf u}_t=X({\\bf u})\\circ {\\bf u}_x$ where $X$ is a vector fie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.29373","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/2607.29373/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":"2026-08-03T01:33:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dy82MVKC13KcWYIo8+fHo5mzJ8vvKA8usLojTZ7ZeZaki5u02bE7oK/OwTySe8HMBbzCZK+S4ki2aeTh1jiuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:58:43.502773Z"},"content_sha256":"45039189707e581872e4f8cde716e46edab698adcf6b055164026e939c01bd38","schema_version":"1.0","event_id":"sha256:45039189707e581872e4f8cde716e46edab698adcf6b055164026e939c01bd38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JWKLN2V6GNHBXD6BYNJKV4OW6O/bundle.json","state_url":"https://pith.science/pith/JWKLN2V6GNHBXD6BYNJKV4OW6O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JWKLN2V6GNHBXD6BYNJKV4OW6O/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":"2026-08-15T13:58:43Z","links":{"resolver":"https://pith.science/pith/JWKLN2V6GNHBXD6BYNJKV4OW6O","bundle":"https://pith.science/pith/JWKLN2V6GNHBXD6BYNJKV4OW6O/bundle.json","state":"https://pith.science/pith/JWKLN2V6GNHBXD6BYNJKV4OW6O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JWKLN2V6GNHBXD6BYNJKV4OW6O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JWKLN2V6GNHBXD6BYNJKV4OW6O","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":"143937fbe348339974b3a035c9e0768caa5a4b69fac769fbfee2cceedfc06fcf","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-07-31T12:58:50Z","title_canon_sha256":"87f6afd9fc7c23e01bdb736d293ac947300fe6443f1b90c837813ecd471750ad"},"schema_version":"1.0","source":{"id":"2607.29373","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.29373","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"arxiv_version","alias_value":"2607.29373v1","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.29373","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"pith_short_12","alias_value":"JWKLN2V6GNHB","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"pith_short_16","alias_value":"JWKLN2V6GNHBXD6B","created_at":"2026-08-03T01:33:31Z"},{"alias_kind":"pith_short_8","alias_value":"JWKLN2V6","created_at":"2026-08-03T01:33:31Z"}],"graph_snapshots":[{"event_id":"sha256:45039189707e581872e4f8cde716e46edab698adcf6b055164026e939c01bd38","target":"graph","created_at":"2026-08-03T01:33:31Z","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/2607.29373/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a conjecture formulated by Bolsinov, Konyaev and Matveev in [7] stating that, integrability of a system of hydrodynamic type ${\\bf u}_t=A({\\bf u}) {\\bf u}_x$ with $\\mathfrak{gl}$-regular $A$ at a point $p$ implies the vanishing of the Haantjes tensor of $A$ and of all its symmetries in a neighborhood of $p$. As a consequence, leveraging on the result of [8], in a neighbourhood of an algebraically generic point, any integrable system of hydrodynamic type defined by a $\\mathfrak{gl}$-regular operator field can be written as ${\\bf u}_t=X({\\bf u})\\circ {\\bf u}_x$ where $X$ is a vector fie","authors_text":"Alessandro Arsie, Paolo Lorenzoni","cross_cats":["math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-07-31T12:58:50Z","title":"Haantjes torsion and integrability: a proof of Bolsinov-Konyaev-Matveev's conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.29373","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":"sha256:21f4a0667b1bcbfaeb85a7066b1ab67635e596e2defaa0a095d452da6a7fd2a7","target":"record","created_at":"2026-08-03T01:33:31Z","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":"143937fbe348339974b3a035c9e0768caa5a4b69fac769fbfee2cceedfc06fcf","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-07-31T12:58:50Z","title_canon_sha256":"87f6afd9fc7c23e01bdb736d293ac947300fe6443f1b90c837813ecd471750ad"},"schema_version":"1.0","source":{"id":"2607.29373","kind":"arxiv","version":1}},"canonical_sha256":"4d94b6eabe334e1b8fc1c352aaf1d6f3ad92a426a2831d448cbad38d993df8d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d94b6eabe334e1b8fc1c352aaf1d6f3ad92a426a2831d448cbad38d993df8d5","first_computed_at":"2026-08-03T01:33:31.023464Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-03T01:33:31.023464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y4a920bo4GokfuK1GQf/eb8qsj7Vezddc7/tAKPNmZkn85ASGCuPsOAr9NDffLBeYAr/ipRjyH5D1HOwpYeyBg==","signature_status":"signed_v1","signed_at":"2026-08-03T01:33:31.024977Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.29373","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21f4a0667b1bcbfaeb85a7066b1ab67635e596e2defaa0a095d452da6a7fd2a7","sha256:45039189707e581872e4f8cde716e46edab698adcf6b055164026e939c01bd38"],"state_sha256":"79d22d976d983456f9faa9e2bbd7b6c25e128aefc961371cdf9fca42d4b7379e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DVeU8pCwCfDeg3KToYEsssrVQoY61NAFpnNLY8WvztFEsZGL83DyTIityjFyvFObzeIkLF4Wv602z2Nh5dYsDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T13:58:43.510014Z","bundle_sha256":"19289246101ba4162632c8accc1d3fb0e94785d9d3284173d8497921927a0e2f"}}