{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:FJ25EHH3UFANNK4UZTCX3JBIQK","short_pith_number":"pith:FJ25EHH3","canonical_record":{"source":{"id":"2404.12327","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2024-04-18T16:55:12Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"2af66ed2a8ce8d23bbcf15bd9884609d331bdcf0ae7b7d113f90fe2aa83bdc7e","abstract_canon_sha256":"dd0264d89169348e6d67234a8830161939ad4de4a5b007ebe0d69817df6edad4"},"schema_version":"1.0"},"canonical_sha256":"2a75d21cfba140d6ab94ccc57da42882a37cafcf91f0617f014ec2ccd60161ea","source":{"kind":"arxiv","id":"2404.12327","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.12327","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"arxiv_version","alias_value":"2404.12327v2","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.12327","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"pith_short_12","alias_value":"FJ25EHH3UFAN","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"pith_short_16","alias_value":"FJ25EHH3UFANNK4U","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"pith_short_8","alias_value":"FJ25EHH3","created_at":"2026-07-05T09:35:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:FJ25EHH3UFANNK4UZTCX3JBIQK","target":"record","payload":{"canonical_record":{"source":{"id":"2404.12327","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2024-04-18T16:55:12Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"2af66ed2a8ce8d23bbcf15bd9884609d331bdcf0ae7b7d113f90fe2aa83bdc7e","abstract_canon_sha256":"dd0264d89169348e6d67234a8830161939ad4de4a5b007ebe0d69817df6edad4"},"schema_version":"1.0"},"canonical_sha256":"2a75d21cfba140d6ab94ccc57da42882a37cafcf91f0617f014ec2ccd60161ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:35:09.445910Z","signature_b64":"8ZzEmaBySU771F93Igsz+t4fR8QJm9JJ3A2d7eTHrzhGqiYiS64MHY5YLLBbwlReVSmGCoGy/PNDrHnMm0yADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a75d21cfba140d6ab94ccc57da42882a37cafcf91f0617f014ec2ccd60161ea","last_reissued_at":"2026-07-05T09:35:09.445507Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:35:09.445507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.12327","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:35:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J7omh3209NDPW6/Wczx3lp09DmzYa2/b1/kwUWWDJdOdE8JKmYX4AORH+ZQk65LWfnbCqfUIC0R88aXIdFbYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:05:24.574735Z"},"content_sha256":"767fe3969d6a533a1f7880843e60d11c05ae7e790d67734cd007ac98a1b88f0e","schema_version":"1.0","event_id":"sha256:767fe3969d6a533a1f7880843e60d11c05ae7e790d67734cd007ac98a1b88f0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:FJ25EHH3UFANNK4UZTCX3JBIQK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gapless non-hydrodynamic modes in relativistic kinetic theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"nucl-th","authors_text":"Lorenzo Gavassino","submitted_at":"2024-04-18T16:55:12Z","abstract_excerpt":"We provide rigorous criteria to determine whether the non-hydrodynamic sector of a relativistic kinetic theory is gapless. These general criteria apply to both Boltzmann's equation and approximate models thereof, provided that the latter are consistent with thermodynamic principles. As an application of these criteria, we prove that the non-hydrodynamic sector is gapless whenever the scattering cross-section decays to zero at large energies. Physically, this happens because, if particles with very high energy (compared to the temperature) are free streaming, we can use them to build hot non-hy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.12327","kind":"arxiv","version":2},"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/2404.12327/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":"2026-07-05T09:35:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZfDiqRPZqCHUUHfFwMc+GVM9TWMtq5eWZ4fISHKBLTvuEXTo5X24mRCJw7Gi55qT7Qx/xzaYsPM1xa3SHH/jCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:05:24.575268Z"},"content_sha256":"d1626eb91d9f7c65bd7e3b2a04c252167b1acda682b4debffae97eeda9738661","schema_version":"1.0","event_id":"sha256:d1626eb91d9f7c65bd7e3b2a04c252167b1acda682b4debffae97eeda9738661"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FJ25EHH3UFANNK4UZTCX3JBIQK/bundle.json","state_url":"https://pith.science/pith/FJ25EHH3UFANNK4UZTCX3JBIQK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FJ25EHH3UFANNK4UZTCX3JBIQK/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":"2026-08-14T17:05:24Z","links":{"resolver":"https://pith.science/pith/FJ25EHH3UFANNK4UZTCX3JBIQK","bundle":"https://pith.science/pith/FJ25EHH3UFANNK4UZTCX3JBIQK/bundle.json","state":"https://pith.science/pith/FJ25EHH3UFANNK4UZTCX3JBIQK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FJ25EHH3UFANNK4UZTCX3JBIQK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FJ25EHH3UFANNK4UZTCX3JBIQK","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":"dd0264d89169348e6d67234a8830161939ad4de4a5b007ebe0d69817df6edad4","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2024-04-18T16:55:12Z","title_canon_sha256":"2af66ed2a8ce8d23bbcf15bd9884609d331bdcf0ae7b7d113f90fe2aa83bdc7e"},"schema_version":"1.0","source":{"id":"2404.12327","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.12327","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"arxiv_version","alias_value":"2404.12327v2","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.12327","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"pith_short_12","alias_value":"FJ25EHH3UFAN","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"pith_short_16","alias_value":"FJ25EHH3UFANNK4U","created_at":"2026-07-05T09:35:09Z"},{"alias_kind":"pith_short_8","alias_value":"FJ25EHH3","created_at":"2026-07-05T09:35:09Z"}],"graph_snapshots":[{"event_id":"sha256:d1626eb91d9f7c65bd7e3b2a04c252167b1acda682b4debffae97eeda9738661","target":"graph","created_at":"2026-07-05T09:35:09Z","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/2404.12327/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide rigorous criteria to determine whether the non-hydrodynamic sector of a relativistic kinetic theory is gapless. These general criteria apply to both Boltzmann's equation and approximate models thereof, provided that the latter are consistent with thermodynamic principles. As an application of these criteria, we prove that the non-hydrodynamic sector is gapless whenever the scattering cross-section decays to zero at large energies. Physically, this happens because, if particles with very high energy (compared to the temperature) are free streaming, we can use them to build hot non-hy","authors_text":"Lorenzo Gavassino","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2024-04-18T16:55:12Z","title":"Gapless non-hydrodynamic modes in relativistic kinetic theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.12327","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":"sha256:767fe3969d6a533a1f7880843e60d11c05ae7e790d67734cd007ac98a1b88f0e","target":"record","created_at":"2026-07-05T09:35:09Z","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":"dd0264d89169348e6d67234a8830161939ad4de4a5b007ebe0d69817df6edad4","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2024-04-18T16:55:12Z","title_canon_sha256":"2af66ed2a8ce8d23bbcf15bd9884609d331bdcf0ae7b7d113f90fe2aa83bdc7e"},"schema_version":"1.0","source":{"id":"2404.12327","kind":"arxiv","version":2}},"canonical_sha256":"2a75d21cfba140d6ab94ccc57da42882a37cafcf91f0617f014ec2ccd60161ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a75d21cfba140d6ab94ccc57da42882a37cafcf91f0617f014ec2ccd60161ea","first_computed_at":"2026-07-05T09:35:09.445507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:35:09.445507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8ZzEmaBySU771F93Igsz+t4fR8QJm9JJ3A2d7eTHrzhGqiYiS64MHY5YLLBbwlReVSmGCoGy/PNDrHnMm0yADg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:35:09.445910Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.12327","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:767fe3969d6a533a1f7880843e60d11c05ae7e790d67734cd007ac98a1b88f0e","sha256:d1626eb91d9f7c65bd7e3b2a04c252167b1acda682b4debffae97eeda9738661"],"state_sha256":"715ae341a86f9a8e199f394a251f3daa8335e5f804f97a8922979e1d6a8d4eb6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NyaBmz+bX0Gc6lxedWcK8YuVDXLoVbES5V8KDzE2sxqH2spIOxpY8CtrNaPcGzMh9unNooT2sGw0+89lUmgLBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T17:05:24.579636Z","bundle_sha256":"74fa2c6b68696bad74917e07db6d58e4adf1187bac0ea570f52d2b4843e98955"}}