{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:C5O4LXMHEEIFQPCAVUK726GJPW","short_pith_number":"pith:C5O4LXMH","canonical_record":{"source":{"id":"hep-ph/0410280","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-20T17:02:55Z","cross_cats_sorted":["astro-ph","cond-mat.stat-mech","hep-th"],"title_canon_sha256":"4d65b159d717df5224c38c0490be800bd86091153fe7bf6dd84777eef08146db","abstract_canon_sha256":"2db18df856274293f1a17cab22c72c859210e3bc73326f66f991a27562c60ee8"},"schema_version":"1.0"},"canonical_sha256":"175dc5dd872110583c40ad15fd78c97d94321dc5491918d71364092699617afb","source":{"kind":"arxiv","id":"hep-ph/0410280","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0410280","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0410280v2","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0410280","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"pith_short_12","alias_value":"C5O4LXMHEEIF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"C5O4LXMHEEIFQPCA","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"C5O4LXMH","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:C5O4LXMHEEIFQPCAVUK726GJPW","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0410280","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-20T17:02:55Z","cross_cats_sorted":["astro-ph","cond-mat.stat-mech","hep-th"],"title_canon_sha256":"4d65b159d717df5224c38c0490be800bd86091153fe7bf6dd84777eef08146db","abstract_canon_sha256":"2db18df856274293f1a17cab22c72c859210e3bc73326f66f991a27562c60ee8"},"schema_version":"1.0"},"canonical_sha256":"175dc5dd872110583c40ad15fd78c97d94321dc5491918d71364092699617afb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:21.547492Z","signature_b64":"uIYjTllHRlb9p84uubdZ+2ZBgTeW+lRe+5Oc7DJPVtz7xUzY8U7OAmvyKyo0dTXINtF3yX2hADJwP/lOWUy/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"175dc5dd872110583c40ad15fd78c97d94321dc5491918d71364092699617afb","last_reissued_at":"2026-05-18T04:31:21.547020Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:21.547020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0410280","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":"2026-05-18T04:31:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tzhdl+zN9Px2DF/bK8o8ZdqDLt9MTP1mqzk2xS+GeP1CpY3Iwn9LyP7GhJ0RXTLtcj9eCvwtEu8+PmMlydjxCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:02:32.060859Z"},"content_sha256":"b5965a78f9543f8597eb00d1e66b351b7256089e30224b35d40a8bfb50834048","schema_version":"1.0","event_id":"sha256:b5965a78f9543f8597eb00d1e66b351b7256089e30224b35d40a8bfb50834048"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:C5O4LXMHEEIFQPCAVUK726GJPW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ultraviolet cascade in the thermalization of the classical phi^4 theory in 3+1 dimensions","license":"","headline":"","cross_cats":["astro-ph","cond-mat.stat-mech","hep-th"],"primary_cat":"hep-ph","authors_text":"C. Destri, H. J. de Vega","submitted_at":"2004-10-20T17:02:55Z","abstract_excerpt":"We investigate the dynamics of thermalization and the approach to equilibrium in the classical phi^4 theory in 3+1 spacetime dimensions. The non-equilibrium dynamics is studied by numerically solving the equations of motion in a light- cone-like discretization of the model for a broad range of initial conditions and energy densities.A smooth cascade of energy towards the ultraviolet is found to be the basic mechanism of thermalization.After an initial transient stage,at a time scale of several hundreds inverse masses,the squared of the field gradient becomes larger than the nonlinear term and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0410280","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":""},"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":"2026-05-18T04:31:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TgCkW0mYITlfPU53klUBxu93qiS6Hs6dqn6o6RDCLW1DUIFRgjFFhE4kWhNc5lJbu/+sb2z3KA5xr2I9aVZyAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:02:32.061580Z"},"content_sha256":"e0d671952ab6500c5eede8ee6fb87a1a4e2792166ab44ca70bae827beb6d4da9","schema_version":"1.0","event_id":"sha256:e0d671952ab6500c5eede8ee6fb87a1a4e2792166ab44ca70bae827beb6d4da9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C5O4LXMHEEIFQPCAVUK726GJPW/bundle.json","state_url":"https://pith.science/pith/C5O4LXMHEEIFQPCAVUK726GJPW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C5O4LXMHEEIFQPCAVUK726GJPW/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":"2026-06-08T17:02:32Z","links":{"resolver":"https://pith.science/pith/C5O4LXMHEEIFQPCAVUK726GJPW","bundle":"https://pith.science/pith/C5O4LXMHEEIFQPCAVUK726GJPW/bundle.json","state":"https://pith.science/pith/C5O4LXMHEEIFQPCAVUK726GJPW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C5O4LXMHEEIFQPCAVUK726GJPW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:C5O4LXMHEEIFQPCAVUK726GJPW","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":"2db18df856274293f1a17cab22c72c859210e3bc73326f66f991a27562c60ee8","cross_cats_sorted":["astro-ph","cond-mat.stat-mech","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-20T17:02:55Z","title_canon_sha256":"4d65b159d717df5224c38c0490be800bd86091153fe7bf6dd84777eef08146db"},"schema_version":"1.0","source":{"id":"hep-ph/0410280","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0410280","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0410280v2","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0410280","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"pith_short_12","alias_value":"C5O4LXMHEEIF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"C5O4LXMHEEIFQPCA","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"C5O4LXMH","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:e0d671952ab6500c5eede8ee6fb87a1a4e2792166ab44ca70bae827beb6d4da9","target":"graph","created_at":"2026-05-18T04:31:21Z","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 investigate the dynamics of thermalization and the approach to equilibrium in the classical phi^4 theory in 3+1 spacetime dimensions. The non-equilibrium dynamics is studied by numerically solving the equations of motion in a light- cone-like discretization of the model for a broad range of initial conditions and energy densities.A smooth cascade of energy towards the ultraviolet is found to be the basic mechanism of thermalization.After an initial transient stage,at a time scale of several hundreds inverse masses,the squared of the field gradient becomes larger than the nonlinear term and ","authors_text":"C. Destri, H. J. de Vega","cross_cats":["astro-ph","cond-mat.stat-mech","hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2004-10-20T17:02:55Z","title":"Ultraviolet cascade in the thermalization of the classical phi^4 theory in 3+1 dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0410280","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:b5965a78f9543f8597eb00d1e66b351b7256089e30224b35d40a8bfb50834048","target":"record","created_at":"2026-05-18T04:31:21Z","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":"2db18df856274293f1a17cab22c72c859210e3bc73326f66f991a27562c60ee8","cross_cats_sorted":["astro-ph","cond-mat.stat-mech","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-20T17:02:55Z","title_canon_sha256":"4d65b159d717df5224c38c0490be800bd86091153fe7bf6dd84777eef08146db"},"schema_version":"1.0","source":{"id":"hep-ph/0410280","kind":"arxiv","version":2}},"canonical_sha256":"175dc5dd872110583c40ad15fd78c97d94321dc5491918d71364092699617afb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"175dc5dd872110583c40ad15fd78c97d94321dc5491918d71364092699617afb","first_computed_at":"2026-05-18T04:31:21.547020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:21.547020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uIYjTllHRlb9p84uubdZ+2ZBgTeW+lRe+5Oc7DJPVtz7xUzY8U7OAmvyKyo0dTXINtF3yX2hADJwP/lOWUy/Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:21.547492Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0410280","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5965a78f9543f8597eb00d1e66b351b7256089e30224b35d40a8bfb50834048","sha256:e0d671952ab6500c5eede8ee6fb87a1a4e2792166ab44ca70bae827beb6d4da9"],"state_sha256":"e89930c281328eb85b364d9c5aab5c27388ccaa8510a7ee4bd0281c68cbdc261"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H3dqsv5fdAQkVSkCtGMa01UT0AoRSixBWwzAWu0CPGbTcmCmtG+6MGV56AFKc/2cRbViWmEChrxVeICwe81QDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:02:32.065623Z","bundle_sha256":"66beebadcee7b0b435f2ef6a8ac08a450de106149dcd7ed6c589ccba38a7083a"}}