{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OR3X2YD3OXEE5DNWTL5VXEWZ2E","short_pith_number":"pith:OR3X2YD3","canonical_record":{"source":{"id":"1009.2175","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-11T14:36:27Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"title_canon_sha256":"feae470379b54ae61cb20efe72e781e5633b6d6c55e7adbab964f9e54e338fed","abstract_canon_sha256":"d975f4eb16f342ede93bf57fe713e097de3c8cc2ed1f848c5cf5c208bc515195"},"schema_version":"1.0"},"canonical_sha256":"74777d607b75c84e8db69afb5b92d9d13b9090e0654b1ccce0f5e33619823cfc","source":{"kind":"arxiv","id":"1009.2175","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2175","created_at":"2026-05-18T02:50:58Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2175v3","created_at":"2026-05-18T02:50:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2175","created_at":"2026-05-18T02:50:58Z"},{"alias_kind":"pith_short_12","alias_value":"OR3X2YD3OXEE","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OR3X2YD3OXEE5DNW","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OR3X2YD3","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OR3X2YD3OXEE5DNWTL5VXEWZ2E","target":"record","payload":{"canonical_record":{"source":{"id":"1009.2175","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-11T14:36:27Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"title_canon_sha256":"feae470379b54ae61cb20efe72e781e5633b6d6c55e7adbab964f9e54e338fed","abstract_canon_sha256":"d975f4eb16f342ede93bf57fe713e097de3c8cc2ed1f848c5cf5c208bc515195"},"schema_version":"1.0"},"canonical_sha256":"74777d607b75c84e8db69afb5b92d9d13b9090e0654b1ccce0f5e33619823cfc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:58.924924Z","signature_b64":"K6Kim8GBSL9Y3Z8ph9xsB84WFZadIKs2K1z+0mjwG1BngSWeu8zdifTR0LL3V9ezwvNC0aBABKmGSHsuHqByDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74777d607b75c84e8db69afb5b92d9d13b9090e0654b1ccce0f5e33619823cfc","last_reissued_at":"2026-05-18T02:50:58.924454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:58.924454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.2175","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:50:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jw3bQ3VUr4TbYQ9p5aozi63hOned4rp4tUZC+oxKFLfhe2Axl5NcreHIiOhZQ/U8T7WoHFSdq9rpjdq3nymjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:30:35.163135Z"},"content_sha256":"c617cd36acf481c355bfec4354b0aa6c0d1001c4a8bb964735b25bfb3fa1a8d0","schema_version":"1.0","event_id":"sha256:c617cd36acf481c355bfec4354b0aa6c0d1001c4a8bb964735b25bfb3fa1a8d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OR3X2YD3OXEE5DNWTL5VXEWZ2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hydrodynamic Limit for an Hamiltonian System with Boundary Conditions and Conservative Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Nadine Even, Stefano Olla","submitted_at":"2010-09-11T14:36:27Z","abstract_excerpt":"We study the hyperbolic scaling limit for a chain of N coupled anharmonic oscillators. The chain is attached to a point on the left and there is a force (tension) $\\tau$ acting on the right. In order to provide good ergodic properties to the system, we perturb the Hamiltonian dynamics with random local exchanges of velocities between the particles, so that momentum and energy are locally conserved. We prove that in the macroscopic limit the distributions of the elongation, momentum and energy, converge to the solution of the Euler system of equations, in the smooth regime."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2175","kind":"arxiv","version":3},"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":"2026-05-18T02:50:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WFcFUU2TYk8deF4pcALZiY89NW/ZvDti2xwUwQcaUm1yCqmFch2SGG8v2RT6IvrJQZlTXJnCie1oUsno08DwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:30:35.163508Z"},"content_sha256":"fdaa73f73bfe76881da850df07c5ce36ada9559d0b97ab1f1f77ae887e65f0e1","schema_version":"1.0","event_id":"sha256:fdaa73f73bfe76881da850df07c5ce36ada9559d0b97ab1f1f77ae887e65f0e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OR3X2YD3OXEE5DNWTL5VXEWZ2E/bundle.json","state_url":"https://pith.science/pith/OR3X2YD3OXEE5DNWTL5VXEWZ2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OR3X2YD3OXEE5DNWTL5VXEWZ2E/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":"2026-06-01T07:30:35Z","links":{"resolver":"https://pith.science/pith/OR3X2YD3OXEE5DNWTL5VXEWZ2E","bundle":"https://pith.science/pith/OR3X2YD3OXEE5DNWTL5VXEWZ2E/bundle.json","state":"https://pith.science/pith/OR3X2YD3OXEE5DNWTL5VXEWZ2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OR3X2YD3OXEE5DNWTL5VXEWZ2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OR3X2YD3OXEE5DNWTL5VXEWZ2E","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":"d975f4eb16f342ede93bf57fe713e097de3c8cc2ed1f848c5cf5c208bc515195","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-11T14:36:27Z","title_canon_sha256":"feae470379b54ae61cb20efe72e781e5633b6d6c55e7adbab964f9e54e338fed"},"schema_version":"1.0","source":{"id":"1009.2175","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2175","created_at":"2026-05-18T02:50:58Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2175v3","created_at":"2026-05-18T02:50:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2175","created_at":"2026-05-18T02:50:58Z"},{"alias_kind":"pith_short_12","alias_value":"OR3X2YD3OXEE","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OR3X2YD3OXEE5DNW","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OR3X2YD3","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:fdaa73f73bfe76881da850df07c5ce36ada9559d0b97ab1f1f77ae887e65f0e1","target":"graph","created_at":"2026-05-18T02:50:58Z","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 study the hyperbolic scaling limit for a chain of N coupled anharmonic oscillators. The chain is attached to a point on the left and there is a force (tension) $\\tau$ acting on the right. In order to provide good ergodic properties to the system, we perturb the Hamiltonian dynamics with random local exchanges of velocities between the particles, so that momentum and energy are locally conserved. We prove that in the macroscopic limit the distributions of the elongation, momentum and energy, converge to the solution of the Euler system of equations, in the smooth regime.","authors_text":"Nadine Even, Stefano Olla","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-11T14:36:27Z","title":"Hydrodynamic Limit for an Hamiltonian System with Boundary Conditions and Conservative Noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2175","kind":"arxiv","version":3},"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:c617cd36acf481c355bfec4354b0aa6c0d1001c4a8bb964735b25bfb3fa1a8d0","target":"record","created_at":"2026-05-18T02:50:58Z","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":"d975f4eb16f342ede93bf57fe713e097de3c8cc2ed1f848c5cf5c208bc515195","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-11T14:36:27Z","title_canon_sha256":"feae470379b54ae61cb20efe72e781e5633b6d6c55e7adbab964f9e54e338fed"},"schema_version":"1.0","source":{"id":"1009.2175","kind":"arxiv","version":3}},"canonical_sha256":"74777d607b75c84e8db69afb5b92d9d13b9090e0654b1ccce0f5e33619823cfc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74777d607b75c84e8db69afb5b92d9d13b9090e0654b1ccce0f5e33619823cfc","first_computed_at":"2026-05-18T02:50:58.924454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:58.924454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K6Kim8GBSL9Y3Z8ph9xsB84WFZadIKs2K1z+0mjwG1BngSWeu8zdifTR0LL3V9ezwvNC0aBABKmGSHsuHqByDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:58.924924Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.2175","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c617cd36acf481c355bfec4354b0aa6c0d1001c4a8bb964735b25bfb3fa1a8d0","sha256:fdaa73f73bfe76881da850df07c5ce36ada9559d0b97ab1f1f77ae887e65f0e1"],"state_sha256":"d04a052c8ac49f8738f60003f9ec20c0176279128ad0dd13df25f2eb86f7dd23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4XGHkPEJ+AfNk3RO8mXZE3e/T4Vx5UJJpmF2ysLwTHrZatW8cx1AwKtlf3bQcKjmVuKHT8hfjwBH5yjwGpmSBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:30:35.165721Z","bundle_sha256":"87b1929bf091f0b872a3db0d85a914df22bfea480f6a7f75fd888281b5c8434a"}}